@article{ WOS:A1996UR78400011, Author = {Yazenin, AV}, Title = {On the problem of possibilistic optimization}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1996}, Volume = {81}, Number = {1}, Pages = {133-140}, Month = {JUL 8}, Abstract = {This paper is a continuation on the author's investigation on possibilistic optimization problems which are considered from general methodological positions of possibility theory and managing uncertainty, as well. To tackle optimization tasks under uncertainty a calculus for possibilities is developed leading to classic and interval-valued optimization.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yazenin, AV (Corresponding Author), TVER STATE UNIV, DEPT INFORMAT, UL ZHELYABOVA 33, TVER 170000, RUSSIA.}, DOI = {10.1016/0165-0114(95)00245-6}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {possibilistic optimization; possibility measure; interval arithmetics}, Keywords-Plus = {FUZZY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, ResearcherID-Numbers = {Yazenin, Alexander/S-3423-2019}, Cited-References = {Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BOURBAKI N, 1969, TOPOLOGIE GENERALE. Dubois D., 1988, POSSIBILITY THEORY. 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YAZENIN AV, 1993, IZV RAN TEKHN KIBERN, V5, P149. YAZENIN AV, 1986, FUZZY MATH PROGRAMMI. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZIMMERMANN HJ, 1983, COMPUT OPER RES, V10, P291, DOI 10.1016/0305-0548(83)90004-7. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {22}, Times-Cited = {36}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {UR784}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996UR78400011}, DA = {2026-04-14}, } @article{ WOS:000372889600032, Author = {Wang, Dong and Zhang, Yan and Jia, Xiang and Jiang, Ping and Guo, Bo}, Title = {Handling Uncertainties in Fault Tree Analysis by a Hybrid Probabilistic-Possibilistic Framework}, Journal = {QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL}, Year = {2016}, Volume = {32}, Number = {3}, Pages = {1137-1148}, Month = {APR}, Abstract = {Fault tree analysis is a method largely used in probabilistic risk assessment. Uncertainties should be properly handled in fault tree analyses to support a robust decision making. While many sources of uncertainties are considered, dependence uncertainties are not much explored. Such uncertainties can be labeled as epistemic' because of the way dependence is modeled. In practice, despite probability theory, alternative mathematical structures, including possibility theory and fuzzy set theory, for the representation of epistemic uncertainty can be used. In this article, a fuzzy factor is considered to represent the failure dependence uncertainties among basic events. The relationship between factor and system failure probability is analyzed to support the use of a hybrid probabilistic-possibilistic approach. As a result, a complete hybrid probabilistic-possibilistic framework is constructed. A case study of a high integrity pressure protection system is discussed. The results show that the proposed method provides decision makers a more accurate understanding of the system under analysis when failure dependencies are involved. Copyright (c) 2015 John Wiley \& Sons, Ltd.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Wang, D (Corresponding Author), Natl Univ Def Technol, Dept Syst Engn, Coll Informat Syst \& Management, Changsha 410073, Hunan, Peoples R China. Wang, Dong; Zhang, Yan; Jia, Xiang; Jiang, Ping; Guo, Bo, Natl Univ Def Technol, Coll Informat Syst \& Management, Changsha 410073, Hunan, Peoples R China.}, DOI = {10.1002/qre.1821}, ISSN = {0748-8017}, EISSN = {1099-1638}, Keywords = {uncertainty; FTA; CCF; fuzzy factor; hybrid framework}, Keywords-Plus = {COMMON-CAUSE FAILURE; JOINT PROPAGATION; RISK ANALYSIS; ASSESSMENTS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {wonderfulwinter@sina.com}, Affiliations = {National University of Defense Technology - China}, ResearcherID-Numbers = {Wang, Dong/LJL-9793-2024 Jia, Xiang/L-7466-2019}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}11101428]}, Funding-Text = {This work is supported by the National Natural Science Foundation of China (no. 11101428).}, Cited-References = {Abrahamsson M., 2002, UNCERTAINTY QUANTITA. {[}Anonymous], FAULT TREE HDB AEROS. {[}Anonymous], 1999, 61508 IEC. 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Int.}, Doc-Delivery-Number = {DH6GS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000372889600032}, DA = {2026-04-14}, } @article{ WOS:000178079900003, Author = {de Cooman, G and Walley, P}, Title = {A possibilistic hierarchical model for behaviour under uncertainty}, Journal = {THEORY AND DECISION}, Year = {2002}, Volume = {52}, Number = {4}, Pages = {327-374}, Month = {JUN}, Abstract = {Hierarchical models are commonly used for modelling uncertainty. They arise whenever there is a `correct' or `ideal' uncertainty model but the modeller is uncertain about what it is. Hierarchical models which involve probability distributions are widely used in Bayesian inference. Alternative models which involve possibility distributions have been proposed by several authors, but these models do not have a clear operational meaning. This paper describes a new hierarchical model which is mathematically equivalent to some of the earlier, possibilistic models and also has a simple behavioural interpretation, in terms of betting rates concerning whether or not a decision maker will agree to buy or sell a risky investment for a specified price. We give a representation theorem which shows that any consistent model of this kind can be interpreted as a model for uncertainty about the behaviour of a Bayesian decision maker. We describe how the model can be used to generate buying and selling prices and to make decisions.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {de Cooman, G (Corresponding Author), Univ Ghent, Onderzoeksgroep Syst, Technol Pk 9, B-9052 Zwijnaarde, Belgium. Univ Ghent, Onderzoeksgroep Syst, B-9052 Zwijnaarde, Belgium.}, DOI = {10.1023/A:1020296514974}, ISSN = {0040-5833}, EISSN = {1573-7187}, Keywords = {buying function; fuzzy probability; imprecise hierarchical model; imprecise probability; possibilistic coherence; possibility distribution; possibility measure; price function; second-order uncertainty; upper and lower probability}, Keywords-Plus = {PROBABILITIES; UTILITY}, Research-Areas = {Business \& Economics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Social Sciences, Mathematical Methods}, Affiliations = {Ghent University}, ResearcherID-Numbers = {De Cooman, Gert/E-3997-2015}, ORCID-Numbers = {De Cooman, Gert/0000-0002-0469-1422}, Cited-References = {{[}Anonymous], P 8 C UNC ART INT UA. {[}Anonymous], BAYESIAN STAT. AUMANN RJ, 1962, ECONOMETRICA, V30, P445, DOI 10.2307/1909888. Berger J., 1994, Test, V3, P5, DOI DOI 10.1007/BF02562676. 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The so-called qualitative possibilistic influence diagrams extend standard influence diagrams in order to avoid difficulties attached to the specification of both probability distributions relative to chance nodes and utilities relative to value nodes. In fact, generally, it is easier for experts to quantity dependencies between chance nodes qualitatively via possibility distributions and to provide a preferential relation between different consequences. In such a case, the possibility theory offers a suitable modeling framework. Different combinations of the quantification between chance and utility nodes offer several kinds of possibilistic influence diagrams. This paper focuses on qualitative ones and proposes an indirect evaluation method based on their transformation into possibilistic networks. The proposed approach is implemented via a possibilistic influence diagram toolbox (PIDT). (c) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Guezguez, W (Corresponding Author), Inst Super Gest Tunis, LARODEC, 41 Ave Liberte, Le Bardo 2000, Tunisia. Guezguez, Wided; Ben Amor, Nahla; Mellouli, Khaled, Inst Super Gest Tunis, LARODEC, Le Bardo 2000, Tunisia.}, DOI = {10.1016/j.ejor.2008.01.051}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Decision theory; Influence diagrams; Possibility theory; Ordinal utilities; Binary qualitative utilities}, Keywords-Plus = {DECISION-MAKING}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {widedguezguez@gmail.fr nahla.benamor@gmx.fr khaled.mellouli@ihec.rnu.tn}, Affiliations = {Universite de Tunis}, ORCID-Numbers = {Nahla, Ben Amor/0000-0002-8667-0798}, Cited-References = {{[}Anonymous], THESIS. {[}Anonymous], 1948, THEORY GAMES EC BEHA. {[}Anonymous], EUROPEAN J OPERATION. BENAMOR N, 2001, SOFT COMPUTING FUSIO, V8, P50. BORGELT C, 1998, P INT SCH SYNTH EXP. 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Zadeh L., 1979, MACHINE INTELLIGENCE, P149. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {21}, Times-Cited = {11}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Omega-Int. J. Manage. Sci.}, Doc-Delivery-Number = {PL932}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1994PL93200008}, DA = {2026-04-14}, } @article{ WOS:000245749900008, Author = {Kentel, Elcin and Aral, Mustafa M.}, Title = {Risk tolerance measure for decision-making in fuzzy analysis: a health risk assessment perspective}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2007}, Volume = {21}, Number = {4}, Pages = {405-417}, Month = {MAY}, Abstract = {In risk assessment studies it is important to determine how uncertain and imprecise knowledge should be included into the simulation and assessment models. Thus, proper evaluation of uncertainties has become a major concern in environmental and health risk assessment studies. Previously, researchers have used probability theory, more commonly Monte Carlo analysis, to incorporate uncertainty analysis in health risk assessment studies. However, in conducting probabilistic health risk assessment, risk analyst often suffers from lack of data or the presence of imperfect or incomplete knowledge about the process modeled and also the process parameters. Fuzzy set theory is a tool that has been used in propagating imperfect and incomplete information in health risk assessment studies. Such analysis result in fuzzy risks which are associated with membership functions. Since possibilistic health risk assessment studies are relatively new, standard procedures for decision-making about the acceptability of the resulting fuzzy risk with respect to a crisp standard set by the regulatory agency are not fully established. In this paper, we are providing a review of several available approaches which may be used in decision-making. These approaches involve defuzzification techniques, the possibility and the necessity measures. In this study, we also propose a new measure, the risk tolerance measure, which can be used in decision making. The risk tolerance measure provides an effective metric for evaluating the acceptability of a fuzzy risk with respect to a crisp compliance criterion. Fuzzy risks with different membership functions are evaluated with respect to a crisp compliance criterion by using the possibility, the necessity, and the risk tolerance measures and the results are discussed comparatively.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Aral, MM (Corresponding Author), Georgia Inst Technol, Sch Civil \& Environm Engn, Multimedia Environm Simulat Lab, Atlanta, GA 30332 USA. Georgia Inst Technol, Sch Civil \& Environm Engn, Multimedia Environm Simulat Lab, Atlanta, GA 30332 USA.}, DOI = {10.1007/s00477-006-0073-2}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {health risk assessment; decision making; possibility measure; necessity measure; risk tolerance measure; defuzzification}, Keywords-Plus = {ADDRESSING UNCERTAINTY; SIMULATION; SET}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {mustafa.aral@ce.gatech.ed}, Affiliations = {University System of Georgia; Georgia Institute of Technology}, ResearcherID-Numbers = {Kentel, Elcin/ABA-2696-2020 Aral, Mustafa M/L-3811-2019}, ORCID-Numbers = {Kentel, Elcin/0000-0002-7477-0345 Aral, Mustafa M/0000-0003-4640-8717}, Cited-References = {BARDOSSY A, 1991, APPL MATH COMPUT, V45, P241, DOI 10.1016/0096-3003(91)90083-Y. Bonano EJ, 2000, J HAZARD MATER, V71, P35, DOI 10.1016/S0304-3894(99)00071-0. Christakos G, 2000, J EXPO ANAL ENV EPID, V10, P168, DOI 10.1038/sj.jea.7500077. Come B., 1997, D CHETS SCI TECHNIQU, V7, P40. Cullen AlisonC., 1999, PROBABILISTIC TECHNI. Delgado M, 1998, FUZZY SET SYST, V94, P205, DOI 10.1016/S0165-0114(96)00247-3. DOU CH, 1995, WATER RESOUR RES, V31, P2709, DOI 10.1029/95WR02310. Dubois D., 1988, POSSIBILITY THEORY. {*}EPA US, 2001, RISK ASS GUID SUP A, V3. {*}EPA US, 2000, EPA540R99013 OFF SOL. Ferson S, 1996, RELIAB ENG SYST SAFE, V54, P133, DOI 10.1016/S0951-8320(96)00071-3. Guyonnet D, 1999, J ENVIRON ENG, V125, P660, DOI 10.1061/(ASCE)0733-9372(1999)125:7(660). Guyonnet D, 2003, J ENVIRON ENG, V129, P68, DOI 10.1061/(ASCE)0733-9372(2003)129:1(68). Kandel A., 1986, FUZZY MATH TECHNIQUE. Kaufmann A., 1985, Introduction to Fuzzy Arithmetic : Theory and Applications. Kelly EJ, 2000, HUM ECOL RISK ASSESS, V6, P1, DOI 10.1080/10807030091124419. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {34}, Times-Cited = {24}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {157VQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000245749900008}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000487642200001, Author = {Balamuralikrishna, Nishita and Jiang, Yingnan and Koehler, Henning and Leck, Uwe and Link, Sebastian and Prade, Henri}, Title = {Possibilistic keys}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2019}, Volume = {376}, Pages = {1-36}, Month = {DEC 1}, Abstract = {Possibility theory is applied to introduce and reason about the fundamental notion of a key for uncertain data. Uncertainty is modeled qualitatively by assigning to tuples of data a degree of possibility with which they occur in a relation, and assigning to keys a degree of certainty which says to which tuples the key applies. The associated implication problem is characterized axiomatically and algorithmically. Using extremal combinatorics, we then characterize the families of non-redundant possibilistic keys that attain maximum cardinality. In addition, we show how to compute for any given set of possibilistic keys a possibilistic Armstrong relation, that is, a possibilistic relation that satisfies every key in the given set and violates every possibilistic key not implied by the given set. We also establish an algorithm for the discovery of all possibilistic keys that are satisfied by a given possibilistic relation. It is shown that the computational complexity of computing possibilistic Armstrong relations is precisely exponential in the input, and the decision variant of the discovery problem is NP-complete as well as W{[}2]-complete in the size of the possibilistic key. Further applications of possibilistic keys in constraint maintenance, data cleaning, and query processing are illustrated by examples. The computation of possibilistic Armstrong relations and discovery of possibilistic keys from possibilistic relations have been implemented as prototypes. Extensive experiments with these prototypes provide insight into the size of possibilistic Armstrong relations and the time to compute them, as well as the time it takes to compute a cover of the possibilistic keys that hold on a possibilistic relation, and the time it takes to remove any redundant possibilistic keys from this cover. (C) 2019 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Link, S (Corresponding Author), Univ Auckland, Dept Comp Sci, Auckland, New Zealand. Koehler, Henning, Massey Univ, Sch Engn \& Adv Technol, Auckland, New Zealand. Leck, Uwe, Univ Flensburg, Dept Math, Flensburg, Germany. Balamuralikrishna, Nishita; Jiang, Yingnan; Link, Sebastian, Univ Auckland, Dept Comp Sci, Auckland, New Zealand. Prade, Henri, CNRS, IRIT, Paris, France. Prade, Henri, Univ Toulouse III, Toulouse, France.}, DOI = {10.1016/j.fss.2019.01.008}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Armstrong relation; Axiomatization; Constraint maintenance; Database; Extremal combinatorics; Discovery; Implication; Key; Possibility theory; Uncertain data}, Keywords-Plus = {CARDINALITY CONSTRAINTS; DATABASES; ALGORITHMS; UNCERTAINTY; DISCOVERY; DESIGN; MODEL}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {h.koehler@massey.ac.nz uwe.leck@uni-flensburg.de s.link@auckland.ac.nz prade@irit.fr}, Affiliations = {Massey University; University of Auckland; Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier}, ResearcherID-Numbers = {Link, Sebastian/Z-4719-2019}, ORCID-Numbers = {Link, Sebastian/0000-0002-1816-2863}, Funding-Acknowledgement = {Marsden Fund Council from New Zealand Government {[}3701176]}, Funding-Text = {This research is partially supported by the Marsden Fund Council (grant no 3701176) from New Zealand Government funding.}, Cited-References = {{[}Anonymous], ANN U SCI BUDAPEST. 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Zadrozny Slawomir, 2009, Database Technologies: Concepts, Methodologies, Tools, and Applications, P135.}, Number-of-Cited-References = {66}, Times-Cited = {10}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {JA2JE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000487642200001}, OA = {Green Submitted, Green Accepted}, DA = {2026-04-14}, } @article{ WOS:000259100700003, Author = {Appadoo, S. S. and Bhatt, S. K. and Bector, C. R.}, Title = {Application of possibility theory to investment decisions}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2008}, Volume = {7}, Number = {1}, Pages = {35-57}, Month = {MAR}, Abstract = {Carlson and Fuller (2001, Fuzzy Sets and Systems, 122, 315-326) introduced the concept of possibilistic mean, variance and covariance of fuzzy numbers. In this paper, we extend some of these results to a nonlinear type of fuzzy numbers called adaptive fuzzy numbers (see Bodjanova (2005, Information Science, 172, 73-89) for detail). We then discuss the application of these results to decision making problems in which the parameters may involve uncertainty and vagueness. As an application, we develop expression for fuzzy net present value (FNPV) of future cash flows involving adaptive fuzzy numbers by using their possibilistic moments. An illustrative numerical example is given to illustrate the results.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Appadoo, SS (Corresponding Author), Univ Manitoba, Dept Supply Chain Management, Winnipegd, MB R3T 5V4, Canada. Appadoo, S. S.; Bhatt, S. K., Univ Manitoba, Dept Supply Chain Management, Winnipegd, MB R3T 5V4, Canada. Bector, C. R., Univ Manitoba, Dept Business Adm, Winnipegd, MB R3T 5V4, Canada.}, DOI = {10.1007/s10700-007-9023-9}, ISSN = {1568-4539}, Keywords = {uncertainty; vagueness; possibilistic moments; adaptive fuzzy numbers; decision making problem}, Keywords-Plus = {FUZZY NUMBERS; OPTION VALUATION; MATHEMATICS; VARIANCE; FINANCE; MODELS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {appadoo@cc.umanitoba.ca skbhatt@cc.umanitoba.ca bector@cc.umanitoba.ca}, Affiliations = {University of Manitoba; University of Manitoba}, Funding-Acknowledgement = {NSERC}, Funding-Text = {The research grant provided by NSERC and the research facilities provided by the Department of Supply Chain Management at the University of Manitoba are duly acknowledged. 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Mak.}, Doc-Delivery-Number = {346WQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000259100700003}, DA = {2026-04-14}, } @article{ WOS:000220891000001, Author = {Sgarro, A}, Title = {An axiomatic derivation of the coding-theoretic possibilistic entropy}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2004}, Volume = {143}, Number = {3}, Pages = {335-353}, Month = {MAY 1}, Abstract = {wWe re-take the possibilistic (strictly non-probabilistic) model for information sources and information coding put forward in (Fuzzy Sets and Systems 132-1 (2002) 11-32); the coding-theoretic possibilistic entropy is defined there as the asymptotic rate of compression codes, which are optimal with respect to a possibilistic (not probabilistic) criterion. By proving a uniqueness theorem, in this paper we provide also an axiomatic derivation for such a possibilistic entropy, and so are able to support its use as an adequate measure of non-specificity, or rather of ``possibilistic ignorance{''}, as we shall prefer to say. We compare our possibilistic entropy with two well-known measures of non-specificity: Hartley measure as found in set theory and U-uncertainty as found in possibility theory. The comparison allows us to show that the latter possesses also a coding-theoretic meaning. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sgarro, A (Corresponding Author), Univ Trieste, DSM, I-34100 Trieste, Italy. Univ Trieste, DSM, I-34100 Trieste, Italy.}, DOI = {10.1016/S0165-0114(03)00123-4}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {measures of information; possibility theory; possibilistic entropy; non-specificity; Shannon entropy; Hartley measure; U-uncertainty; fuzzy sets}, Keywords-Plus = {INFORMATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {sgarro@univ.trieste.it}, Affiliations = {University of Trieste}, Cited-References = {Cover TM., 2005, ELEMENTS INFORM THEO, DOI {[}10.1002/047174882X.ch14, DOI 10.1002/047174882X.CH14, 10.1002/047174882X]. CSISZAR I, 1981, INFORMATION THEORY. DeCooman G, 1997, INT J GEN SYST, V25, P291, DOI 10.1080/03081079708945160. Dubois D, 2000, HDB FUZZ SET SER, V7, P343. DUBOIS D, 1987, FUZZY SET SYST, V24, P161, DOI 10.1016/0165-0114(87)90088-1. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {14}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {813ES}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000220891000001}, DA = {2026-04-14}, } @article{ WOS:000269276400003, Author = {Georgescu, Irina}, Title = {Possibilistic risk aversion}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2009}, Volume = {160}, Number = {18}, Pages = {2608-2619}, Month = {SEP 16}, Abstract = {Risk theory is usually developed within probability theory. The aim of this paper is to propose ail approach of the risk aversion by possibility theory, initiated by Zadeh in 1978. The main notion studied in this paper is the possibilistic risk premium associated with a fuzzy number A and a utility function it. Under the hypothesis that the utility function it verifies certain hypotheses, one proves a formula to evaluate the possibilistic risk premium in terms of it and of some possibilistic indicators, (C) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Georgescu, I (Corresponding Author), Acad Econ Studies, Dept Econ Cybernet, Piata Romana 6,R 70167,Oficial Postal 22, Bucharest, Romania. Acad Econ Studies, Dept Econ Cybernet, Bucharest, Romania.}, DOI = {10.1016/j.fss.2008.12.007}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy numbers; Risk premium; Possibility theory; Risk aversion}, Keywords-Plus = {MEAN-VALUE; VARIANCE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {irina.georgescu@csie.ase.ro}, Affiliations = {Bucharest University of Economic Studies}, ResearcherID-Numbers = {Georgescu, Irina/K-6435-2015}, ORCID-Numbers = {Georgescu, Irina/0000-0002-8536-5636}, Cited-References = {{[}Anonymous], P 3 INT S HUNG RES C. {[}Anonymous], STUDIES FUZZINESS SO. ARROW KJ, 1970, ESSAYS THEORY RISK B. BILLOT A, 1995, FUZZY SET SYST, V74, P271, DOI 10.1016/0165-0114(95)00114-Z. CAMPOS L, 1994, INT J APPROX REASON, V10, P135, DOI 10.1016/0888-613X(94)90013-2. Carlsson C, 2005, FUZZY SET SYST, V155, P425, DOI 10.1016/j.fss.2005.04.014. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. COUSO I, 2007, DANS INT S IMPR PROB, P135. DJEMANE K, 2006, P 2 IEEE INT C E SCI. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. DUBOIS D, 1988, POSSIBILITY THEORY A. DUBOIS D, P 2005 IEEE INT C FU, P885. DUBOIS D, 1980, FUZZY SETS SYSTEMS T. Fullér R, 2003, FUZZY SET SYST, V136, P203, DOI 10.1016/S0165-0114(02)00267-1. FULLER R, 2000, ADV SOFT COMPUTING. GONZALEZ A, 1990, FUZZY SET SYST, V35, P29, DOI 10.1016/0165-0114(90)90016-Y. IBANEZ LMD, 1989, FUZZY SET SYST, V29, P145, DOI 10.1016/0165-0114(89)90188-7. Kreinovich V, 2006, INT J APPROX REASON, V42, P212, DOI 10.1016/j.ijar.2005.12.001. LAFFONT JJ, 1993, EC UNCERTAINTY INFOR. LIU B, 2002, IEEE T FUZZY SYSTEMS, V10. MAJLENDER P, 2004, THESIS TURKU CTR COM. MARES M, 2001, FUZZY COOPERATIVE GA. PRATT JW, 1964, ECONOMETRICA, V32, P122, DOI 10.2307/1913738. QUIGGIN J, 1993, GEN EXPECTED UTILITY. ROTHSCHILD M, 1970, J ECON THEORY, V2, P225, DOI 10.1016/0022-0531(70)90038-4. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {27}, Times-Cited = {35}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {487LT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000269276400003}, DA = {2026-04-14}, } @article{ WOS:A1996VN49300009, Author = {deCooman, G}, Title = {On modeling possibilistic uncertainty in two-state reliability theory}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1996}, Volume = {83}, Number = {2}, Pages = {215-238}, Month = {OCT 8}, Abstract = {In this paper, we show how a possibilistic uncertainty model can be used to represent and manipulate uncertainty about the states of a system and of its components. At the same time, we present a thorough study of the incorporation of this possibilistic uncertainty model in classical, two-state reliability theory. The possibilistic reliability of a component or system is introduced and studied. Furthermore, we introduce the important notion of a possibilistic structure function, based upon the concept of a classical, two-valued structure function. Under certain conditions of possibilistic independence, it allows us to calculate the possibilistic reliability of a system in terms of the possibilistic reliabilities of its components. Finally, we give straightforward methods for determining a possibilistic structure function from its classical, two-valued counterpart. In this way, we intend to show that a possibilistic uncertainty model in two-state reliability theory is formally analogous to, and certainly not more complicated than, a probabilistic uncertainty model.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {deCooman, G (Corresponding Author), STATE UNIV GHENT, VAKGRP ELEKT ENERGIETECH, TECHNOL PK 9, B-9052 ZWIJNAARDE, BELGIUM.}, DOI = {10.1016/0165-0114(95)00379-7}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {measure theory; possibility theory; reliability theory}, Keywords-Plus = {CONTINUUM STRUCTURE FUNCTIONS; STOCHASTIC PERFORMANCE; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, ResearcherID-Numbers = {De Cooman, Gert/E-3997-2015}, ORCID-Numbers = {De Cooman, Gert/0000-0002-0469-1422}, Cited-References = {{[}Anonymous], P INT ICSC S FUZZ LO. Barlow R. E., 1978, Mathematics of Operations Research, V3, P275, DOI 10.1287/moor.3.4.275. Barlow R.E., 1981, STAT THEORY RELIABIL, DOI DOI 10.1016/J.RESS.2020.107133. BARLOW RE, 1975, STATISTICAL THEORY R. BAXTER LA, 1984, J APPL PROBAB, V21, P802, DOI 10.2307/3213697. BAXTER LA, 1986, MATH PROC CAMBRIDGE, V99, P331, DOI 10.1017/S0305004100064240. BAXTER LA, 1986, J APPL PROBAB, V23, P660, DOI 10.2307/3214004. BAXTER LA, 1987, J APPL PROBAB, V24, P609, DOI 10.2307/3214093. Birkhoff G., 1967, AMS C PUBLICATIONS, VXXV. BIRNBAUM ZW, 1961, TECHNOMETRICS, V3, P55, DOI 10.2307/1266477. BOYEN L, 1995, FDN APPL POSSIBILITY, P88. Burrill C.W., 1972, MEASURE INTEGRATION. CAI KY, 1991, FUZZY SET SYST, V42, P145, DOI 10.1016/0165-0114(91)90143-E. CAI KY, 1994, FUZZY SET SYST, V66, P59, DOI 10.1016/0165-0114(94)90301-8. CAPPELLE B, 1991, INTRO BASIC PRINCIPL, P252. CAPPELLE B, 1991, P IFSA 91 IFSA 95 BR, P25. CAPPELLE B, 1995, FUZZY SET THEORY ADV, P201. CAPPELLE B, 1993, THESIS U GENT. Cooman G.D., 1994, J FUZZY MATH, V2, P281. de Finetti B., 1974, Theory of Probability, V1. DECOOMAN G, 1990, INT J INTELL SYST, V5, P307, DOI 10.1002/int.4550050307. deCooman G, 1996, FUZZY SET SYST, V77, P207, DOI 10.1016/0165-0114(95)00049-6. DECOOMAN G, 1994, PROCEEDINGS OF THE THIRD IEEE CONFERENCE ON FUZZY SYSTEMS - IEEE WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE, VOLS I-III, P1446, DOI 10.1109/FUZZY.1994.343605. DECOOMAN G, 1992, FUZZY SET SYST, V46, P287, DOI 10.1016/0165-0114(92)90143-R. DECOOMAN G, 1993, THESIS U GENT. DECOOMAN G, IN PRESS INT J GEN S. DECOOMAN G, 1993, S STEVIN, V67, P235. DECOOMAN G, 1995, FUZZY SET THEORY ADV, P89. ELNEWEIHI E, 1978, J APPL PROBAB, V15, P675, DOI 10.2307/3213425. GNEDENKO B, 1975, THEORY PROBABILITY, P50601. GNEDENKO BV, 1972, METHODES MATH THEORI. GOGUEN JA, 1967, J MATH ANAL APPL, V18, P145, DOI 10.1016/0022-247X(67)90189-8. Kaufmann A., 1977, Mathematical Models for the Study of the Reliability of Systems. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {44}, Times-Cited = {11}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {VN493}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996VN49300009}, DA = {2026-04-14}, } @article{ WOS:A1991KP87700012, Author = {BOUCHONMEUNIER, B}, Title = {ELICITATION OF OPINIONS BY MEANS OF POSSIBILISTIC SEQUENCES OF QUESTIONS}, Journal = {LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS}, Year = {1991}, Volume = {368}, Pages = {112-119}, Abstract = {Sequences of questions are used to elicit preferences of a given population in regards to a particular decision to make. The answers obtained from the inquired persons are allowed to be slightly different from the expected opinions, expressed by linguistic labels or weighted with coefficients indicating an uncertainty. We show how to interpret these answers with regard to the decision, and we also consider the case where the expected opinions are indicatory of the decision rather than absolutely conclusive. In this case, we propose a method to determine the sequence of questions providing the most efficient information with regard to the decision to make.}, Publisher = {SPRINGER VERLAG}, Address = {175 FIFTH AVE, NEW YORK, NY 10010}, Type = {Article}, Language = {English}, Affiliation = {UNIV PARIS 06,LAFORIA,TOUR 46,F-75252 PARIS 05,FRANCE.}, ISSN = {0075-8442}, Keywords = {PREFERENCE ELICITATION; QUESTIONS; POSSIBILITY THEORY; UNCERTAINTY}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Affiliations = {Sorbonne Universite}, Cited-References = {{[}Anonymous], 1987, Theorie des Possibilites. BOUCHON B, 1988, COMBINING FUZZY IMPR, P115. BOUCHON B, 1990, APPROXIMATE REASONIN, P115. BOUCHON B, 1985, MANAGE DECIS, P189. BOUCHON B, 1987, SOFT OPTIMIZATION MO, P110. FARRENY H, 1986, INFORMATION PROCESSI. WYSS E, 1988, THESIS I NATIONAL PO.}, Number-of-Cited-References = {7}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Lect. Notes Econ. Math. Syst.}, Doc-Delivery-Number = {KP877}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1991KP87700012}, DA = {2026-04-14}, } @article{ WOS:000340570900005, Author = {Flage, Roger and Aven, Terje and Zio, Enrico and Baraldi, Piero}, Title = {Concerns, Challenges, and Directions of Development for the Issue of Representing Uncertainty in Risk Assessment}, Journal = {RISK ANALYSIS}, Year = {2014}, Volume = {34}, Number = {7}, Pages = {1196-1207}, Month = {JUL}, Abstract = {In the analysis of the risk associated to rare events that may lead to catastrophic consequences with large uncertainty, it is questionable that the knowledge and information available for the analysis can be reflected properly by probabilities. Approaches other than purely probabilistic have been suggested, for example, using interval probabilities, possibilistic measures, or qualitative methods. In this article, we look into the problem and identify a number of issues that are foundational for its treatment. The foundational issues addressed reflect on the position that ``probability is perfect{''} and take into open consideration the need for an extended framework for risk assessment that reflects the separation that practically exists between analyst and decisionmaker.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Flage, R (Corresponding Author), Univ Stavanger, Fac Sci \& Technol, Dept Ind Econ Risk Management \& Planning, N-4036 Stavanger, Norway. Flage, Roger; Aven, Terje, Univ Stavanger, N-4036 Stavanger, Norway. Zio, Enrico, Ecole Cent Paris, European Fdn New Energy EDF, Chair Syst Sci \& Energet Challenge, Paris, France. Zio, Enrico, Supelec, Gif Sur Yvette, France. Zio, Enrico; Baraldi, Piero, Politecn Milan, Energy Dept, Milan, Italy.}, DOI = {10.1111/risa.12247}, ISSN = {0272-4332}, EISSN = {1539-6924}, Keywords = {Decision making; epistemic uncertainty; representation; risk assessment}, Keywords-Plus = {PERFORMANCE ASSESSMENT; IMPRECISE RELIABILITY; PROBABILITY; PROPAGATION; INFORMATION; EVENT}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {roger.flage@uis.no}, Affiliations = {Universitetet i Stavanger; Universite Paris Saclay; Universite Paris Saclay; Polytechnic University of Milan}, ResearcherID-Numbers = {Baraldi, Piero/C-2085-2011}, ORCID-Numbers = {Zio, Enrico/0000-0002-7108-637X Flage, Roger/0000-0002-2967-9104 }, Funding-Acknowledgement = {PETROMAKS2 program of the Research Council of Norway}, Funding-Text = {The work on this article has been partly funded by the PETROMAKS2 program of the Research Council of Norway. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {80}, Times-Cited = {143}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {45}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {AN4PU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000340570900005}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000328659700022, Author = {Liu, Yong-Jun and Zhang, Wei-Guo}, Title = {Fuzzy portfolio optimization model under real constraints}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2013}, Volume = {53}, Number = {3}, Pages = {704-711}, Month = {NOV}, Abstract = {This paper discusses a multi-objective portfolio optimization problem for practical portfolio selection in fuzzy environment, in which the return rates and the turnover rates are characterized by fuzzy variables. Based on the possibility theory, fuzzy return and liquidity are quantified by possibilistic mean, and market risk and liquidity risk are measured by lower possibilistic semivariance. Then, two possibilistic mean semivariance models with real constraints are proposed. To solve the proposed models, a fuzzy multi-objective programming technique is utilized to transform them into corresponding single-objective models and then a genetic algorithm is designed for solution. Finally, a numerical example is given to illustrate the application of our models. Comparative results show that the designed algorithm is effective for solving the proposed models. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, WG (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Liu, Yong-Jun; Zhang, Wei-Guo, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1016/j.insmatheco.2013.09.005}, ISSN = {0167-6687}, EISSN = {1873-5959}, Keywords = {Portfolio selection; Fuzzy number; Real constraints; Multi-objective optimization; Genetic algorithm}, Keywords-Plus = {TRANSACTION COSTS; SELECTION PROBLEM; BOUNDED ASSETS; VARIANCE; ALGORITHM; ENTROPY; MOMENTS; UTILITY; NUMBERS; RISK}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {liuyongjun0202@aliyun.com wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}70825005]; Major Project of the National Social Science Foundation of China {[}11ZD156]; GDUPS; Guangdong Province Universities and Colleges {[}x2gsN9120260]; Fundamental Research Funds for the Central Universities {[}X2gsD2117710]}, Funding-Text = {We would like to thank the Editor and the anonymous reviewers for their penetrating remarks and suggestions, which led to an improved version of this paper. This research was supported by the National Natural Science Foundation of China (No. 70825005), Major Project of the National Social Science Foundation of China (No. 11\&ZD156), GDUPS (2010), Project for high-level talents in Guangdong Province Universities and Colleges (x2gsN9120260) and the Fundamental Research Funds for the Central Universities (X2gsD2117710).}, Cited-References = {Alexander GJ, 2004, MANAGE SCI, V50, P1261, DOI 10.1287/mnsc.1040.0201. Ammar E, 2003, CHAOS SOLITON FRACT, V18, P1045, DOI 10.1016/S0960-0779(03)00071-7. {[}Anonymous], 1989, Addison. {[}Anonymous], 1997, GENETIC ALGORITHMS C. Bass S.M., 1977, AUTOMATICA, V13, P47. Best MJ, 2000, MATH METHOD OPER RES, V52, P195, DOI 10.1007/s001860000073. Bilbao-Terol A, 2006, APPL MATH COMPUT, V173, P251, DOI 10.1016/j.amc.2005.04.003. Campbell R, 2001, J BANK FINANC, V25, P1789, DOI 10.1016/S0378-4266(00)00160-6. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. 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Zhang WG, 2010, INSUR MATH ECON, V46, P493, DOI 10.1016/j.insmatheco.2010.01.007. Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhang WG, 2004, APPL MATH COMPUT, V159, P357, DOI 10.1016/j.amc.2003.10.019. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. Zou DX, 2011, EXPERT SYST APPL, V38, P8716, DOI 10.1016/j.eswa.2011.01.079.}, Number-of-Cited-References = {37}, Times-Cited = {57}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {50}, Journal-ISO = {Insur. Math. Econ.}, Doc-Delivery-Number = {275ES}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000328659700022}, DA = {2026-04-14}, } @article{ WOS:000432350800002, Author = {Dubois, D. and Rico, A.}, Title = {New axiomatisations of discrete quantitative and qualitative possibilistic integrals}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2018}, Volume = {343}, Number = {SI}, Pages = {3-19}, Month = {JUL 15}, Abstract = {Necessity (resp. possibility) measures are very simple min-decomposable (resp. max-decomposable) representations of epistemic uncertainty due to incomplete knowledge. They can be used in both quantitative and qualitative settings. In the present work, we revisit Choquet and Sugeno integrals as criteria for decision under uncertainty and propose new axioms when uncertainty is representable in possibility theory. First, a characterization of Choquet integral with respect to a possibility or a necessity measure is proposed. We respectively add an optimism or a pessimism axiom to the axioms of the Choquet integral with respect to a general capacity. This new axiom enforces the maxitivity or the minitivity of the capacity without requiring the same property for the functional. It essentially assumes that the decision-maker preferences only reflect the plausibility ordering between states of nature. The obtained pessimistic (resp. optimistic) criterion is an average maximin (resp. maximax) criterion of Wald across cuts of a possibility distribution on the state space. The additional axiom can be also used in the axiomatic approach to Sugeno integral and generalized forms thereof to justify possibility and necessity measures. The axiomatization of these criteria for decision under uncertainty in the setting of preference relations among acts is also discussed. We show that the new axiom justifying possibilistic Choquet integrals can be expressed in this setting. In the case of Sugeno integral, we correct a characterization proof for an existing set of axioms on acts, and study an alternative set of axioms based on the idea of non-compensation. (C) 2017 Published by Elsevier B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Rico, A (Corresponding Author), Univ Claude Bernard Lyon 1, ERIC, F-69100 Villeurbanne, France. Dubois, D., Univ Paul Sabatier, IRIT, F-31062 Toulouse 9, France. Rico, A., Univ Claude Bernard Lyon 1, ERIC, F-69100 Villeurbanne, France.}, DOI = {10.1016/j.fss.2017.06.007}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Choquet integral; Sugeno integral; Possibility theory}, Keywords-Plus = {DECISION-MAKING; FUZZY-SETS; SUGENO; REPRESENTATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {dubois@irit.fr agnes.rico@univ-lyon1.fr}, Affiliations = {Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Universite Lyon 1}, Funding-Acknowledgement = {CIMI (Centre International de Mathematiques et d'Informatique) {[}ANR-11-LABX-0040, ANR-11-IDEX-0002-02]}, Funding-Text = {This work is partially supported by ANR-11-LABX-0040, CIMI (Centre International de Mathematiques et d'Informatique) within the program ANR-11-IDEX-0002-02, projet Integrales de Sugeno, Interpolation, et Proportions Analogiques.}, Cited-References = {{[}Anonymous], THESIS. {[}Anonymous], IJGS. {[}Anonymous], THESIS. {[}Anonymous], 1974, THESIS. {[}Anonymous], INF SCI. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {45}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GG0EH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000432350800002}, OA = {Green Submitted, Green Accepted}, DA = {2026-04-14}, } @article{ WOS:A1992KG04800002, Author = {SHENOY, BP}, Title = {USING POSSIBILITY THEORY IN EXPERT SYSTEMS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1992}, Volume = {52}, Number = {2}, Pages = {129-142}, Month = {DEC 10}, Abstract = {This paper has two main objectives. The first objective is to give a characterization of a qualitative description of a possibility function. A qualitative description of a possibility function is called a consistent possibilistic state. The qualitative description and its characterization serve as qualitative semantics for possibility functions. These semantics are useful in representing knowledge as possibility functions. The second objective is to describe how Zadeh's theory of possibility fits in the framework of valuation-based systems (VBS). Since VBS serve as a framework for managing uncertainty and imprecision in expert systems, this facilitates the use of possibility theory in expert systems.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {SHENOY, BP (Corresponding Author), UNIV KANSAS, SCH BUSINESS, LAWRENCE, KS 66045 USA.}, DOI = {10.1016/0165-0114(92)90045-6}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {POSSIBILITY THEORY; CONSISTENT POSSIBILISTIC STATE; VALUATION-BASED SYSTEMS; EXPERT SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, ResearcherID-Numbers = {Shenoy, Prakash P/A-7939-2009}, ORCID-Numbers = {Shenoy, Prakash P/0000-0002-8425-896X}, Cited-References = {ARNBORG S, 1987, SIAM J ALGEBRA DISCR, V8, P277, DOI 10.1137/0608024. 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ZHANG L, 1988, 198 U KANS SCH BUS W.}, Number-of-Cited-References = {28}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {KG048}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992KG04800002}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000571933800001, Author = {Sylla, Abdourahim and Coudert, Thierry and Vareilles, Elise and Geneste, Laurent and Aldanondo, Michel}, Title = {Possibilistic Pareto-dominance approach to support technical bid selection under imprecision and uncertainty in engineer-to-order bidding process}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2021}, Volume = {59}, Number = {21}, Pages = {6361-6381}, Month = {NOV 2}, Abstract = {Successful bidding involves defining relevant technical bid solutions that conform to the customers' requirements, then selecting the most interesting one for the commercial offer. However, in Engineer-To-Order (ETO) industrial contexts, this selection process is complicated by issues of imprecision, uncertainty and confidence regarding the values of the decision criteria. To address this complexity, a Multi-Criteria Decision Making (MCDM) support approach is proposed in this study. This approach is based on possibility theory and the Pareto-dominance principle. It involves three main stages. First, a method is proposed to automatically model the values of the decision criteria by possibility distributions. Second, four possibilistic mono-criterion dominance relations are developed to compare two solutions with respect to a single decision criterion. Finally, an interactive method is devised to determine the most interesting technical bid solutions with respect to all the decision criteria. The method is applied to the design of a technical bid solution of a crane. The results show that this approach enables bidders to select the most interesting solution during a bidding process, while taking into account imprecision, uncertainty and their own confidence regarding the values of the decision criteria.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sylla, A (Corresponding Author), Univ Grenoble Alpes, G SCOP, CNRS, F-38000 Grenoble, France. Sylla, Abdourahim, Univ Grenoble Alpes, G SCOP, CNRS, F-38000 Grenoble, France. Coudert, Thierry; Geneste, Laurent, Univ Toulouse, LGP, INP ENI Tarbes, Tarbes, France. Vareilles, Elise, Univ Toulouse, ISAE SUPAERO, Toulouse, France. Aldanondo, Michel, Univ Toulouse, CGI, IMT Mines Albi, Albi, France.}, DOI = {10.1080/00207543.2020.1812754}, EarlyAccessDate = {SEP 2020}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {Bidding process; engineer-to-order; technical bid selection; multi-criteria decision making (MCDM); uncertainty and imprecision; possibilistic pareto-dominance}, Keywords-Plus = {DECISION-MAKING; SUPPLIER SELECTION; MULTIOBJECTIVE OPTIMIZATION; FUZZY; PROMETHEE; DESIGN; SYSTEM; METHODOLOGIES; ALLOCATION; STRATEGY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {abdourahim.sylla@grenoble-inp.fr}, Affiliations = {Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse; Universite de Toulouse; Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO); IMT - Institut Mines-Telecom; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; IMT Mines Albi}, ResearcherID-Numbers = {Aldanondo, Michel/P-5796-2017 }, ORCID-Numbers = {Sylla, Abdourahim/0000-0001-7483-9472 Geneste, Laurent/0000-0003-2547-482X Aldanondo, Michel/0000-0003-3715-3214 Coudert, Thierry/0000-0002-2343-072X Vareilles, Elise/0000-0001-6269-8609}, Cited-References = {Arslan G, 2006, BUILD ENVIRON, V41, P1406, DOI 10.1016/j.buildenv.2005.05.024. 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Wilson KJ, 2016, EUR J OPER RES, V255, P259, DOI 10.1016/j.ejor.2016.05.014. Yadav NK, 2020, SOFT COMPUT, V24, P14611, DOI 10.1007/s00500-020-04809-8. Yan W, 2006, INT J ADV MANUF TECH, V29, P616, DOI 10.1007/s00170-005-2552-x. Zhang Y, 2010, COMPUT IND ENG, V58, P544, DOI 10.1016/j.cie.2009.12.001.}, Number-of-Cited-References = {66}, Times-Cited = {8}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {65}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {WJ8LY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000571933800001}, OA = {Green Submitted, Green Accepted}, DA = {2026-04-14}, } @article{ WOS:A1994NX55400002, Author = {JULIEN, B}, Title = {WATER-QUALITY MANAGEMENT WITH IMPRECISE INFORMATION}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {1994}, Volume = {76}, Number = {1}, Pages = {15-27}, Month = {JUL 6}, Abstract = {The application of fuzzy set and possibility theories for the representation of imprecise information in water quality management problems is investigated. Imprecision is associated with fuzziness which is non-statistical in nature and refers to the absence of sharp boundaries in the information. Imprecise parameters in water quality decision-making can be represented by possibility distributions defining maximum achievable probabilities. The corresponding possibilistic programming problem is viewed as an alternative to the stochastic one where the parameters are modeled as fuzzy variables instead of random variables. The possibilistic problem can be solved through a succession of classical linear programs. The resulting possibility distributions of the objective value provide a possibilistic assessment of the risk based on possibility levels.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {JULIEN, B (Corresponding Author), CTR RECH INFORMAT MONTREAL, 1801 MCGILL COLL AV, OFF 800, MONTREAL H3A 2N4, PQ, CANADA.}, DOI = {10.1016/0377-2217(94)90003-5}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {WATER MANAGEMENT; FUZZY SETS; POSSIBILITY THEORY; LINEAR PROGRAMMING; POSSIBILISTIC PROGRAMMING}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; FUZZY-SETS; SUPPLY SYSTEM; CONNECTIVES; OBJECTIVES; MEMBERSHIP; MODEL; FLP}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Cited-References = {ADAMS BJ, 1988, LECTURE NOTES U TORO. {[}Anonymous], 1984, Guidelines for Drinking Water Quality, V2. 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Zimmermann H.J., 1987, FUZZY SETS DECISION. Zimmermann H.-J., 1985, FUZZY SET THEORY ITS. Zuane J.D., 1990, HDB DRINKING WATER Q.}, Number-of-Cited-References = {61}, Times-Cited = {36}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {NX554}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1994NX55400002}, DA = {2026-04-14}, } @article{ WOS:A1997XV01900005, Author = {Dubois, D and Prade, H}, Title = {The three semantics of fuzzy sets}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1997}, Volume = {90}, Number = {2}, Pages = {141-150}, Month = {SEP 1}, Abstract = {Three main semantics for membership functions seem to exist in the literature: similarity, preference and uncertainty. Each semantics underlies a particular class of applications. Similarity nations are exploited in clustering analysis and fuzzy controllers. Uncertainty is captured by fuzzy sets in the framework of possibility theory. The membership function of a fuzzy set is also sometimes a kind of utility function that represents flexible constraints in decision problems. This paper advocates the claim that progress in operational semantics of membership functions presupposes that these distinct semantics be acknowledged and related to more basic measurement issues in terms of distance, cost and frequency, on which scientific traditions exist. (C) 1997 Elsevier Science B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Dubois, D (Corresponding Author), UNIV TOULOUSE 3, INST RECH INFORMAT TOULOUSE, 118 ROUTE NARBONNE, F-31062 TOULOUSE 4, FRANCE.}, DOI = {10.1016/S0165-0114(97)00080-8}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {similarity; preference; uncertainty}, Keywords-Plus = {PROPOSITIONAL CALCULI; POSSIBILISTIC LOGIC; DECISION-MAKING; SIMILARITY; MEMBERSHIP; UNCERTAINTY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {{[}Anonymous], P 14 INT JOINT C ART. {[}Anonymous], 1993, Readings in Fuzzy Sets for Intelligent Systems. {[}Anonymous], FUZZY INFORM DECISIO. AUBIN JP, 1990, PROBL CONTROL INFORM, V19, P55. BELLMAN R, 1966, J MATH ANAL APPL, V13, P1, DOI 10.1016/0022-247X(66)90071-0. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {59}, Times-Cited = {373}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {XV019}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1997XV01900005}, DA = {2026-04-14}, } @article{ WOS:000242302200025, Author = {Wang, Juite and Shu, Yun-Feng}, Title = {A possibilistic decision model for new product supply chain design}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2007}, Volume = {177}, Number = {2}, Pages = {1044-1061}, Month = {MAR 1}, Abstract = {This paper models supply chain (SC) uncertainties by fuzzy sets and develops a possibilistic SC configuration model for new products with unreliable or unavailable SC statistical data. The supply chain is modeled as a network of stages. Each stage may have one or more options characterized by the cost and lead-time required to fulfill required functions and may hold safety stock to prevent an inventory shortage. The objective is to determine the option and inventory policy for each stage to minimize the total SC cost and maximize the possibility of fulfilling the target service level. A fuzzy SC model is developed to evaluate the performance of the entire SC and a genetic algorithm approach is applied to determine near-optimal solutions. The results obtained show that the proposed approach allows decision makers to perform trade-off analysis among customer service levels, product cost, and inventory investment depending on their risk attitude. It also provides an alternative tool to evaluate and improve SC configuration decisions in an uncertain SC environment. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, JT (Corresponding Author), Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, 250 KuoKuang Rd, Taichung 402, Taiwan. Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, Taichung 402, Taiwan. Chung Shan Inst Sci \& Technol, Aeronaut Syst Res Div, Taichung 40722, Taiwan.}, DOI = {10.1016/j.ejor.2005.12.032}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {supply chain management; fuzzy sets; new product development; genetic algorithms; possibility theory}, Keywords-Plus = {FUZZY; MANAGEMENT; OPTIMIZATION; SELECTION; SYSTEMS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {rdwang@nchu.edu.tw jasonhsu@ms2.tcol.com.tw}, Affiliations = {National Chung Hsing University; Chung-Shan Institute of Science \& Technology}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {ANTONSSON EK, 1995, J MECH DESIGN, V117, P25, DOI 10.1115/1.2836465. Beamon BM, 1998, INT J PROD ECON, V55, P281, DOI 10.1016/S0925-5273(98)00079-6. 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Silver EdwardA., 1985, Decision systems for inventory management and production planning, V2nd. Simchi-Levi D., 2000, Designing and Managing the Supply Chain: Concepts. SYSWERDA G, 1989, PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON GENETIC ALGORITHMS, P2. Thomas DJ, 1996, EUR J OPER RES, V94, P1, DOI 10.1016/0377-2217(96)00098-7. Vidal CJ, 1997, EUR J OPER RES, V98, P1, DOI 10.1016/S0377-2217(97)80080-X. Wang J, 2004, EUR J OPER RES, V152, P180, DOI 10.1016/S0377-2217(02)00701-4. Wang J, 2001, FUZZY SET SYST, V119, P161, DOI 10.1016/S0165-0114(99)00104-9. Wang JT, 2005, FUZZY SET SYST, V150, P107, DOI 10.1016/j.fss.2004.07.005. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {37}, Times-Cited = {79}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {31}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {109IU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000242302200025}, DA = {2026-04-14}, } @article{ WOS:A1993LG93500005, Author = {GUPTA, CP}, Title = {A NOTE ON THE TRANSFORMATION OF POSSIBILISTIC INFORMATION INTO PROBABILISTIC INFORMATION FOR INVESTMENT DECISIONS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1993}, Volume = {56}, Number = {2}, Pages = {175-182}, Month = {JUN 10}, Abstract = {Investment decisions of a firm take place in a highly competitive environment. Any attempt to capture the reality in such decisions often results in fuzzy information behaving like fuzzy restrictions. But, for decision making, probabilistic data may be more effective rather than possibilistic data. Therefore, possibilistic data need to be transformed into probabilistic data and this needs a suitable possibility/probability consistency principle (PPCP). This note provides a PPCP and shows that under certain conditions fuzzy information about cashflows can be approximated by normal probability distribution. Then, the tools of the probability theory can be applied for such decisions.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {GUPTA, CP (Corresponding Author), UNIV DELHI, SHRI RAM COLL COMMERCE, DELHI 110007, INDIA.}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {INVESTMENT DECISIONS; SYMMETRICAL FUZZY NUMBERS; PROBABILITY MEASURE; NORMAL PROBABILITY DISTRIBUTION; POSSIBILITY MEASURE; ENTROPY}, Keywords-Plus = {FUZZY MATHEMATICS; FINANCE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {{[}Anonymous], INFORMATION THEORY A. BUCKLEY JJ, 1987, FUZZY SET SYST, V21, P257, DOI 10.1016/0165-0114(87)90128-X. CALZI ML, 1990, FUZZY SET SYST, V35, P265. CHANAS S, 1988, COMBINING FUZZY IMPR, P331. DELGADO M, 1987, FUZZY SET SYST, V21, P311, DOI 10.1016/0165-0114(87)90132-1. DEVI BB, 1985, INFORM SCIENCES, V35, P43, DOI 10.1016/0020-0255(85)90040-4. DUBOIS D, 1986, EUR J OPER RES, V25, P345, DOI 10.1016/0377-2217(86)90266-3. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. Dubois D., 1982, FUZZY INFORM DECISIO, P167. Levy Haim., 1986, CAPITAL INVESTMENT F, V3rd. POHJOLA VJ, 1990, ENG COST PROD ECON, V18, P215, DOI 10.1016/0167-188X(90)90123-Y. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {12}, Times-Cited = {29}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {LG935}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1993LG93500005}, DA = {2026-04-14}, } @article{ WOS:A1995TC23000006, Author = {LIAU, CJ and LIN, BIP}, Title = {A THEORETICAL INVESTIGATION INTO QUANTITATIVE MODAL LOGIC}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1995}, Volume = {75}, Number = {3}, Pages = {355-363}, Month = {NOV 10}, Abstract = {Quantitative modal logic (QML) is a multi-modal formulation of possibilistic reasoning with the capacity of representing and reasoning about higher order uncertainty. In this paper, some results about QML and possibility theory are investigated. First, the concept of filtration in classical modal logic is introduced into QML and the fundamental filtration theorem is proved. Second, as a corollary, the finite model property of QML is provided. Finally, the theoretical and practical implications of finite model property are discussed.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {LIAU, CJ (Corresponding Author), ACAD SINICA, INST INFORMAT SCI, TAIPEI, TAIWAN. NATL TAIWAN UNIV, DEPT COMP SCI \& INFORMAT ENGN, TAIPEI 10764, TAIWAN.}, DOI = {10.1016/0165-0114(95)00006-7}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {APPROXIMATE REASONING; POSSIBILISTIC LOGIC; QUANTITATIVE MODAL LOGIC; FILTRATION; POSSIBILITY THEORY}, Keywords-Plus = {FUZZY-SETS; APPROXIMATE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {National Taiwan University}, ResearcherID-Numbers = {Lin, Bryan/JJF-9160-2023}, Cited-References = {Chellas B.F., 1980, MODAL LOGIC. DUBOIS D, 1991, FUZZY SET SYST, V40, P143, DOI 10.1016/0165-0114(91)90050-Z. DUBOIS D, 1991, FUZZY SET SYST, V40, P203, DOI 10.1016/0165-0114(91)90051-Q. Dubois D., 1988, NONSTANDARD LOGICS A, P287. Dubois D., 1992, Fuzzy Expert Systems, P125. FARINAS L, 1991, P ECSQAU LECTURE NOT, V548, P58. Fitting M.C., 1983, PROOF METHODS MODAL. Klir G.J., 1988, Fuzzy Sets, Uncertainty and Information. Kripke S.A., 1963, Acta Philosophica Fennica, V16, P83. LIAU CJ, 1993, INT J APPROX REASON, V9, P327, DOI 10.1016/0888-613X(93)90019-A. LIAU CJ, 1992, ECAI 92 - 10TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE : PROCEEDINGS, P43. LIAU CJ, 1994, LECTURE NOTES ARTIFI, V808. LIAU CJ, 1993, METHODOLOGIES INTELL, V689, P316. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {14}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {TC230}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1995TC23000006}, OA = {Bronze}, DA = {2026-04-14}, } @article{ WOS:000372460200006, Author = {Zedini, Asma and Belhadj, Besma}, Title = {Modeling uncertainty in monetary poverty: Apossibility-based approach}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2016}, Volume = {293}, Pages = {113-126}, Month = {JUN 15}, Abstract = {Fuzzy sets theory has successfully accommodated the lack of clear-cut boundaries of poverty and its gradual nature. On the other hand, uncertainties related to lack of knowledge and imprecision in poverty data need also to be accounted for. The accuracy of poverty analysis is highly subject to how well these features are adequately addressed. We argue that possibility theory is an appropriate framework to deal with incomplete knowledge in poverty. Indeed, considering ``the possibility of poverty{''} instead of the ``probability of poverty{''} allows us to achieve a more realistic handling of this phenomenon. Empirical possibility distributions of monetary poverty states are derived based on our previous works and alpha-cut analysis is used to explore their features. Also, collective possibilistic poverty measures for each state are computed along with an aggregate possibilistic poverty ratio. This possibilistic modeling is applied to the analysis of poverty in Tunisia in 2005 and 2010. (C) 2015 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zedini, A (Corresponding Author), Ave Ibn Khaldoun 120, Cite Ettadhamen 2041, Ariana, Tunisia. Zedini, Asma, Univ Tunis, ISGT, Tunis, Tunisia. Belhadj, Besma, Univ Carthage, FSEGN, Tunis, Tunisia.}, DOI = {10.1016/j.fss.2015.11.009}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibility theory; Fuzzy sets theory; Uncertainty modeling; Unidimensional poverty analysis; Alpha-cut analysis}, Keywords-Plus = {CONSUMPTION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {asma.zedini@yahoo.fr besma.kaabi@isg.rnu.tn}, Affiliations = {Universite de Tunis; Universite de Carthage}, ResearcherID-Numbers = {Belhadj, Besma/H-3616-2019}, Cited-References = {Alola A.A., 2013, Int. J. Stat. 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Zedini A, 2015, REV INCOME WEALTH, V61, P465, DOI 10.1111/roiw.12110.}, Number-of-Cited-References = {35}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {DH0GG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000372460200006}, DA = {2026-04-14}, } @article{ WOS:000432349400004, Author = {Farrokh, Mojtaba and Azar, Adel and Jandaghi, Gholamreza and Ahmadi, Ehsan}, Title = {A novel robust fuzzy stochastic programming for closed loop supply chain network design under hybrid uncertainty}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2018}, Volume = {341}, Pages = {69-91}, Month = {JUN 15}, Abstract = {In today's business environments, the high importance of economic benefits and environmental impacts of using scrapped products has caused most companies to move to designing the closed loop supply chain network. This paper considers the closed loop supply chain network design problem under hybrid uncertainty, while there are two sources of uncertainty for most parameters, thus require fortifying of the robustness of the decision. The first source is that some uncertain parameters may be based on the future scenarios which are considered according to the probability of their occurrence. The second source is that the values of these parameters in each scenario are usually imprecise and can be specified by possibilistic distributions. In this case, the best robust decision has some additional properties in terms of mean value and variability of the objective function. We introduced two types of the variability named scenario variability and possibilistic variability. Possibility theory is used to choose a solution in such a problem and a novel robust fuzzy stochastic programming approach is proposed that has significant advantages. The performance of the proposed model is also compared with that of other models in term of the mean cost and variability by simulation. (C) Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Azar, A (Corresponding Author), Tarbiat Modares Univ, Fac Management \& Econ, Dept Ind Management, Tehran, Iran. Farrokh, Mojtaba; Jandaghi, Gholamreza, Univ Tehran, Dept Ind Management, Farabi Campus, Tehran, Iran. Azar, Adel, Tarbiat Modares Univ, Fac Management \& Econ, Dept Ind Management, Tehran, Iran. Ahmadi, Ehsan, Ohio Univ, Russ Coll Engn \& Technol, Dept Ind \& Syst Engn, Athens, OH 45701 USA.}, DOI = {10.1016/j.fss.2017.03.019}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Robust fuzzy stochastic programming; Possibilistic mean absolute deviation; Credibility measure; Closed-loop supply chain network design; hybrid uncertainty}, Keywords-Plus = {OPTIMIZATION MODEL; MANAGEMENT; VARIANCE; DEMAND; CONSTRAINTS; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {azara@modares.ac.ir}, Affiliations = {University of Tehran; Tarbiat Modares University; University System of Ohio; Ohio University}, ResearcherID-Numbers = {Ahmadi, Ehsan/AAV-5542-2021 Jandaghi, Gholamreza/E-9885-2011 azar, adel/ABC-3067-2021 Farrokh, Mojtaba/HHS-6730-2022}, ORCID-Numbers = {Ahmadi, Ehsan/0000-0002-2099-743X }, Cited-References = {Ahmadi E, 2016, COMPUT OPER RES, V73, P56, DOI 10.1016/j.cor.2016.03.009. {[}Anonymous], SUSTAINABLE 2 GENERA. {[}Anonymous], INT J PROD EC. 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Zhang WG, 2009, KNOWL INF SYST, V18, P311, DOI 10.1007/s10115-008-0133-7.}, Number-of-Cited-References = {66}, Times-Cited = {111}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {71}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GG0DU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000432349400004}, DA = {2026-04-14}, } @article{ WOS:000178858300002, Author = {Sgarro, A}, Title = {Possibilistic information theory: a coding theoretic approach}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2002}, Volume = {132}, Number = {1}, Pages = {11-32}, Month = {NOV 16}, Abstract = {We define information measures which pertain to possibility theory and which have a coding-theoretic meaning. We put forward a model for information sources and transmission channels which is possibilistic rather than probabilistic. In the case of source coding without distortion we define a notion of possibilistic entropy, which is connected to the so-called Hartley's measure; we tackle also the case of source coding with distortion. In the case of channel coding we define a notion of possibilistic capacity, which is connected to a combinatorial notion called graph capacity. In the probabilistic case Hartley's measure and graph capacity are relevant quantities only when the allowed decoding error probability is strictly equal to zero, while in the possibilistic case they are relevant quantities for whatever value of the allowed decoding error possibility; as the allowed error possibility becomes larger the possibilistic entropy decreases (one can reliably compress data to smaller sizes), while the possibilistic capacity increases (one can reliably transmit data at a higher rate). We put forward an interpretation of possibilistic coding, which is based on distortion measures. We discuss an application, where possibilities are used to cope with uncertainty as induced by a ``vague{''} linguistic description of the transmission channel. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sgarro, A (Corresponding Author), Univ Trieste, Dept Math Sci, DSM, I-34100 Trieste, Italy. Univ Trieste, Dept Math Sci, DSM, I-34100 Trieste, Italy.}, DOI = {10.1016/S0165-0114(01)00245-7}, Article-Number = {PII S0165-0114(01)00245-7}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {measures of information; possibility theory; possibilistic sources; possibilistic entropy; possibilistic channels; possibilistic capacity; zero-error information theory; graph capacity; distortion measures}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {sgarro@univ.trieste.it}, Affiliations = {University of Trieste}, Cited-References = {BORELLI M, 2000, DISCRETE MATH \& THEO, P27. BOUCHONMEUNIER B, 2000, IPMU 2000 MADR JUL 3, P1561. Cover TM., 2005, ELEMENTS INFORM THEO, DOI {[}10.1002/047174882X.ch14, DOI 10.1002/047174882X.CH14, 10.1002/047174882X]. CSISZAR I, 1981, INFORMATION THEORY. 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Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {23}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {608QN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000178858300002}, DA = {2026-04-14}, } @article{ WOS:000432350800004, Author = {Benferhat, Salem and Kreinovich, Vladik and Levray, Amelie and Tabia, Karim}, Title = {Qualitative conditioning in an interval-based possibilistic setting}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2018}, Volume = {343}, Number = {SI}, Pages = {35-49}, Month = {JUL 15}, Abstract = {Possibility theory and possibilistic logic are well-known uncertainty frameworks particularly suited for representing and reasoning with uncertain, partial and qualitative information. Belief update plays a crucial role when updating beliefs and uncertain pieces of information in the light of new evidence. This paper deals with conditioning uncertain information in a qualitative interval-valued possibilistic setting. The first important contribution concerns a set of three natural postulates for conditioning interval-based possibility distributions. We show that any interval-based conditioning satisfying these three postulates is necessarily based on the set of compatible standard possibility distributions. The second contribution consists in a proposal of efficient procedures to compute the lower and upper endpoints of the conditional interval-based possibility distribution while the third important contribution provides a syntactic counterpart of conditioning interval-based possibility distributions in case where these latter are compactly encoded in the form of possibilistic knowledge bases. (C) 2017 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tabia, K (Corresponding Author), Univ Lille Nord France, F-59000 Lille, France. Tabia, K (Corresponding Author), UArtois, CRIL CNRS UMR 8188, F-62300 Lens, France. Benferhat, Salem; Levray, Amelie; Tabia, Karim, Univ Lille Nord France, F-59000 Lille, France. Benferhat, Salem; Levray, Amelie; Tabia, Karim, UArtois, CRIL CNRS UMR 8188, F-62300 Lens, France. Kreinovich, Vladik, Univ Texas El Paso, Dept Comp Sci, 500 W Univ, El Paso, TX 79968 USA.}, DOI = {10.1016/j.fss.2017.12.007}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Interval-based possibilistic logic; Conditioning; Possibility theory}, Keywords-Plus = {FUZZY-SETS; INFORMATION; INFERENCE; LOGIC}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {benferhat@cril.univ-artois.fr vladik@utep.edu levray@cril.univ-artois.fr tabia@cril.univ-artois.fr}, Affiliations = {Universite de Lille; University of Texas System; University of Texas El Paso}, ResearcherID-Numbers = {Benferhat, Salem/AAM-4101-2021 Kreinovich, Vladik/AEQ-3655-2022}, ORCID-Numbers = {Benferhat, Salem/0000-0002-4853-3637 }, Cited-References = {{[}Anonymous], 2001, Handbook of Defeasible Reasoning and Uncertainty Management System. {[}Anonymous], 1995, P EUFIT. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {37}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GG0EH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000432350800004}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000332808200009, Author = {Bounhas, Myriam and Hamed, Mohammad Ghasemi and Prade, Henri and Serrurier, Mathieu and Mellouli, Khaled}, Title = {Naive possibilistic classifiers for imprecise or uncertain numerical data}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {239}, Number = {SI}, Pages = {137-156}, Month = {MAR 16}, Abstract = {In real-world problems, input data may be pervaded with uncertainty. In this paper, we investigate the behavior of naive possibilistic classifiers, as a counterpart to naive Bayesian ones, for dealing with classification tasks in the presence of uncertainty. For this purpose, we extend possibilistic classifiers, which have been recently adapted to numerical data, in order to cope with uncertainty in data representation. Here the possibility distributions that are used are supposed to encode the family of Gaussian probabilistic distributions that are compatible with the considered dataset. We consider two types of uncertainty: (i) the uncertainty associated with the class in the training set, which is modeled by a possibility distribution over class labels, and (ii) the imprecision pervading attribute values in the testing set represented under the form of intervals for continuous data. Moreover, the approach takes into account the uncertainty about the estimation of the Gaussian distribution parameters due to the limited amount of data available. We first adapt the possibilistic classification model, previously proposed for the certain case, in order to accommodate the uncertainty about class labels. Then, we propose an algorithm based on the extension principle to deal with imprecise attribute values. The experiments reported show the interest of possibilistic classifiers for handling uncertainty in data. In particular, the probability-to-possibility transform-based classifier shows a robust behavior when dealing with imperfect data. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Bounhas, M (Corresponding Author), Emirates Coll Technol, POB 41009, Abu Dhabi, U Arab Emirates. Bounhas, Myriam; Mellouli, Khaled, ISG Tunis, LARODEC Lab, Le Bardo 2000, Tunisia. Bounhas, Myriam, Emirates Coll Technol, Abu Dhabi, U Arab Emirates. Hamed, Mohammad Ghasemi; Prade, Henri; Serrurier, Mathieu, UPS CNRS, IRIT, F-31062 Toulouse 09, France. Hamed, Mohammad Ghasemi, DTI R\&D DGAC, F-31055 Toulouse, France.}, DOI = {10.1016/j.fss.2013.07.012}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Naive possibilistic classifier; Possibility theory; Numerical data; Naive Bayesian classifier; Uncertainty}, Keywords-Plus = {BAYESIAN CLASSIFIERS; CLASSIFICATION; ALGORITHM; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Myriam\_Bounhas@yahoo.fr mohammad.gh@gmail.com prade@irit.fr Serrurier@irit.fr Khaled.Mellouli@topnet.tn}, Affiliations = {Universite de Tunis; Centre National de la Recherche Scientifique (CNRS)}, Cited-References = {{[}Anonymous], P 4 SIAM INT C DAT M. {[}Anonymous], MACH LEARN. {[}Anonymous], INT J COMPUTER SYSTE. {[}Anonymous], COMMUNICATIONS COMPU. {[}Anonymous], P 7 EUR C INT TECHN. {[}Anonymous], UCI REPOSITORY MACHI. {[}Anonymous], 1995, UAI 95 P 11 C UNC AR. {[}Anonymous], 1993, FUZZY LOGIC. 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Pérez A, 2009, INT J APPROX REASON, V50, P341, DOI 10.1016/j.ijar.2008.08.008. Qin B., 2010, Proceedings of the 2010 ACM Symposium on Applied Computing, P1010. Qin B, 2009, PROC INT CONF DATA, P1633, DOI 10.1109/ICDE.2009.164. Sahami M., 1996, KDD-96 Proceedings. Second International Conference on Knowledge Discovery and Data Mining, P335. Shafer G., 1976, A mathematical theory of evidence, V76. Zhang H., 2004, P 17 INT FLAIRS C FL.}, Number-of-Cited-References = {57}, Times-Cited = {31}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AC8TR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000332808200009}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000247410100003, Author = {Guneralp, Burak and Gertner, George and Mendoza, Guillermo and Anderson, Alan}, Title = {Evaluating probabilistic data with a possibilistic criterion in land-restoration decision-making:: Effects on the precision of results}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2007}, Volume = {158}, Number = {14}, Pages = {1546-1560}, Month = {JUL 16}, Abstract = {Many decision-making settings incorporate both possibilistic and probabilistic uncertainty. In this study, entropy is used as a common measure in quantifying both types of uncertainty. This measure facilitates the direct comparison of the ``amounts{''} of the two types of uncertainty in a given situation. The main objective of this study is, however, to illustrate how, in a decision-making setting, incorporating fuzzy membership function to represent possibilistic uncertainty leads to a more realistic assessment of the decision-making problem at hand. A methodology for the evaluation of land condition and for aiding the decision on restoration allocation and a case study is presented. The methodology enables handling both types of uncertainty: probabilistic uncertainty from the spatial simulation data and possibilistic uncertainty due to vagueness in land condition factor. Erosion status is selected as the land condition factor. Restoration allocation decision is based on fuzzy logic to reflect the continuous transition between different land conditions. The analysis is done six times, each time using a membership function with a different degree of fuzziness. Insights gathered from this study would relate to the risks associated with taking a decision in the presence of both types of uncertainty. The comparison of the output of the analysis (i.e. the loss associated with misclassification) from six different trials reveals that the variance in the loss values decreases as more fuzziness is incorporated into the analysis. In other words, there is an inverse relation between the coefficient of variance of the loss values and the fuzziness incorporated into the analysis. A more in-depth analytical investigation is needed to understand if this observation is specific to this case study or a more general phenomenon. (c) 2007 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Güneralp, B (Corresponding Author), Univ Illinois, Dept Nat Resources \& Environm Sci, W503 Turner Hall,1102 S Goodwin Ave, Urbana, IL 61801 USA. Univ Illinois, Dept Nat Resources \& Environm Sci, Urbana, IL 61801 USA. US ACE, CERL, Champaign, IL USA.}, DOI = {10.1016/j.fss.2007.02.021}, ISSN = {0165-0114}, Keywords = {decision analysis; measures of information; land restoration; geography; uncertainty; entropy; vagueness}, Keywords-Plus = {SOIL LOSS EQUATION; FUZZY-SETS; UNCERTAINTY; ENTROPY; FUZZINESS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {guneralp@stanford.edu}, Affiliations = {University of Illinois System; University of Illinois Urbana-Champaign; United States Department of Defense; United States Army; U.S. Army Corps of Engineers; U.S. Army Engineer Research \& Development Center (ERDC); Construction Engineering Research Laboratory (CERL)}, ResearcherID-Numbers = {Guneralp, Burak/Y-3616-2019}, Cited-References = {ANDERSON AB, 1996, LRAM ITAM WORKSH LAC. {[}Anonymous], 1997, PREDICTING SOIL EROS. {[}Anonymous], T GIS. 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Zimmermann H J, 2001, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {27}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {181AW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000247410100003}, DA = {2026-04-14}, } @article{ WOS:000659552700011, Author = {Hu, Lunhu and Kang, Rui and Pan, Xing and Zuo, Dujun}, Title = {Uncertainty Expression and Propagation in the Risk Assessment of Uncertain Random System}, Journal = {IEEE SYSTEMS JOURNAL}, Year = {2021}, Volume = {15}, Number = {2}, Pages = {1604-1615}, Month = {JUN}, Abstract = {Expressions and propagations of uncertainties have been the core topics in the development of risk science in last decades, whose purpose is to provide decision-makers with clear information about the uncertainty of system's risk. Uncertainty theory is an emerging theory that has great advantages in the expression of epistemic uncertainty, compared to the theories such as subjective probability, evidence theory, and possibility theory. A new framework of uncertainty expression is proposed in this article to properly express different uncertainty sources that exist in the system, where the uncertainty theory is used to express epistemic uncertainties and frequentist probability is used to express aleatory uncertainties. A general propagation method is further developed to address the joint calculations of proposed uncertainty expressions, which can be degenerated into pure probabilistic approach and pure uncertainty-based approach. A case study is conducted to show the effectiveness of proposed method, whose results indicate that the application of proposed method will lead to a result which is easier to be understood than results of theories such as evidence theory and possibility theory, and is more robust than results of Bayesian approach.}, Publisher = {IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC}, Address = {445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA}, Type = {Article}, Language = {English}, Affiliation = {Pan, X (Corresponding Author), Beihang Univ, Sch Reliabil \& Syst Engn, Beijing 100191, Peoples R China. Hu, Lunhu; Kang, Rui; Pan, Xing; Zuo, Dujun, Beihang Univ, Sch Reliabil \& Syst Engn, Beijing 100191, Peoples R China.}, DOI = {10.1109/JSYST.2020.2990679}, ISSN = {1932-8184}, EISSN = {1937-9234}, Keywords = {Chance theory; epistemic uncertainty; risk assessment; uncertain random system; uncertainty theory}, Keywords-Plus = {MODEL UNCERTAINTY; PROBABILITY}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science; Telecommunications}, Web-of-Science-Categories = {Computer Science, Information Systems; Engineering, Electrical \& Electronic; Operations Research \& Management Science; Telecommunications}, Author-Email = {hulunhu@buaa.edu.cn kangrui@buaa.edu.cn panxing@buaa.edu.cn 15141076@buaa.edu.cn}, Affiliations = {Beihang University}, ResearcherID-Numbers = {Pan, Xing/S-7613-2018 Zuo, Dujun/ABA-1204-2020 }, ORCID-Numbers = {Pan, Xing/0000-0002-8997-7840 Hu, Lunhu/0000-0003-0956-7348 Kang, Rui/0000-0002-4488-6574}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}61573043, 71571004]; National Key Research and Development Program of China {[}2017YFF0206504]; Special Scientific Research Project for Civil Aircraft of the Ministry of Industry and Information Technology}, Funding-Text = {This work was supported in part by the National Natural Science Foundation of China under Grant 61573043 and Grant 71571004, in part by the National Key Research and Development Program of China under Grant 2017YFF0206504, and in part by the Special Scientific Research Project for Civil Aircraft of the Ministry of Industry and Information Technology.}, Cited-References = {{[}Anonymous], 2018, COR SUBJ RISK AN. {[}Anonymous], 2018, RISK AN FUND PRINC. 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Zeng ZG, 2018, INFORM SCIENCES, V429, P26, DOI 10.1016/j.ins.2017.10.050. Zhang QY, 2018, IEEE T FUZZY SYST, V26, P3605, DOI 10.1109/TFUZZ.2018.2838560. Zhang QY, 2018, SOFT COMPUT, V22, P5867, DOI 10.1007/s00500-018-3337-0. Zhou J, 2014, FUZZY OPTIM DECIS MA, V13, P397, DOI 10.1007/s10700-014-9183-3. Zhu YG, 2010, CYBERNET SYST, V41, P535, DOI 10.1080/01969722.2010.511552. Zio E, 2018, RELIAB ENG SYST SAFE, V177, P176, DOI 10.1016/j.ress.2018.04.020. Zio E, 1996, RELIAB ENG SYST SAFE, V54, P225, DOI 10.1016/S0951-8320(96)00078-6.}, Number-of-Cited-References = {57}, Times-Cited = {19}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {88}, Journal-ISO = {IEEE Syst. J.}, Doc-Delivery-Number = {SP3DJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000659552700011}, DA = {2026-04-14}, } @article{ WOS:000899470600001, Author = {Park, Jaeok and Yun, Doo Hyung}, Title = {Possibilistic beliefs in strategic games}, Journal = {THEORY AND DECISION}, Year = {2023}, Volume = {95}, Number = {2}, Pages = {205-228}, Month = {AUG}, Abstract = {We introduce possibilistic beliefs into strategic games, describing a player's belief about his opponents' strategies as the set of their strategies he regards as possible. We formulate possibilistic strategic games where each player has preferences over his own strategies conditional on his possibilistic belief about his opponents' strategies. We define several solution concepts for possibilistic strategic games such as (strict) equilibria, rationalizable sets, iterated elimination of never-best responses, and iterated elimination of strictly dominated strategies, and we study their properties and relationships. We develop a class of possibilistic strategic games called possibilistic supermodular games to relate supermodular games to possibilistic strategic games. Lastly, we discuss a direction of extending our possibilistic framework to games with incomplete information.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Park, J (Corresponding Author), Yonsei Univ, Sch Econ, Seoul, South Korea. Park, Jaeok, Yonsei Univ, Sch Econ, Seoul, South Korea. Yun, Doo Hyung, Yonsei Univ, Dept Econ, Seoul, South Korea.}, DOI = {10.1007/s11238-022-09919-3}, EarlyAccessDate = {DEC 2022}, ISSN = {0040-5833}, EISSN = {1573-7187}, Keywords = {Possibilistic beliefs; Possibilistic uncertainty; Strategic games; Strategic uncertainty}, Keywords-Plus = {RATIONALIZABILITY; EQUILIBRIUM; DOMINANCE}, Research-Areas = {Business \& Economics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Social Sciences, Mathematical Methods}, Author-Email = {jaeok.park@yonsei.ac.kr heideg91@gmail.com}, Affiliations = {Yonsei University; Yonsei University}, ResearcherID-Numbers = {Park, Jaeok/HJP-8771-2023}, ORCID-Numbers = {Park, Jaeok/0000-0003-2777-6573}, Cited-References = {Aghassi M, 2006, MATH PROGRAM, V107, P231, DOI 10.1007/s10107-005-0686-0. Apt K., 2010, GAMES, V1, P381, DOI {[}10.3390/g1040381, DOI 10.3390/G1040381]. Apt KR, 2007, BE J THEOR ECON, V7. 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Olszewski W, 2021, GAME ECON BEHAV, V126, P453, DOI 10.1016/j.geb.2021.01.011. Osborne M.J., 1994, COURSE GAME THEORY. Schlag K., 2020, COMPROMISE DONT OPTI. Sobel J, 2019, THEOR ECON, V14, P71, DOI 10.3982/TE2904.}, Number-of-Cited-References = {21}, Times-Cited = {0}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Theory Decis.}, Doc-Delivery-Number = {Q6ZL0}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000899470600001}, DA = {2026-04-14}, } @article{ WOS:000395197800013, Author = {Chutia, Rituparna and Datta, D.}, Title = {Probability-credibility health risk assessment under uncertain environment}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2017}, Volume = {31}, Number = {2}, Pages = {449-460}, Month = {FEB}, Abstract = {The ability to describe variables in a health risk model through probability theory enables us to estimate human health risk. These types of risk assessment are interpreted as probabilistic risk assessment (PRA). Generally, PRA requires specific estimate of the parameters of the probability density of the input variables. In all circumstances, such estimates of the parameters may not be available due to the lack of knowledge or information. Such types of variables are treated as uncertain variables. These types of information are often termed uncertainty which are interpreted through fuzzy theory. The ability to describe uncertainty through fuzzy set theory enables us to process both random variable and fuzzy variable in a single framework. The method of processing aleatory and epistemic uncertainties into a same framework is coined as hybrid method. In this paper, we are going to talk about such type of hybrid methodology for human health risk assessment. Risk assessment on human health through different pathways of exposure has been attempted many a times combining Monte Carlo analysis and extension principle of fuzzy set theory. The emergence of credibility theory enables transforming fuzzy variable into credibility distribution function which can be used in those hybrid analyses. Hence, an attempt, for the first time, has been made to combine probability theory and credibility theory to estimate risk in human health exposure. This method of risk assessment in the presence of credibility theory and probability theory is identified as probabilistic-credibility method (PCM). The results obtained are then interpreted through probability theory, unlike the other hybrid methodology where the results are interpreted in terms of possibility theory. The results obtained are then compared with probability-fuzzy risk assessment (PFRA) method. Generally, decision under hybrid methodology is made on the index of optimism. An optimistic decision maker estimates from the -cut at 1, whereas a pessimistic decision maker estimates from the -cut at 0. The PCM is an optimistic approach as the decision is always made at alpha = 1.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Chutia, R (Corresponding Author), Cotton Coll, Dept Math, Gauhati 781001, Assam, India. Chutia, Rituparna, Cotton Coll, Dept Math, Gauhati 781001, Assam, India. Datta, D., Bhabha Atom Res Ctr, Radil Phys \& Advisory Div, Bombay 400845, Maharashtra, India.}, DOI = {10.1007/s00477-016-1335-2}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Risk assessment; Credibility theory; Probability theory; Possibility theory; Aleatory; Epistemic}, Keywords-Plus = {STOCHASTIC MODELING APPROACH; GROUNDWATER CONTAMINATION; ATMOSPHERIC DISPERSION; ADDRESSING UNCERTAINTY; DECISION-MAKING; DRINKING-WATER; MONTE-CARLO; FUZZY-SET; SIMULATION; PROPAGATION}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {rituparnachutia7@gmail.com ddatta@barc.gov.in}, Affiliations = {Bhabha Atomic Research Center (BARC)}, ResearcherID-Numbers = {Chutia, Rituparna/AAT-9982-2020}, ORCID-Numbers = {Datta, Debabrata/0000-0003-0895-8136 Chutia, Rituparna/0000-0002-5323-3698}, Cited-References = {Adomian G., 1980, Applied Stochastic Processes. {[}Anonymous], TECHNICAL REPORT. {[}Anonymous], 1999, THESIS. 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Wu B, 2010, B ENVIRON CONTAM TOX, V84, P46, DOI 10.1007/s00128-009-9900-8. Yang AL, 2010, WATER RESOUR MANAG, V24, P3349, DOI 10.1007/s11269-010-9610-3. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {59}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {18}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {EM3ER}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000395197800013}, DA = {2026-04-14}, } @article{ WOS:000281468100004, Author = {Pishvaee, M. S. and Torabi, S. A.}, Title = {A possibilistic programming approach for closed-loop supply chain network design under uncertainty}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2010}, Volume = {161}, Number = {20}, Pages = {2668-2683}, Month = {OCT 16}, Abstract = {The design of closed-loop supply chain networks has attracted more attention in recent years according to business and environmental factors. The significance of accounting for uncertainty and risk in such networks spurs an interest to develop appropriate decision making tools to cope with uncertain and imprecise parameters in closed-loop supply chain network design problems. This paper proposes a hi-objective possibilistic mixed integer programming model to deal with such issues. The proposed model integrates the network design decisions in both forward and reverse supply chain networks, and also incorporates the strategic network design decisions along with tactical material flow ones to avoid the sub-optimalities led from separated design in both parts. To solve the proposed possibilistic optimization model, an interactive fuzzy solution approach is developed by combining a number of efficient solution approaches from the recent literature. Numerical experiments are conducted to demonstrate the significance and applicability of the developed possibilistic model as well as the usefulness of the proposed solution approach. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Dept Ind Engn, Coll Engn, Tehran, Iran. Pishvaee, M. S.; Torabi, S. A., Univ Tehran, Dept Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1016/j.fss.2010.04.010}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy mathematical programming; Closed-loop supply chain network design; Possibilistic programming; Fuzzy multi-objective optimization}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; FLEXIBLE CONSTRAINTS; FUZZY; MODEL; RANKING; OPTIMIZATION; MRP}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {ms-pishvaee@aut.ac.ir satorabi@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Torabi, S. Ali/E-1078-2018 Pishvaee, Mir Saman/H-3450-2018}, ORCID-Numbers = {Torabi, S. Ali/0000-0002-9764-9679 Pishvaee, Mir Saman/0000-0001-6389-6308}, Funding-Acknowledgement = {University of Tehran {[}8109920/1/06]}, Funding-Text = {This study was supported by the University of Tehran under the research Grant no. 8109920/1/06. The authors are grateful for this financial support. We are also grateful to the anonymous reviewers for their valuable comments and constructive criticism.}, Cited-References = {BELLMAN RE, 1992, FUZZY SETS SYSTEMS, V49, P121. Du F, 2008, COMPUT OPER RES, V35, P2617, DOI 10.1016/j.cor.2006.12.020. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. Dubois D, 2003, EUR J OPER RES, V147, P266, DOI 10.1016/S0377-2217(02)00560-X. DUBOIS D, 2000, HDB FUZZY SETS SERIE, P483. Dullaert W., 2007, European Journal of Transport and Infrastructure Research, V7, P73. El-Sayed M, 2010, COMPUT IND ENG, V58, P423, DOI 10.1016/j.cie.2008.09.040. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {46}, Times-Cited = {409}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {168}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {645NQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000281468100004}, DA = {2026-04-14}, } @article{ WOS:000452427100022, Author = {Peykani, Pejman and Mohammadi, Emran and Pishvaee, Mir Saman and Rostamy-Malkhalifeh, Mohsen and Jabbarzadeh, Armin}, Title = {A NOVEL FUZZY DATA ENVELOPMENT ANALYSIS BASED ON ROBUST POSSIBILISTIC PROGRAMMING: POSSIBILITY, NECESSITY AND CREDIBILITY-BASED APPROACHES}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2018}, Volume = {52}, Number = {4-5}, Pages = {1445-1463}, Month = {OCT-DEC}, Abstract = {Possibilistic programming approach is one of the most popular methods used to cope with epistemic uncertainty in optimization models. In this paper, several robust fuzzy data envelopment analysis (RFDEA) models are proposed by the use of different fuzzy measures including possibility, necessity and credibility measures. Despite the regular fuzzy DEA methods, the proposed models are able to endogenously adjust the confidence level of each constraints and produce both conservative and non-conservative methods based on various fuzzy measures. The developed RFDEA models are then linearized and numerically compared to regular fuzzy DEA models. Illustrative results in all of the FDEA and RFDEA models show that, maximum efficiency is obtained for possibility, credibility and necessity-based models, respectively.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Mohammadi, E (Corresponding Author), Iran Univ Sci \& Technol, Dept Ind Engn, Tehran, Iran. Peykani, Pejman; Mohammadi, Emran; Pishvaee, Mir Saman; Jabbarzadeh, Armin, Iran Univ Sci \& Technol, Dept Ind Engn, Tehran, Iran. Rostamy-Malkhalifeh, Mohsen, Islamic Azad Univ, Sci \& Res Branch, Dept Math, Tehran, Iran.}, DOI = {10.1051/ro/2018019}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Data envelopment analysis; fuzzy DEA; robust fuzzy DEA; robust optimization; uncertainty; possibility measure; necessity measure; credibility measure}, Keywords-Plus = {EXPECTED VALUE; ANALYSIS DEA; MODEL; EFFICIENCY; SCALE}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {e\_mohammadi@iust.ac.ir}, Affiliations = {Iran University Science \& Technology; Islamic Azad University}, ResearcherID-Numbers = {Pishvaee, Mir/H-3450-2018 mohammadi, emran/S-9301-2018 Peykani, Pejman/AAB-4949-2019 Jabbarzadeh, Armin/S-8809-2018}, ORCID-Numbers = {Peykani, Pejman/0000-0001-7486-6796 Jabbarzadeh, Armin/0000-0001-5109-7736}, Cited-References = {Angiz MZ, 2012, EXPERT SYST APPL, V39, P2263, DOI 10.1016/j.eswa.2011.07.118. 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Res.}, Doc-Delivery-Number = {HD3OP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000452427100022}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000461775200004, Author = {Zubyuk, V, A.}, Title = {A new approach to specificity in possibility theory: Decision-making point of view}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2019}, Volume = {364}, Pages = {76-95}, Month = {JUN 1}, Abstract = {The paper investigates the problem of defining a specificity relation in Pyt'ev possibility theory. That branch of possibility theory developed by prof. Yu.P. Pyt'ev in the late 1990s defines possibility as a monotone measure Pi which numerical values except 0 and 1 are meaningless. The following information and its consequent implications are meaningful: Pi(A) = 0 (A is impossible), or Pi(A) > Pi(B) (A is more possible than B), or Pi(A) = Pi(B) (A and B are equally possible). All results obtained with Pyt'ev possibility theory are invariant to any strictly increasing lower semi-continuous transformation of all possibility values with the fixed points: 0 and 1. This fact allows anyone to assign numerical values to possibilities using an individual subjective scale of possibility values. Unlike Zadeh possibility theory based on fuzzy sets, where specificity of possibility distributions is evaluated by means of fuzzy set inclusion and distribution pi(1) is more specific than pi(2) iff pi(1) (.) <= pi(2) (.) pointwise, in Pyt'ev possibility theory such an approach can not be applied if numerical values of pi(1) and pi(2) are assigned through different subjective scales. A thesis we put forward in this paper states that the specificity relation definition has to be consistent with the possibilistic decision-making approaches. The following is intended to be true: the more specific an underlying possibility and a corresponding possibility distribution are, the narrower (more specific) a set of the optimal decisions is (a decision is optimal if it minimizes the possibility of error). A specificity relation satisfying such a requirement is defined and studied. (C) 2018 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zubyuk, AV (Corresponding Author), MV Lomonosov Moscow State Univ, Fac Phys, GSP 1,1-2 Leninskiye Gory, Moscow 119991, Russia. Zubyuk, A., V, MV Lomonosov Moscow State Univ, Fac Phys, GSP 1,1-2 Leninskiye Gory, Moscow 119991, Russia.}, DOI = {10.1016/j.fss.2018.06.017}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibility theory; Specificity relations; Measures of information; Measures of uncertainty; Decision making; Group decision-making}, Keywords-Plus = {PROBABILISTIC SEMANTICS; MATHEMATICAL-THEORY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {zubjuk@physics.msu.ru}, Affiliations = {Lomonosov Moscow State University}, Funding-Acknowledgement = {RFBR {[}17-07-00832, 18-07-00424]}, Funding-Text = {This research was funded by RFBR, projects number 17-07-00832, 18-07-00424.}, Cited-References = {{[}Anonymous], INDEPENDENCE P COMPL. {[}Anonymous], 1974, THESIS. Benferhat S, 1999, J LOGIC COMPUT, V9, P873, DOI 10.1093/logcom/9.6.873. 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Zubyuk AV, 2013, MOSC U PHYS B+, V68, P6, DOI 10.3103/S0027134913010189. Zubyuk AV, 2012, MOSC U PHYS B+, V67, P512, DOI 10.3103/S002713491206015X.}, Number-of-Cited-References = {45}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {HP6EE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000461775200004}, DA = {2026-04-14}, } @article{ WOS:001414383500001, Author = {Hu, Hongbo and Wang, Yisong and Inoue, Katsumi}, Title = {Learning possibilistic dynamic systems from state transitions}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2025}, Volume = {504}, Month = {MAR 15}, Abstract = {Learning from 1-step transitions (LF1T) has become a paradigm to construct a logical hypothesis of a dynamic system, such as a Boolean network, from its synchronized state transitions and background knowledge. While uncertain and incomplete information plays an important role in dynamic systems, LF1T and its successors cannot handle uncertainty modeled by possibility theory. This motivates our combination of inductive logic programming (ILP) and possibilistic normal logic program (poss-NLP) that applies to reasoning about uncertain dynamic systems. In this paper, we propose a learning task to learn a poss-NLP from given interpretation transitions and background knowledge. The sufficient and necessary condition for the existence of its solution is determined. We introduce an algorithm called ILTP to learn a specific solution, which typically encompasses mass redundant rules. Additionally, we propose another algorithm called SP-ILTP to identify global minimal solutions. Alongside theoretical correctness proofs, a synthetic experiment demonstrates the learning performance on six gene regulatory networks with possibilistic uncertainty. This work thus offers a rational framework for learning the dynamics of systems under uncertainty via poss-NLPs.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, YS (Corresponding Author), Guizhou Univ, Dept Comp Sci \& Technol, Guiyang, Peoples R China. Hu, Hongbo; Wang, Yisong, Guizhou Univ, Dept Comp Sci \& Technol, Guiyang, Peoples R China. Hu, Hongbo, Guizhou Univ, State Key Lab Publ Big Data, Guiyang, Peoples R China. Wang, Yisong, Guizhou Univ, Inst Artificial Intelligence, Guiyang, Peoples R China. Inoue, Katsumi, Natl Inst Informat, 2-1-2 Hitotsubashi,Chiyoda Ku, Tokyo 1018430, Japan.}, DOI = {10.1016/j.fss.2024.109259}, EarlyAccessDate = {JAN 2025}, Article-Number = {109259}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Uncertainty; Inductive learning; Possibilistic logic programs; Boolean networks; Gene regulatory network}, Keywords-Plus = {LOGIC; SEMANTICS; COMPLEXITY; NETWORKS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {gs.hbhu19@gzu.edu.cn yswang@gzu.edu.cn inoue@nii.ac.jp}, Affiliations = {Guizhou University; Guizhou University; Guizhou University; Research Organization of Information \& Systems (ROIS); National Institute of Informatics (NII) - Japan}, ResearcherID-Numbers = {Wang, Yisong/AAF-7393-2020 Hu, Hongbo/J-8059-2016}, ORCID-Numbers = {Inoue, Katsumi/0000-0002-2717-9122 }, Funding-Acknowledgement = {National Natural Science Foundation of China {[}61976065, 62376066]; Guizhou Science Support Project {[}2022-259]; JSPS KAKENHI {[}JP21H04905]; JST CREST {[}JPMJCR22D3]; Grants-in-Aid for Scientific Research {[}21H04905] Funding Source: KAKEN}, Funding-Text = {This work is partially supported by the National Natural Science Foundation of China under grants 61976065 and 62376066. Yisong's work was also partially supported by Guizhou Science Support Project (2022-259). Katsumi Inoue has been partially supported by JSPS KAKENHI Grant Number JP21H04905 and JST CREST Grant Number JPMJCR22D3.}, Cited-References = {Akutsu T., 2018, ALGORITHMS ANAL INFE. Baaj I, 2024, INT J APPROX REASON, V171, DOI 10.1016/j.ijar.2024.109206. Bauters K, 2014, INT J APPROX REASON, V55, P739, DOI 10.1016/j.ijar.2013.09.006. Buchman D, 2017, INT J APPROX REASON, V83, P43, DOI 10.1016/j.ijar.2016.10.001. Nieves JC, 2013, THEOR PRACT LOG PROG, V13, P33, DOI 10.1017/S1471068411000408. Chai LE, 2014, COMPUT BIOL MED, V48, P55, DOI 10.1016/j.compbiomed.2014.02.011. Cozman FG, 2020, INT J APPROX REASON, V125, P218, DOI 10.1016/j.ijar.2020.07.004. Cropper A, 2022, MACH LEARN, V111, P147, DOI 10.1007/s10994-021-06089-1. De Raedt Luc, 2008, Probabilistic Inductive Logic Programming. Theory and Applications, P1, DOI 10.1007/978-3-540-78652-8\_1. 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Zang T.A., 2002, Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles.}, Number-of-Cited-References = {67}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {U8Q9P}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001414383500001}, DA = {2026-04-14}, } @article{ WOS:000347103900003, Author = {Li, Yongming and Li, Yali and Ma, Zhanyou}, Title = {Computation tree logic model checking based on possibility measures}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2015}, Volume = {262}, Pages = {44-59}, Month = {MAR 1}, Abstract = {In order to deal with the systematic verification with uncertain information in possibility theory, Li and Li (2013) introduced model checking of linear-time properties in which the uncertainty is modeled by possibility measures. Xue, Lei and Li (2011) defined computation tree logic (CTL) based on possibility measures, which is called possibilistic CTL (PoCTL). This paper is a continuation of the above work. First, we study the expressiveness of PoCTL. Unlike probabilistic CTL, it is shown that PoCTL (in particular, qualitative PoCTL) is more powerful than CTL with respect to their expressiveness. The equivalent expressions of basic CTL formulae using qualitative PoCTL formulae are presented in detail. Some PoCTL formulae that cannot be expressed by any CTL formulae are presented. In particular, some qualitative properties of repeated reachability and persistence are expressed using PoCTL formulae. Next, adapting CTL model-checking algorithm, a method to solve the PoCTL model-checking problem and its time complexity are discussed in detail. Finally, an example is given to illustrate the PoCTL model-checking method. (C) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Li, YM (Corresponding Author), Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China. Li, Yongming; Li, Yali; Ma, Zhanyou, Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China.}, DOI = {10.1016/j.fss.2014.03.009}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Computation tree logic; Possibilistic Kripke structure; Possibility measure; Qualitative property; Quantitative property}, Keywords-Plus = {FUZZY; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {liyongm@snnu.edu.cn}, Affiliations = {Shaanxi Normal University}, ResearcherID-Numbers = {李, 永明/F-8379-2016 li, yongming/F-8379-2016}, ORCID-Numbers = {李, 永明/0000-0001-8038-008X }, Funding-Acknowledgement = {National Science Foundation of China {[}11271237, 61228305]; Higher School Doctoral Subject Foundation of Ministry of Education of China {[}20130202110001]}, Funding-Text = {This work was partially supported by National Science Foundation of China (Grant Nos: 11271237, 61228305) and the Higher School Doctoral Subject Foundation of Ministry of Education of China (Grant No: 20130202110001).}, Cited-References = {{[}Anonymous], FUZZY SETS SYST. {[}Anonymous], INT J STAT PROBAB. {[}Anonymous], 1996, 6 INT C INF PROC MAN. {[}Anonymous], FUZZY AUTOMATA LANGU. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {29}, Times-Cited = {43}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AX7OB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000347103900003}, DA = {2026-04-14}, } @article{ WOS:000407403500009, Author = {Shahparvari, Shahrooz and Abbasi, Babak and Chhetri, Prem}, Title = {Possibilistic scheduling routing for short-notice bushfire emergency evacuation under uncertainties: An Australian case study}, Journal = {OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE}, Year = {2017}, Volume = {72}, Pages = {96-117}, Month = {OCT}, Abstract = {This paper aims to develop a capacitated vehicle routing solution to evacuate short-notice evacuees with time windows and disruption risks under uncertainties during a bushfire. A heuristic solution technique is applied to solve the triangular possibilistic model to optimise emergency delivery service. The effectiveness of the proposed algorithm is evaluated by comparing it with a designed genetic algorithm on sets of 20 numerical examples. The model is then applied to the real case study of 2009 Black Saturday bushfires in Victoria, Australia. The results show that it is possible to transfer the last-minute evacuees during the Black Saturday bushfires under the hard time window constraint. Network disruptions however have impact on resource utilisation. The modelling outputs will be useful in the development of emergency plans and evacuation strategies to enhance rapid response to last-minute evacuation in a bushfire emergency. (C) 2016 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Shahparvari, S (Corresponding Author), RMIT Univ, Sch Business IT \& Logist, Melbourne, Vic 3000, Australia. Shahparvari, Shahrooz; Abbasi, Babak; Chhetri, Prem, RMIT Univ, Sch Business IT \& Logist, Melbourne, Vic 3000, Australia.}, DOI = {10.1016/j.omega.2016.11.007}, ISSN = {0305-0483}, EISSN = {1873-5274}, Keywords = {Possibilistic programming; Fuzzy sets; Uncertainties; Wildfire (bushfire); Optimisation; Vehicle routing problem; Time window; Late evacuation; And disruption risk}, Keywords-Plus = {PROGRAMMING APPROACH; FACILITY LOCATION; TIME; MODEL; OPTIMIZATION; ALGORITHMS; DECISIONS; DELIVERY; SUPPORT; DEMAND}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {shahrooz.shahparvari@rmit.edu.au}, Affiliations = {Royal Melbourne Institute of Technology (RMIT)}, ResearcherID-Numbers = {Abbasi, Babak/K-6506-2012 }, ORCID-Numbers = {Abbasi, Babak/0000-0002-4332-2662 Shahparvari, Shahrooz/0000-0003-4815-3041}, Cited-References = {Abdelgawad H, 2012, J TRANSP ENG, V138, P1215, DOI 10.1061/(ASCE)TE.1943-5436.0000371. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. Zhang C, 2010, IEEE INT C BIOINFORM, P485, DOI 10.1109/BIBM.2010.5706614. Zhang XJ, 2014, PLOS ONE, V9, DOI {[}10.1371/journal.pone.0085007, 10.1186/1748-717X-9-64]. Zhao RQ, 2004, EUR J OPER RES, V157, P716, DOI 10.1016/S0377-2217(03)00272-8. Zheng H, 2014, J ADV TRANSPORT, V48, P734, DOI 10.1002/atr.1224. Zheng YS, 2006, APPL MATH COMPUT, V176, P673, DOI 10.1016/j.amc.2005.10.013. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {90}, Times-Cited = {41}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {79}, Journal-ISO = {Omega-Int. J. Manage. Sci.}, Doc-Delivery-Number = {FD2ZO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000407403500009}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000315259400011, Author = {Yu, J. J. and Qin, X. S. and Larsen, O.}, Title = {Joint Monte Carlo and possibilistic simulation for flood damage assessment}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2013}, Volume = {27}, Number = {3}, Pages = {725-735}, Month = {MAR}, Abstract = {A joint Monte Carlo and fuzzy possibilistic simulation (MC-FPS) approach was proposed for flood risk assessment. Monte Carlo simulation was used to evaluate parameter uncertainties associated with inundation modeling, and fuzzy vertex analysis was applied for promulgating human-induced uncertainty in flood damage estimation. A study case was selected to show how to apply the proposed method. The results indicate that the outputs from MC-FPS would present as fuzzy flood damage estimate and probabilistic-possibilistic damage contour maps. The stochastic uncertainty in the flood inundation model and fuzziness in the depth-damage functions derivation would cause similar levels of influence on the final flood damage estimate. Under the worst scenario (i.e. a combined probabilistic and possibilistic uncertainty), the estimated flood damage could be 2.4 times higher than that computed from conventional deterministic approach; considering only the pure stochastic effect, the flood loss would be 1.4 times higher. It was also indicated that uncertainty in the flood inundation modeling has a major influence on the standard deviation of the simulated damage, and that in the damage-depth function has more notable impact on the mean of the fitted distributions. Through applying MC-FPS, rich information could be derived under various alpha-cut levels and cumulative probabilities, and it forms an important basis for supporting rational decision making for flood risk management under complex uncertainties.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Qin, XS (Corresponding Author), Nanyang Technol Univ, Sch Civil \& Environm Engn, 50 Nanyang Ave, Singapore 639798, Singapore. Yu, J. J.; Qin, X. S., Nanyang Technol Univ, Sch Civil \& Environm Engn, Singapore 639798, Singapore. Yu, J. J.; Larsen, O., DHI Water \& Environm S Pte Ltd, DHI NTU Water \& Environm Res Ctr \& Educ Hub, Singapore 637141, Singapore. Qin, X. S., Nanyang Technol Univ, Earth Observ Singapore EOS, Singapore 639798, Singapore.}, DOI = {10.1007/s00477-012-0635-4}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Monte Carlo; Fuzzy vertex; Flood damage; Flood inundation model; Depth-damage function; Uncertainty}, Keywords-Plus = {SENSITIVITY-ANALYSIS; MODEL; INUNDATION; UNCERTAINTY; RISK; SYSTEM}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {yuji0011@ntu.edu.sg xsqin@ntu.edu.sg ola@dhi.com.sg}, Affiliations = {Nanyang Technological University; Danish Hydraulic Institute (DHI); Nanyang Technological University; Nanyang Technological University}, ResearcherID-Numbers = {Qin, Xiaosheng/A-3803-2011 }, ORCID-Numbers = {Qin, Xiaosheng/0000-0003-3187-7561 Yu, Jianjun/0000-0002-3589-912X}, Funding-Acknowledgement = {Singapore's Ministry of Education (MOM) AcRF Tier 1 Project {[}M4010973.030]; Earth Observatory of Singapore Project {[}M4430004.B50]; DHI Water \& Environment (S) Pte. Ltd.; DHI-NTU Water and Environment Research Centre and Education Hub, Singapore}, Funding-Text = {This research was supported by Singapore's Ministry of Education (MOM) AcRF Tier 1 Project (M4010973.030) and Earth Observatory of Singapore Project (M4430004.B50). The study also received support from DHI Water \& Environment (S) Pte. Ltd. and DHI-NTU Water and Environment Research Centre and Education Hub, Singapore. The authors are deeply grateful to Dr. Paul Bates (University of Bristol) for providing the LISFLOOD-FP model and the relevant test data.}, Cited-References = {Ahmad SS, 2011, J FLOOD RISK MANAG, V4, P53, DOI 10.1111/j.1753-318X.2011.01090.x. Apel H, 2006, NAT HAZARDS, V38, P79, DOI 10.1007/s11069-005-8603-7. Aronica G, 1998, ADV WATER RESOUR, V22, P349, DOI 10.1016/S0309-1708(98)00017-7. Aronica G, 2002, HYDROL PROCESS, V16, P2001, DOI 10.1002/hyp.398. Bates PD, 2004, HYDROL PROCESS, V18, P3347, DOI 10.1002/hyp.1499. 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Saltelli A, 2000, STAT SCI, V15, P377, DOI 10.1214/ss/1009213004. Saltelli A., 2000, SENSITIVITY ANAL. SMITH DI, 1994, WATER SA, V20, P231. Straatsma M., 2010, P 10 INT S STOCH HYD. Tang JCS, 1992, WATER RESOUR MANAG, V6, P47, DOI DOI 10.1007/BF00872187.}, Number-of-Cited-References = {38}, Times-Cited = {49}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {21}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {094JR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000315259400011}, DA = {2026-04-14}, } @article{ WOS:000290014600063, Author = {Georgescu, Irina and Kinnunen, Jani}, Title = {Multidimensional possibilistic risk aversion}, Journal = {MATHEMATICAL AND COMPUTER MODELLING}, Year = {2011}, Volume = {54}, Number = {1-2}, Pages = {689-696}, Month = {JUL}, Abstract = {This paper deals with the analysis of risk aversion of an agent faced with a situation of uncertainty with several risk parameters. These risk parameters are represented by fuzzy numbers and the attitude of the agent to the risk situation by a multidimensional utility function. Risk aversion is measured by the notion of generalized possibilistic risk premium. The main result of the paper is an approximate calculation formula of generalized possibilistic risk premium in terms of the utility function and of possibilistic indicators (mean value and covariance). (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kinnunen, J (Corresponding Author), Abo Akad Univ, Inst Adv Management Syst Res, Joukahaisenkatu 3-5,4th Floor, FIN-20520 Turku, Finland. Kinnunen, Jani, Abo Akad Univ, Inst Adv Management Syst Res, FIN-20520 Turku, Finland. Georgescu, Irina, Acad Econ Studies, Dept Econ Cybernet, Bucharest, Romania.}, DOI = {10.1016/j.mcm.2011.03.011}, ISSN = {0895-7177}, Keywords = {Fuzzy number; Risk premium; Possibility theory; Risk aversion}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {irina.georgescu@csie.ase.ro jani.kinnunen@abo.fi}, Affiliations = {Abo Akademi University; Bucharest University of Economic Studies}, ResearcherID-Numbers = {Georgescu, Irina/K-6435-2015 Kinnunen, Jani/OGQ-3209-2025}, ORCID-Numbers = {Georgescu, Irina/0000-0002-8536-5636 }, Funding-Acknowledgement = {CNCSIS-UEFISCSU {[}PN II-RU 651/2010]}, Funding-Text = {The work of Irina Georgescu was supported by CNCSIS-UEFISCSU project number PN II-RU 651/2010.}, Cited-References = {Wang XR, 2008, PHYS REV LETT, V100, DOI 10.1103/PhysRevLett.100.206803.}, Number-of-Cited-References = {1}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Math. Comput. Model.}, Doc-Delivery-Number = {756MF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000290014600063}, DA = {2026-04-14}, } @article{ WOS:000492567900003, Author = {Keith, Andrew J. and Ahner, Darryl K.}, Title = {A survey of decision making and optimization under uncertainty}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2021}, Volume = {300}, Number = {2, SI}, Pages = {319-353}, Month = {MAY}, Abstract = {Recent advances in decision making have incorporated both risk and ambiguity in decision theory and optimization methods. These methods implement a variety of uncertainty representations from probabilistic and non-probabilistic foundations, including traditional probability theory, sets of probability measures, uncertainty sets, ambiguity sets, possibility theory, evidence theory, fuzzy measures, and imprecise probability. The choice of uncertainty representation impacts the expressiveness and tractability of the decision models. We survey recent approaches for representing uncertainty in both decision making and optimization to clarify the trade-offs among the alternative representations. Robust and distributionally robust optimization are surveyed, with particular attention to standard form ambiguity sets. Applications of uncertainty and decision models are also reviewed, with a focus on recent optimization applications. These applications highlight common practices and potential research gaps. The intersection of behavioral decision making and robust optimization is a promising area for future research and there is also opportunity for further advances in distributionally robust optimization in sequential and multi-agent settings.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Keith, AJ (Corresponding Author), US Air Force, Inst Technol, Dept Operat Sci, 2950 Hobson Way, Wright Patterson AFB, OH 45433 USA. Keith, Andrew J.; Ahner, Darryl K., US Air Force, Inst Technol, Dept Operat Sci, 2950 Hobson Way, Wright Patterson AFB, OH 45433 USA.}, DOI = {10.1007/s10479-019-03431-8}, EarlyAccessDate = {OCT 2019}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Uncertainty; Risk; Ambiguity; Robust optimization; Distributionally robust; Decision theory}, Keywords-Plus = {DISTRIBUTIONALLY ROBUST OPTIMIZATION; EXPECTED UTILITY; PROSPECT-THEORY; THEORETIC FOUNDATIONS; PROGRAMMING APPROACH; POLICY ITERATION; STOCHASTIC GAMES; AMBIGUITY; CHOICE; MODEL}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {andrew.keith.7@us.af.mil}, Affiliations = {United States Department of Defense; United States Air Force; Air Force Institute of Technology (AFIT)}, ResearcherID-Numbers = {Keith, Anew/AAC-9145-2019 }, ORCID-Numbers = {Keith, Anew/0000-0001-8583-7763 Ahner, Darryl/0000-0002-1887-2718}, Cited-References = {Aberdeen D, 2003, Technical report. 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Problem uncertainties are defined by fuzzy numbers and characterized by membership functions. A method for the efficient numerical implementation of the proposed decision support system is presented. The method is basically an algebraic process which can be implemented for general decision making problems. A set of representative samples of the solution behavior can be obtained directly from the formulation. At the same time, information about the global effect of the problem uncertainties on the optimal solution can be evaluated immediately from the analysis. The effectiveness of the method is illustrated by the solution of a programming model that represents the logistics management of the sulfuric acid business in Chile. Numerical results show the usefulness and potential of the proposed possibilistic approach. (C) 2002 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Maturana, S (Corresponding Author), Pontificia Univ Catolica Chile, Castilla 306, Santiago 22, Chile. Pontificia Univ Catolica Chile, Santiago 22, Chile.}, DOI = {10.1016/S0925-5273(02)00109-3}, Article-Number = {PII S0925-5273(02)00109-3}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {decision support systems; possibilistic approach; mathematical programming; uncertainty; logistics}, Keywords-Plus = {OPTIMIZATION; EXTENSION; DESIGN; MODEL}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {smaturan@ing.puc.cl}, Affiliations = {Pontificia Universidad Catolica de Chile}, ResearcherID-Numbers = {Maturana, Sergio/C-3342-2008 Jensen, Hector/H-5219-2013}, ORCID-Numbers = {Maturana, Sergio/0000-0002-9998-7225 }, Cited-References = {ALI Y, 1993, FUZZY MATH PROGRAMMI. {[}Anonymous], 1979, Fuzzy Sets Syst, DOI DOI 10.1016/0165-0114(79)90001-0. Bakir MA, 1998, INT J PROD ECON, V55, P87, DOI 10.1016/S0925-5273(98)00060-7. 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Econ.}, Doc-Delivery-Number = {554WV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000175760900004}, DA = {2026-04-14}, } @article{ WOS:000312149900008, Author = {Flage, Roger and Aven, Terje and Baraldi, Piero and Zio, Enrico}, Title = {An imprecision importance measure for uncertainty representations interpreted as lower and upper probabilities, with special emphasis on possibility theory}, Journal = {PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY}, Year = {2012}, Volume = {226}, Number = {O6, SI}, Pages = {656-665}, Month = {DEC}, Abstract = {Uncertainty importance measures typically reflect the degree to which uncertainty about risk and reliability parameters at the component level influences uncertainty about parameters at the system level. The definition of these measures is typically founded on a Bayesian perspective where subjective probabilities are used to express epistemic uncertainty; hence, they do not reflect the effect of imprecision in probability assignments, as captured by alternative uncertainty representation frameworks such as imprecise probability, possibility theory and evidence theory. In the present article, we define an imprecision importance measure to evaluate the effect of removing imprecision to the extent that a probabilistic representation of uncertainty remains, as well as to the extent that no epistemic uncertainty remains. Possibility theory is highlighted throughout the article as an example of an uncertainty representation reflecting imprecision, and used in particular in two numerical examples that are included for illustration.}, Publisher = {SAGE PUBLICATIONS LTD}, Address = {1 OLIVERS YARD, 55 CITY ROAD, LONDON EC1Y 1SP, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Flage, R (Corresponding Author), Univ Stavanger, N-4036 Stavanger, Norway. Flage, Roger; Aven, Terje, Univ Stavanger, N-4036 Stavanger, Norway. Baraldi, Piero; Zio, Enrico, Politecn Milan, Milan, Italy. Zio, Enrico, Ecole Cent Paris, Chair Syst Sci \& Energet Challenge, European Fdn New Energy Elect France, Paris, France.}, DOI = {10.1177/1748006X12467591}, ISSN = {1748-006X}, EISSN = {1748-0078}, Keywords = {Imprecision; importance measure; epistemic uncertainty}, Keywords-Plus = {RISK-ASSESSMENT; TREE ANALYSIS; PROPAGATION; SYSTEMS; SENSITIVITY; ASSESSMENTS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {roger.flage@uis.no}, Affiliations = {Universitetet i Stavanger; Polytechnic University of Milan; Universite Paris Saclay; Electricite de France (EDF)}, ResearcherID-Numbers = {Baraldi, Piero/C-2085-2011}, ORCID-Numbers = {Zio, Enrico/0000-0002-7108-637X Flage, Roger/0000-0002-2967-9104 }, Funding-Acknowledgement = {Research Council of Norway through the PETROMAKS research program; ``Foundation pour une Culture de Securite' Industrielle'' of Toulouse, France {[}AO2009-04]}, Funding-Text = {The work of T. Aven and R. Flage has been partially funded by The Research Council of Norway through the PETROMAKS research program. The work of E. Zio and P. Baraldi has been partially funded by the ``Foundation pour une Culture de Securite' Industrielle'' of Toulouse, France {[}AO2009-04].}, Cited-References = {{[}Anonymous], 1993, FUZZY LOGIC. APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. Aven T, 2010, RELIAB ENG SYST SAFE, V95, P127, DOI 10.1016/j.ress.2009.09.002. Aven T., 1999, Stochastic Models in Reliability. Baraldi P, 2009, EXPERT SYST APPL, V36, P12461, DOI 10.1016/j.eswa.2009.04.036. Baraldi P, 2008, RISK ANAL, V28, P1309, DOI 10.1111/j.1539-6924.2008.01085.x. Baudrit C, 2006, IEEE T FUZZY SYST, V14, P593, DOI 10.1109/TFUZZ.2006.876720. Berger J.O., 1984, ROBUSTNESS BAYESIAN, P63. Borgonovo E, 2006, RISK ANAL, V26, P1349, DOI 10.1111/j.1539-6924.2006.00806.x. Cheok MC, 1998, RELIAB ENG SYST SAFE, V60, P213, DOI 10.1016/S0951-8320(97)00144-0. 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Risk Reliab.}, Doc-Delivery-Number = {051TI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000312149900008}, DA = {2026-04-14}, } @article{ WOS:000324974000012, Author = {Ripamonti, G. and Lonati, G. and Baraldi, P. and Cadini, F. and Zio, E.}, Title = {Uncertainty propagation in a model for the estimation of the ground level concentration of dioxin/furans emitted from a waste gasification plant}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {2013}, Volume = {120}, Number = {SI}, Pages = {98-105}, Month = {DEC}, Abstract = {In this paper we compare two approaches for uncertainty propagation in a model for Environmental Impact Assessment (EIA). A purely Probabilistic (PMC) and a Hybrid probabilistic-possibilistic Monte Carlo (HMC) method are considered in their application for the estimation of the ground level concentration of dioxin/furans emitted from a waste gasification plant. Under the condition of insufficient information for calibrating the estimation model parameters, HMC is shown to be a valid way for properly propagating parameters uncertainty to the model output, without adopting arbitrary and subjective assumptions on the input probability distribution functions. In this sense, HMC could improve the transparency of the EIA procedures with positive effects on the communicability and credibility of its findings. (C) 2013 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Ripamonti, G (Corresponding Author), Politecn Milan, DICA Environm Sect, Pzza L da Vinci 32, I-20133 Milan, Italy. Ripamonti, G.; Lonati, G., Politecn Milan, DICA Environm Sect, I-20133 Milan, Italy. Baraldi, P.; Cadini, F.; Zio, E., Politecn Milan, Dipartimento Energia, I-20133 Milan, Italy.}, DOI = {10.1016/j.ress.2013.05.012}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords = {Uncertainty propagation; Hybrid probabilistic possibilistic; Monte Carlo; Waste gasification plant; Environmental Impact Assessment}, Keywords-Plus = {HEALTH-RISK ASSESSMENT; MONTE-CARLO; LOCAL-SCALE; INCINERATION; EMISSIONS; EXPOSURE; VICINITY; DIOXINS; IMPACT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {giovanna.ripamonti@mail.polimi.it}, Affiliations = {Polytechnic University of Milan; Polytechnic University of Milan}, ResearcherID-Numbers = {LONATI, GIOVANNI/ADN-4136-2022 Baraldi, Piero/C-2085-2011 Ripamonti, Giacomo/AAC-4076-2020}, ORCID-Numbers = {Zio, Enrico/0000-0002-7108-637X LONATI, GIOVANNI/0000-0002-9872-6314 }, Cited-References = {{[}Anonymous], OFFICIAL J L. {[}Anonymous], 1997, OFFICIAL J L, V73. 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TRAVIS CC, 1991, SCI TOTAL ENVIRON, V104, P97, DOI 10.1016/0048-9697(91)90010-C. U.S. Environmental Protection Agency, 1995, EPA454B95003B. University of California, 2009, EV EM THERM CONV TEC. US EPA, EPA530R05006 OFF SOL. Van den Berg M, 1998, ENVIRON HEALTH PERSP, V106, P775, DOI 10.1289/ehp.98106775. Vehlow J, 2005, DIOXINS WASTE COMBUS, P12. Yamada S, 204 IFE. 2003, OFFICIAL J L, V156.}, Number-of-Cited-References = {37}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {33}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {225PE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000324974000012}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000285861300006, Author = {Kabak, Ozgur and Ulengin, Fusun}, Title = {Possibilistic linear-programming approach for supply chain networking decisions}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2011}, Volume = {209}, Number = {3}, Pages = {253-264}, Month = {MAR 16}, Abstract = {Supply chain networking decisions are very important for the medium- and long-term planning success of manufacturing companies. The inputs to supply chain planning models are subject to environmental and system uncertainties. In this paper, a fuzzy set theory-based model is proposed to deal with those uncertainties. For this purpose, a possibilistic linear programming (PLP) model is used to make strategic resource-planning decisions using fuzzy demand forecasts and fuzzy yield rates as well as other inputs such as costs and capacities. The objective of the proposed PLP is to maximize the total profit of the enterprise. The model is applied to Mercedes-Benz Turk, one of the largest bus-manufacturing companies in the world, and conclusions and suggestions for further research are provided. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kabak, O (Corresponding Author), Istanbul Tech Univ, Fac Management, Dept Ind Engn, TR-80626 Istanbul, Turkey. Kabak, Ozgur, Istanbul Tech Univ, Fac Management, Dept Ind Engn, TR-80626 Istanbul, Turkey. Ulengin, Fusun, Dogus Univ, Fac Engn, Dept Ind Engn, Istanbul, Turkey.}, DOI = {10.1016/j.ejor.2010.09.025}, ISSN = {0377-2217}, Keywords = {Supply chain management; Fuzzy modelling; Possibilistic linear programming; Supply chain strategy; Networking}, Keywords-Plus = {MULTIOBJECTIVE OPTIMIZATION; UNCERTAIN ENVIRONMENT; FUZZY ENVIRONMENT; MODEL; DESIGN; MANAGEMENT; FLEXIBILITY; CONSTRAINTS; VARIABLES; DEMAND}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {kabak@itu.edu.tr fulengin@dogus.edu.tr}, Affiliations = {Istanbul Technical University; Dogus University}, ResearcherID-Numbers = {Ulengin, Fusun/AAD-2476-2019 Kabak, Özgür/B-2817-2014}, ORCID-Numbers = {Ulengin, Fusun/0000-0003-1738-9756 Kabak, Özgür/0000-0002-5542-309X}, Cited-References = {Altiparmak F, 2006, COMPUT IND ENG, V51, P196, DOI 10.1016/j.cie.2006.07.011. 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Wang RC, 2004, COMPUT IND ENG, V46, P17, DOI 10.1016/j.cie.2003.09.009. Wang RC, 2001, EUR J OPER RES, V133, P521, DOI 10.1016/S0377-2217(00)00196-X. Xu JP, 2008, INFORM SCIENCES, V178, P2022, DOI 10.1016/j.ins.2007.11.025. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {43}, Times-Cited = {50}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {44}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {701YO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000285861300006}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000171095300002, Author = {Guo, PJ and Entani, T and Tanaka, H}, Title = {Fusion of multi-dimensional possibilistic information via possibilistic linear programming}, Journal = {JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN}, Year = {2001}, Volume = {44}, Number = {3}, Pages = {220-229}, Month = {SEP}, Abstract = {In this paper, multi-source possibilistic information is represented by a set of possibilistic constraints to characterize decision variables front different information aspects. Possibilistic linear programming is used to integrate multi-source possibilistic information into the upper and the lower possibility distributions of decision vector.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kagawa Univ, Fac Econ, Takamatsu, Kagawa 7608523, Japan. Univ Osaka Prefecture, Sakai, Osaka 591, Japan. Toyohashi Sozo Coll, Toyohashi, Aichi, Japan.}, DOI = {10.15807/jorsj.44.220}, ISSN = {0453-4514}, Keywords-Plus = {FUZZY; AGGREGATION}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Affiliations = {Kagawa University; Osaka Metropolitan University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, ORCID-Numbers = {Guo, Peijun/0000-0001-9841-1673}, Cited-References = {{[}Anonymous], J JAPAN SOC FUZZY TH. {[}Anonymous], 1991, ROUGH SETS. 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TANAKA H, 1999, POSSIBILISTIC DATA A. Yager RR, 1996, INT J APPROX REASON, V15, P93, DOI 10.1016/0888-613X(96)00026-6. YAGER RR, 1997, P 7 IFSA WORLD C, P261. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {21}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {J. Oper. Res. Soc. Jpn.}, Doc-Delivery-Number = {474FH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000171095300002}, OA = {Bronze}, DA = {2026-04-14}, } @article{ WOS:000505588800042, Author = {Fazli-Khalaf, Mohamadreza and Khalilpourazari, Soheyl and Mohammadi, Mohammad}, Title = {Mixed robust possibilistic flexible chance constraint optimization model for emergency blood supply chain network design}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2019}, Volume = {283}, Number = {1-2, SI}, Pages = {1079-1109}, Month = {DEC}, Abstract = {This research proposes a new tri-objective mathematical model for designing blood supply chain network in emergency situations. The mathematical model aims to minimize total supply chain costs and transportation time between facilities while maximizing total testing reliability of the donated blood in the laboratories. The model considers five echelons including blood donor groups, blood collection facilities, laboratories, blood centers and hospitals. Different transportation means with variant speed and capacity are considered in the model to carry the blood between facilities. Since, most of the main parameters of the mathematical model are tainted with uncertainty in real-world applications, two robust possibilistic flexible chance constraint programming (RPFCCP) and possibilistic flexible chance constraint programming models are developed to provide risk-averse and robust solutions to the decision makers. In addition, the application of the proposed multi-objective mathematical model is investigated in a real-world case study using real data on Iran's capital, Tehran, which is considered to be a potential place for a destructive earthquake. Using different realizations, the applicability and efficiency of the models are investigated in the case study. The results indicated that the RPFCCP model is able to handle uncertainty in the parameters of the objective function and constraints more efficiently and is able to provide robust and risk-averse solutions for the problem which are resistant to different scenarios.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Mohammadi, M (Corresponding Author), Kharazmi Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Fazli-Khalaf, Mohamadreza; Khalilpourazari, Soheyl; Mohammadi, Mohammad, Kharazmi Univ, Fac Engn, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1007/s10479-017-2729-3}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Blood supply chain; Supply chain network design; Robust possibilistic flexible; Chance constraint programming; Disaster}, Keywords-Plus = {MULTIOBJECTIVE OPTIMIZATION; PROGRAMMING APPROACH; FUZZY; MANAGEMENT}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {mohamad.fazli@yahoo.com std\_khalilpourazari@khu.ac.ir mohammadi@khu.ac.ir}, Affiliations = {Kharazmi University}, ResearcherID-Numbers = {Mohammadi, Mohammad/HKF-1620-2023 Khalilpourazari, Soheyl/I-3182-2019 }, ORCID-Numbers = {Mohammadi, Mohammad/0000-0002-3655-2742 Khalilpourazari, Soheyl/0000-0002-7453-0712 Fazli-Khalaf, Mohamaeza/0000-0002-1749-6853}, Cited-References = {Afrouzy ZA, 2016, APPL MATH MODEL, V40, P7545, DOI 10.1016/j.apm.2016.03.015. 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Zokaee S, 2017, ANN OPER RES, V257, P15, DOI 10.1007/s10479-014-1756-6.}, Number-of-Cited-References = {53}, Times-Cited = {85}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {56}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {KA1WF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000505588800042}, DA = {2026-04-14}, } @article{ WOS:000310945000018, Author = {Katagiri, Hideki and Uno, Takeshi and Kato, Kosuke and Tsuda, Hiroshi and Tsubaki, Hiroe}, Title = {Random fuzzy multi-objective linear programming: Optimization of possibilistic value at risk (pVaR)}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2013}, Volume = {40}, Number = {2}, Pages = {563-574}, Month = {FEB 1}, Abstract = {This paper considers multiobjective linear programming problems (MOLPP) where random fuzzy variables are contained in objective functions and constraints. A new decision making model optimizing possibilistic value at risk (pVaR) is proposed by incorporating the concept of value at risk (VaR) into possibility theory. It is shown that the original MOLPPs involving random fuzzy variables are transformed into deterministic problems. An interactive algorithm is presented to derive a satisficing solution for a decision maker (DM) from among a set of Pareto optimal solutions. Each Pareto optimal solution that is a candidate of the satisficing solution is exactly obtained by using convex programming techniques. A simple numerical example is provided to show the applicability of the proposed methodology to real-world problems with multiple objectives in uncertain environments. (C) 2012 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Katagiri, H (Corresponding Author), Hiroshima Univ, Fac Engn, 1-4-1 Kagamiyama, Higashihiroshima, Hiroshima 7398527, Japan. Katagiri, Hideki, Hiroshima Univ, Fac Engn, Higashihiroshima, Hiroshima 7398527, Japan. Uno, Takeshi, Univ Tokushima, Inst Socioarts \& Sci, Tokushima 7708502, Japan. Kato, Kosuke, Hiroshima Inst Technol, Fac Appl Informat Sci, Saeki Ku, Hiroshima 7315193, Japan. Tsuda, Hiroshi, Doshisya Univ, Fac Sci \& Engn, Kyotanabe 6100394, Japan. Tsubaki, Hiroe, Inst Stat Math, Dept Data Sci, Tachikawa, Tokyo 1908562, Japan.}, DOI = {10.1016/j.eswa.2012.07.064}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Multiobjective linear programming; Random fuzzy variable; Possibility; Necessity; Possibilistic value at risk (pVaR); Pareto optimal solution; Interactive algorithm}, Keywords-Plus = {MULTIPLE-OBJECTIVE OPTIMIZATION; NECESSITY MEASURES; INTERACTIVE METHOD; MODEL; MAXIMIZATION; SELECTION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {katagiri-h@hiroshima-u.ac.jp uno@ias.tokushima-u.ac.jp k.katoh.me@it-hiroshima.ac.jp htsuda@mail.doshisha.ac.jp tsubaki@ism.ac.jp}, Affiliations = {Hiroshima University; Tokushima University; Hiroshima Institute of Technology; Doshisha University; Research Organization of Information \& Systems (ROIS); Institute of Statistical Mathematics (ISM) - Japan}, ResearcherID-Numbers = {Katagiri, Hideki/D-6211-2011}, Funding-Acknowledgement = {Grants-in-Aid for Scientific Research {[}24510190] Funding Source: KAKEN}, Cited-References = {{[}Anonymous], P 5 CZECH JAP SEM DA. {[}Anonymous], ADV MULTICRITERIA AN. {[}Anonymous], EXPERT SYSTEMS APPL. {[}Anonymous], FUZZY SETS BASED HEU. {[}Anonymous], 2023, Uncertainty Theory. 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Uno T, 2012, INTELL DECIS TECHNOL, V6, P69, DOI 10.3233/IDT-2012-0123. Urli B, 2004, EUR J OPER RES, V155, P361, DOI {[}10.1016/S0377-2217(02)00859-7, 10.1016/S0377-2217(03)00859-7]. Wang XB, 2011, EXPERT SYST APPL, V38, P11715, DOI 10.1016/j.eswa.2011.03.057. WERNERS B, 1987, FUZZY SET SYST, V23, P131, DOI 10.1016/0165-0114(87)90105-9. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. ZIMMERMANN HJ, 1985, INFORM SCIENCES, V36, P29, DOI 10.1016/0020-0255(85)90025-8.}, Number-of-Cited-References = {64}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {44}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {035KI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000310945000018}, DA = {2026-04-14}, } @article{ WOS:000297839400004, Author = {Qin, X. S.}, Title = {Assessing environmental risks through fuzzy parameterized probabilistic analysis}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2012}, Volume = {26}, Number = {1}, Pages = {43-58}, Month = {JAN}, Abstract = {A fuzzy parameterized probabilistic analysis (FPPA) method was developed in this study to assess risks associated with environmental pollution-control problems. FPPA integrated environmental transport modeling, fuzzy transformation, probabilistic risk assessment, fuzzy risk quantification into a general risk assessment framework, and was capable of handling uncertainties expressed as fuzzy-parameterized stochastic distributions. The proposed method was applied to two environmental pollution problems, with one being about the point-source pollution in a river system with uncertain water quality parameters and the other being concerned with groundwater contaminant plume from waste landfill site with poorly known contaminant physical properties. The study results indicated that the complex uncertain features had significant impacts on modeling and risk-assessment outputs; the degree of impacts of modeling parameters were highly dependent on the level of imprecision of these parameters. The results also implied that FPPA was capable of addressing vagueness or imprecision associated with probabilistic risk evaluation, and help generate risk outputs that could be elucidated under different possibilistic levels. The proposed method could be used by environmental managers to evaluate trade-offs involving risks and costs, as well as identify management solutions that sufficiently hedge against dual uncertainties.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Qin, XS (Corresponding Author), Nanyang Technol Univ, Sch Civil \& Environm Engn, 50 Nanyang Ave, Singapore 639798, Singapore. Nanyang Technol Univ, Sch Civil \& Environm Engn, Singapore 639798, Singapore.}, DOI = {10.1007/s00477-010-0454-4}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Environmental risk assessment; Fuzzy transformation; Monte Carlo simulation; Dual uncertainty}, Keywords-Plus = {HYDROGEOLOGICAL DECISION-ANALYSIS; MINIMUM RELATIVE ENTROPY; ADDRESSING UNCERTAINTY; AQUIFER REMEDIATION; MODELING APPROACH; WATER; CONTAMINATION; MANAGEMENT; IMPRECISION; METHODOLOGY}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {xsqin@ntu.edu.sg}, Affiliations = {Nanyang Technological University}, ResearcherID-Numbers = {Qin, Xiaosheng/A-3803-2011}, ORCID-Numbers = {Qin, Xiaosheng/0000-0003-3187-7561}, Funding-Acknowledgement = {Nanyang Technological University (NTU) {[}SUG-M58030007]; DHI-NTU Water and Environment Research Centre}, Funding-Text = {This research was supported by Nanyang Technological University (NTU) start-up grant (SUG-M58030007) and the DHI-NTU Water and Environment Research Centre. 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Risk Assess.}, Doc-Delivery-Number = {858YK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000297839400004}, DA = {2026-04-14}, } @article{ WOS:000171551100010, Author = {Krcmar, E and Stennes, B and van Kooten, GC and Vertinsky, I}, Title = {Carbon sequestration and land management under uncertainty}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2001}, Volume = {135}, Number = {3}, Pages = {616-629}, Month = {DEC 16}, Abstract = {Uncertainty about the role of forestry and land-use change in mitigating global warming is addressed using a possibilistic linear programming model of forest and agricultural land management. The objective is to maximize the cumulative net discounted returns in the two sectors, while meeting specific carbon-uptake goals and maintaining stable flows of timber over the planning horizon. Because of ambiguity related to timber yield and carbon parameters, and vagueness of policy targets (economic returns, timber production and carbon-uptake), ordinal measures of uncertainty are applied. While ordinality entails loss of precision, it makes it possible to solve complex problems. This paper compares land-use policies in the boreal forest zone of Northeastern British Columbia under uncertainty with those from a more typical scenario that applies best-guess parameter values. Including uncertainty explicitly into the possibility analysis changes optimal land-use and forest management, and leads to different levels of projected timber supply, economic performance and carbon sequestration. The amount of carbon dioxide (CO2) removed from the atmosphere and the economic cost of carbon uptake are sensitive to how the decision-maker tackles uncertainty. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Krcmar, E (Corresponding Author), Univ British Columbia, FEPA Res Unit, 2424 Main Hall, Vancouver, BC V6T 1Z4, Canada. Univ British Columbia, FEPA Res Unit, Vancouver, BC V6T 1Z4, Canada. Canadian Forest Serv, Pacific Forestry Ctr, Victoria, BC, Canada.}, DOI = {10.1016/S0377-2217(00)00326-X}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {carbon sequestration; climate change; forestry; fuzzy set theory; land management; possibility theory; uncertainty}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {ekrcmar@interchange.ubc.ca}, Affiliations = {University of British Columbia; Natural Resources Canada; Canadian Forest Service}, ResearcherID-Numbers = {van Kooten, G Cornelis/AAS-4867-2020 }, ORCID-Numbers = {van Kooten, G Cornelis/0000-0003-1780-7065 Vertinsky, Ilan/0000-0002-9492-8007}, Cited-References = {{[}Anonymous], 2000, IPCC Special Report on The Regional Impacts of Climate Change: An Assessment of Vulnerability. BARE BB, 1992, CAN J FOREST RES, V22, P423, DOI 10.1139/x92-055. 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Zadeh L., 1978, FUZZY SET SYST, V1, P1, DOI DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {20}, Times-Cited = {36}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {20}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {481ZV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000171551100010}, DA = {2026-04-14}, } @article{ WOS:000225534200012, Author = {Giang, PH and Shenoy, PP}, Title = {Two axiomatic approaches to decision making using possibility theory}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2005}, Volume = {162}, Number = {2}, Pages = {450-467}, Month = {APR 16}, Abstract = {This paper proposes a utility theory for decision making under uncertainty that is described by possibility theory. We show that our approach is a natural generalization of the two axiomatic systems that correspond to pessimistic and optimistic decision criteria proposed by Dubois et al. The generalization is achieved by removing axioms that are supposed to reflect attitudes toward uncertainty, namely, pessimism and optimism. In their place we adopt an axiom that imposes an order on a class of canonical lotteries that realize either in the best or in the worst prize. We prove an expected utility theorem for the generalized axiomatic system based on the newly introduced concept of binary utility. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Giang, PH (Corresponding Author), Siemens Med Solut, Comp Aided Diag \& Therapy Grp, H32,51 Valley Stream Pkwy, Malvern, PA 19355 USA. Siemens Med Solut, Comp Aided Diag \& Therapy Grp, Malvern, PA 19355 USA. Univ Kansas, Sch Business, Lawrence, KS 66045 USA.}, DOI = {10.1016/j.ejor.2003.05.004}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {decision theory; uncertainty; possibility theory; utility theory}, Keywords-Plus = {UTILITY}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {phan.giang@siemens.com pshenoy@ku.edu}, Affiliations = {Siemens AG; Siemens USA; University of Kansas}, ResearcherID-Numbers = {Shenoy, Prakash P/A-7939-2009}, ORCID-Numbers = {Shenoy, Prakash P/0000-0002-8425-896X}, Cited-References = {{[}Anonymous], EUROPEAN J OPERATION. Brafman RI, 2000, J ACM, V47, P452, DOI 10.1145/337244.337251. Doyle J., 1999, AI Magazine, V20, P55, DOI {[}10.1609/aimag.v20i2.1456, DOI 10.1609/AIMAG.V20I2.1456]. Dubois D, 2000, LECT NOTES ARTIF INT, V1952, P427. Dubois D, 1996, THEOR DECIS, V41, P59, DOI 10.1007/BF00134116. 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That is, a conversion of the measure of support of one theory into that of the other that is independent of the problem domain. In this paper it is shown that any bijective mapping between probability distributions and normalized possibility distributions that is symmetric and expansible cannot preserve the properties of projection, noninteraction, or conditionalization.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {SUDKAMP, T (Corresponding Author), WRIGHT STATE UNIV, DEPT COMP SCI, DAYTON, OH 45435 USA.}, DOI = {10.1016/0165-0114(92)90077-H}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {APPROXIMATE REASONING; PROBABILITY THEORY; POSSIBILITY THEORY; UNCERTAINTY MEASURES}, Keywords-Plus = {INFORMATION; SPECIFICITY; UNCERTAINTY; UNIQUENESS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {BOUCHON B, 1987, FUZZY SET SYST, V23, P33, DOI 10.1016/0165-0114(87)90098-4. 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Shafer G., 1976, A Mathematical Theory of Evidence, DOI DOI 10.1515/9780691214696. SHANNON CE, 1948, BELL SYST TECH J, V27, P623, DOI 10.1002/j.1538-7305.1948.tb00917.x. Smets P., 1990, Uncertainty in Artificial Intelligence, V38, P29. YAGER RR, 1983, INT J GEN SYST, V9, P249, DOI 10.1080/03081078308960825. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zadeh L.A., 1975, FUZZY SETS THEIR APP, DOI DOI 10.1016/B978-0-12-775260-0.50006-2.}, Number-of-Cited-References = {21}, Times-Cited = {39}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {JV516}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992JV51600006}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000532802600003, Author = {Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Cheraghi, Sara}, Title = {Robust and stable flexible blood supply chain network design under motivational initiatives}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2020}, Volume = {70}, Month = {JUN}, Abstract = {To improve the coordination of blood supply and demand, the efficient design of the blood supply chain network (BSCN) is a proper strategy. In this regard, this paper is the first-ever study to strive for a simultaneous investigation on three interdependent challenges of the BSCN: (1) donors motivation, (2) optimizing location and capacity decisions, and (3) controlling the reliability and robustness of the network under combinatorial risk. As in reality, blood donors play a critical role in the BSC; this study undertakes motivational initiatives to encourage blood donors for maintaining sufficient blood supply. Advertisement, education and medical credits are the directions incorporated to construct the motivational function. To observe the efficiency as the most critical factor while evaluating the pool of location alternatives for establishing facilities, an augmented version of data envelopment analysis (DEA) is utilized. In addition, a mixed integer programming model is proposed by which the simultaneous location and capacity decisions are supported. The model is also extended to handle the combinatorial risk of uncertainty as well as disruption. Thus, a novel mixed possibilistic-stochastic flexible robust programming (MPSFRP) is developed. Eventually, the proposed model is implemented in a real case study to assess its practicality and then provide applicable insights for administrators.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Hosseini-Motlagh, Seyyed-Mahdi; Samani, Mohammad Reza Ghatreh; Cheraghi, Sara, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.seps.2019.07.001}, Article-Number = {100725}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Blood supply chain; Motivational initiatives; Data envelopment analysis; Flexible programming; Possibilistic programming; P-robustness}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; PLATELET PRODUCTION; OPTIMIZATION; MANAGEMENT; INVENTORY; EFFICIENT; UNCERTAINTY; DONATION; DEMAND; MODEL}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {motlagh@iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Ghatreh Samani, Mohammad Reza/AAS-3972-2021}, ORCID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X Cheraghi, Sara/0000-0002-1848-6112 Ghatreh Samani, Mohammad Reza/0000-0003-2918-4432}, Cited-References = {Ahn H, 2018, SOCIO-ECON PLAN SCI, V61, P1, DOI 10.1016/j.seps.2017.06.001. 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Sci.}, Doc-Delivery-Number = {LN2VX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000532802600003}, DA = {2026-04-14}, } @article{ WOS:000170019000003, Author = {Denoeux, T and Zouhal, LM}, Title = {Handling possibilistic labels in pattern classification using evidential reasoning}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2001}, Volume = {122}, Number = {3}, Pages = {409-424}, Month = {SEP 16}, Abstract = {A category of learning problems in which the class membership of training patterns is assessed by an expert and encoded in the form of a possibility distribution is considered. Each example i thus consists in a feature vector x ` and a possibilistic label (u(1)(i),..., u(c)(i)), where u(k)(i) denotes the possibility of that example belonging to class k. This problem is tackled in the framework of Evidence Theory. The evidential distance-based classifier previously introduced by one of the authors is extended to handle possibilistic labeling of training data. Two approaches are proposed, based either on the transformation of each possibility distribution into a consonant belief function, or on the use of generalized belief structures with fuzzy focal elements. In each case, a belief function modeling the expert's beliefs concerning the class membership of each new pattern is obtained. This information may then be either interpreted by a human operator to support decision-making, or automatically processed to yield a final class assignment through the computation of pignistic probabilities. Experiments with synthetic and real data demonstrate the ability of both classification schemes to make effective use of possibilistic labels as training information. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Denoeux, T (Corresponding Author), Univ Technol Compiegne, UMR CNRS 6599 Heudiasyc, BP 20529, F-60205 Compiegne, France. Univ Technol Compiegne, UMR CNRS 6599 Heudiasyc, F-60205 Compiegne, France.}, DOI = {10.1016/S0165-0114(00)00086-5}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {evidence theory; belief functions; pattern recognition; fuzzy statistics and data analysis; possibility theory}, Keywords-Plus = {BELIEF; UNCERTAINTY; RULE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {thierry.denoeux@hds.utc.fr}, Affiliations = {Universite de Technologie de Compiegne}, ORCID-Numbers = {Denoeux, Thierry/0000-0002-0660-5436}, Cited-References = {BEZDEK JC, 1986, FUZZY SET SYST, V18, P237, DOI 10.1016/0165-0114(86)90004-7. Bezdek JC., 1992, FUZZY MODELS PATTERN. Denceux T., 1998, TRAIT SIGNAL, V14, P443. DENOEUX T, 1995, IEEE T SYST MAN CYB, V25, P804, DOI 10.1109/21.376493. Denoeux T, 1997, PATTERN RECOGN, V30, P1095, DOI 10.1016/S0031-3203(96)00137-9. 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Zouhal LM, 1998, IEEE T SYST MAN CY C, V28, P263, DOI 10.1109/5326.669565.}, Number-of-Cited-References = {40}, Times-Cited = {100}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {455GK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000170019000003}, DA = {2026-04-14}, } @article{ WOS:001063717900001, Author = {Sarmad, Mahsa Yousefi and Pishvaee, Mir Saman and Jahani, Hamed and Khaksar, Seyed Mohammad Sadegh and Ivanov, Dmitry}, Title = {Integrated planning for a global pharmaceutical supply chain: an ambidexterity perspective}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2025}, Volume = {346}, Number = {2, SI}, Pages = {1717-1766}, Month = {MAR}, Abstract = {Based on the concept of ambidexterity, we develop a multi-objective, multi-product, and multi-period model to integrate planning for research and development (R \& D) and production and distribution (P \& D) in a global pharmaceutical supply chain (PSC) considering delays in the entire supply chain. We also propose robust possibilistic programming (RPP) approach to deal with the epistemic uncertainty of some critical input parameters. Applying the ambidexterity approach that emphasizes optimizing a balanced framework based on the R \& D and P \& D planning, our study reconciles the explorative and exploitative supply chain strategies in the context of global PSCs. The proposed integrated model can manage the inherent delays and uncertainties in the R \& D processes and P \& D systems via a novel, credibility-based, robust possibilistic programming model. We illustrate the application of our model using a real-world case study of one of the largest and most reputable pharmaceutical companies in Iran. The results affirm the credibility and feasibility of the proposed model when juxtaposed with a non-integrated model. Our study suggests the use of ambidexterity approach in resource allocation planning, risk management, and enhancement of performance in sophisticated settings such as global PSCs.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Ivanov, D (Corresponding Author), Berlin Sch Econ \& Law, Global Supply Chain \& Operat Management, Berlin, Germany. Sarmad, Mahsa Yousefi; Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Jahani, Hamed, RMIT Univ, Sch Accounting Informat Syst \& Supply Chain, Melbourne, Australia. Khaksar, Seyed Mohammad Sadegh, La Trobe Univ, La Trobe Business Sch, Melbourne, Australia. Ivanov, Dmitry, Berlin Sch Econ \& Law, Global Supply Chain \& Operat Management, Berlin, Germany.}, DOI = {10.1007/s10479-023-05554-5}, EarlyAccessDate = {AUG 2023}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Pharmaceutical supply chain; Global supply chain; Research and development (R \& D); Production and distribution; Robust possibilistic programming; Ambidexterity}, Keywords-Plus = {PRODUCT DEVELOPMENT; DECISION-MAKING; INVENTORY; OPTIMIZATION; PERFORMANCE; MODEL; MANAGEMENT; COST; EXPLOITATION; UNCERTAINTY}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {m\_yousefi.iust@yahoo.com pishvaee@iust.ac.ir hamed.jahani2@rmit.edu.au S.khaksar@latrobe.edu.au dmitry.ivanov@hwr-berlin.de}, Affiliations = {Iran University Science \& Technology; Royal Melbourne Institute of Technology (RMIT); La Trobe University; Berlin School of Economics \& Law}, ResearcherID-Numbers = {Ivanov, Dmitry/HCH-2541-2022 khaksar, Seyed/F-7418-2019 Pishvaee, Mir/H-3450-2018}, ORCID-Numbers = {Jahani, Hamed/0000-0002-7091-6060 }, Funding-Acknowledgement = {The authors are greatly thankful to the review team whose comments helped us improve the paper immensely.}, Funding-Text = {The authors are greatly thankful to the review team whose comments helped us improve the paper immensely.}, Cited-References = {Abraham J., 2003, REGULATION PHARM IND, DOI {[}10.1057/9780230372597, DOI 10.1057/9780230372597]. 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Zhao H, 2019, EXPERT SYST APPL, V124, P25, DOI 10.1016/j.eswa.2019.01.038. Ziari M, 2022, INT T OPER RES, V29, P2082, DOI 10.1111/itor.13082.}, Number-of-Cited-References = {96}, Times-Cited = {6}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {25}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {0OQ4T}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001063717900001}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000287616100002, Author = {Duboisi, Didier and Prade, Henri}, Title = {ON POSSIBILITY THEORY, FORMAL CONCEPT ANALYSIS AND GRANULATION SURVEY}, Journal = {APPLIED AND COMPUTATIONAL MATHEMATICS}, Year = {2011}, Volume = {10}, Number = {1, SI}, Pages = {10-19}, Abstract = {Two important ideas at the core of Zadeh's seminal contributions to fuzzy logic and approximate reasoning are the notions of granulation and of possibilistic uncertainty. In this short paper, elaborating a bit on the basis of some mathematical analogy, recently made by the authors, between possibility theory and formal concept analysis, we suggest another bridge between the notion of extensional fuzzy set with respect to a similarity relation, and formal concept analysis. Thus, we point out some fruitful interactions between the possibilistic representation of information and two views of granulation emphasizing the idea of clusters of points that can be identified respectively on the basis of their closeness, or of their common labeling in terms of properties.}, Publisher = {BAKU STATE UNIV, INST APPLIED MATHEMATICS}, Address = {Z. Khalilov street, 23, Baku city, AZERBAIJAN}, Type = {Article}, Language = {English}, Affiliation = {Duboisi, D (Corresponding Author), Univ Toulouse, IRIT, Toulouse, France. Duboisi, Didier; Prade, Henri, Univ Toulouse, IRIT, Toulouse, France.}, ISSN = {1683-3511}, EISSN = {1683-6154}, Keywords = {Possibility Theory; Formal Concept Analysis; Similarity Relations; Granulation}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {dubois@irit.fr prade@irit.fr}, Affiliations = {Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse; Universite Toulouse III - Paul Sabatier}, Cited-References = {{[}Anonymous], B SECTION LOGIC POLI. {[}Anonymous], FUZZY SETS IN PRESS. {[}Anonymous], INDISTINGUISHABILTY. {[}Anonymous], 2009, P JOINT 2009 INT. Assaghir Z, 2010, LECT NOTES ARTIF INT, V6379, P70. BELLMAN R, 1966, J MATH ANAL APPL, V13, P1, DOI 10.1016/0022-247X(66)90071-0. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. Bêlohlávek R, 1999, MATH LOGIC QUART, V45, P497, DOI 10.1002/malq.19990450408. 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Math.}, Doc-Delivery-Number = {724ZX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000287616100002}, DA = {2026-04-14}, } @article{ WOS:000226855300014, Author = {Parra, MA and Terol, AB and Gladish, BP and Uría, MVR}, Title = {Solving a multiobjective possibilistic problem through compromise programming}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2005}, Volume = {164}, Number = {3}, Pages = {748-759}, Month = {AUG 1}, Abstract = {Real decision problems usually consider several objectives that have parameters which are often given by the decision maker in an imprecise way. It is possible to handle these kinds of problems through multiple criteria models in terms of possibility theory. Here we propose a method for solving these kinds of models through a fuzzy compromise programming approach. To formulate a fuzzy compromise programming problem from a possibilistic multiobjective linear programming problem the fuzzy ideal solution concept is introduced. This concept is based on soft preference and indifference relationships and on canonical representation of fuzzy numbers by means of their a-cuts. The accuracy between the ideal solution and the objective values is evaluated handling the fuzzy parameters through their expected intervals and a definition of discrepancy between intervals is introduced in our analysis. (C) 2004 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Univ Oviedo, Fac Ciencias Econ \& Empresariales, Dpto Econ Cuantitat, Avda Cristo S-N, Oviedo, Spain. Univ Oviedo, Fac Ciencias Econ \& Empresariales, Dpto Econ Cuantitat, Oviedo, Spain.}, DOI = {10.1016/j.ejor.2003.11.028}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {multiple criteria decision making; multiobjective programming; compromise programming; fuzzy number; possibility distribution; expected interval}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {mariamar@uniovi.es amcliab@uniovi.es bperez@uniovi.es vrodri@uniovi.es}, Affiliations = {University of Oviedo}, ResearcherID-Numbers = {ARENAS-PARRA, MAR/B-7768-2009 Bilbao Terol, Amelia/B-6569-2014 PEREZ-GLADISH, BLANCA/P-6731-2015}, ORCID-Numbers = {ARENAS-PARRA, MAR/0000-0002-7890-9287 Bilbao Terol, Amelia/0000-0002-5634-1010 PEREZ-GLADISH, BLANCA/0000-0002-0348-1538}, Cited-References = {ARENAS M, 1998, APPL DECISION ANAL. ARENAS M, 1998, REV R ACAD CIEN EXAC, V92, P423. Ballestero E., 1998, Multiple Criteria Decision Making and Its Applications to Economic Problems. Blasco F, 1999, J OPTIMIZ THEORY APP, V102, P69, DOI 10.1023/A:1021838311346. BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. BUCKLEY JJ, 1988, FUZZY SET SYST, V26, P135, DOI 10.1016/0165-0114(88)90013-9. DUBOIS D, 1978, INT J SYST SCI, V9, P613, DOI 10.1080/00207727808941724. Dubois D., 1988, POSSIBILITY THEORY. Dubois Didier., 2000, HDB FUZZY SETS SERIE. HEILPERN S, 1992, FUZZY SET SYST, V47, P81, DOI 10.1016/0165-0114(92)90062-9. Jimenez M, 1996, INT J UNCERTAIN FUZZ, V4, P379, DOI 10.1142/S0218488596000226. JIMENEZ M, 2000, MATHWARE SOFT COMPUT, V7, P175. JULIEN B, 1994, FUZZY SET SYST, V64, P195, DOI 10.1016/0165-0114(94)90333-6. LAI YJ, 1992, FUZZY SET SYST, V49, P121, DOI 10.1016/0165-0114(92)90318-X. Parra MA, 1999, EUR J OPER RES, V117, P175, DOI 10.1016/S0377-2217(98)00160-X. Parra MA, 1999, EUR J OPER RES, V119, P338, DOI 10.1016/S0377-2217(99)00135-6. Parra MA, 2001, EUR J OPER RES, V133, P287, DOI 10.1016/S0377-2217(00)00298-8. SAATI MS, 2001, P 1 IND ENG C IR, P1. TANAKA H, 1987, FUZZY SET SYST, V24, P363, DOI 10.1016/0165-0114(87)90033-9. Yu Po-Lung., 1985, MULTIPLE CRITERIA DE, V30 of Mathematical Concepts and Methods in Science and Engineering. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zeleny M., 1973, Multiple criteria decision making.}, Number-of-Cited-References = {22}, Times-Cited = {116}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {895IV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000226855300014}, DA = {2026-04-14}, } @article{ WOS:001069404200001, Author = {Stoklasa, Jan and Luukka, Pasi}, Title = {The a-weighted averaging operator}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {471}, Month = {NOV 15}, Abstract = {This paper introduces a new type of mean applicable in various areas of science and practice: the a-weighted averaging operator (AWA). AWA has all the properties required from a linear averaging operator and some additional ones. We discuss the applications of AWA in data aggregation in various areas including uncertainty modeling (summarization, defuzzification), multiple-criteria and multi-expert decision-making and evaluation. We prove that when applied to fuzzy numbers, the a-weighted average converges to the possibilistic mean of a fuzzy number with the increasing number of elements in its support. As such the a-weighted average is a more general aggregation operator than the original possibilistic mean. When fuzzy subsets of the real line represent the information to be aggregated, AWA provides new means for their defuzzification compatible with the possibilistic moments, but applicable to discrete and subnormal fuzzy sets. We also introduce a generalized formulation of the a-weighted averaging operator (GAWA) that can be applied in multiple-criteria and multi-expert evaluation and decision-making problems. We suggest the use of GAWA in operations research theory and applications in the context of data aggregation, multiple-criteria and group evaluation and decision-making. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Stoklasa, J (Corresponding Author), LUT Univ, Sch Business \& Management, Yliopistonkatu 34, Lappeenranta 53850, Finland. Stoklasa, J (Corresponding Author), Palacky Univ Olomouc, Dept Econ \& Managerial Studies, Krizkovskeho 12, Olomouc 77900, Czech Republic. Stoklasa, Jan; Luukka, Pasi, LUT Univ, Sch Business \& Management, Yliopistonkatu 34, Lappeenranta 53850, Finland. Stoklasa, Jan, Palacky Univ Olomouc, Dept Econ \& Managerial Studies, Krizkovskeho 12, Olomouc 77900, Czech Republic.}, DOI = {10.1016/j.fss.2023.108677}, EarlyAccessDate = {AUG 2023}, Article-Number = {108677}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Aggregation; Uncertainty; alpha-level; Weights; Averaging; Possibilistic mean; Moment}, Keywords-Plus = {DECISION-MAKING; AGGREGATION OPERATORS; UNCERTAINTY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {jan.stoklasa@lut.fi pasi.luukka@lut.fi}, Affiliations = {Lappeenranta-Lahti University of Technology LUT; Palacky University Olomouc}, ResearcherID-Numbers = {Stoklasa, Jan/O-5858-2016 Luukka, Pasi/AAA-5199-2019}, ORCID-Numbers = {Stoklasa, Jan/0000-0002-1810-9181 Luukka, Pasi/0000-0003-0124-6646}, Funding-Acknowledgement = {Finnish Strategic Research Council {[}313396/MFG40-Manufacturing 4.0]}, Funding-Text = {This research would like to acknowledge the funding received from the Finnish Strategic Research Council, grant number 313396/MFG40-Manufacturing 4.0 and from LUT University-AMBI Platform: Analytics-based Manage-ment for Business and Manufacturing Industry.}, Cited-References = {Alexandrini P., Mathematicae Collectiones, P340. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {43}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {S2GM3}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001069404200001}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:001271568000001, Author = {Stoklasa, Jan and Collan, Mikael and Luukka, Pasi}, Title = {Practical possibilistic fuzzy pay-off method for real option valuation}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2024}, Volume = {492}, Month = {SEP 15}, Abstract = {This paper describes a set of proposed additions to the recently introduced possibilistic fuzzy pay-off method for real option valuation that enhances the practical usability of the method. The additions are focused on the practical usability of the method and concentrate on emphasizing the consideration of the downside-risk found in projects. Technically the additions are based on using a novel interpretation of the possibilistic mean as a proxy respectively for the weight of the downside and the upside of a possibility distribution in the context of project profitability. This interpretation of the possibilistic mean is a new theoretical contribution. The proposed new method-variant, called the ``practical possibilistic fuzzy pay-off method for real option valuation{''}, can effectively distinguish between projects with an identical upside and nonidentical downsides and allows for a more finance-theoretically comprehensive consideration of situations, where the circumstances surrounding the downside risk of a project change. Changes in the downside are reflected in the real option value. The proposed changes constitute the first variant of the possibilistic fuzzy pay-off method for real option valuation and they remarkably increase the practical usability of the method.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Stoklasa, J; Collan, M (Corresponding Author), LUT Univ, Business Sch, Yliopistonkatu 34, Lappeenranta 53851, Finland. Stoklasa, J (Corresponding Author), Palacky Univ Olomouc, Dept Econ \& Managerial Studies, Krizkovskeho 12, Olomouc 77900, Czech Republic. Collan, M (Corresponding Author), VATT Inst Econ Res, Arkadiankatu 7, Helsinki 00100, Finland. Stoklasa, Jan; Collan, Mikael, LUT Univ, Business Sch, Yliopistonkatu 34, Lappeenranta 53851, Finland. Stoklasa, Jan, Palacky Univ Olomouc, Dept Econ \& Managerial Studies, Krizkovskeho 12, Olomouc 77900, Czech Republic. Collan, Mikael, VATT Inst Econ Res, Arkadiankatu 7, Helsinki 00100, Finland.}, DOI = {10.1016/j.fss.2024.109072}, EarlyAccessDate = {JUL 2024}, Article-Number = {109072}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Pay-off method; Real option valuation; Possibility theory; Possibilistic mean; Profitability analysis}, Keywords-Plus = {GRAVITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {jan.stoklasa@lut.fi mikael.collan@lut.fi pasi.luukka@lut.fi}, Affiliations = {Lappeenranta-Lahti University of Technology LUT; Palacky University Olomouc; VATT Institute for Economic Research}, ResearcherID-Numbers = {Collan, Mikael/AAF-6840-2020 Stoklasa, Jan/O-5858-2016 Luukka, Pasi/AAA-5199-2019}, ORCID-Numbers = {Stoklasa, Jan/0000-0002-1810-9181 Luukka, Pasi/0000-0003-0124-6646}, Funding-Acknowledgement = {Finnish Strategic Research Council {[}335980, 335990]; LUT University}, Funding-Text = {The authors would like to acknowledge and thank for the support received from the Finnish Strategic Research Council Grant Nos. 335980 and 335990 and for the support from the AMBI platform (Analytics-Based Management for Business and Manufacturing Industry) funded by LUT University.}, Cited-References = {Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {9}, Times-Cited = {2}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {13}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {YW6S7}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001271568000001}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:000317023700005, Author = {Bouzembrak, Y. and Allaoui, H. and Goncalves, G. and Bouchriha, H. and Baklouti, M.}, Title = {A possibilistic linear programming model for supply chain network design under uncertainty}, Journal = {IMA JOURNAL OF MANAGEMENT MATHEMATICS}, Year = {2013}, Volume = {24}, Number = {2, SI}, Pages = {209-229}, Month = {APR}, Abstract = {In this paper, we develop a possibilistic linear programming model for supply chain network design with imprecise inputs: market demands, supplied quantities, transportation costs, opening costs, treatment and storage costs are modelled as fuzzy numbers. An efficient possibilistic linear programme is constructed with fuzzy objective function that minimizes the sum of investment costs and operating costs of the supply chain. A method for solving the programming problem with fuzzy parameters is proposed. Application to a supply chain problem at a European textile company illustrates our methodology. Numerical results show that the performance of the proposed model in handling data uncertainty is better when compared to a classical deterministic model.}, Publisher = {OXFORD UNIV PRESS}, Address = {GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Bouzembrak, Y (Corresponding Author), Univ Lille Nord France, F-59000 Lille, France. Bouzembrak, Y.; Allaoui, H.; Goncalves, G., Univ Lille Nord France, F-59000 Lille, France. Bouzembrak, Y.; Allaoui, H.; Goncalves, G., LGI2A, UArtois, F-62400 Bethune, France. Bouzembrak, Y.; Bouchriha, H.; Baklouti, M., Natl Sch Engineers Tunis, Dept Ind Engn, Tunis 1002, Tunisia.}, DOI = {10.1093/imaman/dps012}, ISSN = {1471-678X}, EISSN = {1471-6798}, Keywords = {supply chain network design; possibilistic linear programming; fuzzy number; uncertainty}, Keywords-Plus = {FUZZY; OPTIMIZATION; SYSTEM}, Research-Areas = {Business \& Economics; Operations Research \& Management Science; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Management; Operations Research \& Management Science; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {yaaamine@yahoo.fr}, Affiliations = {Universite de Lille; Universite de Tunis-El-Manar; Ecole Nationale d'Ingenieurs de Tunis (ENIT)}, ORCID-Numbers = {Goncalves, Gilles/0000-0001-5564-9673 Bouzembrak, Yamine/0000-0001-8028-0847 allaoui, hamid/0000-0001-7844-5796}, Funding-Acknowledgement = {ANR French Research Institute; Nord-Pas-de-Calais region}, Funding-Text = {This work was supported by ANR French Research Institute and Nord-Pas-de-Calais region.}, Cited-References = {Amiri A, 2006, EUR J OPER RES, V171, P567, DOI 10.1016/j.ejor.2004.09.018. Ben-Haim Y., 1990, CONVEX MODELS UNCERT. Buckley JJ, 2000, FUZZY SET SYST, V109, P35, DOI 10.1016/S0165-0114(98)00022-0. Chen CL, 2004, COMPUT CHEM ENG, V28, P1131, DOI 10.1016/j.compchemeng.2003.09.014. CHRISTOPHER M., 2005, LOGISTICS SUPPLY CHA, V3rd. Cordeau JF, 2006, ANN OPER RES, V144, P59, DOI 10.1007/s10479-006-0001-3. Daskin M.S., 2005, LOGISTICS SYSTEMS DE, P39, DOI {[}10.1007/0-387-24977-X\_2, DOI 10.1007/0-387-24977-X\_2, 10.1007/0-387-24977-x\_2]. Di Domenica N, 2009, IMA J MANAG MATH, V20, P1, DOI 10.1093/imaman/dpm027. HEILPERN S, 1992, FUZZY SET SYST, V47, P81, DOI 10.1016/0165-0114(92)90062-9. Jiménez M, 2007, EUR J OPER RES, V177, P1599, DOI 10.1016/j.ejor.2005.10.002. Kabak O, 2011, EUR J OPER RES, V209, P253, DOI 10.1016/j.ejor.2010.09.025. KAUFMANN A., 1992, TECNICAS GESTION EMP, P10. Klibi W, 2010, EUR J OPER RES, V203, P283, DOI 10.1016/j.ejor.2009.06.011. Klose A, 2005, EUR J OPER RES, V162, P4, DOI 10.1016/j.ejor.2003.10.031. 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Vila D, 2007, J IND MANAG OPTIM, V3, P29. Vila D, 2006, INT J PROD ECON, V102, P358, DOI 10.1016/j.ijpe.2005.03.011. Wang HF, 2010, J ENVIRON MANAGE, V91, P2148, DOI 10.1016/j.jenvman.2010.05.009. WANG J., 2007, J ENVIRON MANAGE, V91, P2148. Wang RC, 2005, INT J PROD ECON, V98, P328, DOI 10.1016/j.ijpe.2004.09.011. Yager R. R., 1979, Proceedings of the 1978 IEEE Conference on Decision and Control Including the 17th Symposium on Adaptive Processes, P1435. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H J, 2001, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {36}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {44}, Journal-ISO = {IMA J. Manag. Math.}, Doc-Delivery-Number = {118KF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000317023700005}, DA = {2026-04-14}, } @article{ WOS:000387519100008, Author = {Babazadeh, Reza and Razmi, Jafar and Pishvaee, Mir Saman and Rabbani, Masoud}, Title = {A sustainable second-generation biodiesel supply chain network design problem under risk}, Journal = {OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE}, Year = {2017}, Volume = {66}, Number = {B, SI}, Pages = {258-277}, Month = {JAN}, Abstract = {This paper presents a multi-objective possibilistic programming model to design a second-generation biodiesel supply chain network under risk. The proposed model minimizes the total costs of biodiesel supply chain from feedstock supply centers to customer centers besides minimizing the environmental impact (EI) of all involved processes under a well-to-wheel perspective. Non-edible feedstocks are considered for biodiesel production. Variable cultivation cost of non-edible feedstock is assumed to be non-linear and dependent upon the amount of cultivated area. New formulation of possibilistic programming method is developed which is able to minimize the total mean and risk values of problems with possibilistic-based uncertainty. To solve the proposed multi-objective model, a hybrid solution approach based on flexible lexicographic and augmented e-constraint methods is proposed which is capable to find appropriate efficient solutions from the Pareto-optimal set. The performance of the proposed possibilistic programming method as well as the developed solution approach are evaluated and validated through conducting a real case study in Iran. The outcome of this study demonstrates that high investment cost is required for improving the environmental impact and risk of sustainable biodiesel supply chain network design under risk. Decision maker preferences are required for suitable trade-off among total costs, risk values and environmental impact. (C) 2016 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Razmi, J (Corresponding Author), Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Babazadeh, Reza; Razmi, Jafar; Rabbani, Masoud, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.omega.2015.12.010}, ISSN = {0305-0483}, EISSN = {1873-5274}, Keywords = {Sustainable development; Second-generation biodiesel supply chain; Non-edible feedstock; Possibilistic programming; Multi-objective optimization}, Keywords-Plus = {OPTIMIZATION MODEL; JATROPHA-CURCAS; PROGRAMMING APPROACH; LOGISTICS ISSUES; STRATEGIC DESIGN; COOKING OIL; BIOMASS; IMPLEMENTATION; OPERATIONS; SELECTION}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {jrazmi@ut.ac.ir}, Affiliations = {University of Tehran; Iran University Science \& Technology}, ResearcherID-Numbers = {Rabbani, Masoud/D-3968-2018 Babazadeh, Reza/HDO-4507-2022 Pishvaee, Mir Saman/H-3450-2018 }, ORCID-Numbers = {Babazadeh, Reza/0000-0001-8070-6473 Pishvaee, Mir Saman/0000-0001-6389-6308 Razmi, Jafar/0000-0002-3357-8293}, Funding-Acknowledgement = {Iran National Science Foundation (INSF)}, Funding-Text = {The authors would like to acknowledge the Iran National Science Foundation (INSF) for the financial support of this study. 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Sci.}, Doc-Delivery-Number = {EB6TS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000387519100008}, DA = {2026-04-14}, } @article{ WOS:000293107900005, Author = {Helton, Jon C. and Johnson, Jay D.}, Title = {Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {2011}, Volume = {96}, Number = {9, SI}, Pages = {1034-1052}, Month = {SEP}, Abstract = {In 2001, the National Nuclear Security Administration of the U.S. Department of Energy in conjunction with the national security laboratories (i.e., Los Alamos National Laboratory, Lawrence Livermore National Laboratory and Sandia National Laboratories) initiated development of a process designated Quantification of Margins and Uncertainties (QMU) for the use of risk assessment methodologies in the certification of the reliability and safety of the nation's nuclear weapons stockpile. A previous presentation, ``Quantification of Margins and Uncertainties: Conceptual and Computational Basis,{''} describes the basic ideas that underlie QMU and illustrates these ideas with two notional examples that employ probability for the representation of aleatory and epistemic uncertainty. The current presentation introduces and illustrates the use of interval analysis, possibility theory and evidence theory as alternatives to the use of probability theory for the representation of epistemic uncertainty in QMU-type analyses. The following topics are considered: the mathematical structure of alternative representations of uncertainty, alternative representations of epistemic uncertainty in QMU analyses involving only epistemic uncertainty, and alternative representations of epistemic uncertainty in QMU analyses involving a separation of aleatory and epistemic uncertainty. Analyses involving interval analysis, possibility theory and evidence theory are illustrated with the same two notional examples used in the presentation indicated above to illustrate the use of probability to represent aleatory and epistemic uncertainty in QMU analyses. (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Helton, JC (Corresponding Author), Sandia Natl Labs, Dept 1544, MS 0748, Albuquerque, NM 87185 USA. Helton, Jon C., Arizona State Univ, Dept Math \& Stat, Tempe, AZ 85287 USA. Johnson, Jay D., ProStat, Mesa, AZ 85204 USA.}, DOI = {10.1016/j.ress.2011.02.013}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords = {Aleatory uncertainty; Epistemic uncertainty; Evidence theory; Interval analysis; Possibility theory; Probability theory; Quantification of margins and uncertainties; Uncertainty analysis}, Keywords-Plus = {PERFORMANCE ASSESSMENTS; SENSITIVITY-ANALYSIS; BELIEF FUNCTIONS; RISK ANALYSIS; PROBABILITY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {jchelto@sandia.gov}, Affiliations = {Arizona State University; Arizona State University-Tempe}, Funding-Acknowledgement = {U.S. Department of Energy's National Nuclear Security Administration {[}DE-AC04-94AL85000]}, Funding-Text = {Work performed at Sandia National Laboratories (SNL), which is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the U.S. Department of Energy's National Nuclear Security Administration under Contract No. DE-AC04-94AL85000. The United States Government retains and the publisher, by accepting this article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this article, or allow others to do so, for United States Government purposes. Review provided by LP. Swiler and T.G. Trucano at SNL and by K. Sentz at Los Alamos National Laboratory. Editorial support provided by F. Puffer and J. Ripple of Tech Reps, a division of Ktech Corporation. This presentation is an independent product of the authors and does not necessarily reflect views held by either SNL or the U.S. Department of Energy.}, Cited-References = {{[}Anonymous], EV QUANT MARG UNC AS. {[}Anonymous], 1994, SCI JUDGM RISK ASS, DOI DOI 10.17226/2125. APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. Ash R., 2000, Probability and Measure Theory, V2nd. Bardossy Gyorgi., 2004, EVALUATION UNCERTAIN. 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Winkler RL, 1996, RELIAB ENG SYST SAFE, V54, P127, DOI 10.1016/S0951-8320(96)00070-1. WU JS, 1990, RELIAB ENG SYST SAFE, V30, P163, DOI 10.1016/0951-8320(90)90093-3. Zadeh L., 1978, FUZZY SET SYST, V1, P1, DOI DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {82}, Times-Cited = {72}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {65}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {797ES}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000293107900005}, DA = {2026-04-14}, } @article{ WOS:000297588000003, Author = {Benferhat, Salem and Tabia, Karim and Sedki, Karima}, Title = {Jeffrey's rule of conditioning in a possibilistic framework}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2011}, Volume = {61}, Number = {3}, Pages = {185-202}, Month = {MAR}, Abstract = {Conditioning, belief update and revision are important tasks for designing intelligent systems. Possibility theory is among the powerful uncertainty theories particularly suitable for representing and reasoning with uncertain and incomplete information. This paper addresses an important issue related to the possibilistic counterparts of Jeffrey's rule of conditioning. More precisely, it addresses the existence and uniqueness of the solutions computed using the possibilistic counterparts of the so-called kinematics properties underlying Jeffrey's rule of conditioning. We first point out that like the probabilistic framework, in the quantitative possibilistic setting, there exists a unique solution for revising a possibility distribution given the uncertainty bearing on a set of exhaustive and mutually exclusive events. However, in the qualitative possibilistic framework, the situation is different. In particular, the application of Jeffrey's rule of conditioning does not guarantee the existence of a solution. We provide precise conditions where the uniqueness of the revised possibility distribution exists.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tabia, K (Corresponding Author), CNRS, UArtois, UMR8188, F-62300 Lens, France. Benferhat, Salem; Tabia, Karim; Sedki, Karima, Univ Lille Nord France, F-59000 Lille, France. Benferhat, Salem; Tabia, Karim, CNRS, UArtois, UMR8188, F-62300 Lens, France. Sedki, Karima, LAMIH FRE CNRS 3304, UVHC, F-59313 Valenciennes, France.}, DOI = {10.1007/s10472-011-9262-x}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords = {Jeffrey's rule of conditioning; Belief revision; Possibility theory}, Keywords-Plus = {BELIEF REVISION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {benferhat@cril.univ-artois.fr tabia@cril.univ-artois.fr karima.sedki@univ-valenciennes.fr}, Affiliations = {Universite de Lille; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences \& Technologies (INS2I); Centre National de la Recherche Scientifique (CNRS); Universite Polytechnique Hauts-de-France}, ResearcherID-Numbers = {Benferhat, Salem/AAM-4101-2021}, ORCID-Numbers = {Benferhat, Salem/0000-0002-4853-3637}, Funding-Acknowledgement = {ANR}, Funding-Text = {This work is supported by the (ANR) SETIN 2006 PLACID project (Probabilistic graphical models and Logics for Alarm Correlation in Intrusion Detection http://placid.insa-rouen.fr/).}, Cited-References = {{[}Anonymous], P INT SCH SYNTH EXP. 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Intell.}, Doc-Delivery-Number = {855TO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Arts & Humanities Citation Index (A&HCI)}, Unique-ID = {WOS:000297588000003}, DA = {2026-04-14}, } @article{ WOS:000556584200002, Author = {Menni, Assia and Chaabane, Djamal}, Title = {A possibilistic optimization over an integer efficient set within a fuzzy environment}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2020}, Volume = {54}, Number = {5}, Pages = {1437-1452}, Month = {JUL 23}, Abstract = {Optimizing a linear function over the efficient set of a Multiple Objective Integer Linear Programming (MOILP) problem is known as a difficult problem to deal with, since a discrete efficient set is generally not convex and not explicitly known. Such problem becomes more and more difficult when parameters are defined with uncertainty. In this work, we deal with problems of this type for which parameters are imprecise and are assumed to be trapezoidal fuzzy numbers. The method is based on possibility and necessity measures introduced in the literature by D. Dubois and H. Prade.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Menni, A (Corresponding Author), USTHB, Dept Operat Res, Fac Math, AMCD RO Lab, Bp 32 El Alia, Algiers 16121, Algeria. Menni, Assia; Chaabane, Djamal, USTHB, Dept Operat Res, Fac Math, AMCD RO Lab, Bp 32 El Alia, Algiers 16121, Algeria.}, DOI = {10.1051/ro/2019077}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Multiple objective programming; discrete optimization; Fuzzy parameters; possibility measure; necessity measure}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; ALGORITHM}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {assia.menni@gmail.com}, Affiliations = {University Science \& Technology Houari Boumediene}, Cited-References = {Abbas M, 2006, EUR J OPER RES, V174, P1140, DOI 10.1016/j.ejor.2005.02.072. {[}Anonymous], 1993, APPL INFORM TECHNOLO. {[}Anonymous], 1980, FUZZY SETS SYSTEMS T. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. BENSON HP, 1978, J OPTIMIZ THEORY APP, V26, P569, DOI 10.1007/BF00933152. BENSON HP, 1994, J OPTIMIZ THEORY APP, V80, P3, DOI 10.1007/BF02196590. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {32}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {MV8EO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000556584200002}, DA = {2026-04-14}, } @article{ WOS:000691786300007, Author = {Kasperski, Adam and Zielinski, Pawel}, Title = {Soft robust solutions to possibilistic optimization problems}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2021}, Volume = {422}, Number = {SI}, Pages = {130-148}, Month = {OCT 15}, Abstract = {This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy inter-vals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the uncertain parameters. It is shown how the known concepts of robustness and light robustness, for the traditional interval uncertainty repre-sentation of the parameters, can be generalized to choose solutions that optimize against plausible parameter realizations under the assumed model of uncertainty in the possibilistic setting. Furthermore, these solutions can be computed efficiently for a wide class of problems, in particular for linear programming problems with fuzzy parameters in constraints and objective function. Thus the problems under consideration are not much computationally harder than their deterministic counterparts. In this paper a theoretical framework is presented and results of some computational tests are shown. (c) 2020 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kasperski, A (Corresponding Author), Wroclaw Univ Sci \& Technol, Wroclaw, Poland. Kasperski, Adam; Zielinski, Pawel, Wroclaw Univ Sci \& Technol, Wroclaw, Poland.}, DOI = {10.1016/j.fss.2020.12.016}, EarlyAccessDate = {AUG 2021}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy optimization; Possibility theory; Robust optimization; Fuzzy intervals}, Keywords-Plus = {FUZZY; CONSTRAINTS; RANKING; DUALITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {adam.kasperski@pwr.edu.pl pawel.zielinski@pwr.edu.pl}, Affiliations = {Wroclaw University of Science \& Technology}, ResearcherID-Numbers = {Zielinski, Pawel/H-2463-2011 Kasperski, Adam/A-1013-2008}, ORCID-Numbers = {Zielinski, Pawel/0000-0002-1466-2887 }, Funding-Acknowledgement = {National Science Centre, Poland {[}2017/25/B/ST6/00486]}, Funding-Text = {This work was supported by the National Science Centre, Poland, grant 2017/25/B/ST6/00486.}, Cited-References = {Ben-Tal A, 1999, OPER RES LETT, V25, P1, DOI 10.1016/S0167-6377(99)00016-4. 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Vlach M., 2002, GEN CONCAVITY FUZZY.}, Number-of-Cited-References = {39}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {UK2DU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000691786300007}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000658124600001, Author = {Pouraliakbari-Mamaghani, Mahsa and Ghodratnama, Ali and Pasandideh, Seyed Hamid Reza and Saif, Ahmed}, Title = {A robust possibilistic programming approach for blood supply chain network design in disaster relief considering congestion}, Journal = {OPERATIONAL RESEARCH}, Year = {2022}, Volume = {22}, Number = {3}, Pages = {1987-2032}, Month = {JUL}, Abstract = {We propose a fuzzy-robust multi-objective optimization model for blood supply chain network design in disaster relief. The problem aims to minimize (1) the expected total cost of the system, (2) the implicit cost associated with patients' waiting in hospitals, and (3) the unsatisfied demands. To model patients' waiting and to improve the effectiveness of relief activities by decreasing congestion in hospitals, a queuing framework is utilized. A robust possibilistic programming approach is applied to capture the epistemic uncertainty of parameters and provide risk-averse solutions for policymakers. Given the conflicting objectives sought, we use multi-objective decision-making techniques, including the Torabi and Hasini approach and epsilon-constrained method. Experimentation on a real-life case study confirms that the proposed framework can help decision-makers adopt suitable strategies for planning blood collection and delivery in emergencies. The results obtained show that substantial improvements in the service quality could be achieved at modest increases in the network cost by properly locating facilities using our model. We also observed that both the service level and the service quality remain relatively stable over a wide range of model parameter values, highlighting the robust nature of the proposed approach. Based on our findings, we recommend implementing risk-pooling strategies, setting realistic service level targets, and incorporating service equity as an objective. Although our model accounts for many realistic considerations, it overlooks some relevant issues like network disruptions to remain tractable, which is worthy of further investigation in future research.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Ghodratnama, A (Corresponding Author), Kharazmi Univ, Dept Ind Engn, Fac Engn, Tehran, Iran. Pouraliakbari-Mamaghani, Mahsa; Ghodratnama, Ali; Pasandideh, Seyed Hamid Reza, Kharazmi Univ, Dept Ind Engn, Fac Engn, Tehran, Iran. Saif, Ahmed, Dalhousie Univ, Dept Ind Engn, Halifax, NS B3J 1B6, Canada.}, DOI = {10.1007/s12351-021-00648-z}, EarlyAccessDate = {JUN 2021}, ISSN = {1109-2858}, EISSN = {1866-1505}, Keywords = {Blood supply chain network design; Disaster response; Queuing theory; Robust possibilistic programming; Multi-objective decision-making techniques}, Keywords-Plus = {SERVICE SYSTEM-DESIGN; STOCHASTIC DEMAND; MODEL; OPTIMIZATION; EFFICIENT; MANAGEMENT}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {Pouraliakbari-mamaghani.Mahsa@dal.ca ghodratnama@khu.ac.ir pasandid@yahoo.com Ahmed.Saif@dal.ca}, Affiliations = {Kharazmi University; Dalhousie University}, ResearcherID-Numbers = {Pasandideh, Seyed Hamid Reza/ACY-8108-2022}, ORCID-Numbers = {Pasandideh, Seyed Hamid Reza/0000-0003-2468-8682}, Cited-References = {Acar M, 2019, TRANSPORT RES E-LOG, V130, P273, DOI 10.1016/j.tre.2019.09.007. 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Zahiri B, 2017, INT J PROD RES, V55, P2013, DOI 10.1080/00207543.2016.1262563.}, Number-of-Cited-References = {66}, Times-Cited = {21}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Oper. Res.}, Doc-Delivery-Number = {2F1RQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000658124600001}, DA = {2026-04-14}, } @article{ WOS:000178858300003, Author = {Yamada, K}, Title = {Possibilistic causality consistency problem based on asymmetrically-valued causal model}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2002}, Volume = {132}, Number = {1}, Pages = {33-48}, Month = {NOV 16}, Abstract = {The paper addresses uncertain reasoning based on causal knowledge given by two layered networks, where nodes in one layer express possible causes and those in the other are possible effects. Uncertainties of the causalities are given by conditional causal possibilities, which were proposed to express the exact degrees of possibility of causalities. The expression of the uncertainty also has an advantage over the conventional conditional possibilities in the number of possibilistic values that should be given as a priori knowledge. The number of conditional causal possibilities given as knowledge is far smaller than that of conventional conditional possibilities. The paper starts with the definition of a causal model called asymmetrically-valued causal model. The conditional causal possibilities are defined on the causal model, and their mathematical properties are discussed. Then, the paper defines the possibilistic causality consistency problem based on the proposed model and shows how to solve the problem. The discussed problem is one to calculate the conditional possibility of a hypothesis about presence and absence of unknown events when the states of some other events are known. (C) 2002 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yamada, K (Corresponding Author), Nagaoka Univ Technol, Dept Management \& Informat Syst Sci, 1603-1 Kami Tomioka, Niigata 9202188, Japan. Nagaoka Univ Technol, Dept Management \& Informat Syst Sci, Niigata 9202188, Japan.}, DOI = {10.1016/S0165-0114(02)00099-4}, Article-Number = {PII S0165-0114(02)00099-4}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {possibility theory; causal reasoning; causal network; uncertain reasoning}, Keywords-Plus = {PROBABILISTIC INFERENCE; BELIEF REVISION; FRAMEWORK}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yamada@kjs.nagaokaut.ac.jp}, Affiliations = {Nagaoka University of Technology}, Cited-References = {Cheng PW, 1997, PSYCHOL REV, V104, P367, DOI 10.1037/0033-295X.104.2.367. COOPER GF, 1990, ARTIF INTELL, V42, P393, DOI 10.1016/0004-3702(90)90060-D. DAGUM P, 1993, ARTIF INTELL, V60, P141, DOI 10.1016/0004-3702(93)90036-B. Dubois D, 2001, INT J GEN SYST, V30, P167, DOI 10.1080/03081070108960704. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {24}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {608QN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000178858300003}, DA = {2026-04-14}, } @article{ WOS:000334143100021, Author = {Guo, Peijun and Li, Yonggang}, Title = {Approaches to multistage one-shot decision making}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2014}, Volume = {236}, Number = {2}, Pages = {612-623}, Month = {JUL 16}, Abstract = {In this research, multistage one-shot decision making under uncertainty is studied. In such a decision problem, a decision maker has one and only one chance to make a decision at each stage with possibilistic information. Based on the one-shot decision theory, approaches to multistage one-shot decision making are proposed. In the proposed approach, a decision maker chooses one state amongst all the states according to his/her attitude about satisfaction and possibility at each stage. The payoff at each stage is associated with the focus points at the succeeding stages. Based on the selected states (focus points), the sequence of optimal decisions is determined by dynamic programming. The proposed method is a fundamental alternative for multistage decision making under uncertainty because it is scenario-based instead of lottery-based as in the other existing methods. The one-shot optimal stopping problem is analyzed where a decision maker has only one chance to determine stopping or continuing at each stage. The theoretical results have been obtained. (c) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Guo, PJ (Corresponding Author), Yokohama Natl Univ, Fac Business Adm, Hodogaya Ku, 79-4 Tokiwadai, Yokohama, Kanagawa 2408501, Japan. Guo, Peijun; Li, Yonggang, Yokohama Natl Univ, Fac Business Adm, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan.}, DOI = {10.1016/j.ejor.2013.12.038}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {One-shot decision theory; Scenario-based decision theory; Focus point; Multistage decision making; Dynamic programming; Optimal stopping problem}, Keywords-Plus = {DYNAMIC-PROGRAMMING PROBLEMS; STOPPING PROBLEMS; INFORMATION; UNCERTAINTY; SYSTEM; RISK}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {guo@ynu.ac.jp lygljing@gmail.com}, Affiliations = {Yokohama National University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, ORCID-Numbers = {Guo, Peijun/0000-0001-9841-1673}, Cited-References = {Abo-Sinna MA, 2004, APPL MATH COMPUT, V157, P861, DOI 10.1016/j.amc.2003.08.083. {[}Anonymous], INT J INF DECIS SCI. 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Sabbadin R, 1998, INT J APPROX REASON, V19, P441, DOI 10.1016/S0888-613X(98)10019-1. Shapiro A, 2013, EUR J OPER RES, V224, P375, DOI 10.1016/j.ejor.2012.08.022. Shiryaev A.N., 2007, OPTIMAL STOPPING RUL. WHALEN T, 1984, IEEE T SYST MAN CYB, V14, P888, DOI 10.1109/TSMC.1984.6313316. YAGER RR, 1979, IEEE T SYST MAN CYB, V9, P388. Yoshida Y, 2003, FUZZY SET SYST, V139, P349, DOI 10.1016/S0165-0114(02)00500-6.}, Number-of-Cited-References = {35}, Times-Cited = {23}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {69}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {AE6YE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000334143100021}, DA = {2026-04-14}, } @article{ WOS:000182791900001, Author = {Guo, PJ and Tanaka, H}, Title = {Decision analysis based on fused double exponential possibility distributions}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2003}, Volume = {148}, Number = {3}, Pages = {467-479}, Month = {AUG 1}, Abstract = {In this paper, the possibility grades given by an expert are approximated by double possibility distributions, called upper and lower possibility distributions to characterize uncertainty knowledge from this expert. The upper and lower possibility distributions have some similarities to upper and lower approximations in rough set theory. Multi-source knowledge from multiple experts is represented by a set of exponential possibility distributions. Based on the consistency index defined by the possibility measure of each pair of possibility distributions, a fusion model is proposed to integrate multiple possibility distributions into a new one representing a refined knowledge. As an application, a portfolio selection problem with multiple experts is considered. (C) 2002 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Guo, PJ (Corresponding Author), Kagawa Univ, Fac Econ, Kagawa 7608523, Japan. Kagawa Univ, Fac Econ, Kagawa 7608523, Japan. Hiroshima Int Univ, Dept Kansei Informat, Hiroshima 7240695, Japan.}, DOI = {10.1016/S0377-2217(02)00402-2}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {fuzzy sets; possibility theory; rough sets; information fusion; portfolio selection}, Keywords-Plus = {AGGREGATION; FUSION; INFORMATION}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {guo@ec.kagawa-u.ac.jp h-tanaka@he.hirokoku-u.ac.jp}, Affiliations = {Kagawa University; Hiroshima International University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, ORCID-Numbers = {Guo, Peijun/0000-0001-9841-1673}, Cited-References = {{[}Anonymous], J JAPAN SOC FUZZY TH. DUBOIS D, 1994, CONTROL ENG PRACT, V2, P811, DOI 10.1016/0967-0661(94)90346-8. Dubois D., 1988, POSSIBILITY THEORY. GUO P, 1999, P 8 IEE INT C FUZZ S, V2, P819. GUO P, 2000, THESIS OSAKA PREFECT. GUO P, 1998, INT J FUZZY EC REV, V3, P3. Guo PJ, 2000, IEEE T SYST MAN CY A, V30, P573, DOI 10.1109/3468.867864. Guo PJ, 2001, J OPER RES SOC JPN, V44, P220, DOI 10.15807/jorsj.44.220. Guo PJ, 2000, FUZZY SET SYST, V111, P71, DOI 10.1016/S0165-0114(98)00453-9. PAWLAK Z, 1994, EUR J OPER RES, V72, P443, DOI 10.1016/0377-2217(94)90415-4. Pawlak Z., 1991, Rough Sets. Theoretical Aspects of Reasoning about Data, DOI DOI 10.1007/978-94-011-3534-4. PEARL J, 1993, PROBABILISTIC REASON. Shafer G., 1976, A Mathematical Theory of Evidence, DOI DOI 10.1515/9780691214696. SLOWINSKI R, 1992, HDB APPL ADV ROUGH S. TANAKA H, 1993, INT J APPROX REASON, V8, P123, DOI 10.1016/0888-613X(93)90024-8. Tanaka H, 1999, EUR J OPER RES, V114, P115, DOI 10.1016/S0377-2217(98)00033-2. Tanaka H, 2000, FUZZY SET SYST, V111, P387, DOI 10.1016/S0165-0114(98)00041-4. Tanaka H., 1999, POSSIBILISTIC DATA A. Yager RR, 1996, INT J APPROX REASON, V15, P93, DOI 10.1016/0888-613X(96)00026-6. YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068. YAGER RR, 1997, P 7 IFSA WORLD C, P261. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {22}, Times-Cited = {20}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {677DP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000182791900001}, DA = {2026-04-14}, } @article{ WOS:000250545300040, Author = {Muela, E. and Schweickardt, G. and Garces, F.}, Title = {Fuzzy possibilistic model for medium-term power generation planning with environmental criteria}, Journal = {ENERGY POLICY}, Year = {2007}, Volume = {35}, Number = {11}, Pages = {5643-5655}, Month = {NOV}, Abstract = {The aim of this paper is to apply a fuzzy possibilistic model to the power generation planning that includes environmental criteria. Since it is not always meaningful to relate uncertainty to frequency, the proposed approach analyzes the imprecision and ambiguity into the decision making, especially when the system involves human subjectivity. This paper highlights the subjacent differences between fuzzy and possibilistic entities. Additionally, it illustrates the use of fuzzy sets theory and possibility theory for modeling flexibility, and nonprobabliStiC uncertainty, respectively. The necessity of a new direction for the environmental problem in a power system is outlined, an approach that attempts a greater integral quality of planning instead of searching for a simple optimal solution. This process must be consistent with a wider and more suitable interpretation about both the problem as such and the concept of solution in uncertain situations. (C) 2007 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Muela, E (Corresponding Author), Univ Nacl San Juan, IEE, Av Lib Gral San Martin 1109 Oeste, RA-5400 San Juan, Argentina. Univ Nacl San Juan, IEE, RA-5400 San Juan, Argentina. Fdn Bariloche, Inst Econ Energet, San Carlos De Bariloche, Rio Negro, Argentina.}, DOI = {10.1016/j.enpol.2007.05.020}, ISSN = {0301-4215}, EISSN = {1873-6777}, Keywords = {environmental power generation planning; fuzzy possibilistic decision making; multi-objective optimization}, Research-Areas = {Business \& Economics; Energy \& Fuels; Environmental Sciences \& Ecology}, Web-of-Science-Categories = {Economics; Energy \& Fuels; Environmental Sciences; Environmental Studies}, Author-Email = {edgar.muela@gmail.com gschweickardt@ciudad.com.ar garccs@iee.unsj.edu.ar}, Affiliations = {Universidad Nacional de San Juan}, ResearcherID-Numbers = {Schweickardt, Gustavo/ITU-4751-2023}, ORCID-Numbers = {Schweickardt, Gustavo/0000-0002-0843-2946}, Cited-References = {{[}Anonymous], P 14 INT JOINT C ART. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. Brooke Anthony., 1998, A User's Guide. 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SCHWEICKARDT G, 2004, THESIS U NACL COMAHU. Smets P., 1997, UNCERTAINTY MANAGEME, P225, DOI {[}10.1007/978-1-4615-6245-0, 10.1007/978-1-4615-6245-0\textbackslash{}\_8, DOI 10.1007/978-1-4615-6245-0]. Söderholm P, 2003, ECOL ECON, V46, P333, DOI 10.1016/S0921-8009(03)00185-X. TOMSOVIC K, 2000, P IEEE POW ENG SOC W. Von Neumann J., 1947, Theory of games and economic behavior, V3rd. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZIMMERMANN HJ, 1996, FUZZY SET THEORY ITS, P291.}, Number-of-Cited-References = {27}, Times-Cited = {49}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Energy Policy}, Doc-Delivery-Number = {225VC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000250545300040}, DA = {2026-04-14}, } @article{ WOS:000233109700017, Author = {Giove, S and Funari, S and Nardelli, C}, Title = {An interval portfolio selection problem based on regret function}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2006}, Volume = {170}, Number = {1}, Pages = {253-264}, Month = {APR 1}, Abstract = {Different approaches, besides the traditional Markowitz's model, have been proposed in the literature to analyze portfolio selection problems. Among them we can cite the possibilistic portfolio models, which treat the expected return rates of the securities as fuzzy or possibilistic variables, instead of random variables. Such models, which are based on possibilistic mathematical programming, describe the uncertainty of the real world as ambiguity and vagueness, rather than stochasticity. Actually, another way to treat the uncertainty in decision making problems consists of assuming that the data are not well defined, but are able to vary in given intervals. Interval analysis is thus appropriate to handle the imprecise input data. In this paper we consider a portfolio selection problem in which the prices of the securities are treated as interval variables. In order to deal with such an interval portfolio problem, we propose the adoption of a minimax regret approach based on a regret function. (c) 2004 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Giove, S (Corresponding Author), Univ Venice, Dipartimento Matemat Applicata, Dorsoduro 3825-E, I-30123 Venice, Italy. Univ Venice, Dipartimento Matemat Applicata, I-30123 Venice, Italy. Univ Messina, Dipartimento Discipline Econ Aziendali, I-98100 Messina, Italy.}, DOI = {10.1016/j.ejor.2004.05.030}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {uncertainty modelling; portfolio selection; interval analysis; minimax regret}, Keywords-Plus = {PROGRAMMING-PROBLEMS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {sgiove@unive.it funari@unive.it nardelli@unive.it}, Affiliations = {Universita Ca Foscari Venezia; University of Messina}, ResearcherID-Numbers = {Giove, Silvio/E-9261-2015 Funari, Stefania/J-3153-2012}, ORCID-Numbers = {Giove, Silvio/0000-0003-2951-5350 Funari, Stefania/0000-0003-4927-2675}, Cited-References = {Alefeld G, 2000, J COMPUT APPL MATH, V121, P421, DOI 10.1016/S0377-0427(00)00342-3. Chinneck JW, 2000, J OPER RES SOC, V51, P209, DOI 10.1057/palgrave.jors.2600891. Esogbue AO, 1998, HDB FUZZ SET SER, P421. 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Wang S., 2002, Fuzzy Optimization and Decision Making, V1, P361.}, Number-of-Cited-References = {15}, Times-Cited = {81}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {981TA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000233109700017}, DA = {2026-04-14}, } @article{ WOS:000518489600008, Author = {Kargar, Bahareh and Pishvaee, Mir Saman and Jahani, Hamed and Sheu, Jiuh-Biing}, Title = {Organ transportation and allocation problem under medical uncertainty: A real case study of liver transplantation}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2020}, Volume = {134}, Month = {FEB}, Abstract = {Organ allocation is the most important decision amongst organ transplantation decisions thanks to the high demand of organs. This research develops a possibilistic programming model for a liver transportation and allocation problem considering medical uncertainty and tradeoff between quality metrics, namely efficiency and equity. The model maximizes the survival rate of patients and minimizes the transportation cost and time. A novel hybrid interactive fuzzy optimization model is developed based on preemptive goal programming approach. Several numerical examples are taken from a real case study. The results demonstrate that the suggested algorithm outperforms the existing allocation policy, considering both metrics.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sheu, JB (Corresponding Author), Natl Taiwan Univ, Dept Business Adm, Taipei, Taiwan. Kargar, Bahareh; Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Jahani, Hamed, RMIT Univ, Sch Business IT \& Logist, Melbourne, Vic 3000, Australia. Sheu, Jiuh-Biing, Natl Taiwan Univ, Dept Business Adm, Taipei, Taiwan.}, DOI = {10.1016/j.tre.2020.101841}, Article-Number = {101841}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Organ transplantation; Organ transportation network; Fuzzy sets; Possibilistic programming; Preemptive goal programming}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; KIDNEY-TRANSPLANTATION; EFFICIENCY; DESIGN; MODEL; ASSIGNMENT; SURVIVAL; FLEXIBILITY; RECIPIENT; NETWORK}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {pishvaee@iust.ac.ir hamed.jahani@rmit.edu.au jbsheu@ntu.edu.tw}, Affiliations = {Iran University Science \& Technology; Royal Melbourne Institute of Technology (RMIT); National Taiwan University}, ResearcherID-Numbers = {Kargar, Bahareh/NXC-5322-2025 Sheu, Jiuh-Biing/L-8037-2019 Pishvaee, Mir/H-3450-2018}, ORCID-Numbers = {Jahani, Hamed/0000-0002-7091-6060 Kargar, Bahareh/0009-0009-6923-5557 }, Cited-References = {A-Ebbini L, 2016, EUR J OPER RES, V248, P1051, DOI 10.1016/j.ejor.2015.08.001. 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Wiesner RH, 2001, LIVER TRANSPLANT, V7, P567, DOI 10.1053/jlts.2001.25879. Yaghoobi MA, 2007, EUR J OPER RES, V177, P1580, DOI 10.1016/j.ejor.2005.10.022. Yuan YF, 2002, EUR J OPER RES, V142, P152, DOI 10.1016/S0377-2217(01)00271-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zahiri B, 2014, TRANSPORT RES E-LOG, V72, P101, DOI 10.1016/j.tre.2014.09.007. Zahiri B, 2014, COMPUT IND ENG, V74, P139, DOI 10.1016/j.cie.2014.05.008. Zenios SA, 1999, QUEUEING SYST, V31, P239, DOI 10.1023/A:1019162331525. Zenios SAA, 2000, OPER RES, V48, P549, DOI 10.1287/opre.48.4.549.12418. Zhang SZ, 2017, TRANSPORT RES E-LOG, V107, P120, DOI 10.1016/j.tre.2017.09.003. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {66}, Times-Cited = {33}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {26}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {KS7MA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000518489600008}, DA = {2026-04-14}, } @article{ WOS:000376179600002, Author = {Masmoudi, Malek and Hans, Erwin W. and Hait, Alain}, Title = {Tactical project planning under uncertainty: fuzzy approach}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2016}, Volume = {10}, Number = {3}, Pages = {301-322}, Abstract = {At the tactical planning level in a multi-project environment, uncertainties are inherent to the workloads, and costs may be involved for using non-regular capacity and violating project due dates. We propose an approach to identify whether non-regular capacities might be needed to meet the projects' due dates. This problem is known as rough-cut capacity planning (RCCP) problem under uncertainty. We propose a possibilistic approach, which is based on modelling uncertain workloads with fuzzy sets. We present the resulting fuzzy rough-cut capacity planning (FRCCP), and show that we can use the possibilistic approach to provide a robust solution with a fuzzy resource loading profile that supports managers in decision making. We provide a simulated annealing approach to solve the FRCCP, and test it against several existing RCCP approaches. For the experiments we use real life instances from a shipyard maintenance centre.}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Masmoudi, M (Corresponding Author), Univ St Etienne, F-42000 St Etienne, France. Masmoudi, M (Corresponding Author), IUT Roanne, LASPI, F-42334 Roanne, France. Masmoudi, M (Corresponding Author), Univ Lyon, F-42023 St Etienne, France. Masmoudi, Malek, Univ St Etienne, F-42000 St Etienne, France. Masmoudi, Malek, IUT Roanne, LASPI, F-42334 Roanne, France. Masmoudi, Malek, Univ Lyon, F-42023 St Etienne, France. Hans, Erwin W., Univ Twente, Sch Management \& Governance, CHOIR, POB 217, NL-7500 AE Enschede, Netherlands. Hait, Alain, Univ Toulouse, ISAE, Toulouse, France.}, DOI = {10.1504/EJIE.2016.076381}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {project planning; rough-cut capacity planning; RCCP; uncertainty; workload; fuzzy sets; possibilistic approach; simulated annealing}, Keywords-Plus = {PROBABILITY; ALGORITHM}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {malek.masmoudi@univ-st-etienne.fr e.w.hans@utwente.nl alain.hait@isae.fr}, Affiliations = {Universite Jean Monnet; University of Twente; Universite de Toulouse; Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)}, ORCID-Numbers = {Hans, Erwin W/0000-0002-6618-4661 Haït, Alain/0000-0001-5918-0753}, Cited-References = {{[}Anonymous], THESIS. {[}Anonymous], INSTR MEAS TECHN C P. {[}Anonymous], INT J OPERATIONS RES. {[}Anonymous], FUZZY MULTIPLE ATTRI. {[}Anonymous], THESIS. {[}Anonymous], THESIS BETA I BUSINE. {[}Anonymous], PMS C VAL SPAIN APR. {[}Anonymous], THESIS CONCORDIA U. {[}Anonymous], OEUVRES DE FERMAT. {[}Anonymous], 16 IFAC WORLD C CZEC. {[}Anonymous], GLOBAL J TECHNOLOGY. {[}Anonymous], 11 INT S OP RES ITS. {[}Anonymous], IEEE T SYST MAN CYBE. {[}Anonymous], 11 INT C INF PROC MA. 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Eng.}, Doc-Delivery-Number = {DM2LZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000376179600002}, OA = {Green Published}, DA = {2026-04-14}, } @article{ WOS:001157148900001, Author = {Guillaume, Romain and Kasperski, Adam and Zielinski, Pawel}, Title = {A framework of distributionally robust possibilistic optimization}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2024}, Volume = {23}, Number = {2}, Pages = {253-278}, Month = {JUN}, Abstract = {In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called scenarios, is specified. This possibility distribution induces a necessity measure in a scenario set, which in turn describes an ambiguity set of probability distributions in a scenario set. The distributionally robust approach is then used to convert the imprecise constraints into deterministic equivalents. Namely, the left-hand side of an imprecise constraint is evaluated by using a risk measure with respect to the worst probability distribution that can occur. In this paper, the Conditional Value at Risk is used as the risk measure, which generalizes the strict robust, and expected value approaches commonly used in literature. A general framework for solving such a class of problems is described. Some cases which can be solved in polynomial time are identified.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Kasperski, A (Corresponding Author), Wroclaw Univ Sci \& Technol, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland. Guillaume, Romain, Univ Toulouse, IRIT Toulouse, 118 Route Narbonne, F-31062 Toulouse, France. Kasperski, Adam; Zielinski, Pawel, Wroclaw Univ Sci \& Technol, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland.}, DOI = {10.1007/s10700-024-09420-2}, EarlyAccessDate = {FEB 2024}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Robust optimization; Possibility theory; Fuzzy optimization; Fuzzy intervals; Conditional value at risk}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {romain.guillaume@irit.fr adam.kasperski@pwr.edu.pl pawel.zielinski@pwr.edu.pl}, Affiliations = {Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Wroclaw University of Science \& Technology}, ResearcherID-Numbers = {Kasperski, Adam/A-1013-2008 Zielinski, Pawel/H-2463-2011}, ORCID-Numbers = {Zielinski, Pawel/0000-0002-1466-2887}, Funding-Acknowledgement = {French Investing for the Future - PIA3 program {[}ANR-19-PI3A-0004]; National Science Centre, Poland {[}2022/45/B/HS4/00355]}, Funding-Text = {Romain Guillaume has benefitted from the AI Interdisciplinary Institute ANITI funding. ANITI is funded by the French Investing for the Future - PIA3 program under the Grant agreement ANR-19-PI3A-0004. Adam Kasperski and Pawel Zielinski were supported by the National Science Centre, Poland, grant 2022/45/B/HS4/00355.}, Cited-References = {Baudrit C, 2006, COMPUT STAT DATA AN, V51, P86, DOI 10.1016/j.csda.2006.02.009. Ben-Tal A, 2009, PRINC SER APPL MATH, P3. Bertsimas D, 2004, OPER RES, V52, P35, DOI 10.1287/opre.1030.0065. Bertsimas D, 2018, MATH PROGRAM, V167, P235, DOI 10.1007/s10107-017-1125-8. Bertsimas Dimitris., 2004, Robust discrete optimization under ellipsoidal uncertainty sets. Boyd S., 2008, CONVEX OPTIMIZATION. de Cooman G, 1999, INFORM SCIENCES, V118, P173, DOI 10.1016/S0020-0255(99)00007-9. de Klerk E, 2019, WORLD WOMEN MATH 201, P17, DOI DOI 10.1007/978-3-030-21170-7\_1. Delage E, 2010, OPER RES, V58, P595, DOI 10.1287/opre.1090.0741. Destercke S, 2009, INT J UNCERTAIN FUZZ, V17, P773, DOI 10.1142/S0218488509006261. 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Meysam and Farrokhi-Asl, Hamed}, Title = {Sustainable supplier selection by a new decision model based on interval-valued fuzzy sets and possibilistic statistical reference point systems under uncertainty}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2019}, Volume = {6}, Number = {2}, Pages = {162-178}, Month = {APR 3}, Abstract = {Evaluating and selecting appropriate sustainable supplier is regarded as a significant decision that plays a main role to successfully manage the sustainable supply chain. This study introduces a novel interval-valued fuzzy group decision model for evaluating sustainability performance of suppliers in the sustainable supply chain management (S-SCM). For this purpose, values of two high possibilisic mean and low possibilistic standard deviations are presented to provide new separation measures matrixes. Then, new interval-valued fuzzy indexes are proposed based on concepts of fuzzy possibilistic statistical reference point system. In addition, evaluation criteria from sustainable development dimensions are considered along with the conventional criteria for comprehensive assessment approach. Steps of the proposed interval-valued fuzzy group decision model are implemented to a case study in the supply chain for the sustainable supplier selection problem. The computational results of the presented model are compared with two recent fuzzy decision methods from the related literature. The model can assist supply chain experts or decision-makers to systematically determine preference order of sustainable supplier candidates under uncertain conditions.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Rabbani, M (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Rabbani, Masoud; Foroozesh, Nazanin; Farrokhi-Asl, Hamed, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Mousavi, S. Meysam, Shahed Univ, Dept Ind Engn, Fac Engn, Tehran, Iran. Farrokhi-Asl, Hamed, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1080/23302674.2017.1376232}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Sustainable supply chain; sustainable supplier selection; group decision-making model; interval-valued fuzzy sets; possibilistic statistical reference point systems}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {mrabani@ut.ac.ir}, Affiliations = {University of Tehran; Shahed University; Iran University Science \& Technology}, ResearcherID-Numbers = {Rabbani, Muhammad/AAB-4955-2019 }, ORCID-Numbers = {Rabbani, Muhammad/0000-0001-9174-0255 Farrokhi-Asl, Hamed/0000-0002-5310-5784}, Cited-References = {Amindoust A, 2012, APPL SOFT COMPUT, V12, P1668, DOI 10.1016/j.asoc.2012.01.023. {[}Anonymous], 2014, J. Appl. Math. Ash C.G., 2007, HDB INFORM TECHNOLOG, P245. 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Tao F, 2010, CIRP ANN-MANUF TECHN, V59, P485, DOI 10.1016/j.cirp.2010.03.120. Tao F, 2010, KNOWL INF SYST, V25, P185, DOI 10.1007/s10115-009-0263-6. Tseng ML, 2013, J CLEAN PROD, V40, P22, DOI 10.1016/j.jclepro.2010.08.007. Vahdani B, 2014, INT J ADV MANUF TECH, V73, P687, DOI 10.1007/s00170-014-5849-9. Wang JW, 2009, APPL SOFT COMPUT, V9, P377, DOI 10.1016/j.asoc.2008.04.014. Wei SH, 2009, EXPERT SYST APPL, V36, P2285, DOI 10.1016/j.eswa.2007.12.037. Ye F, 2014, KNOWL-BASED SYST, V67, P263, DOI 10.1016/j.knosys.2014.04.046. Ye F, 2013, MATH PROBL ENG, V2013, DOI 10.1155/2013/519629. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang Y, 2013, INT J ADV MANUF TECH, V67, P2109, DOI 10.1007/s00170-012-4634-x.}, Number-of-Cited-References = {49}, Times-Cited = {121}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Int. J. Syst. Sci.- Oper. Logist.}, Doc-Delivery-Number = {VJ6MC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000615105600005}, DA = {2026-04-14}, } @article{ WOS:000208421100006, Author = {Hryniewicz, Olgierd}, Title = {MERGING FUZZY STATISTICAL DATA WITH IMPRECISE PRIOR INFORMATION}, Journal = {JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING}, Year = {2006}, Volume = {15}, Number = {1}, Pages = {70-82}, Month = {MAR}, Abstract = {Solving complex decision problems requires the usage of information from different sources. Usually this information is uncertain and statistical or probabilistic methods are needed for its processing. However, in many cases a decision maker faces not only uncertainty of a random nature but also imprecision in the description of input data that is rather of linguistic nature. Therefore, there is a need to merge uncertainties of both types into one mathematical model. In the paper we present methodology of merging information from imprecisely reported statistical data and imprecisely formulated fuzzy prior information. Moreover, we also consider the case of imprecisely defined loss functions. The proposed methodology may be considered as the application of fuzzy statistical methods for the decision making in the systems analysis.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Hryniewicz, O (Corresponding Author), Polish Acad Sci, Syst Res Inst, Newelska 6, PL-01447 Warsaw, Poland. Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland.}, DOI = {10.1007/s11518-006-0070-5}, ISSN = {1004-3756}, Keywords = {Bayes decisions; imprecise information; fuzzy statistical data; possibilistic decisions}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {hryniewi@ibspan.waw.pl}, Affiliations = {Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences}, ResearcherID-Numbers = {Hryniewicz, Olgierd/AAM-7092-2020}, ORCID-Numbers = {Hryniewicz, Olgierd/0000-0001-9877-508X}, Cited-References = {{[}Anonymous], FUZZY SETS SYSTEMS. DeGroot MorrisH., 2004, Optimal statistical decisions. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. DUBOIS D, 1983, INFORMATION SCI, V30, P184. Fruehwirth-Schatter S., 1993, FUZZY SETS SYSTEMS, V60, P41. Grzegorzewski P., 2002, International Journal of Applied Mathematics and Computer Science, V12, P337. Raiffa H., 1961, APPL STAT DECISION T. Viertl R., 1991, STAT PAP, V32, P115, DOI DOI 10.1007/BF02925485.}, Number-of-Cited-References = {8}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {J. Syst. Sci. Syst. Eng.}, Doc-Delivery-Number = {V24PA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000208421100006}, DA = {2026-04-14}, } @article{ WOS:000304153500007, Author = {Benferhat, Salem and Tabia, Karim}, Title = {Inference in possibilistic network classifiers under uncertain observations}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2012}, Volume = {64}, Number = {2-3, SI}, Pages = {269-309}, Month = {MAR}, Abstract = {Possibilistic networks, which are compact representations of possibility distributions, are powerful tools for representing and reasoning with uncertain and incomplete information in the framework of possibility theory. They are like Bayesian networks but lie on possibility theory to deal with uncertainty, imprecision and incompleteness. While classification is a very useful task in many real world applications, possibilistic network-based classification issues are not well investigated in general and possibilistic-based classification inference with uncertain observations in particular. In this paper, we address on one hand the theoretical foundations of inference in possibilistic classifiers under uncertain inputs and propose on the other hand a novel efficient algorithm for the inference in possibilistic network-based classification under uncertain observations. We start by studying and analyzing the counterpart of Jeffrey's rule in the framework of possibility theory. After that, we address the validity of Markov-blanket criterion in the context of possibilistic networks used for classification with uncertain inputs purposes. Finally, we propose a novel algorithm suitable for possibilistic classifiers with uncertain observations without assuming any independence relations between observations. This algorithm guarantees the same results as if classification were performed using the possibilistic counterpart of Jeffrey's rule. Classification is achieved in polynomial time if the target variable is binary. The basic idea of our algorithm is to only search for totally plausible class instances through a series of equivalent and polynomial transformations applied on the possibilistic classifier taking into account the uncertain observations.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Benferhat, S (Corresponding Author), UArtois, CRIL UMR CNRS 8188, F-62300 Lens, France. Benferhat, Salem; Tabia, Karim, UArtois, CRIL UMR CNRS 8188, F-62300 Lens, France. Benferhat, Salem; Tabia, Karim, Univ Lille Nord France, F-59000 Lille, France.}, DOI = {10.1007/s10472-012-9290-1}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords = {Possibilistic network classifiers; Uncertain observations; Jeffrey's rule}, Keywords-Plus = {IMPRECISE; INDEPENDENCE; REVISION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {benferhat@cril.univ-artois.fr tabia@cril.univ-artois.fr}, Affiliations = {Universite de Lille}, ResearcherID-Numbers = {Benferhat, Salem/AAM-4101-2021}, ORCID-Numbers = {Benferhat, Salem/0000-0002-4853-3637}, Cited-References = {Aggarwal CC, 2009, ADV DATABASE SYST, V35, P1, DOI 10.1007/978-0-387-09690-2. Aggarwal CC, 2009, IEEE T KNOWL DATA EN, V21, P609, DOI 10.1109/TKDE.2008.190. {[}Anonymous], NEURAL INFORM PROCES. {[}Anonymous], 1984, READINGS PRINCIPLES. {[}Anonymous], 1995, P EUFIT. Axelsson S., 2000, 9915 CHALM U. 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Intell.}, Doc-Delivery-Number = {943VL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000304153500007}, DA = {2026-04-14}, } @article{ WOS:000980433500006, Author = {Usefi, Najibeh and Seifbarghy, Mehdi and Sarkar, Mitali and Sarkar, Biswajit}, Title = {A bi-objective robust possibilistic cooperative gradual maximal covering model for relief supply chain with uncertainty}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2023}, Volume = {57}, Number = {2}, Pages = {761-786}, Month = {APR 28}, Abstract = {The occurrence of natural and artificial disasters due to their unexpected nature requires precise planning and management in the relief supply chain. A major measure in times of crisis is to assist the damaged points. Due to the limitations in the relief process at the time of the accident, relief centers should be opened in appropriate locations that cover the needs of the damaged points in the shortest possible time. Initially, a nonlinear two-level cooperative gradual maximal covering model in relief supply chain is proposed first. The chain includes supply centers, relief, and damaged points under uncertainty of some key parameters. The major goal is to locate the relief centers and determine the allocations and transfer of goods between the two levels. The bi-objective model minimizes the high logistical costs and maximizes damaged points' coverages with uncertain costs. Different robust possibilistic programming approaches have utilized the given approaches' performances, and some suitable recommendations are given. The robust possibilistic model provides the best results among all models. The results show that the robust possibilistic programming model outperforms the possibilistic programming model.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Sarkar, B (Corresponding Author), Yonsei Univ, Dept Ind Engn, 50 Yonsei ro, Sinchon dong, Seoul 03722, South Korea. Sarkar, B (Corresponding Author), Saveetha Univ, Saveetha Inst Med \& Tech Sci, Saveetha Dent Coll, Ctr Transdisciplinary Res CFTR, 162, Poonamallee High Rd, Velappanchavadi, Chennai 600077, Tamil Nadu, India. Usefi, Najibeh; Seifbarghy, Mehdi, Alzahra Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Sarkar, Mitali, Pohang Univ Sci \& Technol, Dept Ind \& Management Engn, 77, Cheongam ro, Pohang Si 37673, Gyeongsangbugdo, South Korea. Sarkar, Biswajit, Yonsei Univ, Dept Ind Engn, 50 Yonsei ro, Sinchon dong, Seoul 03722, South Korea. Sarkar, Biswajit, Saveetha Univ, Saveetha Inst Med \& Tech Sci, Saveetha Dent Coll, Ctr Transdisciplinary Res CFTR, 162, Poonamallee High Rd, Velappanchavadi, Chennai 600077, Tamil Nadu, India.}, DOI = {10.1051/ro/2022204}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Relief supply chain; cooperative gradual maximal covering; network design model; robust possibilistic programming; uncertainty}, Keywords-Plus = {OPTIMIZATION MODEL; FACILITY LOCATION; LOGISTICS NETWORK; DELIVERY; DESIGN}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {bsbiswajitsarkar@gmail.com}, Affiliations = {Alzahra University; Pohang University of Science \& Technology (POSTECH); Yonsei University; Saveetha Institute of Medical \& Technical Science; Saveetha Dental College \& Hospital}, ResearcherID-Numbers = {Sarkar, Mitali/LCD-2149-2024 Seifbarghy, Mehdi/V-8731-2019 Sarkar, Biswajit/E-9458-2012}, ORCID-Numbers = {Sarkar, Mitali/0000-0002-4549-3035 Seifbarghy, Mehdi/0000-0002-0772-4509 Sarkar, Biswajit/0000-0002-6583-8416}, Cited-References = {Afshar A., 2012, Socio-Economic Planning Sciences, V46, P327, DOI DOI 10.1016/J.SEPS.2011.12.003. 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Yadav D, 2022, J ENVIRON INFORM, V40, DOI 10.3808/jei.202200476. Zhang JH, 2019, ANN OPER RES, V283, P1551, DOI {[}10.37155/2717-526x-0101-1, 10.1007/s10479-018-03127-5]. Zokaee S, 2016, APPL MATH MODEL, V40, P7996, DOI 10.1016/j.apm.2016.04.005.}, Number-of-Cited-References = {50}, Times-Cited = {4}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {F2AV4}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000980433500006}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000506015100003, Author = {Fazli-Khalaf, Mohamadreza and Kamal Chaharsooghi, Seyed and Pishvaee, Mir Saman}, Title = {A new robust possibilistic programming model for reliable supply chain network design: A case study of lead-acid battery supply chain}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2019}, Volume = {53}, Number = {5}, Pages = {1489-1512}, Month = {OCT 8}, Abstract = {Nowadays, the importance of caring about tremendous undesirable economical and technological effects of disruptions has impelled many researchers to design reliable supply chain networks. Moreover, the issue of intrinsic imprecision of input parameters should be gingerly regarded in the design of supply chain networks because it could have inverse impact on the quality of long-term planning decisions. Consequently, to handle the noted problems, in this paper, a reliable closed-loop supply chain network is formulated in which a new reliability method is introduced. The proposed formulation can effectively enable the design of a reliable network under different kinds of disruptions besides seeking for minimum overall costs of network design. On the one hand, a new effectual robust possibilistic programming (RPP) model is developed to confront with business-as-usual uncertainty in input parameters. Lastly, a real industrial case study is employed to validate the utility and practicability of the rendered model as well as presenting the efficiency and felicity of the developed RPP model.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Fazli-Khalaf, M (Corresponding Author), Kharazmi Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Fazli-Khalaf, Mohamadreza, Kharazmi Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Kamal Chaharsooghi, Seyed, Tarbiat Modares Univ, Coll Engn, Dept Ind Engn, Tehran, Iran. Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1051/ro/2018073}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Robust possibilistic programming; reliability; supply chain network design; closed-loop supply chain}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; MULTIOBJECTIVE OPTIMIZATION; STOCHASTIC OPTIMIZATION; FLEXIBLE CONSTRAINTS; UNCERTAINTY; MULTIPRODUCT; RELIABILITY; LOCATION}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {mohamad.fazli@yahoo.com}, Affiliations = {Kharazmi University; Tarbiat Modares University; Iran University Science \& Technology}, ResearcherID-Numbers = {Pishvaee, Mir/H-3450-2018 }, ORCID-Numbers = {Fazli-Khalaf, Mohamaeza/0000-0002-1749-6853}, Cited-References = {Amaro ACS, 2009, COMPUT CHEM ENG, V33, P2144, DOI 10.1016/j.compchemeng.2009.06.003. 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Vahdani B, 2013, APPL MATH MODEL, V37, P3254, DOI 10.1016/j.apm.2012.07.021. Vahdani B, 2012, TRANSPORT RES E-LOG, V48, P1152, DOI 10.1016/j.tre.2012.06.002. Zhang P, 2017, RAIRO-OPER RES, V51, P729, DOI 10.1051/ro/2016052.}, Number-of-Cited-References = {55}, Times-Cited = {18}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {54}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {KA7YK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000506015100003}, DA = {2026-04-14}, } @article{ WOS:000259363300012, Author = {Baraldi, Piero and Zio, Enrico}, Title = {A combined Monte Carlo and possibilistic approach to uncertainty propagation in event tree analysis}, Journal = {RISK ANALYSIS}, Year = {2008}, Volume = {28}, Number = {5}, Pages = {1309-1325}, Month = {OCT}, Abstract = {In risk analysis, the treatment of the epistemic uncertainty associated to the probability of occurrence of an event is fundamental. Traditionally, probabilistic distributions have been used to characterize the epistemic uncertainty due to imprecise knowledge of the parameters in risk models. On the other hand, it has been argued that in certain instances such uncertainty may be best accounted for by fuzzy or possibilistic distributions. This seems the case in particular for parameters for which the information available is scarce and of qualitative nature. In practice, it is to be expected that a risk model contains some parameters affected by uncertainties that may be best represented by probability distributions and some other parameters that may be more properly described in terms of fuzzy or possibilistic distributions. In this article, a hybrid method that jointly propagates probabilistic and possibilistic uncertainties is considered and compared with pure probabilistic and pure fuzzy methods for uncertainty propagation. The analyses are carried out on a case study concerning the uncertainties in the probabilities of occurrence of accident sequences in an event tree analysis of a nuclear power plant.}, Publisher = {BLACKWELL PUBLISHING}, Address = {9600 GARSINGTON RD, OXFORD OX4 2DQ, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zio, E (Corresponding Author), Politecn Milan, Dept Energy, Via Ponzro 34-3, I-20133 Milan, Italy. Baraldi, Piero; Zio, Enrico, Politecn Milan, Dept Energy, I-20133 Milan, Italy.}, DOI = {10.1111/j.1539-6924.2008.01085.x}, ISSN = {0272-4332}, Keywords = {epistemic uncertainty; event tree analysis; fuzzy and possibilistic distributions; Monte Carlo sampling; uncertainty propagation}, Keywords-Plus = {EPISTEMIC UNCERTAINTY; FUZZY; PROBABILITY}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {enrico.zio@polimi.it}, Affiliations = {Polytechnic University of Milan}, ResearcherID-Numbers = {Baraldi, Piero/C-2085-2011}, ORCID-Numbers = {Zio, Enrico/0000-0002-7108-637X }, Funding-Acknowledgement = {European Union {[}FIS5-1999-00250]}, Funding-Text = {This study has been carried out with the support of the project Virthualis (FIS5-1999-00250) funded by the European Union.}, Cited-References = {{[}Anonymous], PROB RISK ASS PROC G. {[}Anonymous], BASICS. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {25}, Times-Cited = {105}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {37}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {350OT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000259363300012}, DA = {2026-04-14}, } @article{ WOS:001494688800001, Author = {Zhang, Xiaoyan and Liu, Feiyu}, Title = {Probabilistic linguistic three-way decisions: Integrating prospect theory with fuzzy possibilistic C-means clustering}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2025}, Volume = {517}, Month = {OCT 1}, Abstract = {This study proposes a novel multi-attribute decision-making (MADM) approach, Probabilistic Linguistic Three-Way Decision with Prospect Theory (PL-TWDP), which integrates Prospect Theory (PT) into the framework of Probabilistic Linguistic Term Sets (PLTSs). The method introduces an innovative technique for determining attribute weights by combining information entropy and deviation from the negative ideal solution (NIS), and develops a group satisfaction index to address limitations of traditional utility functions. The Fuzzy Possibilistic C-Means (FPCM) clustering algorithm is extended to refine the evaluation matrix in PLTSs, enhancing the identification of equivalent objects across clusters and the computation of conditional probabilities within the Three-Way Decision (TWD) model. By incorporating PT, the PL-TWDP method ranks alternatives based on utility perception values, promoting objective decision-making in probabilistic linguistic contexts. The effectiveness and superiority of the PL-TWDP method are demonstrated through a case study on air quality evaluation across multiple regions in China. Compared with eight established MADM methods, the proposed approach shows significant improvements in classification accuracy and robustness. Sensitivity analysis confirms its stability under varying parameter settings. This method effectively addresses uncertainties and risks in complex decision environments, providing a practical and reliable decision-making tool. Future work will focus on extending the method to handle large-scale group decision-making scenarios and further refining the integration of PT with PLTSs to enhance decision-making efficiency and accuracy.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, XY (Corresponding Author), Southwest Univ, Coll Artificial Intelligence, Chongqing 400715, Peoples R China. Zhang, Xiaoyan; Liu, Feiyu, Southwest Univ, Coll Artificial Intelligence, Chongqing 400715, Peoples R China.}, DOI = {10.1016/j.fss.2025.109442}, EarlyAccessDate = {MAY 2025}, Article-Number = {109442}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Multi-attribute decision-making; Prospect theory; Probabilistic linguistic term sets; Fuzzy possibilistic C-means; Three-way decision}, Keywords-Plus = {REGRET THEORY; TERM SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {zhangxiaoyan@swu.edu.cn lfy20041024@email.swu.edu.cn}, Affiliations = {Southwest University - China}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}12371465]; Chonqing Natural Science Foundation of China {[}CSTB2023NSCQ-MSX1063]}, Funding-Text = {The authors would like to thank the Associate Editor and the reviewers for their insightful comments and suggestions. This work was supported by the National Natural Science Foundation of China (Grant No. 12371465) and the Chonqing Natural Science Foundation of China (Grant No. CSTB2023NSCQ-MSX1063) .}, Cited-References = {Alcantud JCR, 2016, APPL SOFT COMPUT, V38, P232, DOI 10.1016/j.asoc.2015.09.035. Beg I, 2013, INT J INTELL SYST, V28, P1162, DOI 10.1002/int.21623. BEZDEK JC, 1984, COMPUT GEOSCI, V10, P191, DOI 10.1016/0098-3004(84)90020-7. Calinski T., 1974, Communications in Statistics-Theory and Methods, V3, P1, DOI DOI 10.1080/03610927408827101. Croux C, 2010, STAT METHOD APPL-GER, V19, P497, DOI 10.1007/s10260-010-0142-z. Dai PD, 2014, SPECTROSC SPECT ANAL, V34, P1, DOI 10.3964/j.issn.1000-0593(2014)01-0001-05. Huang XF, 2022, INFORM SCIENCES, V595, P231, DOI 10.1016/j.ins.2022.02.053. Ikotun AM, 2023, INFORM SCIENCES, V622, P178, DOI 10.1016/j.ins.2022.11.139. Jia F, 2021, INT J APPROX REASON, V138, P12, DOI 10.1016/j.ijar.2021.07.011. 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Zhu JX, 2022, INFORM SCIENCES, V595, P89, DOI 10.1016/j.ins.2022.02.030.}, Number-of-Cited-References = {29}, Times-Cited = {3}, Usage-Count-Last-180-days = {16}, Usage-Count-Since-2013 = {46}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {2YZ9S}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001494688800001}, DA = {2026-04-14}, } @article{ WOS:000313728300012, Author = {Flage, Roger and Baraldi, Piero and Zio, Enrico and Aven, Terje}, Title = {Probability and Possibility-Based Representations of Uncertainty in Fault Tree Analysis}, Journal = {RISK ANALYSIS}, Year = {2013}, Volume = {33}, Number = {1}, Pages = {121-133}, Month = {JAN}, Abstract = {Expert knowledge is an important source of input to risk analysis. In practice, experts might be reluctant to characterize their knowledge and the related (epistemic) uncertainty using precise probabilities. The theory of possibility allows for imprecision in probability assignments. The associated possibilistic representation of epistemic uncertainty can be combined with, and transformed into, a probabilistic representation; in this article, we show this with reference to a simple fault tree analysis. We apply an integrated (hybrid) probabilistic-possibilistic computational framework for the joint propagation of the epistemic uncertainty on the values of the (limiting relative frequency) probabilities of the basic events of the fault tree, and we use possibility-probability (probability-possibility) transformations for propagating the epistemic uncertainty within purely probabilistic and possibilistic settings. The results of the different approaches (hybrid, probabilistic, and possibilistic) are compared with respect to the representation of uncertainty about the top event (limiting relative frequency) probability. Both the rationale underpinning the approaches and the computational efforts they require are critically examined. We conclude that the approaches relevant in a given setting depend on the purpose of the risk analysis, and that further research is required to make the possibilistic approaches operational in a risk analysis context.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Flage, R (Corresponding Author), Univ Stavanger, Fac Sci \& Technol, Dept Ind Econ Risk Management \& Planning, N-4036 Stavanger, Norway. Flage, Roger, Univ Stavanger, Fac Sci \& Technol, Dept Ind Econ Risk Management \& Planning, N-4036 Stavanger, Norway. Baraldi, Piero; Zio, Enrico, Politecn Milan, Energy Dept, I-20133 Milan, Italy. Zio, Enrico, Ecole Cent Paris, Chair Syst Sci \& Energet Challenge, European Fdn New Energy EDF, Paris, France.}, DOI = {10.1111/j.1539-6924.2012.01873.x}, ISSN = {0272-4332}, EISSN = {1539-6924}, Keywords = {Epistemic uncertainty; fault tree analysis; possibility-probability (probability-possibility) transformation; risk analysis}, Keywords-Plus = {FUZZY-SETS; PROPAGATION; RELIABILITY; ASSESSMENTS; INFORMATION}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {roger.flage@uis.no}, Affiliations = {Universitetet i Stavanger; Polytechnic University of Milan; Universite Paris Saclay}, ResearcherID-Numbers = {Baraldi, Piero/C-2085-2011}, ORCID-Numbers = {Flage, Roger/0000-0002-2967-9104 Zio, Enrico/0000-0002-7108-637X }, Funding-Acknowledgement = {Research Council of Norway through the PETROMAKS research program; ``Foundation pour une Culture de Securite Industrielle{''} of Toulouse, France {[}AO2009-04]}, Funding-Text = {For R. Flage and T. Aven, the work on the article has been funded by the Research Council of Norway through the PETROMAKS research program. The financial support is gratefully acknowledged. For P. Baraldi and E. Zio, the work has been partially funded by the ``Foundation pour une Culture de Securite Industrielle{''} of Toulouse, France, under the research contract AO2009-04.}, Cited-References = {{[}Anonymous], J RISK RELIABILITY. {[}Anonymous], RISK RELIABILITY SOC. {[}Anonymous], Aven v. Council. {[}Anonymous], RELIABILITY RISK SAF. {[}Anonymous], NUREG1855 US NUCL RE. Anoop MB, 2006, COMPUT STRUCT, V84, P141, DOI 10.1016/j.compstruc.2005.09.017. APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. Baraldi P, 2008, RISK ANAL, V28, P1309, DOI 10.1111/j.1539-6924.2008.01085.x. Baudrit C, 2006, IEEE T FUZZY SYST, V14, P593, DOI 10.1109/TFUZZ.2006.876720. Cepin M, 2005, RELIAB ENG SYST SAFE, V87, P395, DOI 10.1016/j.ress.2004.06.009. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {38}, Times-Cited = {82}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {55}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {073FG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000313728300012}, DA = {2026-04-14}, } @article{ WOS:000794086000002, Author = {Ghahremani-Nahr, Javid and Kian, Ramez and Sabet, Ehsan and Akbari, Vahid}, Title = {A bi-objective blood supply chain model under uncertain donation, demand, capacity and cost: a robust possibilistic-necessity approach}, Journal = {OPERATIONAL RESEARCH}, Year = {2022}, Volume = {22}, Number = {5}, Pages = {4685-4723}, Month = {NOV}, Abstract = {This paper addresses a multi-objective blood supply chain network design, considering economic and environmental aspects. The objective of this model is to simultaneously minimize a blood supply chain operational cost and its logistical carbon footprint. In order to embed the uncertainty of transportation costs, blood demand, capacity of facilities and carbon emission, a novel robust possibilistic-necessity optimization used regarding a hybrid optimistic-pessimistic form. For solving our bi-objective model, three multi-objective decision making approaches including LP-metric, Goal-Programming and Torabi- Hassini methods are examined. These approaches are assessed and ranked with respect to several attributes using a statistical test and TOPSIS method. Our proposed model can accommodate a wide range of decision-makers' viewpoints with the normalized objective weights, both at the operational or strategic level. The trade-offs between the cost and carbon emission for each method has been depicted in our analyses and a Pareto frontier is determined, using a real case study data of 21 cities in the North-West of Iran considering a 12-month implementation time window.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Kian, R (Corresponding Author), Nottingham Trent Univ, Nottingham Business Sch, Nottingham NG1 4FQ, England. Ghahremani-Nahr, Javid, Acad Ctr Educ Culture \& Res ACECR, Tabriz, Iran. Kian, Ramez, Nottingham Trent Univ, Nottingham Business Sch, Nottingham NG1 4FQ, England. Sabet, Ehsan, Loughborough Univ, Wolfson Sch Mech Elect \& Mfg Engn, Loughborough LE11 3TU, Leics, England. Akbari, Vahid, Univ Nottingham, Nottingham Univ Business Sch, Jubilee Campus, Nottingham NG8 1BB, England.}, DOI = {10.1007/s12351-022-00710-4}, EarlyAccessDate = {MAY 2022}, ISSN = {1109-2858}, EISSN = {1866-1505}, Keywords = {Blood supply-chain; Multi-objective; Robust; Fuzzy; Possibilistic-Necessity model}, Keywords-Plus = {NETWORK DESIGN; GROUP COMPATIBILITY; OPTIMIZATION MODEL; DISASTERS; EFFICIENT}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {javid.ghahremani@yahoo.com ramez.kian@ntu.ac.uk e.sabet@lboro.ac.uk vahid.akbari@nottingham.ac.uk}, Affiliations = {Academic Center for Education, Culture \& Research (ACECR); University of Nottingham; Nottingham Trent University; Loughborough University; University of Nottingham}, ResearcherID-Numbers = {Ghahremani-Nahr, Javid/AAV-4042-2021}, ORCID-Numbers = {Ghahremani-Nahr, Javid/0000-0001-7428-1739}, Cited-References = {Alizadeh M, 2020, V7, P20. 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Res.}, Doc-Delivery-Number = {5M4ZU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000794086000002}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000089373800001, Author = {Lapointe, S and Bobée, B}, Title = {Revision of possibility distributions: A Bayesian inference pattern}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2000}, Volume = {116}, Number = {2}, Pages = {119-140}, Month = {DEC 1}, Abstract = {In probability theory, the Bayes' rule of inference plays a central role as corroborated by the ever-increasing number of applications in various fields. The rule allows to revise a prior probability distribution when new information becomes available; the posterior probability distribution takes the form of a conditional distribution. Although several similarities between the possibilistic and probabilistic frameworks have already been reported, very few studies in possibility theory have dealt with Bayesian inference. The objective of this work is to thoroughly study this type of inference and to develop the counterpart of the Bayes' rule in the possibilistic framework with the use of conditional possibility distributions. Application of possibility theory wherever Bayes' theory has already been applied can now be envisaged as a new perspective to uncertainty modeling and processing. In the last part of this paper, the suitability of the proposed framework for the problem of forecast processing is discussed, and an example illustrates the application of Various rules of inference corresponding to different aggregation operators. (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Inst Natl Rech Sci Eau, Ind Chair Stat Hydrol, 2800 Rue Einstein, Ste Foy, PQ G1V 4C7, Canada. Inst Natl Rech Sci Eau, Ind Chair Stat Hydrol, Ste Foy, PQ G1V 4C7, Canada.}, DOI = {10.1016/S0165-0114(98)00367-4}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {possibility distribution; Bayes' rule; probability; inference; revision; forecast}, Keywords-Plus = {FLOOD WARNING SYSTEMS; PROBABILITY-DISTRIBUTIONS; FUZZY-SETS; CONNECTIVES; EQUATIONS; MODEL}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {University of Quebec; Institut national de la recherche scientifique (INRS)}, Cited-References = {{[}Anonymous], APPROXIMATE REASONIN. {[}Anonymous], 1985, Theorie des possibilites. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zadeh L.A., 1975, FUZZY SETS THEIR APP, DOI DOI 10.1016/B978-0-12-775260-0.50006-2. ZADEH LA, 1973, IEEE T SYST MAN CYB, VSMC3, P28, DOI 10.1109/TSMC.1973.5408575. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zedeh L. A., 1989, IEEE Transactions on Knowledge and Data Engineering, V1, P89, DOI 10.1109/69.43406.}, Number-of-Cited-References = {64}, Times-Cited = {30}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {355ET}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000089373800001}, DA = {2026-04-14}, } @article{ WOS:000366939100005, Author = {Gatt, Albert and Portet, Francois}, Title = {Multilingual generation of uncertain temporal expressions from data: A study of a possibilistic formalism and its consistency with human subjective evaluations}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2016}, Volume = {285}, Number = {SI}, Pages = {73-93}, Month = {FEB 15}, Abstract = {In NLG systems, temporal uncertainty in raw data can hamper the inference of temporal and causal relationships between events and thus impact the quality of the generated texts. In this paper, we introduce a framework to represent and reason with temporal uncertainty based on possibility theory and propose a model that uses the outcomes of such temporal reasoning to select linguistic expressions to convey uncertainty to the reader. Our model is based on Fuzzy Temporal Constraint Networks (FTCN) and our work is based on the assumption that uncertainty should be communicated to an end user. The model we propose is grounded in experimental data from three languages. We present a large-scale empirical study that investigates the conditions that influence human subjective uncertainty in reasoning about temporal relations. Based on this, we also construct a classifier to select expressions to convey uncertainty, based on possibility and necessity values. We then present an evaluation which shows that the predictions of the FTCN model correlate well with human subjective uncertainty in different scenarios. An evaluation of our temporal expressions classifier also suggests good results, compared to human selection of linguistic expressions, as compared to baseline models. (C) 2015 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Gatt, A (Corresponding Author), Univ Malta, Inst Linguist, Msida, Malta. Gatt, Albert, Univ Malta, Inst Linguist, Msida, Malta. Portet, Francois, Univ Grenoble Alpes, LIG, F-38000 Grenoble, France. Portet, Francois, CNRS, LIG, F-38000 Grenoble, France.}, DOI = {10.1016/j.fss.2015.07.018}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Natural language generation; Temporal uncertainty; Epistemic modality; Possibility theory}, Keywords-Plus = {LANGUAGE; MODEL; TEXT}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {albert.gatt@um.edu.mt francois.portet@imag.fr}, Affiliations = {University of Malta; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)}, ResearcherID-Numbers = {Gatt, Albert/HOH-4660-2023 }, ORCID-Numbers = {Gatt, Albert/0000-0001-6388-8244 Portet, François/0000-0003-2542-0661}, Cited-References = {ALLEN JF, 1983, COMMUN ACM, V26, P832, DOI 10.1145/182.358434. {[}Anonymous], 2008, P 5 INT NAT LANG GEN. {[}Anonymous], 2007, WORKING MEMORY THOUG. {[}Anonymous], 1981, WORDS WORLDS CONTEXT. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhou L, 2007, J BIOMED INFORM, V40, P183, DOI 10.1016/j.jbi.2006.12.009.}, Number-of-Cited-References = {51}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {CZ2MK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000366939100005}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000166954500004, Author = {Tang, JF and Wang, DW and Fung, RYK}, Title = {Formulation of general possibilistic linear programming problems for complex industrial systems}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2001}, Volume = {119}, Number = {1}, Pages = {41-48}, Month = {APR 1}, Abstract = {The current models and methods for PLP are usually restricted on some special types and usually the same type of possibilistic distribution. This paper focuses on linear programming problems with general possibilistic resources (GRPLP) and linear programming problems with general possibilistic objective coefficients (GOPLP). By introducing some new concepts of the largest most possible point, the smallest most possible point, the most optimistic point and the most possible decision, a new approach for formulating possibilistic constraints through general possibilistic resources and a satisfactory solution method will be discussed in this paper. A most possible decision method for GRPLP and a dual approach for GOPLP will be proposed fur solving complex industrial decision problems. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tang, JF (Corresponding Author), Northeastern Univ, Sch Informat Sci \& Engn, Dept Syst Engn, POB 135, Liaoning 110006, Peoples R China. Northeastern Univ, Sch Informat Sci \& Engn, Dept Syst Engn, Liaoning 110006, Peoples R China. City Univ Hong Kong, Dept Mfg Engn \& Engn Management, Kowloon, Hong Kong, Peoples R China.}, DOI = {10.1016/S0165-0114(98)00466-7}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {mathematical programming; decision making; possibilistic theory; the largest most possible point}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {jftang@mail.neu.edu.cn}, Affiliations = {Northeastern University - China; City University of Hong Kong}, ResearcherID-Numbers = {Fung, Richard Y. K/M-3040-2019}, ORCID-Numbers = {Fung, Richard Y. K/0000-0002-3215-1992}, Cited-References = {BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. 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Zimmermann H.-J., 1985, FUZZY SET THEORY ITS. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {18}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {401XN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000166954500004}, DA = {2026-04-14}, } @article{ WOS:000278641400008, Author = {Zhang, Wei-Guo and Zhang, Xi-Li and Xu, Wei-Jun}, Title = {A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2010}, Volume = {46}, Number = {3}, Pages = {493-499}, Month = {JUN}, Abstract = {Due to changes of situation in financial markets and investors' preferences towards risk, an existing portfolio may not be efficient after a period of time. In this paper, we propose a possibilistic risk tolerance model for the portfolio adjusting problem based on possibility moments theory. A Sequential Minimal Optimization (SMO)-type decomposition method is developed for finding exact optimal portfolio policy without extra matrix storage. We present a simple method to estimate the possibility distributions for the returns of assets. A numerical example is provided to illustrate the effectiveness of the proposed models and approaches. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, WG (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Zhang, Wei-Guo; Zhang, Xi-Li; Xu, Wei-Jun, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1016/j.insmatheco.2010.01.007}, ISSN = {0167-6687}, Keywords = {Portfolio adjusting; Possibilistic moment; Transaction costs; SMO-type decomposition method}, Keywords-Plus = {SUPPORT VECTOR MACHINES; SELECTION PROBLEM; FUZZY NUMBERS; EFFICIENT FRONTIER; SMO ALGORITHM; VARIANCE; OPTIMIZATION; CONSTRAINTS; INFORMATION; SUBJECT}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, Funding-Acknowledgement = {National Science Fund for Distinguished Young Scholars of China {[}70825005]; National Natural Science Foundation of China {[}70571024]; NCET {[}06-0749]; Humanities and Social Science Youth Foundation of the Ministry of Education of China {[}07JC630059]}, Funding-Text = {We would like to thank editors and referees for their penetrating remarks and suggestions concerning the earlier version of this paper. This research is supported by the National Science Fund for Distinguished Young Scholars of China (No. 70825005), the National Natural Science Foundation of China (No. 70571024), NCET(06-0749), and the Humanities and Social Science Youth Foundation of the Ministry of Education of China (No. 07JC630059).}, Cited-References = {{[}Anonymous], ADV KERNEL METHODS S. ARNOTT RD, 1990, J FINANCIAL ANAL, V4, P73. BEST MJ, 1990, J ECON BUS, V42, P105, DOI 10.1016/0148-6195(90)90027-A. Best MJ, 2000, MATH METHOD OPER RES, V52, P195, DOI 10.1007/s001860000073. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Chen PH, 2006, IEEE T NEURAL NETWOR, V17, P893, DOI 10.1109/TNN.2006.875973. Fan RE, 2005, J MACH LEARN RES, V6, P1889. Giove S, 2006, EUR J OPER RES, V170, P253, DOI 10.1016/j.ejor.2004.05.030. Inuiguchi M, 2000, FUZZY SET SYST, V115, P83, DOI 10.1016/S0165-0114(99)00026-3. 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Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2006, APPL MATH COMPUT, V176, P208, DOI 10.1016/j.amc.2005.09.085. Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhang WG, 2009, KNOWL INF SYST, V18, P311, DOI 10.1007/s10115-008-0133-7. Zhang WG, 2009, SOFT COMPUT, V13, P627, DOI 10.1007/s00500-008-0335-7. Zhang WG, 2004, APPL MATH COMPUT, V159, P357, DOI 10.1016/j.amc.2003.10.019.}, Number-of-Cited-References = {30}, Times-Cited = {35}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {33}, Journal-ISO = {Insur. Math. Econ.}, Doc-Delivery-Number = {609FO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000278641400008}, DA = {2026-04-14}, } @article{ WOS:000523486100020, Author = {Georgescu, Irina and Kinnunen, Jani}, Title = {Optimal Saving by Expected Utility Operators}, Journal = {AXIOMS}, Year = {2020}, Volume = {9}, Number = {1}, Month = {MAR}, Abstract = {This paper studies an optimal saving model in which risk is represented by a fuzzy number and the total utility function of the model is defined by an expected utility operator. This model generalizes some existing possibilistic saving models and from them, by a particularization, one can obtain new saving models. In the paper, sufficient conditions are set for the presence of potential risk to increase optimal saving levels and an approximation formula for optimal saving is demonstrated. Particular models for a few concrete expected utility operators are analyzed for triangular fuzzy numbers and CRRA-utility functions.}, Publisher = {MDPI}, Address = {MDPI AG, Grosspeteranlage 5, CH-4052 BASEL, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Georgescu, I (Corresponding Author), Acad Econ Studies, Dept Econ Cybernet, Piata Romana 6 R 70167,Oficiul Postal 22, Bucharest 010552, Romania. Georgescu, Irina, Acad Econ Studies, Dept Econ Cybernet, Piata Romana 6 R 70167,Oficiul Postal 22, Bucharest 010552, Romania. Kinnunen, Jani, Abo Akad Univ, Dept Informat Syst, Tuomiokirkkotori 3, SF-20500 Turku, Finland.}, DOI = {10.3390/axioms9010017}, Article-Number = {17}, EISSN = {2075-1680}, Keywords = {expected utility operator; possibilistic saving models; precautionary saving}, Keywords-Plus = {RISK; UNCERTAINTY; DECISIONS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {irina.georgescu@csie.ase.ro jani.kinnunen@abo.fi}, Affiliations = {Bucharest University of Economic Studies; Abo Akademi University}, ResearcherID-Numbers = {Georgescu, Irina/K-6435-2015 Kinnunen, Jani/OGQ-3209-2025}, ORCID-Numbers = {Georgescu, Irina/0000-0002-8536-5636 }, Cited-References = {{[}Anonymous], 2011, THESIS. {[}Anonymous], 2004, THESIS. Baiardi D, 2020, REV ECON HOUSEHOLD, V18, P513, DOI 10.1007/s11150-019-09460-3. Baiardi D, 2014, J ECON, V113, P211, DOI 10.1007/s00712-013-0366-0. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {26}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Axioms}, Doc-Delivery-Number = {KZ8CK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000523486100020}, OA = {Green Submitted, Green Published, gold}, DA = {2026-04-14}, } @article{ WOS:000232321700035, Author = {Gladish, BP and Parra, MA and Terol, AB and Uría, MVR}, Title = {Management of surgical waiting lists through a possibilistic linear multiobjective programming problem}, Journal = {APPLIED MATHEMATICS AND COMPUTATION}, Year = {2005}, Volume = {167}, Number = {1}, Pages = {477-495}, Month = {AUG 5}, Abstract = {This study attempts to apply a management science technique to improve the efficiency of Hospital Administration. We aim to design the performance of the surgical services at a Public Hospital that allows the Decision-Maker to plan surgical scheduling over one year in order to reduce waiting lists. Real decision problems usually involve several objectives that have parameters which are often given by the decision maker in an imprecise way. It is possible to handle these kinds of problems through multiple criteria models in terms of possibility theory. Here we apply a Possibilistic Linear Multiobjective Programming method, developed by the authors, for solving a hospital management problem using a Fuzzy Compromise Programming approach. (c) 2004 Elsevier Inc. All rights reserved.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Gladish, BP (Corresponding Author), Univ Oviedo, Fac Ciencias Econ \& Empresariales, Dept Econ Cuantitativa, Avda Cristo S-N, E-33006 Oviedo, Asturias, Spain. Univ Oviedo, Fac Ciencias Econ \& Empresariales, Dept Econ Cuantitativa, E-33006 Oviedo, Asturias, Spain.}, DOI = {10.1016/j.amc.2004.07.015}, ISSN = {0096-3003}, EISSN = {1873-5649}, Keywords = {fuzzy sets; compromise programming; decision making; surgical waiting lists}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {bperez@uniovi.es mariamar@uniovi.es ameliab@uniovi.es vrodri@uniovi.es}, Affiliations = {University of Oviedo}, ResearcherID-Numbers = {ARENAS-PARRA, MAR/B-7768-2009 PEREZ-GLADISH, BLANCA/P-6731-2015 Bilbao Terol, Amelia/B-6569-2014}, ORCID-Numbers = {ARENAS-PARRA, MAR/0000-0002-7890-9287 PEREZ-GLADISH, BLANCA/0000-0002-0348-1538 Bilbao Terol, Amelia/0000-0002-5634-1010}, Cited-References = {Arenas M, 2002, J OPER RES SOC, V53, P387, DOI 10.1057/palgrave.jors.2601310. ARENAS M, 1998, APPL DECISION ANAL. ARENAS M, 2000, RES PRACTICE MULTIPL. ARENAS M, 2004, EUROPEAN J OPERATION. Blasco F, 1999, J OPTIMIZ THEORY APP, V102, P69, DOI 10.1023/A:1021838311346. HEILPERN S, 1992, FUZZY SET SYST, V47, P81, DOI 10.1016/0165-0114(92)90062-9. Jimenez M, 1996, INT J UNCERTAIN FUZZ, V4, P379, DOI 10.1142/S0218488596000226. TANAKA H, 1987, FUZZY SET SYST, V24, P363, DOI 10.1016/0165-0114(87)90033-9. YU PL, 1973, MANAGE SCI B-APPL, V19, P936, DOI 10.1287/mnsc.19.8.936. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zeleny M., 1973, Multiple criteria decision making.}, Number-of-Cited-References = {11}, Times-Cited = {12}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Appl. Math. Comput.}, Doc-Delivery-Number = {970PI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000232321700035}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000955316200001, Author = {Sheikholeslami, Mahnaz and Zarrinpoor, Naeme}, Title = {Designing an integrated humanitarian logistics network for the preparedness and response phases under uncertainty}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2023}, Volume = {86}, Month = {APR}, Abstract = {In the current paper, a model of possibilistic location-allocation is proposed for designing a multi-period bi-objective humanitarian logistics network that pursues a reduction in the total cost and maximizes the total network coverage. The model considers the inventory management of perishable relief items and the flow of affected and wounded people in pre-disaster and post-disaster phases, simultaneously. Moreover, wounded people are categorized according to the injury severity. The uncertainty associated with key parameters is also addressed. To handle the uncertainty, a fuzzy chance-constrained programming method originated in the Me measure is used. The purpose of this measure is to prevent the extreme attitudes of the decision maker by considering the combination of possibility and necessity measures and using the optimistic-pessimistic param-eter. This paper presents a solution procedure derived from a fuzzy interactive programming approach and two meta-heuristic algorithms, imperialist competitive algorithm and invasive weed optimization, so as to solve the study model. As for the validation of the proposed model and solution procedures, a number of test problems have been generated. A real-life case study is also implemented to instantiate whether the proposed model is applicable or not.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Zarrinpoor, N (Corresponding Author), Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran. Sheikholeslami, Mahnaz; Zarrinpoor, Naeme, Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran.}, DOI = {10.1016/j.seps.2022.101496}, EarlyAccessDate = {MAR 2023}, Article-Number = {101496}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Humanitarian logistics network; Inventory management; Uncertainty; Bi-objective optimization problem; Evolutionary algorithm}, Keywords-Plus = {IMPERIALIST COMPETITIVE ALGORITHM; INVASIVE WEED OPTIMIZATION; POSSIBILISTIC PROGRAMMING APPROACH; EMERGENCY MEDICAL-SERVICES; SUPPLY CHAIN; BENDERS DECOMPOSITION; ROBUST OPTIMIZATION; FACILITY LOCATION; MODEL; ALLOCATION}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {zarrinpoor@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {zarrinpoor, naeme/0000-0002-3002-9512}, Cited-References = {Abazari SR, 2021, SOCIO-ECON PLAN SCI, V74, DOI 10.1016/j.seps.2020.100933. 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Zarrinpoor N, 2018, EUR J OPER RES, V265, P1013, DOI 10.1016/j.ejor.2017.08.023. Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002. Zhang L, 2019, COMPUT IND ENG, V127, P709, DOI 10.1016/j.cie.2018.11.013. Zhou YQ, 2015, NEUROCOMPUTING, V151, P1227, DOI 10.1016/j.neucom.2014.01.078.}, Number-of-Cited-References = {80}, Times-Cited = {28}, Usage-Count-Last-180-days = {10}, Usage-Count-Since-2013 = {76}, Journal-ISO = {Socio-Econ. Plan. Sci.}, Doc-Delivery-Number = {A5DB9}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000955316200001}, DA = {2026-04-14}, } @article{ WOS:000832828300001, Author = {Goli, Alireza and Ala, Ali and Mirjalili, Seyedali}, Title = {A robust possibilistic programming framework for designing an organ transplant supply chain under uncertainty}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2023}, Volume = {328}, Number = {1, SI}, Pages = {493-530}, Month = {SEP}, Abstract = {Organ transplantation is a crucial task in the healthcare supply chain, which organizes the supply and demand for various vital organs. In this regard, dealing with uncertainty is one of the main challengings in designing an organ transplant supply chain. To address this gap, in the present research, a mathematical formulation and solution method is proposed to optimize the organ transplants supply chain under shipment time uncertainty. A possibilistic programming model and simulation-based solution method are developed for organ transplant center location, allocation, and distribution. The proposed mathematical model optimizes the overall cost by considering the fuzzy uncertainty of organ demands and transportation time. Moreover, a novel simulation-based optimization is applied using the credibility theory to deal with the uncertainty in the optimization of this mathematical model. In addition, the proposed model and solution method are evaluated by implementing different test problems. The numerical results demonstrate that the optimal credibility level is between 0.2 and 0.6 in all tested cases. Moreover, the patient's satisfaction rate is higher than the viability rate in the designed organ supply chain.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Goli, A (Corresponding Author), Univ Isfahan, Fac Engn, Dept Ind Engn \& Future Studies, Esfahan 8174673441, Iran. Goli, Alireza, Univ Isfahan, Fac Engn, Dept Ind Engn \& Future Studies, Esfahan 8174673441, Iran. Ala, Ali, Shanghai Jiao Tong Univ, Sch Mech Engn, Dept Ind Engn \& Management, Shanghai 200240, Peoples R China. Mirjalili, Seyedali, Torrens Univ Australia, Ctr Artificial Intelligence Res \& Optimizat, Brisbane, Qld 4006, Australia. Mirjalili, Seyedali, Yonsei Univ, Yonsei Frontier Lab, Seoul, South Korea.}, DOI = {10.1007/s10479-022-04829-7}, EarlyAccessDate = {JUL 2022}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Organ transplantation; Healthcare operations; Simulation-based optimization; Fuzzy uncertainty; Robust possibilistic programming}, Keywords-Plus = {NETWORK DESIGN; ALLOCATION; MODEL}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {Goli.A@eng.ui.ac.ir Kanban@sjtu.edu.cn}, Affiliations = {University of Isfahan; Shanghai Jiao Tong University; Torrens University Australia; Yonsei University}, ResearcherID-Numbers = {Goli, Alireza/CAA-2640-2022 Mirjalili, Seyedali/P-1372-2018}, ORCID-Numbers = {Ala, Ali/0000-0003-4552-4732 Goli, Alireza/0000-0001-9535-9902 Mirjalili, Seyedali/0000-0002-1443-9458}, Cited-References = {Aghazadeh Seyed Mahdi, 2018, International Journal of Logistics Systems and Management, V29, P17, DOI 10.1504/ijlsm.2018.088578. 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Zahiri B, 2014, TRANSPORT RES E-LOG, V72, P101, DOI 10.1016/j.tre.2014.09.007.}, Number-of-Cited-References = {38}, Times-Cited = {131}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {52}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {P2ZU6}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000832828300001}, DA = {2026-04-14}, } @article{ WOS:000569121300001, Author = {Yaghin, R. Ghasemy and Darvishi, Fateme}, Title = {Order allocation and procurement transport planning in apparel supply chain: A utility-based possibilistic-flexible programming approach}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2020}, Volume = {398}, Number = {SI}, Pages = {1-33}, Month = {NOV 1}, Abstract = {The purpose of this paper is to study the integrated decisions of the physical supply channel on the global scale including the supplier selection, order allocation, and transportation planning under uncertainty. In detail, this study addresses the supply decision-making problem in a multi-source, multi-product, and multi-mode transportation in accordance with the price discounts. To this end, a multi-objective mixed integer linear programming model is developed to jointly determine the best suppliers, and purchasing quantities along with the number and type of transportation modes. Three important objective functions, i.e., total logistics costs, total late deliveries and total value of purchasing are optimized in our proposed mathematical model. Then, a fuzzy multi-choice goal programming model with the utility function is presented to solve the multi-objective formulation. A novel flexible-possibilistic programming approach is proposed to cope with the epistemic uncertainty and the flexibility of constraints based on the expected value and chance constraint programming concept. Finally, a numerical study in the apparel supply chain is carried out to show the model usefulness and the solution algorithm effectiveness. (C) 2019 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yaghin, RG (Corresponding Author), Amirkabir Univ Technol, Dept Text Engn, Clothing Engn \& Management Grp, 424 Hafez Ave, Tehran, Iran. Yaghin, R. Ghasemy; Darvishi, Fateme, Amirkabir Univ Technol, Dept Text Engn, Clothing Engn \& Management Grp, 424 Hafez Ave, Tehran, Iran.}, DOI = {10.1016/j.fss.2019.09.016}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy mathematical programming; Apparel supply chain; Procurement-transportation planning; Order allocation; Possibilistic programming; Flexible programming}, Keywords-Plus = {MULTIPLE CRITERIA; VENDOR SELECTION; MODEL; UNCERTAINTIES; OPTIMIZATION; DEMAND}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yaghin@aut.ac.ir}, Affiliations = {Amirkabir University of Technology}, ResearcherID-Numbers = {Yaghin, R./AGU-9039-2022}, Cited-References = {Aalaei A, 2016, ENG APPL ARTIF INTEL, V47, P3, DOI 10.1016/j.engappai.2015.04.005. Awasthi A, 2018, INT J PROD ECON, V195, P106, DOI 10.1016/j.ijpe.2017.10.013. 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Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002.}, Number-of-Cited-References = {52}, Times-Cited = {25}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {47}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {NN9PQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000569121300001}, DA = {2026-04-14}, } @article{ WOS:000292898000003, Author = {Aven, Terje}, Title = {A risk concept applicable for both probabilistic and non-probabilistic perspectives}, Journal = {SAFETY SCIENCE}, Year = {2011}, Volume = {49}, Number = {8-9}, Pages = {1080-1086}, Month = {OCT}, Abstract = {In engineering risk assessments, probability is the common tool used to describe the epistemic uncertainties about unknown quantities. Probability is considered a main component of risk. However, a number of alternative approaches exist for representing and describing uncertainties in risk assessments, including possibility theory and evidence theory. For these approaches and theories a probability-based risk definition cannot in general serve as a conceptual framework for risk assessments. A broader risk perspective is required. The purpose of the present paper is to present such a perspective and show how both the probabilistic and the alternative approaches and theories can be supported by this perspective. The key feature of this perspective is that uncertainty replaces probability in the definition of risk. (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Aven, T (Corresponding Author), Univ Stavanger, Ctr Risk Management \& Societal Safety, Stavanger, Norway. Univ Stavanger, Ctr Risk Management \& Societal Safety, Stavanger, Norway.}, DOI = {10.1016/j.ssci.2011.04.017}, ISSN = {0925-7535}, EISSN = {1879-1042}, Keywords = {Risk; Uncertainties; Probabilities; Possibility theory; Imprecison intervals}, Keywords-Plus = {ASSESSMENTS; PROPAGATION; UNCERTAINTIES; SAFETY; EVENT; NEED}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {terje.aven@uis.no}, Affiliations = {Universitetet i Stavanger}, Funding-Acknowledgement = {Research Council of Norway}, Funding-Text = {This work has been funded by The Research Council of Norway through the SAMRISK and PETROMAKS research programmes. The financial support is gratefully acknowledged.}, Cited-References = {Ale BJM, 2002, SAFETY SCI, V40, P105, DOI 10.1016/S0925-7535(01)00044-3. {[}Anonymous], 2018, ISO 31000:2018, VSecond. 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Renn OrtwinPeter Graham., 2005, White Paper on Risk Governance: Towards an Integrative Approach. Rosa E., 1998, J RISK RES, V1, P15, DOI DOI 10.1080/136698798377303. Rosa E.A., 2003, SOCIAL AMPLIFICATION. Shafer G., 1976, A mathematical theory of evidence, V76. Singpurwalla N.D., 2006, Reliability and Risk: A Bayesian Perspective, V1. Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427.}, Number-of-Cited-References = {35}, Times-Cited = {37}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Saf. Sci.}, Doc-Delivery-Number = {794LK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000292898000003}, DA = {2026-04-14}, } @article{ WOS:000460630300008, Author = {Soufi, Hojat Rezaei and Torabi, S. Ali and Sahebjamnia, Navid}, Title = {Developing a novel quantitative framework for business continuity planning}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2019}, Volume = {57}, Number = {3}, Pages = {779-800}, Month = {FEB 1}, Abstract = {Today's competitive and turbulent environment persuades every organisation to implement a business continuity management system (BCMS) for dealing with disruptive incidents such as earthquake, flood, and terrorist attacks. Within a BCMS, effective and efficient business continuity plans (BCPs) must be provided to ensure the continuity of organisation's key products. This study develops a novel approach to select the most appropriate BCPs which can meet the business continuity key measures. First, a risk assessment process is conducted to define the disruptive incidents for which the organisation should have suitable BCPs. Then, two different possibilistic programming models including hard and soft BCP selection models are developed to determine appropriate BCPs under epistemic uncertainty of input data. These models aim to maximise the resilience level of the organisation while minimising the establishment cost of selected BCPs.\& Finally, a real case study is provided whose results demonstrate the applicability and usefulness of the proposed approach.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Soufi, Hojat Rezaei; Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Sahebjamnia, Navid, Univ Sci \& Technol Mazandaran, Dept Ind Engn, Behshahr, Iran.}, DOI = {10.1080/00207543.2018.1483586}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {risk management; optimisation; organisational resilience; business continuity management; business continuity plan; possibilistic programming}, Keywords-Plus = {ORGANIZATIONAL RESILIENCE; IMPACT ANALYSIS; MANAGEMENT; TIME}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {satorabi@ut.ac.ir}, Affiliations = {University of Tehran; University of Science \& Technology of Mazandaran}, ResearcherID-Numbers = {Torabi, S. Ali/E-1078-2018 Sahebjamnia, Navid/HGD-6014-2022}, ORCID-Numbers = {Torabi, S. Ali/0000-0002-9764-9679 Rezaei Soufi, H/0000-0002-8379-9369 Sahebjamnia, Navid/0000-0001-5727-9477}, Cited-References = {Akkiraju Rama, 2012, Journal of Service Science Research, V4, P319, DOI 10.1007/s12927-012-0013-2. {[}Anonymous], 2016, DISASTER FORENSICS. Asnar Y, 2008, LECT NOTES COMPUT SC, V5240, P212, DOI 10.1007/978-3-540-85758-7\_17. Australian National Audit Office, 2000, BUS CONT MAN KEEP WH. Bakowski C., 2007, BUS CONT PLAN DEV. Bhamra R, 2011, INT J PROD RES, V49, P5375, DOI 10.1080/00207543.2011.563826. Boehmer W., 2010, INT J ADV SECURITY, V2, P312. Bruneau M, 2003, EARTHQ SPECTRA, V19, P733, DOI 10.1193/1.1623497. Bryson KM, 2002, EUR J OPER RES, V141, P679, DOI 10.1016/S0377-2217(01)00275-2. Cerullo V, 2004, INFORM SYST MANAGE, V21, P70, DOI 10.1201/1078/44432.21.3.20040601/82480.11. CHAPMAN C. W., 2017, THESIS. Council F.F.I. E., 2008, IT EX HDB. Helms R., 2006, 1 INT C AV REL SEC 2. Herbane B, 2004, LONG RANGE PLANN, V37, P435, DOI 10.1016/j.lrp.2004.07.011. 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J. Prod. Res.}, Doc-Delivery-Number = {HO0XW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000460630300008}, DA = {2026-04-14}, } @article{ WOS:000533710700001, Author = {Ghomi-Avili, Morteza and Tavakkoli-Moghaddam, Reza and Naeini, Seyed Gholamreza Jalali and Jabbarzadeh, Armin}, Title = {Competitive green supply chain network design model considering inventory decisions under uncertainty: a real case of a filter company}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2021}, Volume = {59}, Number = {14}, Pages = {4248-4267}, Month = {JUL 18}, Abstract = {A robust bi-level model of the single-product multi-period network design problem is proposed for a competitive green supply chain considering pricing and inventory decisions under uncertainty and disruption risks. The bi-level programming approach is used through this model to demonstrate the competition among two supply chains; the leader and the follower, respectively. After modelling the competition and applying pricing decisions by defining a price-dependent demand, disruption risks are analysed through the model. The proposed model simultaneously considers demand uncertainty and disruption risks and is capable of dealing with such uncertainties by implementing resilience strategies including, inventory decisions, and having a contract with reliable suppliers. Moreover, to consider the environmental issues, controlling CO2 emissions and managing the reverse flow were added to the model. Our approach to mitigate the problem uncertainties is to use the possibilistic programming method. The Karush-Kuhan-Tucker (K-K-T) optimality conditions are deployed to make a single-level equivalent form. Since the integrated model was bi-objective, the epsilon-constraint method is implemented to make a single objective integrated model. Finally, some managerial implications are discussed through an industrial case example.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tavakkoli-Moghaddam, R (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Ghomi-Avili, Morteza; Naeini, Seyed Gholamreza Jalali; Jabbarzadeh, Armin, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Tavakkoli-Moghaddam, Reza, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Jabbarzadeh, Armin, Ecole Technol Super, Dept Genie Syst, Montreal, PQ, Canada.}, DOI = {10.1080/00207543.2020.1760391}, EarlyAccessDate = {MAY 2020}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {supply chain network design; disruption; competition; pricing; inventory decision; uncertainty}, Keywords-Plus = {FORWARD/REVERSE LOGISTICS NETWORK; ROBUST OPTIMIZATION MODEL; EPSILON-CONSTRAINT METHOD; REVERSE LOGISTICS; PRICING MODEL; DEMAND; DISRUPTION; LOCATION; ALGORITHM; RESILIENT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {tavakoli@ut.ac.ir}, Affiliations = {Iran University Science \& Technology; University of Tehran; University of Quebec; Ecole de Technologie Superieure - Canada}, ResearcherID-Numbers = {Jabbarzadeh, Armin/S-8809-2018 Ghomi-avili, Morteza/HLQ-2335-2023 Tavakkoli-Moghaddam, Reza/P-1948-2015}, ORCID-Numbers = {Jabbarzadeh, Armin/0000-0001-5109-7736 Ghomi-avili, Morteza/0000-0002-4506-1822 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X}, Cited-References = {Aghezzaf EH, 2010, COMPUT OPER RES, V37, P880, DOI 10.1016/j.cor.2009.03.012. 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Res.}, Doc-Delivery-Number = {TA8JY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000533710700001}, DA = {2026-04-14}, } @article{ WOS:000509475400017, Author = {Tolga, A. Cagri}, Title = {Real options valuation of an IoT based healthcare device with interval Type-2 fuzzy numbers}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2020}, Volume = {69}, Month = {MAR}, Abstract = {Medical devices have attained increasing importance in diagnosis and treatment in the healthcare system in recent years due to technological advancements. Along with this progress, the IoT property in these devices reduces the supply time, which is very critical in increasing their up periods. Often, certain medical devices used in treatment require a major portion of the investment. Such huge capital goods are generally irreversible investments. Depending on the strategic view and irreversibility, medical device assessment requires a sophisticated evaluation method called real options. However, there are many ambiguities during the investment period and while gathering the data for the evaluation. Interval type-2 fuzzy logic fits like a glove for such vague conditions and lack of data. In this study, an interval type-2 fuzzy set integrated real option analysis is offered for medical treatment device evaluation. Possibilistic mean value and possibilistic variance of interval type-2 fuzzy sets are found for the purpose of the real options analysis. This offered method is applied to a real case in a healthcare system. Sensitivity analysis provides many different viewpoints. At the end of the procedure, the institution decides whether to perform the investment now or one year later.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Tolga, AC (Corresponding Author), Galatasaray Univ, Dept Ind Engn, TR-34349 Istanbul, Turkey. Tolga, A. Cagri, Galatasaray Univ, Dept Ind Engn, TR-34349 Istanbul, Turkey.}, DOI = {10.1016/j.seps.2019.02.008}, Article-Number = {100693}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Interval Type-2 fuzzy numbers; Possibility theory; Real options; Healthcare; Device evaluation}, Keywords-Plus = {DECISION-MAKING; SYSTEMS; RANKING}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {ctolga@gsu.edu.tr}, Affiliations = {Galatasaray University}, ResearcherID-Numbers = {Tolga, A. Cagri/B-3787-2009}, ORCID-Numbers = {Tolga, A. Cagri/0000-0001-6309-0099}, Cited-References = {Agapova M, 2014, ACAD RADIOL, V21, P1138, DOI 10.1016/j.acra.2014.05.006. Aguwa CC, 2010, J MED DEVICES, V4, DOI 10.1115/1.4002323. Ali F, 2018, COMPUT COMMUN, V119, P138, DOI 10.1016/j.comcom.2017.10.005. BLACK F, 1973, J POLIT ECON, V81, P637, DOI 10.1086/260062. Brach M.A., 2003, REAL OPTIONS PRACTIC. Carlsson C, 2003, FUZZY SET SYST, V139, P297, DOI 10.1016/S0165-0114(02)00591-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Carlsson C, 2012, COMMUN COMPUT INF SC, P19, DOI DOI 10.1007/978-3-642-31718-7\_3. Castillo O, 2008, TYPE 2 FUZZY LOGIC T, P29, DOI {[}10.1007/978-3-540-76284-3\_3, DOI 10.1007/978-3-540-76284-3\_3]. Chang TH, 2014, INFORM SCIENCES, V271, P196, DOI 10.1016/j.ins.2014.02.118. Chen SM, 2013, INFORM SCIENCES, V242, P1, DOI 10.1016/j.ins.2013.04.005. Chen SM, 2010, EXPERT SYST APPL, V37, P2790, DOI 10.1016/j.eswa.2009.09.012. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {38}, Times-Cited = {22}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {35}, Journal-ISO = {Socio-Econ. Plan. Sci.}, Doc-Delivery-Number = {KF8GN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000509475400017}, DA = {2026-04-14}, } @article{ WOS:000697731100041, Author = {Zahiri, Behzad and Suresh, Nallan C.}, Title = {Hub network design for hazardous-materials transportation under uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2021}, Volume = {152}, Month = {AUG}, Abstract = {This paper considers a hazardous materials (hazmat) transportation network design problem based on hub location topology under uncertainty. The control variables include decisions regarding location of hubs and hazmat response teams, along with the routing schemes. The model aims to minimize the total risk in the network. The measure of risk incorporates average response time to hazmat incidents as well as waiting time at hubs. To tackle the uncertainty of the problem, an efficient interactive approach using mean-absolute deviation and possibilistic programming is developed. Two heuristic algorithms based on lower bound procedure and rolling horizon scheme are presented to solve the model in large scale instances. The advantages of the presented methodologies are demonstrated through numerical experiments based on transportation networks from Sioux Falls, SD, and Western New York. We investigate different design schemes and discuss optimal decisions under different configurations.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zahiri, B (Corresponding Author), Delta Air Lines, 1030 Delta Blvd, Atlanta, GA 30354 USA. Zahiri, Behzad, Delta Air Lines, 1030 Delta Blvd, Atlanta, GA 30354 USA. Suresh, Nallan C., Univ Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY USA.}, DOI = {10.1016/j.tre.2021.102424}, EarlyAccessDate = {JUL 2021}, Article-Number = {102424}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Hazardous materials transportation; Network design; Hub location; Hazmat response team; Uncertainty}, Keywords-Plus = {ROAD NETWORK; LOCATION; MODEL; ALLOCATION; SELECTION}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {behzadza@buffalo.edu}, Affiliations = {State University of New York (SUNY) System; University at Buffalo, SUNY}, Cited-References = {Amaldi E, 2011, LECT NOTES COMPUT SC, V6701, P327, DOI 10.1007/978-3-642-21527-8\_38. 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Rev.}, Doc-Delivery-Number = {US9FP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000697731100041}, DA = {2026-04-14}, } @article{ WOS:000315819600007, Author = {Sakalli, U. S. and Baykoc, O. F.}, Title = {Strong guidance on mitigating the effects of uncertainties in the brass casting blending problem: a hybrid optimization approach}, Journal = {JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY}, Year = {2013}, Volume = {64}, Number = {4}, Pages = {562-576}, Month = {APR}, Abstract = {The scrap charge optimization problem in the brass casting process is a critical management concern that aims to reduce the charge while preventing specification violations. Uncertainties in scrap material compositions often cause violations in product standards. In this study, we have discussed the aleatory and epistemic uncertainties and modelled them by using probability and possibility distributions, respectively. Mathematical models including probabilistic and possibilistic parameters are generally solved by transforming one type of parameter into the other. However, the transformation processes have some handicaps such as knowledge losses or virtual information production. In this paper, we have proposed a new solution approach that needs no transformation process and so eliminates these handicaps. The proposed approach combines both chance-constrained stochastic programming and possibilistic programming. The solution of the numerical example has shown that the blending problem including probabilistic and possibilistic uncertainties can be successfully handled and solved by the proposed approach. Journal of the Operational Research Society (2013) 64, 562-576. doi:10.1057/jors.2012.50}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sakalli, ÜS (Corresponding Author), Kirikkale Univ, Dept Ind Engn, TR-71451 Kirikkale, Turkey. Sakalli, U. S., Kirikkale Univ, TR-71451 Kirikkale, Turkey. Baykoc, O. F., Gazi Univ, Ankara, Turkey.}, DOI = {10.1057/jors.2012.50}, ISSN = {0160-5682}, EISSN = {1476-9360}, Keywords = {blending problem; stochastic programming; possibilistic programming; brass casting}, Keywords-Plus = {PROGRAMMING-MODEL; SELECTION; SYSTEM; COST}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {ssakalli@kku.edu.tr}, Affiliations = {Kirikkale University; Gazi University}, ResearcherID-Numbers = {SAKALLI, Umit Sami/JPL-1015-2023}, Cited-References = {Abbott J, 2005, J PLAN EDUC RES, V24, P237, DOI 10.1177/0739456X04267710. Al-Shammari M., 1997, Production and Inventory Management Journal, V38, P1. {[}Anonymous], AM FOUNDRYMENS SOC T. {[}Anonymous], THESIS U TECHNOLOGY. {[}Anonymous], GAMS US GUID. {[}Anonymous], IFORSS 99 CHIN. {[}Anonymous], 1993, FUZZY LOGIC. 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VASKO FJ, 1987, OPER RES, V35, P346, DOI 10.1287/opre.35.3.346. WILSON E, 1985, EUR J OPER RES, V19, P297, DOI 10.1016/0377-2217(85)90125-0. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {48}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {18}, Journal-ISO = {J. Oper. Res. Soc.}, Doc-Delivery-Number = {102BZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000315819600007}, DA = {2026-04-14}, } @article{ WOS:000271971700024, Author = {Ehsani, Maryam and Makui, Ahmad and Nezhad, Soheil Sadi}, Title = {A methodology for analyzing decision networks, based on information theory}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2010}, Volume = {202}, Number = {3}, Pages = {853-863}, Month = {MAY 1}, Abstract = {This paper assumes the organization as a distributed decision network. It proposes an approach based on application and extension of information theory concepts, in order to analyze informational complexity in a decision network, due to interdependence between decision centers. Based on this approach, new quantitative concepts and definitions are proposed in order to measure the information in a decision center, based oil Shannon entropy and its complement in possibility theory, U uncertainty. This approach also measures the quantity of interdependence between decision centers and informational complexity of decision networks. The paper presents an agent-based model of organization as a graph composed of decision centers. The application of the proposed approach is in analyzing and assessing a measure to the organization structure efficiency, based on informational communication view. The structure improvement, analysis of information flow in organization and grouping algorithms are investigated in this paper. The results obtained from this model in different systems as distributed decision networks, clarifies the importance of structure and information distribution sources effect's on network efficiency. (C) 2009 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Makui, A (Corresponding Author), Iran Univ Sci \& Technol, Dept Ind Engn, Tehran 1684613114, Narmak, Iran. Ehsani, Maryam; Makui, Ahmad, Iran Univ Sci \& Technol, Dept Ind Engn, Tehran 1684613114, Narmak, Iran. Nezhad, Soheil Sadi, Islamic Azad Univ, Dept Ind Engn, Sci \& Res Branch, Tehran 1477893855, Iran.}, DOI = {10.1016/j.ejor.2009.06.028}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Distributed decision network; Informational complexity of decision network; Shannon entropy; U uncertainty in possibility theory}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {amakui@iust.ac.ir}, Affiliations = {Iran University Science \& Technology; Islamic Azad University}, ResearcherID-Numbers = {makui, ahmad/S-6038-2018}, ORCID-Numbers = {makui, ahmad/0000-0001-6249-530X}, Cited-References = {ABUMOSTAFA YS, 2009, COMPLEXITY INFORM TH. Ashby W.R., 1958, INTRO CYBERNETICS. DECANIO SJ, 1998, J EC BEHAV ORG, V36. FAZLOLAHHI B, 2000, INT J INTELLIGENT SY, V15. GOLOMB D, 2000, NEURAL COMPUTATION, V12. Haykin Simon., 1999, The Knowledge Engineering Review. 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Res.}, Doc-Delivery-Number = {522BC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000271971700024}, DA = {2026-04-14}, } @article{ WOS:A1993LW63900006, Author = {LAI, YJ and HWANG, CL}, Title = {A STOCHASTIC POSSIBILISTIC PROGRAMMING-MODEL FOR BANK HEDGING DECISION-PROBLEMS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1993}, Volume = {57}, Number = {3}, Pages = {351-363}, Month = {AUG 10}, Abstract = {For a practical bank hedging decision optimization problem, interest rates and price of futures contract may involve both fuzziness and randomness. For subjective nature of satisfaction, maximum desired values of loan demand, deposit supply and ratio of desired loan to deposit are often fuzzy. In this study, we consider and solve a stochastic possibilistic programming model of bank hedging decision problems with the above characters. We first use the expected value to obtain an auxiliary possibilistic linear programming problem which is further resolved by use of beta-level cut. An (crisp) auxiliary bi-objective linear programming model is then proposed and solved by our augmented maximin approach. For illustration purpose. a numerical bank hedging decision problem is solved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {LAI, YJ (Corresponding Author), KANSAS STATE UNIV AGR \& APPL SCI,DEPT IND ENGN,DURLAND HALL,MANHATTAN,KS 66506, USA.}, DOI = {10.1016/0165-0114(93)90029-H}, ISSN = {0165-0114}, Keywords = {BALANCE-SHEET OPTIMIZATION; BANK HEDGING DECISIONS; LINGUISTIC INTEREST RATES UNDER MULTIPLE STATES; STOCHASTIC POSSIBILISTIC PROGRAMMING; POSSIBILISTIC PROGRAMMING; MULTIPLE OBJECTIVE LINEAR PROGRAMMING; AUGMENTED MAXIMIN}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {{[}Anonymous], 1985, INT J APPROXIMATE RE. {[}Anonymous], FUZZY MATH PROGRAMMI. BOOTH GG, 1986, J FINANC RES-US, V9, P271, DOI 10.1111/j.1475-6803.1986.tb00457.x. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {18}, Times-Cited = {13}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {LW639}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1993LW63900006}, DA = {2026-04-14}, } @article{ WOS:000331019800037, Author = {Mandal, Saptarshi and Maiti, J.}, Title = {Risk analysis using FMEA: Fuzzy similarity value and possibility theory based approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2014}, Volume = {41}, Number = {7}, Pages = {3527-3537}, Month = {JUN 1}, Abstract = {Fuzzy numerical technique for FMEA has been proposed to deal with the drawbacks of crisp FMEA and fuzzy rule based FMEA approaches. Fuzzy numerical approaches based on de-fuzzification also suffer from the drawback of providing arbitrary priority ranks of failure modes even when their membership functions overlap. To overcome this drawback we developed a new methodology integrating the concepts of similarity value measure of fuzzy numbers and possibility theory. Similarity value measure has been applied to group together failure modes having similar amount of risk value. The possibility theory has been used for checking for conformance guidelines. Two case studies have been shown to demonstrate the methodology thus developed. The proposed methodology is more robust in nature as it does not require arbitrary precise operations like de-fuzzification to prioritise the failure modes. Application of possibility theory is new to the domain of risk analysing using FMEA. (C) 2013 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Maiti, J (Corresponding Author), Indian Inst Technol, Dept Ind Engn \& Management, Kharagpur 721302, W Bengal, India. Mandal, Saptarshi; Maiti, J., Indian Inst Technol, Dept Ind Engn \& Management, Kharagpur 721302, W Bengal, India.}, DOI = {10.1016/j.eswa.2013.10.058}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy FMEA; Risk assessment; Possibility theory; Fuzzy set theory; Similarity value measure; Regulatory compliance}, Keywords-Plus = {FAILURE MODE; REASONING APPROACH; PRIORITIZATION; UNCERTAINTY}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {jhareswar.maiti@gmail.com}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur}, ResearcherID-Numbers = {Maiti, Jhareswar/ABR-5976-2022}, ORCID-Numbers = {Mandal, Saptarshi/0000-0001-7189-4169 Maiti, Jhareswar/0000-0001-9546-5860}, Cited-References = {{[}Anonymous], INTRO FUZZY CONTROL. 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Zhang ZF, 2011, EXPERT SYST APPL, V38, P206, DOI 10.1016/j.eswa.2010.06.046. Zimmermann H J, 2001, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {29}, Times-Cited = {119}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {98}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {AA3UM}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000331019800037}, DA = {2026-04-14}, } @article{ WOS:000367109800004, Author = {Luukka, Pasi and Collan, Mikael}, Title = {New fuzzy insurance pricing method for giga-investment project insurance}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2015}, Volume = {65}, Pages = {22-29}, Month = {NOV}, Abstract = {Large industrial investments, also called giga-investments, are a risky business and to attract financing they often require project insurance to mitigate risks. Giga-investments have long economic lives and can often steer their markets: information available is non-stochastic, normative, and often imprecise. The type of uncertainty that faces giga-investments is parametric and structural. We use possibility theory as a mathematical framework for modeling giga-investment profitability and based on the profitability models derive a new and intuitive four-step procedure for pricing giga-investment project insurance that is based on creating a pay-out distribution for the giga-investment project insurance contract. We present a set of numerical illustrations of insurance pricing with the new method. (C) 2015 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Collan, M (Corresponding Author), Lappeenranta Univ Technol, Sch Business \& Management, Skinnarilankatu 34, Lappeenranta 53851, Finland. Luukka, Pasi; Collan, Mikael, Lappeenranta Univ Technol, Sch Business \& Management, Lappeenranta 53851, Finland.}, DOI = {10.1016/j.insmatheco.2015.08.002}, ISSN = {0167-6687}, EISSN = {1873-5959}, Keywords = {Insurance pricing; Project insurance; Possibility distribution; Pay-off method; Pay-out distribution; Parametric uncertainty; Structural uncertainty}, Keywords-Plus = {RISK-MANAGEMENT; VARIANCE; OPTIONS}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {mikael.collan@lut.fi}, Affiliations = {Lappeenranta-Lahti University of Technology LUT}, ResearcherID-Numbers = {Collan, Mikael/AAF-6840-2020 Luukka, Pasi/AAA-5199-2019}, ORCID-Numbers = {Collan, Mikael/0000-0003-2976-2829 Luukka, Pasi/0000-0003-0124-6646}, Cited-References = {Amram M., 1999, Real options: managing strategic investment in an uncertain world. {[}Anonymous], TUTORIALS OPERATIONS. {[}Anonymous], GIGA INVESTMENTS MOD. {[}Anonymous], PAY OFF METHOD REINV. {[}Anonymous], 2011, Fuzzy Econ. 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MILLER KD, 1992, J INT BUS STUD, V23, P311, DOI 10.1057/palgrave.jibs.8490270. Ndekugri I, 2013, ENG CONSTR ARCHIT MA, V20, P267, DOI 10.1108/09699981311324005. Nielsen KR, 2006, J MANAGE ENG, V22, P61, DOI {[}10.1061/(ASCE)0742-597X(2006)22:2(61), 10.1061/(asce)0742-597X(2006)22:2(61)]. Orman G.A.E., 2002, INT PROJ MANAG, V9, P131. Perry P., 2013, BUILD DES, V26. Schoffski Lovier, 1999, GENEVA PAP RISK INS, V2, P203. Shapiro AF, 2004, INSUR MATH ECON, V35, P399, DOI 10.1016/j.insmatheco.2004.07.010. Shapiro AF, 2013, INSUR MATH ECON, V53, P864, DOI 10.1016/j.insmatheco.2013.10.007. Wilson D.W., 1997, NAT GAS, P8. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {47}, Times-Cited = {9}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {20}, Journal-ISO = {Insur. Math. Econ.}, Doc-Delivery-Number = {CZ4YT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000367109800004}, DA = {2026-04-14}, } @article{ WOS:000273379600001, Author = {Pap, Endre}, Title = {Decision Making by Hybrid Probabilistic - Possibilistic Utility Theory}, Journal = {PANOECONOMICUS}, Year = {2009}, Volume = {56}, Number = {4}, Pages = {421-433}, Abstract = {It is presented an approach to decision theory based upon nonprobabilistic uncertainty. There is an axiomatization of the hybrid probabilistic-possibilistic mixtures based on a pair of triangular conorm and triangular norm satisfying restricted distributivity law, and the corresponding non-additive S-measure. This is characterized by the families of operations involved in generalized mixtures, based upon a previous result on the characterization of the pair of continuous t-norm and t-conorm such that the former is restrictedly distributive over the latter. The obtained family of mixtures combines probabilistic and idempotent (possibilistic) mixtures via a threshold.}, Publisher = {SAVEZ EKONOMISTA VOJVODINE}, Address = {ZMAJ JOVINA 26-1, NOVI SAD, 21000, SERBIA}, Type = {Article}, Language = {English}, Affiliation = {Pap, E (Corresponding Author), Univ Novi Sad, Dept Math \& Informat, Novi Sad 21000, Serbia. Pap, Endre, Univ Novi Sad, Dept Math \& Informat, Novi Sad 21000, Serbia. Pap, Endre, Acad Sci \& Arts Vojvodina, Novi Sad, Serbia.}, DOI = {10.2298/PAN0904421P}, ISSN = {1452-595X}, EISSN = {2217-2386}, Keywords = {Decision making; Utility theory; Possibilistic mixture; Hybrid probabilistic-possibilistic mixture; Triangular norm; Triangular conorm; Pseudo-additive measure}, Keywords-Plus = {DECOMPOSABLE MEASURES}, Research-Areas = {Business \& Economics}, Web-of-Science-Categories = {Economics}, Author-Email = {pape@eunet.rs}, Affiliations = {University of Novi Sad}, ResearcherID-Numbers = {Pap, Endre/ABG-1402-2020}, Cited-References = {BERTOLUZZA C, 1993, P 2 INT C FUZZ SYST. BILLOT A, 1992, FUZZY SET SYST, V49, P75, DOI 10.1016/0165-0114(92)90111-G. Choquet G., 1954, ANN LINSTITUT FOURIE, V5, P131, DOI {[}DOI 10.5802/AIF.53, 10.5802/aif.53]. COX RT, 1946, AM J PHYS, V14, P1, DOI 10.1119/1.1990764. Denneberg D., 1994, NONADDITIVE MEASURE. Dubois D, 2000, STUD FUZZ SOFT COMP, V51, P51. 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WEBER S, 1984, J MATH ANAL APPL, V101, P114, DOI 10.1016/0022-247X(84)90061-1.}, Number-of-Cited-References = {34}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Panoeconomicus}, Doc-Delivery-Number = {540ZF}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000273379600001}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:A1991KP87700008, Author = {BUCKLEY, JJ}, Title = {UNCERTAIN MULTIOBJECTIVE PROGRAMMING AS A GAME AGAINST NATURE}, Journal = {LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS}, Year = {1991}, Volume = {368}, Pages = {71-77}, Abstract = {We consider a multiobjective linear program whose parameters have uncertain values. We first present a method of modelling the uncertainty, based on t-norms and co-t-norms, which contains possibility theory and probability theory as special cases. We then present a procedure for modelling the decision problem, which is independent of the uncertainty model, based on a game against Nature.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {UNIV ALABAMA, DEPT MATH, BIRMINGHAM, AL 35294 USA.}, ISSN = {0075-8442}, Keywords = {MATHEMATICAL PROGRAMMING; UNCERTAINTY MODELING; GAMES AGAINST NATURE}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Affiliations = {University of Alabama System; University of Alabama Birmingham}, Cited-References = {Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BUCKLEY JJ, 1990, FUZZY SET SYST, V34, P173, DOI 10.1016/0165-0114(90)90156-Z. BUCKLEY JJ, 1990, IN PRESS STOCHASTIC. BUCKLEY JJ, 1989, INTERFACES ARTIFICIA, P13. BUCKLEY JJ, 1990, UNPUB GENERAL THEORY. GEOFFRION AM, 1968, J MATH ANAL APPL, V22, P618, DOI 10.1016/0022-247X(68)90201-1. Luce R.D., 1957, Games and Decisions: Introduction and Critical Survey. Sugeno M., 1974, Theory of fuzzy integrals and its applications. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8].}, Number-of-Cited-References = {10}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Lect. Notes Econ. Math. Syst.}, Doc-Delivery-Number = {KP877}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1991KP87700008}, DA = {2026-04-14}, } @article{ WOS:000324360100005, Author = {Mousavi, S. Meysam and Tavakkoli-Moghaddam, Reza and Jolai, Fariborz}, Title = {A possibilistic programming approach for the location problem of multiple cross-docks and vehicle routing scheduling under uncertainty}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2013}, Volume = {45}, Number = {10}, Pages = {1223-1249}, Month = {OCT 1}, Abstract = {This article considers the design of cross-docking systems under uncertainty in a model that consists of two phases: (1) a strategic-based decision-making process for selecting the location of cross-docks to operate, and (2) an operational-based decision-making process for vehicle routing scheduling with multiple cross-docks. This logistic system contains three echelons, namely suppliers, cross-docks and retailers, in an uncertain environment. In the first phase, a new multi-period cross-dock location model is introduced to determine the minimum number of cross-docks among a set of location sites so that each retailer demand should be met. Then, in the second phase, a new vehicle routing scheduling model with multiple cross-docks is formulated in which each vehicle is able to pickup from or deliver to more than one supplier or retailer, and the pickup and delivery routes start and end at the corresponding cross-dock. This article is the first attempt to introduce an integrated model for cross-docking systems design under a fuzzy environment. To solve the presented two-phase mixed-integer programming (MIP) model, a new fuzzy mathematical programming-based possibilistic approach is used. Furthermore, experimental tests are carried out to demonstrate the effectiveness of the presented model. The computational results reveal the applicability and suitability of the developed fuzzy possibilistic two-phase model in a variety of problems in the domain of cross-docking systems.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Mousavi, SM (Corresponding Author), Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Mousavi, S. Meysam; Tavakkoli-Moghaddam, Reza; Jolai, Fariborz, Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1080/0305215X.2012.729053}, ISSN = {0305-215X}, EISSN = {1029-0273}, Keywords = {possibilistic programming; fuzzy optimization; cross-docking systems; vehicle routing scheduling; location; mixed-integer programming model}, Keywords-Plus = {NETWORK DESIGN; HEURISTICS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {sm.mousavi@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Jolai, Fariborz/B-4406-2012}, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Jolai, Fariborz/0000-0003-0824-8513}, Cited-References = {Alpan G, 2011, COMPUT IND ENG, V61, P402, DOI 10.1016/j.cie.2010.09.010. 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Sung CS, 2008, J OPER RES SOC, V59, P119, DOI 10.1057/palgrave.jors.2602328. Sung CS, 2003, J OPER RES SOC, V54, P1283, DOI 10.1057/palgrave.jors.2601645. Tang SL, 2010, OMEGA-INT J MANAGE S, V38, P192, DOI 10.1016/j.omega.2009.09.001. Vahdani B, 2012, ENG OPTIMIZ, V44, P801, DOI 10.1080/0305215X.2011.613465. Van Belle J, 2012, OMEGA-INT J MANAGE S, V40, P827, DOI 10.1016/j.omega.2012.01.005. Wen M, 2009, J OPER RES SOC, V60, P1708, DOI 10.1057/jors.2008.108. Zhang M, 1998, NETWORK DESIGN LOAD.}, Number-of-Cited-References = {31}, Times-Cited = {40}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {51}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {217LD}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000324360100005}, DA = {2026-04-14}, } @article{ WOS:000343378800006, Author = {Zhang, Peng and Zhang, Wei-Guo}, Title = {Multiperiod mean absolute deviation fuzzy portfolio selection model with risk control and cardinality constraints}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {255}, Pages = {74-91}, Month = {NOV 16}, Abstract = {This paper considers a multiperiod fuzzy portfolio selection problem maximizing the terminal wealth imposed by risk control, in which the returns of assets are characterized by possibilistic mean values. A possibilistic absolute deviation is defined as the risk control of portfolio. A new multiperiod mean absolute deviation fuzzy portfolio selection model with transaction cost, borrowing constraints, threshold constraints and cardinality constraints is proposed. Based on the theory of possibility measure, the proposed model is transformed into a crisp nonlinear programming problem. Because of the transaction cost, the multiperiod portfolio selection is a dynamic optimization problem with path dependence. The discrete approximate iteration method is designed to obtain the optimal portfolio strategy, and is proved convergent. Finally, an example is given to illustrate the behavior of the proposed model and the designed algorithm using real data from the Shanghai Stock Exchange. (c) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, P (Corresponding Author), Wuhan Univ Sci \& Technol, Sch Management, Wuhan 430081, Peoples R China. Zhang, Peng, Wuhan Univ Sci \& Technol, Sch Management, Wuhan 430081, Peoples R China. Zhang, Wei-Guo, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1016/j.fss.2014.07.018}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Multiperiod fuzzy portfolio selection; Mean absolute deviation; Cardinality constraints; The discrete approximate iteration method; Fuzzy number}, Keywords-Plus = {OPTIMIZATION MODEL; VARIANCE MODEL; BANKRUPTCY; ALGORITHM}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {zhangpeng300478@aliyun.com}, Affiliations = {Wuhan University of Science \& Technology; South China University of Technology}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71271161, 71301144]}, Funding-Text = {The authors benefited from helpful comments of the two referees. 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Zhang WG, 2009, KNOWL INF SYST, V18, P311, DOI 10.1007/s10115-008-0133-7. Zhang WG, 2004, APPL MATH COMPUT, V159, P357, DOI 10.1016/j.amc.2003.10.019. Zhu SS, 2004, IEEE T AUTOMAT CONTR, V49, P447, DOI 10.1109/TAC.2004.824474.}, Number-of-Cited-References = {67}, Times-Cited = {68}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {60}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AR1XV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000343378800006}, DA = {2026-04-14}, } @article{ WOS:000372166400007, Author = {Torabi, S. A. and Namdar, J. and Hatefi, S. M. and Jolai, F.}, Title = {An enhanced possibilistic programming approach for reliable closed-loop supply chain network design}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2016}, Volume = {54}, Number = {5, SI}, Pages = {1358-1387}, Month = {MAR 3}, Abstract = {Most of current logistics network design models in the literature typically assume that facilities are always available and absolutely reliable while in practice, they are always subject to several operational and disruption risks. This paper proposes a reliable closed-loop supply chain network design model, which accounts for both partial and complete facility disruptions as well as the uncertainty in the critical input data. The proposed model is of mixed integer possibilistic linear programming type that aims to minimise simultaneously the total cost of opening new facilities and the expected cost of disruption scenarios. An enhanced possibilistic programming approach is proposed to deal with the epistemic uncertainty in input data. Furthermore, the p-robustness criterion is used to limit the cost of disruption scenarios and protect the designed network against random facility disruptions. Several numerical experiments along with sensitivity analyses on uncertain parameters are conducted to illustrate the significance and applicability of the developed model as well as the effectiveness of the proposed solution approach. Our results demonstrate that operational and disruption risks considerably affect the whole structure of the designed network and they must be taken into account when designing a reliable closed-loop logistics network.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Torabi, S. A.; Namdar, J.; Jolai, F., Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Hatefi, S. M., Shahrekord Univ, Fac Engn, Shahrekord, Iran.}, DOI = {10.1080/00207543.2015.1070215}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {p-robustness; possibilistic programming; reliable closed-loop logistics network design; disruption risks}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; FACILITY LOCATION DESIGN; BENDERS DECOMPOSITION; BUSINESS CONTINUITY; GENETIC ALGORITHM; DISRUPTION RISKS; PRODUCT RECOVERY; STOCHASTIC-MODEL; ROBUST; UNCERTAINTY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {satorabi@ut.ac.ir}, Affiliations = {University of Tehran; Shahrekord University}, ResearcherID-Numbers = {Jolai, Fariborz/B-4406-2012 Torabi, S. Ali/E-1078-2018 Namdar, Jafar/Z-4446-2019 Hatefi, Seyed Morteza/ABA-3429-2021}, ORCID-Numbers = {Jolai, Fariborz/0000-0003-0824-8513 Torabi, S. Ali/0000-0002-9764-9679 Hatefi, Seyed Morteza/0000-0003-4450-2080}, Funding-Acknowledgement = {University of Tehran {[}8109920/1/12]}, Funding-Text = {This research was supported by the University of Tehran {[}grant number 8109920/1/12].}, Cited-References = {{[}Anonymous], THEORY PRACTICE UNCE. {[}Anonymous], 1988, POSSIBILITY THEORY, DOI DOI 10.1007/978-1-4684-5287-7. Ben-Tal A, 2000, MATH PROGRAM, V88, P411, DOI 10.1007/PL00011380. Berman O, 2007, OPER RES, V55, P332, DOI 10.1287/opre.1060.0348. Berman O, 2009, DECISION SCI, V40, P845, DOI 10.1111/j.1540-5915.2009.00253.x. Bertsimas D, 2003, MATH PROGRAM, V98, P49, DOI 10.1007/s10107-003-0396-4. Chongvilaivan A., 2011, MANAGING GLOBAL SUPP. Cui TT, 2010, OPER RES, V58, P998, DOI 10.1287/opre.1090.0801. Dekker R., 2004, Reverse Logistics: Quantitative Models for Closed Loop Supply Chains. 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Zhang YM, 2012, ENERGY, V38, P398, DOI 10.1016/j.energy.2011.11.035. Zhang YM, 2010, J AIR WASTE MANAGE, V60, P711, DOI 10.3155/1047-3289.60.6.711.}, Number-of-Cited-References = {63}, Times-Cited = {87}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {78}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {DG6BE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000372166400007}, DA = {2026-04-14}, } @article{ WOS:A1995PZ86600008, Author = {FRENCH, S}, Title = {UNCERTAINTY AND IMPRECISION - MODELING AND ANALYSIS}, Journal = {JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY}, Year = {1995}, Volume = {46}, Number = {1}, Pages = {70-79}, Month = {JAN}, Abstract = {Any statistical analysis or decision analysis contains numerical inputs of which we are unsure. Some of our uncertainty arises from physical randomness which we can model in various ways, ideally through probability. Some uncertainty relates to judgemental estimates of quantities about which we may be unsure in many different respects. There are other uncertainties involved, however: some relate to ambiguity and imprecision of meaning; some relate to lack of clarity in the objectives which the analysis seeks to meet; some relate to the numerical accuracy of calculations. How should the uncertainty arising from ambiguity be modelled? Other uncertainties can also impact on an analysis. Why is the analysis being conducted? Are the objectives clear?}, Publisher = {STOCKTON PRESS}, Address = {HOUNDMILLS, BASINGSTOKE, HANTS, ENGLAND RG21 2XS}, Type = {Article}, Language = {English}, Affiliation = {FRENCH, S (Corresponding Author), UNIV LEEDS,SCH PHYSIOL \& CELL BIOL,DIV OPERAT RES \& INFORMAT,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND.}, ISSN = {0160-5682}, Keywords = {BAYESIAN METHODS; DECISION ANALYSIS; DESCRIPTIVE AND NORMATIVE MODELS; FUZZY SETS AND POSSIBILITY THEORY; MODELING IMPRECISION; PRESCRIPTIVE ANALYSIS; PROBABILITY MODELING; REQUISITE MODELING; SENSITIVITY ANALYSIS}, Keywords-Plus = {DECISION; SENSITIVITY}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Cited-References = {{[}Anonymous], BAYESIAN STAT. Bacharach Michael., 1976, EC THEORY GAMES. Bell D.E., 1988, Decision making: Descriptive, normative, and prescriptive interactions, DOI DOI 10.1017/CBO9780511598951.003. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. 1991, OR MS TODAY 0609.}, Number-of-Cited-References = {38}, Times-Cited = {79}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {5}, Journal-ISO = {J. Oper. Res. Soc.}, Doc-Delivery-Number = {PZ866}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1995PZ86600008}, DA = {2026-04-14}, } @article{ WOS:A1987K548400006, Author = {RAMER, A and LANDER, L}, Title = {CLASSIFICATION OF POSSIBILISTIC UNCERTAINTY AND INFORMATION FUNCTIONS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1987}, Volume = {24}, Number = {2}, Pages = {221-230}, Month = {NOV}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {RAMER, A (Corresponding Author), SUNY BINGHAMTON, THOMAS J WATSON SCH ENGN APPL SCI \& TECHNOL, DEPT COMP SCI, BINGHAMTON, NY 13901 USA.}, DOI = {10.1016/0165-0114(87)90091-1}, ISSN = {0165-0114}, EISSN = {1872-6801}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {{[}Anonymous], INFORMATION THEORY A. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {10}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {K5484}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1987K548400006}, DA = {2026-04-14}, } @article{ WOS:000241947500006, Author = {Nicolas, Pascal and Garcia, Laurent and Stephan, Igor and Lefevre, Claire}, Title = {Possibilistic uncertainty handling for answer set programming}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2006}, Volume = {47}, Number = {1-2}, Pages = {139-181}, Month = {JUN}, Abstract = {In this work, we introduce a new framework able to deal with a reasoning that is at the same time non monotonic and uncertain. In order to take into account a certainty level associated to each piece of knowledge, we use possibility theory to extend the non monotonic semantics of stable models for logic programs with default negation. By means of a possibility distribution we define a clear semantics of such programs by introducing what is a possibilistic stable model. We also propose a syntactic process based on a fix-point operator to compute these particular models representing the deductions of the program and their certainty. Then, we show how this introduction of a certainty level on each rule of a program can be used in order to restore its consistency in case of the program has no model at all. Furthermore, we explain how we can compute possibilistic stable models by using available softwares for Answer Set Programming and we describe the main lines of the system that we have developed to achieve this goal.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Nicolas, P (Corresponding Author), Univ Angers, LERIA, Angers, France. Univ Angers, LERIA, Angers, France.}, DOI = {10.1007/s10472-006-9029-y}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords = {non monotonic reasoning; uncertainty; logic programming; possibility theory; answer set programming}, Keywords-Plus = {LOGIC PROGRAMS; SEMANTICS; KNOWLEDGE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {pascal.nicolas@univ.angers.fr laurent.garcia@univ-angers.fr igor.stephan@univ.angers.fr claire.lefevre@univ-angers.fr}, Affiliations = {Universite d'Angers}, ResearcherID-Numbers = {GARCIA, Laurent/LWK-0530-2024}, Cited-References = {ALSINET T, 2000, C UNC ART INT STANF, P1. Anger C, 2005, LECT NOTES ARTIF INT, V3662, P422, DOI 10.1007/11546207\_39. {[}Anonymous], NEW GENERAT COMPUT. BARAL C, 1994, J LOGIC PROGRAM, V20, P73, DOI 10.1016/0743-1066(94)90025-6. Baral C, 2004, LECT NOTES ARTIF INT, V2923, P21. 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WAGNER G, 1997, INTELLIGENT FUZZY SE. WILSON M, 1993, J LOGIC PROGRAM, V16, P277, DOI 10.1016/0743-1066(93)90046-J. YAGER RR, 1982, HUM SYST MANAGE, V3, P246. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {49}, Times-Cited = {51}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Ann. Math. Artif. Intell.}, Doc-Delivery-Number = {104GS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000241947500006}, DA = {2026-04-14}, } @article{ WOS:000294885600023, Author = {Sakalli, Umit Sami and Baykoc, Omer Faruk}, Title = {An optimization approach for brass casting blending problem under aletory and epistemic uncertainties}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2011}, Volume = {133}, Number = {2}, Pages = {708-718}, Month = {OCT}, Abstract = {A critical process in brass casting is the determination of the materials and their quantities to be added into the blend. The reason of being critical is the uncertainty about metal percentages in scrap raw materials. In this paper, the aleatory and epistemic uncertainties, which are modeled by using probability and possibility theory, respectively, have been handled simultaneously in a blending optimization problem for brass casting and a solution approach that transforms the possibilistic uncertainties into probabilistic ones is proposed. A numerical example is performed by the data supplied from MKE brass factory in Turkey. The results of the example have showed that the proposed approach can be effectively used for solving blending problem including aleatory and epistemic uncertainties in brass casting and other scrap based production process. (C) 2011 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sakalli, ÜS (Corresponding Author), Kirikkale Univ, TR-71451 Kirikkale, Turkey. Sakalli, Umit Sami, Kirikkale Univ, TR-71451 Kirikkale, Turkey. Baykoc, Omer Faruk, Gazi Univ, Dept Ind Engn, TR-06570 Ankara, Turkey.}, DOI = {10.1016/j.ijpe.2011.05.022}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {Blending problem; Uncertainty; Probability/possibility transformation; Brass casting; Optimization}, Keywords-Plus = {FUZZY-SETS; PROBABILITY; MODELS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {ssakalli@gazi.edu.tr baykoc@gazi.edu.tr}, Affiliations = {Kirikkale University; Gazi University}, ResearcherID-Numbers = {SAKALLI, Umit Sami/JPL-1015-2023}, Cited-References = {Abbott J, 2005, J PLAN EDUC RES, V24, P237, DOI 10.1177/0739456X04267710. {[}Anonymous], OPERATIONS RES. {[}Anonymous], GAMS US GUID. APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. ASHAYERI J, 1994, EUR J OPER RES, V72, P460, DOI 10.1016/0377-2217(94)90416-2. 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Spohn W., 1988, CAUSATION DECISION B, VII, P105, DOI {[}DOI 10.1007/978-94-009-2865-7\_6, 10.1007/978-94-009-2865-7\_6]. Taha H., 2006, OPERATIONS RES INTRO, Veighth. Wang RC, 2005, INT J PROD ECON, V98, P328, DOI 10.1016/j.ijpe.2004.09.011. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {34}, Times-Cited = {15}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {18}, Journal-ISO = {Int. J. Prod. Econ.}, Doc-Delivery-Number = {820DL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000294885600023}, DA = {2026-04-14}, } @article{ WOS:000460376000017, Author = {Fazli-Khalaf, Mohamadreza and Fathollahzadeh, Karo and Mollaei, Amir and Naderi, Bahman and Mohammadi, Mohammad}, Title = {A ROBUST POSSIBILISTIC PROGRAMMING MODEL FOR WATER ALLOCATION PROBLEM}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2019}, Volume = {53}, Number = {1}, Pages = {323-338}, Month = {JAN-MAR}, Abstract = {Over the past few years, water allocation problem has increasingly spotlighted by governments, researchers and practitioners. As water plays an important role in people's life and business environment, the problem of water allocation should be considered carefully to properly satisfy demand of water consumers. In the real world applications, problems like water allocation are uncertain owing to long-term planning horizon of such problems. Therefore, employing efficient methods for tackling uncertainty of parameters should be regarded by field researchers. In this regard, this paper proposes a bi-objective mathematical programming model for water distribution network design. The extended model maximizes total profit of water distribution as well as maximizing priority of water transferring among water customer zones. Then, to cope effectively with uncertainty of parameters, a novel robust possibilistic programming method is applied. Then, fuzzy and robust fuzzy programming models are compared against each other and output results confirm superiority and effective performance of the robust fuzzy model in the water allocation problem. Also, output results of the extended model show its accurate performance that results in applicability of the model as a strong planning tool in real world cases.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Naderi, B (Corresponding Author), Kharazmi Univ, Dept Ind Engn, Fac Engn, Tehran, Iran. Fazli-Khalaf, Mohamadreza; Fathollahzadeh, Karo; Mollaei, Amir; Naderi, Bahman; Mohammadi, Mohammad, Kharazmi Univ, Dept Ind Engn, Fac Engn, Tehran, Iran.}, DOI = {10.1051/ro/2018058}, ISSN = {0399-0559}, EISSN = {1290-3868}, Keywords = {Water allocation problem; uncertainty; robust possibilistic programming}, Keywords-Plus = {SUPPLY CHAIN NETWORK; OPTIMIZATION MODEL; FUZZY; DESIGN; UNCERTAINTY; MANAGEMENT; DEMAND; RESOURCES}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {bahman.naderi@khu.ac.ir}, Affiliations = {Kharazmi University}, ResearcherID-Numbers = {Mohammadi, Mohammad/AAB-2718-2020}, ORCID-Numbers = {Fazli-Khalaf, Mohamaeza/0000-0002-1749-6853 Mohammadi, Mohammad/0000-0002-3655-2742}, Cited-References = {Badri H, 2017, TRANSPORT RES E-LOG, V105, P1, DOI 10.1016/j.tre.2017.06.012. Ben-Tal A, 2008, MATH PROGRAM, V112, P125, DOI 10.1007/s10107-006-0092-2. 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Saif Y, 2014, DESALINATION, V351, P184, DOI 10.1016/j.desal.2014.07.037. Shi B, 2014, APPL MATH MODEL, V38, P5502, DOI 10.1016/j.apm.2014.04.005. Shibu A, 2014, WATER RESOUR MANAG, V28, P4075, DOI 10.1007/s11269-014-0728-6. Soleimani H, 2017, COMPUT IND ENG, V109, P191, DOI 10.1016/j.cie.2017.04.038. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Tsakiris G, 2014, WATER UTIL J, V8, P5. Vahdani B, 2013, ENG OPTIMIZ, V45, P745, DOI 10.1080/0305215X.2012.704029. Watkins D. W. Jr., 2000, International Transactions in Operational Research, V7, P211, DOI 10.1111/j.1475-3995.2000.tb00195.x. Xu Y, 2014, ENVIRON ENG SCI, V31, P556, DOI 10.1089/ees.2014.0011. Yang DY, 2017, J CLEAN PROD, V149, P1174, DOI 10.1016/j.jclepro.2017.02.138.}, Number-of-Cited-References = {49}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {15}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {HN7MX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000460376000017}, DA = {2026-04-14}, } @article{ WOS:001268704400001, Author = {Akhondi-Bajegani, Esmaeil and Jolai, F. and Torabi, S. Ali}, Title = {A new mathematical model for designing and improving the performance of a home health care logistics network}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2024}, Volume = {340}, Number = {2-3}, Pages = {1189-1220}, Month = {SEP}, Abstract = {To provide better care for the elderly, health trustees establish home health care centers in cities. These centers offer services at homes, and a logistics network is essential for providing these services. An integrated framework is developed to design such a network by which various logistical decisions are made under inherent epistemic uncertainty of the travel and service times. A new mixed integer linear programming model is developed, and its equivalent deterministic formulation is obtained using a well-applied possibilistic programming approach. An improved genetic algorithm is also devised to solve large-sized instances and various sensitivity analyses are performed on key factors. Finally, a case study is presented to validate the developed model and its solution method. The numerical results demonstrate 20\% reduction in the total time of employing care givers at almost 3.5\% cost savings.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Jolai, F (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Akhondi-Bajegani, Esmaeil; Jolai, F.; Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1007/s10479-024-06135-w}, EarlyAccessDate = {JUL 2024}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Home health care; Network design; Possibilistic programming; Improved genetic algorithm}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {fjolai@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Torabi, S./E-1078-2018 Jolai, Fariborz/B-4406-2012}, ORCID-Numbers = {Jolai, Fariborz/0000-0003-0824-8513}, Funding-Text = {The authors express their sincere gratitude to the personnel of the Salar-Salamat-Isatis Company in Yazd for their cooperation.}, Cited-References = {Abdi A, 2021, INT J SYST SCI-OPER, V8, P23, DOI 10.1080/23302674.2019.1610197. Albadr MA, 2020, SYMMETRY-BASEL, V12, DOI 10.3390/sym12111758. Arabzadeh E, 2016, NURS PRACT TOD-IRAN, V3, P140. 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Ziya-Gorabi F, 2022, EXPERT SYST APPL, V201, DOI 10.1016/j.eswa.2022.117093.}, Number-of-Cited-References = {52}, Times-Cited = {1}, Usage-Count-Last-180-days = {5}, Usage-Count-Since-2013 = {24}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {E4M8W}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001268704400001}, DA = {2026-04-14}, } @article{ WOS:000299985400002, Author = {Voskoglou, M.}, Title = {MEASURING STUDENTS MODELING CAPACITIES: A FUZZY APPROACH}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2011}, Volume = {8}, Number = {3}, Pages = {23-33}, Month = {OCT}, Abstract = {A central aim of educational research in the area of mathematical modeling and applications is to recognize the attainment level of students at defined states of the modeling process. In this paper, we introduce principles of fuzzy sets theory and possibility theory to describe the process of mathematical modeling in the classroom. The main stages of the modeling process are represented as fuzzy sets in a set of linguistic labels indicating the degree of a student's success in each of these stages. We use the total possibilistic uncertainty on the ordered possibility distribution of all student profiles as a measure of the students' modeling capacities and illustrate our results by application to a classroom experiment.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Voskoglou, M (Corresponding Author), Sch Technol Application, Grad Technol Educ Inst TEI, Patras 26334, Greece. Sch Technol Application, Grad Technol Educ Inst TEI, Patras 26334, Greece.}, ISSN = {1735-0654}, Keywords = {Fuzzy relations; Possibility theory; Measures of uncertainty; Mathematical modeling}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {voskoglou@teipat.gr}, ResearcherID-Numbers = {Voskoglou, Michael/C-4504-2014}, Cited-References = {Ajello M., 2002, P INT C MATH ED 21 C, P35. {[}Anonymous], MODELING STUDENTS MA. {[}Anonymous], INT J MATH ED SCI TE. Doerr HM, 2007, NEW ICMI STUD SER, V10, P69. Espin E. A., 1997, P 1 MED C MATH ED NI, P107. Ferri R.Borromeo., 2007, Mathematical modelling (ICTMA12): Education, engineering and economics, P260. Galbraith P.L., 2001, Modelling and mathematics education, ICTMA 9: Applications in science and technology icinde s, P300. Huang HL, 2009, IRAN J FUZZY SYST, V6, P1. Iliadis L, 2010, IRAN J FUZZY SYST, V7, P1. Javadian N, 2009, IRAN J FUZZY SYST, V6, P17. 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Syst.}, Doc-Delivery-Number = {888EA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000299985400002}, DA = {2026-04-14}, } @article{ WOS:A1988M525600002, Author = {DOWLATSHAHI, F and KOHOUT, LJ}, Title = {INTENTIONAL POSSIBILISTIC APPROACH TO DEALING WITH INCOMPLETENESS, VAGUENESS AND UNCERTAINTY}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1988}, Volume = {25}, Number = {3}, Pages = {277-295}, Month = {MAR}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {DOWLATSHAHI, F (Corresponding Author), BRUNEL UNIV W LONDON,DEPT ELECT ENGN \& ELECTR,DIV CYBERNET,UXBRIDGE UB8 3PH,MIDDX,ENGLAND. BRUNEL UNIV W LONDON,DEPT COMP SCI,UXBRIDGE UB8 3PH,MIDDX,ENGLAND. FLORIDA STATE UNIV,INST EXPERT SYST \& ROBOT,TALLAHASSEE,FL 32306.}, DOI = {10.1016/0165-0114(88)90016-4}, ISSN = {0165-0114}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Brunel University; State University System of Florida; Florida State University}, Cited-References = {BANDLER W, 1985, INT J MAN MACH STUD, V22, P347, DOI 10.1016/S0020-7373(85)80008-0. BANDLER W, 1982, 2ND P WORLD C MATH S, P123. BANDLER W, 1988, IN PRESS FUZZY SETS. BANDLER W, 1983, THESIS BRUNEL U. BANDLER W, 1984, CYBERNETICS SYSTEMS, P97. BANDLER W, 1987, INT ENCY SYSTEMS CON. DOWLATSHAHI F, 1982, INCOMPLETENESS VAGUE. DOWLATSHAHI F, 1982, PERSPECTIVES DEGRESS. DOWLATSHAHI F, 1987, THESIS BRUNEL U. GAINES BR, 1977, INT J MAN MACH STUD, V9, P1, DOI 10.1016/S0020-7373(77)80042-4. Kallala M., 1986, Recent Developments in the Theory and Applications of Fuzzy Sets. 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ZADEH LA, 1962, P IRE, V50, P856, DOI 10.1109/JRPROC.1962.288302.}, Number-of-Cited-References = {21}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {M5256}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1988M525600002}, DA = {2026-04-14}, } @article{ WOS:000308903700005, Author = {Quaeghebeur, Erik and Shariatmadar, Keivan and de Cooman, Gert}, Title = {Constrained optimization problems under uncertainty with coherent lower previsions}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2012}, Volume = {206}, Pages = {74-88}, Month = {NOV 1}, Abstract = {We investigate a constrained optimization problem with uncertainty about constraint parameters. Our aim is to reformulate it as a (constrained) optimization problem without uncertainty. This is done by recasting the original problem as a decision problem under uncertainty. We give results for a number of different types of uncertainty models-linear and vacuous previsions, and possibility distributions-and for two common but different optimality criteria for such decision problems-maximinity and maximality. We compare our approach with other approaches that have appeared in the literature. (c) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Quaeghebeur, E (Corresponding Author), Univ Ghent, SYST Res Grp, EESA Dept, Fac Engn \& Architecture, Technol Pk Zwijnaarde 914, B-9052 Ghent, Belgium. Quaeghebeur, Erik; Shariatmadar, Keivan; de Cooman, Gert, Univ Ghent, SYST Res Grp, EESA Dept, Fac Engn \& Architecture, B-9052 Ghent, Belgium.}, DOI = {10.1016/j.fss.2012.02.004}, ISSN = {0165-0114}, Keywords = {Constrained optimization; Maximinity; Maximality; Coherent lower prevision; Linear prevision; Vacuous prevision; Possibility distribution}, Keywords-Plus = {NUMERICAL POSSIBILITY THEORY; BEHAVIORAL-MODEL; DECISION-MAKING; FUZZY; PROBABILITIES}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Erik.Quaeghebeur@UGent.be Keivan.Shariatmadar@UGent.be Gert.deCooman@UGent.be}, Affiliations = {Ghent University}, ResearcherID-Numbers = {De Cooman, Gert/E-3997-2015 Quaeghebeur, Erik/U-6568-2019 Shariatmadar, Keivan/Y-4812-2019}, ORCID-Numbers = {De Cooman, Gert/0000-0002-0469-1422 Quaeghebeur, Erik/0000-0003-1462-401X Shariatmadar, Keivan/0000-0002-7364-5382}, Funding-Acknowledgement = {Fellowship of the Belgian American Educational Foundation; IWT SBO project {[}60043]}, Funding-Text = {During part of his research on this topic, Erik Quaeghebeur was supported by a Fellowship of the Belgian American Educational Foundation. This research was supported by the IWT SBO project 60043, ``Fuzzy Finite Element Method{''}. We wish to thank the area editor for extensive and useful comments, suggestions, and pointers to the related literature and the reviewers for pointing out where the exposition could be clarified. We also wish to thank Nathan Huntley for alerting us to the possibility of interpretational issues arising when moving uncertainty from the objective function to the constraints.}, Cited-References = {{[}Anonymous], 1988, Theorie des possibilites : applications a la representation des connaissances en informatique. {[}Anonymous], P 9 INT C IPMU 2002. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {29}, Times-Cited = {12}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {007QR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000308903700005}, OA = {Green Submitted, Green Accepted}, DA = {2026-04-14}, } @article{ WOS:000087126300011, Author = {Tanaka, H and Guo, PJ and Zimmermann, HJ}, Title = {Possibility distributions of fuzzy decision variables obtained from possibilistic linear programming problems}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2000}, Volume = {113}, Number = {2}, Pages = {323-332}, Month = {JUL 16}, Abstract = {In this paper, several kinds of possibility distributions of fuzzy variables are studied in possibilistic linear programming problems to reflect the inherent fuzziness in fuzzy decision problems. Interval and triangular possibility distributions are used to express the non-interactive cases between the fuzzy decision variables, and exponential possibility distributions are used to represent the interrelated cases. Possibilistic linear programming problems based on exponential possibility distributions become non-linear optimization problems. In order to solve optimization problems easily, algorithms for obtaining center vectors and distribution matrices in sequence are proposed. By the proposed algorithms, the possibility distribution of fuzzy decision variables can be obtained. (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tanaka, H (Corresponding Author), Osaka Prefecture Univ, Dept Ind Engn, Gakuencho 1-1, Sakai, Osaka 593, Japan. Osaka Prefecture Univ, Dept Ind Engn, Sakai, Osaka 593, Japan. Rhein Westfal TH Aachen, Lehrstuhl Unternehmensforsch, D-52062 Aachen, Germany.}, DOI = {10.1016/S0165-0114(98)00463-1}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {interval variable; triangular possibility distribution; exponential possibility distribution; fuzzy decision variable; possibilistic linear programming}, Keywords-Plus = {EXPONENTIAL POSSIBILITY DISTRIBUTIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Osaka Metropolitan University; RWTH Aachen University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, ORCID-Numbers = {Guo, Peijun/0000-0001-9841-1673}, Cited-References = {CELMINS A, 1987, FUZZY SET SYST, V22, P245, DOI 10.1016/0165-0114(87)90070-4. Dubois D., 1988, POSSIBILITY THEORY. Guo PJ, 1996, SOFT COMPUTING IN INTELLIGENT SYSTEMS AND INFORMATION PROCESSING, P278, DOI 10.1109/AFSS.1996.583604. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {13}, Times-Cited = {89}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {315RG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000087126300011}, DA = {2026-04-14}, } @article{ WOS:000311807600008, Author = {Lodwick, Weldon A.}, Title = {An overview of flexibility and generalized uncertainty in optimization}, Journal = {COMPUTATIONAL \& APPLIED MATHEMATICS}, Year = {2012}, Volume = {31}, Number = {3}, Pages = {569-589}, Abstract = {Two new powerful mathematical languages, fuzzy set theory and possibility theory, have led to two optimization types that explicitly incorporate data whose values are not real-valued nor probabilistic: 1) flexible optimization and 2) optimization under generalized uncertainty. Our aim is to make clear what these two types are, make distinctions, and show how they can be applied. Flexible optimization arises when it is necessary to relax the meaning of the mathematical relation of belonging to a set (a constraint set in the context of optimization). The mathematical language of relaxed set belonging is fuzzy set theory. Optimization under generalized uncertainty arises when it is necessary to represent parameters of a model whose values are only known partially or incompletely. A natural mathematical language for the representation of partial or incomplete information about the value of a parameter is possibility theory. Flexible optimization, as delineated here, includes much of what has been called fuzzy optimization whereas optimization under generalized uncertainty includes what has been called possibilistic optimization. We explore why flexible optimization and optimization under generalized uncertainty are distinct and important types of optimization problems. Possibility theory in the context of optimization leads to two distinct types of optimization under generalized uncertainty, single distribution and dual distribution optimization. Dual (possibility/necessity pairs) distribution optimization is new.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Lodwick, WA (Corresponding Author), Univ Colorado, Dept Math \& Stat Sci, Campus Box 170,POB 173364, Denver, CO 80217 USA. Univ Colorado, Dept Math \& Stat Sci, Denver, CO 80217 USA.}, DOI = {10.1590/S1807-03022012000300008}, ISSN = {2238-3603}, EISSN = {1807-0302}, Keywords = {fuzzy optimization; possibility optimization; interval analysis; generalized uncertainty}, Keywords-Plus = {INTERVAL-VALUED PROBABILITY; PROGRAMMING-PROBLEMS; FUZZY; MIXTURE}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {Weldon.Lodwick@ucdenver.edu}, Affiliations = {University of Colorado System; University of Colorado Denver}, Funding-Acknowledgement = {FAPESP {[}2011/13985-0]; Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) {[}11/13985-0] Funding Source: FAPESP}, Funding-Text = {This work has been supported by FAPESP under the grant No. 2011/13985-0.}, Cited-References = {{[}Anonymous], SCI COMPUTING VALIDA. {[}Anonymous], THESIS U COLORADO. {[}Anonymous], DECISION MAKING PROC. {[}Anonymous], IFSA EUSFLAT P LISB. {[}Anonymous], P 10 IEEE INT C FUZZ. {[}Anonymous], 138 CCM. {[}Anonymous], PPS SYSTEME GRUNDLAN. {[}Anonymous], 2006 C N AM FUZZ INF. {[}Anonymous], THESIS UCD DEP MATH. {[}Anonymous], 2000, The Handbooks of Fuzzy Sets. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {38}, Times-Cited = {10}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Comput. Appl. Math.}, Doc-Delivery-Number = {047AJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000311807600008}, OA = {Green Published, Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000974301600001, Author = {Guillaume, Romain and Kasperski, Adam and Zielinski, Pawel}, Title = {Distributionally robust possibilistic optimization problems}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {454}, Pages = {56-73}, Month = {FEB 28}, Abstract = {In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is used to model imprecise probabilities. In one of interpretation, a possibility distribution (a membership function of a fuzzy set) in the set of coefficient realizations induces a necessity measure, which in turn defines a family of probability distributions in this set. The distributionally robust approach is then used to transform the imprecise constraints into deterministic counterparts. Namely, the uncertain left-hand side of each constraint is replaced with the expected value with respect to the worst probability distribution that can occur. It is shown how to represent the resulting problem by using linear or second-order cone constraints. This leads to problems which are computationally tractable for a wide class of optimization models, in particular for linear programming. (c) 2022 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kasperski, A (Corresponding Author), Wroclaw Univ Sci \& Technol, Wroclaw, Poland. Guillaume, Romain, Univ Toulouse, IRIT Toulouse, Toulouse, France. Kasperski, Adam; Zielinski, Pawel, Wroclaw Univ Sci \& Technol, Wroclaw, Poland.}, DOI = {10.1016/j.fss.2022.05.007}, EarlyAccessDate = {JAN 2023}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Robust optimization; Possibility theory; Imprecise probabilities; Fuzzy intervals}, Keywords-Plus = {UNCERTAINTY; INTERVAL; DUALITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {romain.guillaume@irit.fr adam.kasperski@pwr.edu.pl pawel.zielinski@pwr.edu.pl}, Affiliations = {Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Wroclaw University of Science \& Technology}, ResearcherID-Numbers = {Kasperski, Adam/A-1013-2008 Zielinski, Pawel/H-2463-2011 }, ORCID-Numbers = {Zielinski, Pawel/0000-0002-1466-2887 guillaume, romain/0000-0003-4978-630X}, Cited-References = {Baudrit C, 2006, COMPUT STAT DATA AN, V51, P86, DOI 10.1016/j.csda.2006.02.009. 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In this paper cognitive uncertainties involved in classification problems are explicitly represented, measured, and incorporated into the knowledge induction process. A fuzzy decision tree induction method, which is based on the reduction of classification ambiguity with fuzzy evidence, is developed. Fuzzy decision trees represent classification knowledge more naturally to the way of human thinking and are more robust in tolerating imprecise, conflict, and missing information.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {YUAN, YF (Corresponding Author), MCMASTER UNIV, MICHAEL G DEGROOTE SCH BUSINESS, HAMILTON, ON L8S 4M4, CANADA. UNIV ILLINOIS, BECKMAN INST ADV SCI \& TECHNOL, URBANA, IL USA.}, DOI = {10.1016/0165-0114(94)00229-Z}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {POSSIBILITY THEORY; MEASURES OF INFORMATION; EXPERT SYSTEMS; KNOWLEDGE ACQUISITION AND LEARNING}, Keywords-Plus = {UNCERTAINTY; SYSTEMS; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {University of Illinois System; University of Illinois Urbana-Champaign}, ResearcherID-Numbers = {YUAN, YINGFANG/LCD-9628-2024}, Cited-References = {CHANG RLP, 1977, IEEE T SYST MAN CYB, V7, P28, DOI 10.1109/TSMC.1977.4309586. CIOS KJ, 1992, MAR P IEEE INT C FUZ, P469. CIVANLAR MR, 1986, FUZZY SET SYST, V18, P1, DOI 10.1016/0165-0114(86)90024-2. DELUCA A, 1972, INFORM CONTROL, V20, P301, DOI 10.1016/S0019-9958(72)90199-4. GUPTA MM, 1991, FUZZY SET SYST, V40, P409, DOI 10.1016/0165-0114(91)90169-Q. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {28}, Times-Cited = {602}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {51}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {QJ761}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1995QJ76100004}, DA = {2026-04-14}, } @article{ WOS:000768028600003, Author = {Aghababaei, Bahareh and Pishvaee, Mir Saman and Barzinpour, Farnaz}, Title = {A fuzzy bi-level programming approach to scarce drugs supply and ration planning problem under risk}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2022}, Volume = {434}, Number = {SI}, Pages = {48-72}, Month = {APR 30}, Abstract = {In this paper, a possibilistic bi-objective bi-level programming model is proposed to optimize the management of scarce drugs supply and rationing under difficult situations such as COVID-19 outbreak. Multiple followers and single leader exist in the proposed Stackelberg model in which the followers are divided into two groups, manufacturers and suppliers. The first group has priority over the latter. The competition between these two groups is addressed using a lexicographical procedure. Moreover, the interaction between the individuals in each group is incorporated through a normalized Nash equilibrium. To avoid the discriminative allocations, the disability-adjusted life years (DALY) index is employed to improve the rationing process. Due to the significance of uncertainty in such a problem, a novel risk-based possibilistic expected value approach is devised to control the mean and risk values of the objective functions. Finally, to validate the proposed solution method, the model is solved by applying Karush-Kuhn-Tucker (KKT) conditions and using the data extracted from a real case study. The results reveal the applicability and usefulness of the proposed possibilistic model compared to the conventional possibilistic approach (c) 2021 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, DOI = {10.1016/j.fss.2021.02.021}, EarlyAccessDate = {MAR 2022}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy mathematical programming; Scarce resources allocation; Bi-level programming; Pricing; Possibilistic programming; Multi-objective optimization; COVID-19}, Keywords-Plus = {CHAIN NETWORK DESIGN; PORTFOLIO SELECTION; GLOBAL BURDEN; HEALTH-CARE; MODEL; ALLOCATION; PRIORITIZATION; OPTIMIZATION; INJURIES; DISEASES}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {pishvaee@iust.ac.ir}, ResearcherID-Numbers = {Barzinpour, Farnaz/P-3480-2018 Pishvaee, Mir/H-3450-2018}, ORCID-Numbers = {Barzinpour, Farnaz/0000-0001-9692-4432 }, Cited-References = {Aghaei J, 2011, APPL SOFT COMPUT, V11, P3846, DOI 10.1016/j.asoc.2011.02.022. {[}Anonymous], 2015, PROT GLOB BURD DIS I. {[}Anonymous], 2015, ETHICAL ISSUES ANEST. {[}Anonymous], 2017, HLTH CARE MANAGE SCI. {[}Anonymous], APPL GOAL PROGRAMMIN. 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Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023.}, Number-of-Cited-References = {66}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {23}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {ZR8LF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000768028600003}, DA = {2026-04-14}, } @article{ WOS:000691786300006, Author = {Gunay, Elif Elcin and Kremer, Gul E. Okudan and Zarindast, Atousa}, Title = {A multi-objective robust possibilistic programming approach to sustainable public transportation network design}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2021}, Volume = {422}, Number = {SI}, Pages = {106-129}, Month = {OCT 15}, Abstract = {As a critical component of sustainable development, a transportation system should be designed such that it has a positive impact on the economic, environmental, and social sustainability of the served region. In response, this study introduces the concept of passenger dissatisfaction with additional walking and waiting as an indicator of social sustainability and uses the concept while optimizing the transit network for economic, environmental, and social perfectives. Due to a lack of knowledge about the actual value of different passenger dissatisfaction levels and uncertainty in demand, a multi-objective robust possibilistic programming approach (RPP{*}) is proposed and solved by using an interactive fuzzy programming approach. Different from other robust possibilistic approaches, RPP{*} optimizes not only the mean of the objective function and chance constraint violations but also the risk value inherited by uncertain parameters through considering the absolute deviation of the objective function. Both the advantage of RPP{*} versus the deterministic model and its superiority against several robust possibilistic approaches are demonstrated in the numerical studies. Furthermore, the outcomes of the numerical study demonstrate that the transportation network should be designed in a decentralized way as the risk coefficients, i.e., risk-taking attitude, increase. (C) 2020 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Günay, EE (Corresponding Author), Sakarya Univ, Dept Ind Engn, TR-54050 Sakarya, Turkey. Gunay, Elif Elcin; Kremer, Gul E. Okudan; Zarindast, Atousa, Iowa State Univ, Dept Ind \& Mfg Syst Engn, Ames, IA 50011 USA. Gunay, Elif Elcin, Sakarya Univ, Dept Ind Engn, TR-54050 Sakarya, Turkey.}, DOI = {10.1016/j.fss.2020.09.007}, EarlyAccessDate = {AUG 2021}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {System design; Robust possibilistic programming; Sustainable transit network planning; Diversity in sustainability beliefs; Perceived satisfaction}, Keywords-Plus = {TRANSIT SERVICE; MEAN-VALUE; SATISFACTION; MODEL; NECESSITY; OPERATION; QUALITY; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {ekabeloglu@sakarya.edu.tr gkremer@iastate.edu atousaz@iastate.edu}, Affiliations = {Iowa State University; Sakarya University}, ResearcherID-Numbers = {Gunay, Elcin/ABG-2604-2020 }, ORCID-Numbers = {Gunay, Elcin/0000-0002-4464-8779 Okudan Kremer, Gül/0000-0001-8070-825X}, Funding-Acknowledgement = {Therkildsen Chair funds}, Funding-Text = {The research presented in the paper was supported by Therkildsen Chair funds to G.E. Okudan Kremer, who conceived the project, contributed to modeling and managed the project. Elif Elgin Gunay led the modeling and designed the solution approaches implemented. Atousa Zarindast contributed to modeling, and led the literature.}, Cited-References = {Amirgholy M, 2017, TRANSPORT RES E-LOG, V103, P261, DOI 10.1016/j.tre.2017.03.006. An K, 2015, TRANSP RES PROC, V7, P300, DOI 10.1016/j.trpro.2015.06.016. ANDERSON RE, 1973, J MARKETING RES, V10, P38, DOI 10.2307/3149407. Babazadeh R, 2017, OMEGA-INT J MANAGE S, V66, P258, DOI 10.1016/j.omega.2015.12.010. Bairamzadeh S, 2016, IND ENG CHEM RES, V55, P237, DOI 10.1021/acs.iecr.5b02875. Bamberg S, 2007, J ENVIRON PSYCHOL, V27, P190, DOI 10.1016/j.jenvp.2007.04.001. Barth M., 2005, Development of a Heavy-Duty Diesel Modal Emissions and Fuel Consumption Model. Behbahani H, 2019, TRANSPORT RES A-POL, V125, P171, DOI 10.1016/j.tra.2018.04.005. Beirao G, 2007, TRANSPORT POLICY, V14, P478, DOI 10.1016/j.tranpol.2007.04.009. 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Zhang P, 2014, FUZZY SET SYST, V255, P74, DOI 10.1016/j.fss.2014.07.018.}, Number-of-Cited-References = {50}, Times-Cited = {26}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {20}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {UK2DU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000691786300006}, DA = {2026-04-14}, } @article{ WOS:001655590900001, Author = {Li, Guijie and Zhan, Yang and Xue, Huimin}, Title = {The uncertainty importance measure analysis for fuzzy structural systems based on possibilistic variance}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2026}, Volume = {529}, Month = {APR 15}, Abstract = {To effectively characterize the effects of fuzzy uncertainties on structural systems, this study introduces a novel importance measure termed Possibilistic Variance-based Importance Measure (PVB-IM). By leveraging the High Dimensional Model Representation (HDMR) of the function, we extend the decomposition equation for fuzzy structural systems to establish the PVB-IM. This approach enables the identification of effects of fuzzy variables on system response within fuzzy uncertainties, thereby facilitating the design and optimization for such structural systems. We present a fundamental computational algorithm for PVB-IM using Monte Carlo simulation and propose an efficient algorithm based on the State Dependent Parameter (SDP) method for addressing complex engineering challenges. Through numerical and engineering examples, we validate the applicability and rationale of the PVB-IM, and demonstrate the accuracy and efficiency of the SDP algorithm.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Li, GJ (Corresponding Author), Dalian Univ Technol, Sch Mech \& Aerosp Engn, Dalian 116024, Peoples R China. Li, GJ (Corresponding Author), Dalian Univ Technol, Key Lab Adv Technol Aerosp Vehicles Liaoning Prov, Dalian 116024, Peoples R China. Li, Guijie; Zhan, Yang, Dalian Univ Technol, Sch Mech \& Aerosp Engn, Dalian 116024, Peoples R China. Li, Guijie; Zhan, Yang, Dalian Univ Technol, Key Lab Adv Technol Aerosp Vehicles Liaoning Prov, Dalian 116024, Peoples R China. Xue, Huimin, Shenyang Aircraft Design \& Res Inst, Shenyang 110035, Peoples R China.}, DOI = {10.1016/j.fss.2025.109743}, EarlyAccessDate = {DEC 2025}, Article-Number = {109743}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy uncertainty; Possibilistic mean value; Possibilistic variance; Importance measure; Monte Carlo simulation; State dependent parameter}, Keywords-Plus = {INDEPENDENT IMPORTANCE MEASURE; GLOBAL SENSITIVITY-ANALYSIS; MATHEMATICAL-MODELS; MEAN-VALUE; RELIABILITY; OPTIMIZATION; VARIABLES; INTERVAL; DESIGN}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {ligj@dlut.edu.cn}, Affiliations = {Dalian University of Technology; Dalian University of Technology}, Funding-Acknowledgement = {Science Challenge Project {[}TZ2025001]; National Natural Science Foundation of China; NSFC {[}52275143]}, Funding-Text = {This work was supported by Science Challenge Project (No. TZ2025001) and the National Natural Science Foundation of China (Grant No. NSFC 52275143) .}, Cited-References = {Borgonovo E, 2007, RELIAB ENG SYST SAFE, V92, P771, DOI 10.1016/j.ress.2006.04.015. 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Zhang XB, 2020, AEROSP SCI TECHNOL, V107, DOI 10.1016/j.ast.2020.106320.}, Number-of-Cited-References = {44}, Times-Cited = {0}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AS3IY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001655590900001}, DA = {2026-04-14}, } @article{ WOS:A1987K548400005, Author = {KLIR, GJ and MARIANO, M}, Title = {ON THE UNIQUENESS OF POSSIBILISTIC MEASURE OF UNCERTAINTY AND INFORMATION}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1987}, Volume = {24}, Number = {2}, Pages = {197-219}, Month = {NOV}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {KLIR, GJ (Corresponding Author), SUNY BINGHAMTON, THOMAS J WATSON SCH ENGN APPL SCI \& TECHNOL, DEPT SYST SCI, BINGHAMTON, NY 13901 USA.}, DOI = {10.1016/0165-0114(87)90090-X}, ISSN = {0165-0114}, EISSN = {1872-6801}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {ACZEL J, 1975, MEASURES INFORMATION. {[}Anonymous], 1985, Theorie des possibilites. {[}Anonymous], INFORMATION THEORY A. 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ZADEH LA, 1973, IEEE T SYST MAN CYB, VSMC3, P28, DOI 10.1109/TSMC.1973.5408575. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {52}, Times-Cited = {55}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {K5484}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1987K548400005}, DA = {2026-04-14}, } @article{ WOS:000222368700017, Author = {Sugihara, K and Ishii, H and Tanaka, H}, Title = {Interval priorities in AHP by interval regression analysis}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2004}, Volume = {158}, Number = {3}, Pages = {745-754}, Month = {NOV 1}, Abstract = {This paper proposes an interval approach for obtaining interval weights of priorities in the analytic hierarchy process (AHP) reflecting inconsistency of pairwise comparison ratios given by a decision maker. Even if pairwise comparison values with respect to preference are given as crisp values, the priority weights should be estimated as intervals because of a decision maker's uncertainty of judgments. We deal with two types of comparison matrices represented as crisp and interval elements. This allows some uncertainty of estimations made by a decision maker. The proposed approach can obtain the estimated interval priorities. Since interval regression analysis is based on the concept of possibility, the interval weights obtained by the proposed method can be interpreted as the possible ranges estimated from the given data. The sum of widths of the obtained intervals can be regarded as the degree of inconsistency included in the given data. It is emphasized that interval data of preference can obtain the lower and upper models for the estimated weight intervals. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sugihara, K (Corresponding Author), Univ Fukui, Dept Management Sci, Gakuencho 3-6-1, Fukui 9108505, Japan. Osaka Univ, Grad Sch Engn, Dept Appl Phys, Suita, Osaka 5650871, Japan. Osaka Univ, Dept Informat \& Phys Sci, Grad Sch Informat Sci \& Technol, Suita, Osaka 5650871, Japan. Hiroshima Int Univ, Fac Human \& Social Environm, Dept Kansei Informat, Hiroshima 7240695, Japan.}, DOI = {10.1016/S0377-2217(03)00418-1}, ISSN = {0377-2217}, Keywords = {decision support systems; AHP; interval analysis; possibilistic regression; rough sets}, Keywords-Plus = {ANALYTIC HIERARCHY PROCESS; PREFERENCE; UNCERTAINTY; DERIVATION}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {sugihara@ccmails.fukui-ut.ac.jp}, Affiliations = {University of Osaka; University of Osaka; Hiroshima International University}, Cited-References = {{[}Anonymous], 1991, ROUGH SETS. ARBEL A, 1989, EUR J OPER RES, V43, P317, DOI 10.1016/0377-2217(89)90231-2. ARBEL A, 1993, EUR J OPER RES, V69, P200, DOI 10.1016/0377-2217(93)90164-I. COGGER KO, 1985, J OPTIMIZ THEORY APP, V46, P483, DOI 10.1007/BF00939153. 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J. Oper. Res.}, Doc-Delivery-Number = {833VO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000222368700017}, DA = {2026-04-14}, } @article{ WOS:000266356800002, Author = {Xu, Weidong and Wu, Chongfeng and Xu, Weijun and Li, Hongyi}, Title = {A jump-diffusion model for option pricing under fuzzy environments}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2009}, Volume = {44}, Number = {3}, Pages = {337-344}, Month = {JUN}, Abstract = {Owing to fluctuations in the financial markets from time to time, the rate; of Poisson process and jump sequence (V-i) in the Merton's normal jump-diffusion model cannot be expected in a precise sense. Therefore, the fuzzy set theory proposed by Zadeh {[}Zadeh, L.A., 1965. Fuzzy sets. Inform. Control 8, 338-353] and the fuzzy random variable introduced by Kwakernaak {[}Kwakernaak, H.. 1978. Fuzzy random variables 1: Definitions and theorems. Inform. Sci. 15, 1-29] and Puri and Ralescu {[}Puri, M.L., Ralescu, D.A., 1986. Fuzzy random variables. J. Math. Anal. Appl. 114, 409-422] may be useful for modeling this kind of imprecise problem. In this paper, probability is applied to characterize the uncertainty as to whether jumps occur or not, and what the amplitudes are, while fuzziness is applied to characterize the uncertainty related to the exact number of jump times and the jump amplitudes, due to a lack of knowledge regarding financial markets. This paper presents a fuzzy normal jump-diffusion model for European option pricing, with uncertainty of both randomness and fuzziness in the jumps, which is a reasonable and a natural extension of the Merton I Merton, R.C., 1976. Option pricing when underlying stock returns are discontinuous. J. Financ. Econ. 3, 125-144] normal jump-diffusion model. Based on the crisp weighted possibilistic mean values of the fuzzy variables in fuzzy normal jump-diffusion model, we also obtain the crisp weighted possibilistic mean normal jump-diffusion model, Numerical analysis shows that the fuzzy normal jump-diffusion model and the crisp weighted possibilistic mean normal jump-diffusion model proposed in this paper are reasonable, and can be taken as reference pricing tools for financial investors. (C) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Xu, WJ (Corresponding Author), S China Univ Technol, Sch Business Adm, 381 Wushan Rd, Guangzhou 510641, Guangdong, Peoples R China. Xu, Weijun, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Xu, Weidong; Wu, Chongfeng, Shanghai Jiao Tong Univ, Financial Engn Res Ctr, Shanghai 200052, Peoples R China. Li, Hongyi, Chinese Univ Hong Kong, Fac Business Adm, Shatin, Hong Kong, Peoples R China.}, DOI = {10.1016/j.insmatheco.2008.09.003}, ISSN = {0167-6687}, EISSN = {1873-5959}, Keywords = {Fuzzy numbers; Fuzzy random variable; European option pricing; Fuzzy jump-diffusion model}, Keywords-Plus = {BLACK-SCHOLES FORMULA; EUROPEAN OPTIONS; MEAN-VALUE; RANDOM-VARIABLES; NUMBERS; ARBITRAGE; VARIANCE; SETS}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {xuweidong@sjtu.edu.cn cfwu@sjtu.edu.cn xuwj@scut.edu.cn hongyi@baf.msmail.cuhk.edu.hk}, Affiliations = {South China University of Technology; Shanghai Jiao Tong University; Chinese University of Hong Kong}, ResearcherID-Numbers = {Li, Hongyi/G-3987-2010}, ORCID-Numbers = {Li, Hongyi/0000-0002-4518-5315}, Funding-Acknowledgement = {NSFC {[}70831004, 70801027]; HSSRYF {[}07JC630059]; Research Grants Council of the Hong Kong Special Administrative Region {[}CUHK4726/05H]}, Funding-Text = {The authors sincerely thank the anonymous referees for their helpful comments. Weidong Xu and Chongfeng Wu would like to acknowledge the financial support from the NSFC (No. 70831004). Weijun Xu would like to acknowledge the financial support of NSFC (No. 70801027) and HSSRYF in EMC (No. 07JC630059). Hongyi Li would like to acknowledge the financial support of a grant from the Research Grants Council of the Hong Kong Special Administrative Region (CUHK4726/05H).}, Cited-References = {Alefeld G., 1983, INTRO INTERVAL COMPU. ANDRES J, 2004, EUR J OPER RES, V154, P808. {[}Anonymous], SOFT COMPUTING FINAN. {[}Anonymous], 1985, INT J APPROXIMATE RE. BLACK F, 1973, J POLIT ECON, V81, P637, DOI 10.1086/260062. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Carr P, 2004, J FINANC ECON, V71, P113, DOI 10.1016/S0304-405X(03)00171-5. Chrysafis KA, 2009, J COMPUT APPL MATH, V223, P552, DOI 10.1016/j.cam.2007.12.006. Cox E., 1994, FUZZY SYSTEMS HDB. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {40}, Times-Cited = {40}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Insur. Math. Econ.}, Doc-Delivery-Number = {449UW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000266356800002}, DA = {2026-04-14}, } @article{ WOS:000926439700001, Author = {Tirkolaee, Erfan Babaee and Golpira, Heris and Javanmardan, Ahvan and Maihami, Reza}, Title = {A socio-economic optimization model for blood supply chain network design during the COVID-19 pandemic: An interactive possibilistic programming approach for a real case study}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2023}, Volume = {85}, Month = {FEB}, Abstract = {In uncertain circumstances like the COVID-19 pandemic, designing an efficient Blood Supply Chain Network (BSCN) is crucial. This study tries to optimally configure a multi-echelon BSCN under uncertainty of demand, capacity, and blood disposal rates. The supply chain comprises blood donors, collection facilities, blood banks, regional hospitals, and consumption points. A novel bi-objective Mixed-Integer Linear Programming (MILP) model is suggested to formulate the problem which aims to minimize network costs and maximize job opportunities while considering the adverse effects of the pandemic. Interactive possibilistic programming is then utilized to optimally treat the problem with respect to the special conditions of the pandemic. In contrast to previous studies, we incorporated socio-economic factors and COVID-19 impact into the BSCN design. To validate the developed methodology, a real case study of a Blood Supply Chain (BSC) is analyzed, along with sensitivity analyses of the main parameters. According to the obtained results, the suggested approach can simultaneously handle the bi-objectiveness and uncertainty of the model while finding the optimal number of facilities to satisfy the uncertain demand, blood flow between supply chain echelons, network cost, and the number of jobs created.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Golpîra, H (Corresponding Author), Islamic Azad Univ, Dept Ind Engn, Sanandaj Branch, Sanandaj, Iran. Tirkolaee, Erfan Babaee, Istinye Univ, Dept Ind Engn, Istanbul, Turkiye. Golpira, Heris, Islamic Azad Univ, Dept Ind Engn, Sanandaj Branch, Sanandaj, Iran. Javanmardan, Ahvan, Islamic Azad Univ, Dept Ind Engn, North Tehran Branch, Tehran, Iran. Maihami, Reza, East Tennessee State Univ, Dept Management \& Mkt, Johnson City, TN USA.}, DOI = {10.1016/j.seps.2022.101439}, EarlyAccessDate = {JAN 2023}, Article-Number = {101439}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Blood supply chain network design; Socio-economic optimization; Job opportunity; COVID-19 pandemic; Uncertainty; Interactive possibilistic programming}, Keywords-Plus = {PLATELET PRODUCTION; EFFICIENT; POLICIES; DEMAND}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Affiliations = {Istinye University; Islamic Azad University; Islamic Azad University; East Tennessee State University}, ResearcherID-Numbers = {Babaee Tirkolaee, Erfan/U-3676-2017 Golpîra, Hêriş/X-7870-2018 Maihami, Reza/AAX-5714-2020 javanmardan, Ahvan/HTQ-9421-2023}, ORCID-Numbers = {Babaee Tirkolaee, Erfan/0000-0003-1664-9210 Golpîra, Hêriş/0000-0003-1346-9572 Maihami, Reza/0000-0002-7241-7273 javanmardan, Ahvan/0000-0003-0886-1852}, Cited-References = {Abbasi B, 2020, COMPUT OPER RES, V119, DOI 10.1016/j.cor.2020.104941. 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Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Vitoriano B., 2013, DECISION AID MODELS. Wang CJ, 2020, TRANSPORT RES E-LOG, V134, DOI 10.1016/j.tre.2020.101840. Zahedi A, 2021, APPL SOFT COMPUT, V104, DOI 10.1016/j.asoc.2021.107210. Zahiri B, 2015, APPL MATH MODEL, V39, P7680, DOI 10.1016/j.apm.2015.04.028. Zahiri B, 2017, INT J PROD RES, V55, P2013, DOI 10.1080/00207543.2016.1262563.}, Number-of-Cited-References = {57}, Times-Cited = {64}, Usage-Count-Last-180-days = {5}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Socio-Econ. Plan. Sci.}, Doc-Delivery-Number = {8P3QK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000926439700001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000306204600016, Author = {Zhang, Wei-Guo and Liu, Yong-Jun and Xu, Wei-Jun}, Title = {A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2012}, Volume = {222}, Number = {2}, Pages = {341-349}, Month = {OCT 16}, Abstract = {This paper deals with a multi-period portfolio selection problem with fuzzy returns. A possibilistic mean-semivariance-entropy model for multi-period portfolio selection is presented by taking into account four criteria viz., return, risk, transaction cost and diversification degree of portfolio. In the proposed model, the return level is quantified by the possibilistic mean value of return, the risk level is characterized by the lower possibilistic semivariance of return, and the diversification degree of portfolio is measured by the originally presented possibilistic entropy. Furthermore, a hybrid intelligent algorithm is designed to obtain the optimal portfolio strategy. Finally, the comparison analysis between the possibilistic entropy model and the proportion entropy model is provided by two numerical examples to illustrate the efficiency of the proposed approaches and the designed algorithm. (c) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China. Zhang, Wei-Guo; Liu, Yong-Jun; Xu, Wei-Jun, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China.}, DOI = {10.1016/j.ejor.2012.04.023}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Finance; Multi-period portfolio selection; Possibilistic semivariance; Possibilistic entropy; Hybrid intelligent algorithm}, Keywords-Plus = {REBALANCING MODEL; OPTIMIZATION; VARIANCE; MANAGEMENT}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {liuyongjun0202@yahoo.com.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}70825005, 71171086, 711 01056]; GDUPS; Program for New Century Excellent Talents in University {[}NCET-10-0401]}, Funding-Text = {We thank the Editor and the anonymous referees for their penetrating remarks and suggestions concerning the earlier version of this paper. This research was supported by the National Natural Science Foundation of China (Nos. 70825005, 71171086, 711 01056), GDUPS (2010) and the Program for New Century Excellent Talents in University (No. NCET-10-0401).}, Cited-References = {ABRAMS RA, 1980, ECONOMETRICA, V48, P333, DOI 10.2307/1911100. Arnott R., 1990, FINANCIAL ANAL J, V46, P73, DOI {[}DOI 10.2469/faj.v46.n6.73, 10.2469/faj.v46.n6.73, DOI 10.2469/FAJ.V46.N6.73]. Bertsimas D, 2008, COMPUT OPER RES, V35, P3, DOI 10.1016/j.cor.2006.02.011. Bilbao-Terol A, 2006, APPL MATH COMPUT, V173, P251, DOI 10.1016/j.amc.2005.04.003. Calafiore GC, 2008, AUTOMATICA, V44, P2463, DOI 10.1016/j.automatica.2008.02.007. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Çelikyurt U, 2007, EUR J OPER RES, V179, P186, DOI 10.1016/j.ejor.2005.02.079. Crama Y, 2003, EUR J OPER RES, V150, P546, DOI 10.1016/S0377-2217(02)00784-1. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. 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Zhang WG, 2010, ECON MODEL, V27, P208, DOI 10.1016/j.econmod.2009.08.008. Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhu SS, 2004, IEEE T AUTOMAT CONTR, V49, P447, DOI 10.1109/TAC.2004.824474.}, Number-of-Cited-References = {51}, Times-Cited = {138}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {78}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {971LE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000306204600016}, DA = {2026-04-14}, } @article{ WOS:000564491900001, Author = {Romano, Rosaria and Palumbo, Francesco}, Title = {Partial possibilistic regression path modeling: handling uncertainty in path modeling}, Journal = {COMPUTATIONAL STATISTICS}, Year = {2021}, Volume = {36}, Number = {1}, Pages = {615-639}, Month = {MAR}, Abstract = {The paper presents a new insight of a recently proposed method named partial possibilistic regression path modeling. This method combines the principles ofpath modelingwith those of possibilistic regression to model the net of relations among blocks of variables, where a weighted composite summarizes each block. It assumes that randomness can refer back as the measurement error, which is the error in modeling the relations between the observed variables and the corresponding composite, and the vagueness to the structural error, which is the uncertainty in modeling the relations among the composites behind each block of variables. The comparison of the proposed method with a classical composite-based path model is based on a simulation study. A case study on the use of Wikipedia in higher education illustrates a fruitful usability context of the proposed method.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Romano, R (Corresponding Author), Univ Naples Federico II, Dept Econ \& Stat, Naples, Italy. Romano, Rosaria, Univ Naples Federico II, Dept Econ \& Stat, Naples, Italy. Palumbo, Francesco, Univ Naples Federico II, Dept Polit Sci, Naples, Italy.}, DOI = {10.1007/s00180-020-01026-7}, EarlyAccessDate = {AUG 2020}, ISSN = {0943-4062}, EISSN = {1613-9658}, Keywords = {Interval data; Randomness-vagueness; Structural equation modeling; Least absolute values}, Keywords-Plus = {FUZZY; INFORMATION; CS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Statistics \& Probability}, Author-Email = {rosaroma@unina.it fpalumbo@unind.it}, Affiliations = {University of Naples Federico II; University of Naples Federico II}, ResearcherID-Numbers = {Palumbo, Francesco/AAG-8434-2021 }, ORCID-Numbers = {Palumbo, Francesco/0000-0002-9027-5053 Romano, Rosaria/0000-0002-9708-1753}, Funding-Acknowledgement = {Universita degli Studi di Napoli Federico II within the CRUI-CARE Agreement}, Funding-Text = {Open access funding provided by Universita degli Studi di Napoli Federico II within the CRUI-CARE Agreement.}, Cited-References = {ALWIN DF, 1975, AM SOCIOL REV, V40, P37, DOI 10.2307/2094445. {[}Anonymous], 1975, TECHNICAL REPORT. {[}Anonymous], 1993, STAT MODELLING LATEN. 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Stat.}, Doc-Delivery-Number = {QA4QF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000564491900001}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000278641400014, Author = {Berry-Stoelzle, Thomas R. and Koissi, Marie-Claire and Shapiro, Arnold F.}, Title = {Detecting fuzzy relationships in regression models: The case of insurer solvency surveillance in Germany}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2010}, Volume = {46}, Number = {3}, Pages = {554-567}, Month = {JUN}, Abstract = {We develop a test for the fuzziness of regression coefficients based on the Tanaka et al. (1982) and He et al. (2007) possibilistic fuzzy regression models. We interpret the spread of the regression coefficients as a statistic measuring the fuzziness of the relationship between the corresponding independent variable and the dependent variable. We derive test distributions based on the null hypothesis that such spreads could have been obtained by estimating a possibilistic regression with data generated by a classical regression model with random errors. As an example, we show how our test detects a fuzzy regression coefficient in a solvency prediction model for German property-liability insurance companies. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Berry-Stölzle, TR (Corresponding Author), Univ Georgia, Terry Coll Business, 206 Brooks Hall, Athens, GA 30602 USA. Berry-Stoelzle, Thomas R., Univ Georgia, Terry Coll Business, Athens, GA 30602 USA. Koissi, Marie-Claire, Western Illinois Univ, Dept Math, Macomb, IL 61455 USA. Shapiro, Arnold F., Penn State Univ, Smeal Coll Business, University Pk, PA 16802 USA.}, DOI = {10.1016/j.insmatheco.2010.02.003}, ISSN = {0167-6687}, EISSN = {1873-5959}, Keywords = {Test for fuzziness; Possibilistic fuzzy regression; Financial statement data; Insurance regulation}, Keywords-Plus = {PROPERTY-LIABILITY INSURANCE; LINEAR-REGRESSION; FINANCIAL DISTRESS; MARKET PREDICTORS; LIFE-HEALTH; RISK; INSOLVENCIES; STOCK}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {trbs@terry.uga.edu mk122@wiu.edu afs1@psu.edu}, Affiliations = {University System of Georgia; University of Georgia; Western Illinois University; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park}, Cited-References = {{[}Anonymous], 2004, P 14 INT AFIR C. 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ZIMMERMANN A, 1996, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {44}, Times-Cited = {22}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Insur. Math. Econ.}, Doc-Delivery-Number = {609FO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000278641400014}, DA = {2026-04-14}, } @article{ WOS:000406419500010, Author = {Pedroni, Nicola and Zio, Enrico and Pasanisi, Alberto and Couplet, Mathieu}, Title = {A Critical Discussion and Practical Recommendations on Some Issues Relevant to the Nonprobabilistic Treatment of Uncertainty in Engineering Risk Assessment}, Journal = {RISK ANALYSIS}, Year = {2017}, Volume = {37}, Number = {7}, Pages = {1315-1340}, Month = {JUL}, Abstract = {Models for the assessment of the risk of complex engineering systems are affected by uncertainties due to the randomness of several phenomena involved and the incomplete knowledge about some of the characteristics of the system. The objective of this article is to provide operative guidelines to handle some conceptual and technical issues related to the treatment of uncertainty in risk assessment for engineering practice. In particular, the following issues are addressed: (1) quantitative modeling and representation of uncertainty coherently with the information available on the system of interest; (2) propagation of the uncertainty from the input(s) to the output(s) of the system model; (3) (Bayesian) updating as new information on the system becomes available; and (4) modeling and representation of dependences among the input variables and parameters of the system model. Different approaches and methods are recommended for efficiently tackling each of issues (1)-(4) above; the tools considered are derived from both classical probability theory as well as alternative, nonfully probabilistic uncertainty representation frameworks (e.g., possibility theory). The recommendations drawn are supported by the results obtained in illustrative applications of literature.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Pedroni, N (Corresponding Author), Univ Paris Saclay, Cent Supelec, LGI, Chair Syst Sci \& Energy Challenge,Fdn Elect Franc, F-92290 Chatenay Malabry, France. Pedroni, Nicola; Zio, Enrico, Univ Paris Saclay, Cent Supelec, LGI, Chair Syst Sci \& Energy Challenge,Fdn Elect Franc, F-92290 Chatenay Malabry, France. Zio, Enrico, Politecn Milan, Energy Dept, Milan, Italy. Pasanisi, Alberto, EIFER, EDF R\&D, Karlsruhe, Germany. Couplet, Mathieu, Elect France, R\&D, Chatou, France.}, DOI = {10.1111/risa.12705}, ISSN = {0272-4332}, EISSN = {1539-6924}, Keywords = {Bayesian update; dependences; uncertainty representation and propagation}, Keywords-Plus = {1996 PERFORMANCE ASSESSMENT; JOINT PROPAGATION; ALTERNATIVE REPRESENTATIONS; EPISTEMIC UNCERTAINTY; BAYESIAN-INFERENCE; MONTE-CARLO; FUZZY-SETS; PROBABILITY; FAULT; FRAMEWORK}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {nicola.pedroni@centralesupelec.fr}, Affiliations = {Universite Paris Saclay; Polytechnic University of Milan; Electricite de France (EDF)}, ORCID-Numbers = {Couplet, Mathieu/0000-0002-5604-4622}, Cited-References = {{[}Anonymous], SAND20043072 SANDIA. {[}Anonymous], 2005, EPRI 1011989 Final Report. {[}Anonymous], J SCI. {[}Anonymous], NUREG1174. {[}Anonymous], SAND20024015 SANDIA. {[}Anonymous], 1975, NUREG75014. {[}Anonymous], NUREG1855. {[}Anonymous], 2009, Guidance on the Development, Evaluation, and Application of Environmental Models EPA/100/K-09/003. {[}Anonymous], EV QUANT MARG UNC AS. {[}Anonymous], 2005, STOCH ENV RES RISK A, DOI DOI 10.1007/s00477-004-0209-1. {[}Anonymous], J RISK RELIABILITY. {[}Anonymous], RELIABILITY ENG SYST. {[}Anonymous], 20020835 SANDIA NAT. {[}Anonymous], THEORY RANDOM SETS. {[}Anonymous], NUREG1150. {[}Anonymous], 2012, UNCERTAINTY QUANTIFI. {[}Anonymous], RISK INF DEC MAK HDB. {[}Anonymous], 2015, GLOSS SPEC GROUP FDN. {[}Anonymous], NUREGCR6268. {[}Anonymous], SAND20070939 SANDIA. {[}Anonymous], TECHNICAL REPORT. 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Zio E, 2011, RISK ANAL, V31, P1196, DOI 10.1111/j.1539-6924.2011.01584.x.}, Number-of-Cited-References = {139}, Times-Cited = {10}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {15}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {FB8WF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000406419500010}, DA = {2026-04-14}, } @article{ WOS:000725292900003, Author = {Delfani, Fatemeh and Kazemi, Abolfazl and SeyedHosseini, Seyed Mohammad and Niaki, Seyed Taghi Akhavan}, Title = {A novel robust possibilistic programming approach for the hazardous waste location-routing problem considering the risks of transportation and population}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2021}, Volume = {8}, Number = {4}, Pages = {383-395}, Month = {OCT 2}, Abstract = {Nowadays, fast growth in industrial transformation and urbanization pushes the management of hazardous waste into a crisis for all markets. In this study, a multi-objective mathematical model is introduced to address a new version of the hazardous waste location-routing problem. As another multi-objective optimization model in this research area, the objective functions are minimizing the total costs, the overall risk associated with sending the hazardous waste, and the site risk related to the population in a given distance around the facilities. With regards to the literature and as far as the authors know, this is the first attempt to consider both risks of transportation and population simultaneously in addition to the total cost. Another contribution of this research is the development of a basic possibilistic chance-constrained programming (BPCCP) approach. After that, a robust possibilistic programming (RPP) model of the proposed problem is introduced to deal with the uncertainty of the model's parameters. While the applicability of the proposed models is addressed, it is revealed that the RPP model obtains better solutions in comparison with the BPCCP model for different realizations and sensitivities. Finally, practical insights are concluded from the results.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kazemi, A (Corresponding Author), Islamic Azad Univ, Fac Ind \& Mech Engn, Qazvin Branch, Qazvin, Iran. Delfani, Fatemeh; Kazemi, Abolfazl, Islamic Azad Univ, Fac Ind \& Mech Engn, Qazvin Branch, Qazvin, Iran. SeyedHosseini, Seyed Mohammad, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Niaki, Seyed Taghi Akhavan, Sharif Univ Technol, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1080/23302674.2020.1781954}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Hazardous waste; location-routing problem; risks; robust possibilistic programming}, Keywords-Plus = {MUNICIPAL SOLID-WASTE; SUPPLIER SELECTION; MODEL; ALLOCATION; OPTIMIZATION; LOGISTICS; ALGORITHMS; MANAGEMENT; POLICIES; QUALITY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {abkaazemi@qiau.ac.irr}, Affiliations = {Islamic Azad University; Iran University Science \& Technology; Sharif University of Technology}, ResearcherID-Numbers = {Seyedhosseini, Seyed Mohammad/T-5660-2018 Niaki, Seyed Taghi Akhavan/B-4008-2011 Kazemi, Abolfazl/AAV-1844-2021}, ORCID-Numbers = {Seyedhosseini, Seyed Mohammad/0000-0001-9587-0049 Niaki, Seyed Taghi Akhavan/0000-0001-6281-055X Kazemi, Abolfazl/0000-0003-1870-2206}, Cited-References = {Abdi A, 2021, INT J SYST SCI-OPER, V8, P23, DOI 10.1080/23302674.2019.1610197. 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Zhang M, 2005, 2005 INTERNATIONAL CONFERENCE ON SERVICES SYSTEMS AND SERVICES MANAGEMENT, VOLS 1 AND 2, PROCEEDINGS, P362.}, Number-of-Cited-References = {55}, Times-Cited = {29}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {62}, Journal-ISO = {Int. J. Syst. Sci.- Oper. Logist.}, Doc-Delivery-Number = {XH2TI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000725292900003}, DA = {2026-04-14}, } @article{ WOS:000575126600005, Author = {Hose, Dominik and Hanss, Michael}, Title = {On data-based estimation of possibility distributions}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2020}, Volume = {399}, Pages = {77-94}, Month = {NOV 15}, Abstract = {In this paper, we show how a possibilistic description of uncertainty arises very naturally in statistical data analysis. In combination with recent results in inverse uncertainty propagation and the consistent aggregation of marginal possibility distributions, this estimation procedure enables a very general approach to possibilistic identification problems in the framework of imprecise probabilities, i.e. the non-parametric estimation of possibility distributions of uncertain variables from data with a clear interpretation. (C) 2020 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hose, D (Corresponding Author), Univ Stuttgart, Inst Engn \& Computat Mech, Pfaffenwaldring 9, D-70569 Stuttgart, Germany. Hose, Dominik; Hanss, Michael, Univ Stuttgart, Inst Engn \& Computat Mech, Pfaffenwaldring 9, D-70569 Stuttgart, Germany.}, DOI = {10.1016/j.fss.2020.03.017}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibilistic statistics; Probability-possibility consistency; Fuzzy membership estimation; Possibility distribution estimation; Fuzzy measurement equations}, Keywords-Plus = {INTERVAL ESTIMATION; PROBABILITIES; REPRESENTATIONS; PRINCIPLE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {dominik.hose@itm.uni-stuttgart.de}, Affiliations = {University of Stuttgart}, ORCID-Numbers = {Hose, Dominik/0000-0003-2093-0152}, Funding-Acknowledgement = {German Research Foundation(DFG) {[}319924547(HA2798/9-1)]}, Funding-Text = {The authors gratefully acknowledge the support provided by the German Research Foundation(DFG) in the framework of the research project no. 319924547(HA2798/9-1). 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Papaioannou Iason, 2019, GAMM MITT, V42, DOI e201900009. Rigollet Philippe, 2015, LECT NOTES MATH COUR, V18. Serrurier M, 2011, IEEE INT CONF FUZZY, P2987. Stefanini L, 2010, FUZZY SET SYST, V161, P1564, DOI 10.1016/j.fss.2009.06.009. Troffaes MCM, 2013, INFORM SCIENCES, V224, P88, DOI 10.1016/j.ins.2012.09.033. Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427.}, Number-of-Cited-References = {44}, Times-Cited = {12}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {NW6LL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000575126600005}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000368951300019, Author = {Tofighi, S. and Torabi, S. A. and Mansouri, S. A.}, Title = {Humanitarian logistics network design under mixed uncertainty}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2016}, Volume = {250}, Number = {1}, Pages = {239-250}, Month = {APR 1}, Abstract = {In this paper, we address a two-echelon humanitarian logistics network design problem involving multiple central warehouses (CWs) and local distribution centers (LDCs) and develop a novel two-stage scenario based possibilistic-stochastic programming (SBPSP) approach. The research is motivated by the urgent need for designing a relief network in Tehran in preparation for potential earthquakes to cope with the main logistical problems in pre- and post-disaster phases. During the first stage, the locations for CWs and LDCs are determined along with the prepositioned inventory levels for the relief supplies. In this stage, inherent uncertainties in both supply and demand data as well as the availability level of the transportation network's routes after an earthquake are taken into account. In the second stage, a relief distribution plan is developed based on various disaster scenarios aiming to minimize: total distribution time, the maximum weighted distribution time for the critical items, total cost of unused inventories and weighted shortage cost of unmet demands. A tailored differential evolution (DE) algorithm is developed to find good enough feasible solutions within a reasonable CPU time. Computational results using real data reveal promising performance of the proposed SBPSP model in comparison with the existing relief network in Tehran. The paper contributes to the literature on optimization based design of relief networks under mixed possibilistic-stochastic uncertainty and supports informed decision making by local authorities in increasing resilience of urban areas to natural disasters. (C) 2015 The Authors. Published by Elsevier B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tofighi, S (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Tofighi, S.; Torabi, S. A., Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Mansouri, S. A., Brunel Univ, Brunel Business Sch, London, England.}, DOI = {10.1016/j.ejor.2015.08.059}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Humanitarian logistics; Integrated stock prepositioning and relief distribution; Mixed possibilistic-stochastic programming; Differential evolution}, Keywords-Plus = {DIFFERENTIAL EVOLUTION; PROGRAMMING APPROACH; FACILITY LOCATION; OPTIMIZATION; MODEL; EMERGENCY; MANAGEMENT}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {stofighi@ut.ac.ir satorabi@ut.ac.ir Afshin.Mansouri@brunel.ac.uk}, Affiliations = {University of Tehran; Brunel University}, ResearcherID-Numbers = {Mansouri, Afshin/B-5806-2013 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Mansouri, Afshin/0000-0002-1488-7912 Torabi, S. Ali/0000-0002-9764-9679}, Funding-Acknowledgement = {University of Tehran {[}8109920/1/12]; Economic and Social Research Council (ESRC) of UK {[}RES-067-27-0027]}, Funding-Text = {This research was supported in part by University of Tehran under the research grant no. 8109920/1/12 and Economic and Social Research Council (ESRC) of UK under grant no. RES-067-27-0027. The authors appreciate the constructive comments made by the anonymous reviewers, which helped to improve presentation of the paper.}, Cited-References = {{[}Anonymous], FUZZY PROGRAMMING TH. {[}Anonymous], 2000, Final Report. {[}Anonymous], 2015, The International Disaster Database. Balcik B, 2008, INT J LOGIST-RES APP, V11, P101, DOI 10.1080/13675560701561789. Balcik B, 2010, INT J PROD ECON, V126, P22, DOI 10.1016/j.ijpe.2009.09.008. Birge J.R., 1997, INTRO STOCHASTIC PRO. Bozorgi-Amiri A, 2013, OR SPECTRUM, V35, P905, DOI 10.1007/s00291-011-0268-x. 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Res.}, Doc-Delivery-Number = {DC1BH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000368951300019}, OA = {Green Submitted, hybrid}, ESI-Highly-Cited-Paper = {Y}, ESI-Hot-Paper = {N}, DA = {2026-04-14}, } @article{ WOS:000405137700002, Author = {Georgescu, Irina and Cristobal-Campoamor, Adolfo and Ma Lucia-Casademunt, Ana}, Title = {A Possibilistic and Probabilistic Approach to Precautionary Saving}, Journal = {PANOECONOMICUS}, Year = {2017}, Volume = {64}, Number = {3}, Pages = {273-295}, Abstract = {This paper proposes two mixed models to study a consumer's optimal saving in the presence of two types of risk: income risk and background risk. In the first model, income risk is represented by a fuzzy number and background risk by a random variable. In the second model, income risk is represented by a random variable and background risk by a fuzzy number. For each model, three notions of precautionary savings are defined as indicators of the extra saving induced by income and background risk on the consumer's optimal choice. In conclusion, we can characterize the conditions that allow for extra saving relative to optimal saving under certainty, even when a certain component of risk is modelled using fuzzy numbers.}, Publisher = {SAVEZ EKONOMISTA VOJVODINE}, Address = {ZMAJ JOVINA 26-1, NOVI SAD, 21000, SERBIA}, Type = {Article}, Language = {English}, Affiliation = {Lucia-Casademunt, AM (Corresponding Author), Univ Loyola Andalucia, Dept Business Org, Campus Cordoba, Seville, Spain. Georgescu, Irina, Bucharest Acad Econ Studies, Dept Comp Sci \& Cybernet, Bucharest, Romania. Cristobal-Campoamor, Adolfo, Univ Loyola Andalucia, Dept Econ, Seville, Spain. Ma Lucia-Casademunt, Ana, Univ Loyola Andalucia, Dept Business Org, Campus Cordoba, Seville, Spain.}, DOI = {10.2298/PAN130129003G}, ISSN = {1452-595X}, EISSN = {2217-2386}, Keywords = {Optimal saving; Background risk; Income risk; Possibility theory}, Keywords-Plus = {UNCERTAINTY; DEMAND; RISK}, Research-Areas = {Business \& Economics}, Web-of-Science-Categories = {Economics}, Author-Email = {irina.georgescu@csie.ase.ro acristobal@uloyola.es alucia@uloyola.es}, Affiliations = {Bucharest University of Economic Studies; Universidad Loyola Andalucia; Universidad Loyola Andalucia}, ResearcherID-Numbers = {Lucia-Casademunt, Ana M/ABH-3351-2020 Georgescu, Irina/K-6435-2015 Cristóbal Campoamor, Adolfo/ABG-9602-2021}, ORCID-Numbers = {Lucia-Casademunt, Ana M/0000-0003-2891-2485 Georgescu, Irina/0000-0002-8536-5636 Cristóbal Campoamor, Adolfo/0000-0001-8783-1947}, Cited-References = {Andrade JS, 2011, PANOECONOMICUS, V58, P195, DOI 10.2298/PAN1102195A. {[}Anonymous], 6 IEEE INT S APPL CO. {[}Anonymous], 13 IEEE INT S COMP I. {[}Anonymous], 0532 MIT DEP EC. {[}Anonymous], J EC THEORY. {[}Anonymous], 1989, P WORLD BANK ANN C D. Bates TW, 2009, J FINANC, V64, P1985, DOI 10.1111/j.1540-6261.2009.01492.x. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Carroll C.D., 2008, The New Palgrave Dictionary of Economics. Chamon M, 2013, J DEV ECON, V105, P164, DOI 10.1016/j.jdeveco.2013.07.014. COLE HL, 1992, J POLIT ECON, V100, P1092, DOI 10.1086/261855. Courbage C, 2007, ECON THEOR, V32, P417, DOI 10.1007/s00199-006-0178-3. DOHERTY NA, 1983, J POLIT ECON, V91, P1045, DOI 10.1086/261199. Du QY, 2013, J INT ECON, V91, P275, DOI 10.1016/j.jinteco.2013.09.003. Eeckhoudt L., 2005, Economic and financial decisions under risk. Eeckhoudt L, 2007, MANAGE SCI, V53, P117, DOI 10.1287/mnsc.1060.0606. Eeckhoudt L, 2008, J MONETARY ECON, V55, P1329, DOI 10.1016/j.jmoneco.2008.08.004. Fullér R, 2003, FUZZY SET SYST, V136, P363, DOI 10.1016/S0165-0114(02)00216-6. Fuller R., 1998, Fuzzy Reasoning for Fuzzy Optimization, DOI DOI 10.1007/978-3-7908-1805-5\_5. 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Zhang WG, 2007, FUND INFORM, V79, P257.}, Number-of-Cited-References = {33}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Panoeconomicus}, Doc-Delivery-Number = {FA0PL}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000405137700002}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000265892700021, Author = {Jana, P. and Roy, T. K. and Mazumder, S. K.}, Title = {Multi-objective possibilistic model for portfolio selection with transaction cost}, Journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, Year = {2009}, Volume = {228}, Number = {1}, Pages = {188-196}, Month = {JUN 1}, Abstract = {In this paper, we introduce the possibilistic mean value and variance of continuous distribution, rather than probability distributions. We propose a multi-objective Portfolio based model and added another entropy objective function to generate a well diversified asset portfolio within optimal asset allocation. For quantifying any potential return and risk, portfolio liquidity is taken into account and a multi-objective non-linear programming model for portfolio rebalancing with transaction cost is proposed. The models are illustrated with numerical examples. (c) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Jana, P (Corresponding Author), Scottish Church Coll, Dept Math, 1\&3 Urquhart Sq, Kolkata 700006, W Bengal, India. Jana, P., Scottish Church Coll, Dept Math, Kolkata 700006, W Bengal, India. Roy, T. K.; Mazumder, S. K., Bengal Engn \& Sci Univ, Dept Math, Howrah 711103, India.}, DOI = {10.1016/j.cam.2008.09.008}, ISSN = {0377-0427}, EISSN = {1879-1778}, Keywords = {Possibility Theory; Portfolio Rebalancing; Entropy; Multi-objective problem; Transaction cost}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {p\_jana1974@dataone.in}, Affiliations = {Indian Institute of Engineering Science Technology Shibpur (IIEST)}, ResearcherID-Numbers = {Jana, Prasanta/F-7960-2015 Mazumder, Sudip/AAY-6440-2020 }, ORCID-Numbers = {Roy, Tapan Kumar/0000-0002-3731-7680}, Cited-References = {Arnott R., 1990, FINANCIAL ANAL J, V46, P73, DOI {[}DOI 10.2469/faj.v46.n6.73, 10.2469/faj.v46.n6.73, DOI 10.2469/FAJ.V46.N6.73]. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. Fang S.-C., 1997, Entropy optimization and mathematical programming. Kapur J.N., 1990, MAXIMUM ENTROPY MODE. KONNO H, 1991, MANAGE SCI, V37, P519, DOI 10.1287/mnsc.37.5.519. Markowitz H, 1952, J FINANC, V7, P77, DOI 10.1111/j.1540-6261.1952.tb01525.x. Watada J., 2001, Fuzzy portfolio model for decision making in investment, dynamical aspects in fuzzy decision making, P141, DOI DOI 10.1007/978-3-7908-1817-8\_7. Yoshimoto A, 1996, J OPER RES SOC JPN, V39, P99, DOI 10.15807/jorsj.39.99. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {12}, Times-Cited = {84}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {J. Comput. Appl. Math.}, Doc-Delivery-Number = {443EJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000265892700021}, DA = {2026-04-14}, } @article{ WOS:001270722200001, Author = {Borah, Gourangajit and Dutta, Palash}, Title = {Fuzzy risk analysis in crop selection using information measures on quadripartitioned single-valued neutrosophic sets}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {255}, Number = {C}, Month = {DEC 1}, Abstract = {Crop selection is a critical task that involves assessing multiple risk factors to achieve maximum yield. Therefore, risk assessment plays a pivotal role in choosing suitable crops for cultivation. Probabilistic and possibilistic methods are the two primary approaches used for the crop selection process. Probabilistic methods are costintensive due to data handling, while possibilistic methods, utilizing linguistic variables, are considered more reliable. In this article, we represent such linguistic variables using Quadripartitioned Single-Valued Neutrosophic Sets (QSVNSs), extensions of Single-Valued Neutrosophic Sets (SVNSs) characterized by four independent membership functions that enhance uncertainty accommodation. We propose two QSVNS-based information measures, entropy and similarity, to transform the final risks evaluated in the form of QSVNSs into linguistic variables for easier comprehension by the general audience. We apply this framework to mustard and paddy cultivation in Assam, a state located in northeastern India, conducting thorough analyses and validation tests. Additionally, statistical tests are presented to demonstrate the significance of the obtained results. The final risk of mustard cultivation is found to be `absolutely high', as the largest similarity value of 0.9910 is obtained for the linguistic term `absolutely high' among all computed similarity value results. Similarly, for paddy cultivation, the largest similarity value of 0.9159 is obtained for the linguistic term `very low', indicating its final risk in our assumed scenario. Thus, the veracity and proficiency of our newly constructed measures are reflected in their practical applications.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Borah, G (Corresponding Author), Dibrugarh Univ, Dept Math, Dibrugarh 786004, Assam, India. Borah, Gourangajit; Dutta, Palash, Dibrugarh Univ, Dept Math, Dibrugarh 786004, Assam, India.}, DOI = {10.1016/j.eswa.2024.124750}, EarlyAccessDate = {JUL 2024}, Article-Number = {124750}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {sets; Crop selection; Risk analysis; Entropy measure; Similarity measure}, Keywords-Plus = {DECISION-MAKING METHOD; ENTROPY WEIGHT METHOD; SIMILARITY MEASURE; NUMBERS; ENVIRONMENT; ALGORITHMS; INFERENCE; HEALTH; SAFETY; MAGDM}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {rs\_gourangajitborah@dibru.ac.in palashdutta@dibru.ac.in}, Affiliations = {Dibrugarh University}, ResearcherID-Numbers = {Dutta, Palash/C-3363-2019}, ORCID-Numbers = {Dutta, Palash/0000-0002-1565-4889}, Funding-Acknowledgement = {DST -INSPIRE JRF {[}IF190714]; Department of Science \& Technology, Government of India}, Funding-Text = {The research of the first author is supported by DST -INSPIRE JRF (Grant Number: IF190714) , provided by the Department of Science \& Technology, Government of India.}, Cited-References = {Aghaei P, 2022, QUAL QUANT, V56, P43, DOI {[}10.1007/s11135-021-01115-9, 10.1007/s11135-021-01115-9, DOI 10.1007/S11135-021-01115-9]. 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Zhong CH, 2022, ENVIRON RES, V204, DOI 10.1016/j.envres.2021.111956. Zhu L.-S., 2012, FUZZY RISKS ANAL BAS, P569.}, Number-of-Cited-References = {116}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {13}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {YT4J5}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001270722200001}, DA = {2026-04-14}, } @article{ WOS:000452427100007, Author = {Dehghani, Ehsan and Pishvaee, Mir Saman and Jabalameli, Mohammad Saeed}, Title = {A HYBRID MARKOV PROCESS-MATHEMATICAL PROGRAMMING APPROACH FOR JOINT LOCATION-INVENTORY PROBLEM UNDER SUPPLY DISRUPTIONS}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2018}, Volume = {52}, Number = {4-5}, Pages = {1147-1173}, Month = {OCT-DEC}, Abstract = {This paper introduces a joint location-inventory problem, in which facilities become temporarily unavailable. A hybrid approach based on the Markov process and mathematical programming techniques is presented to design the distribution network of a supply chain in an integrated manner. In the first phase, the Markov process derives some performance features of inventory policy. In the second phase, using outputs of the Markov process, the location-inventory problem is formulated as a mixed-integer nonlinear programming model. Moreover, a robust possibilistic programming approach is utilized, which is able to provide a more stable supply chain structure under almost all possible values of imprecise parameters. Since the proposed problem is complicated to solve by means of exact methods, we develop a simulated annealing algorithm in order to find near-optimal solutions in reasonable computational times. The obtained computational results reveal the efficiency and effectiveness of the proposed solution approach. Finally, some insights are provided and the performance of the proposed robust optimization approach is compared to traditional possibilistic chance constrained method.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Pishvaee, MS (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Dehghani, Ehsan; Pishvaee, Mir Saman; Jabalameli, Mohammad Saeed, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1051/ro/2018012}, ISSN = {0399-0559}, EISSN = {1290-3868}, Keywords = {Facility location; inventory control; disruption; Markov process; robust possibilistic programming}, Keywords-Plus = {CHAIN NETWORK DESIGN; WAREHOUSE-LOCATION; MODEL; OPTIMIZATION; UNCERTAINTY; ALGORITHM; SINGLE; RISK}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {pishvaee@iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {jabalameli, mohammad/S-8820-2018 Pishvaee, Mir/H-3450-2018}, Cited-References = {Ahmadi-Javid A, 2015, TRANSPORT RES E-LOG, V82, P238, DOI 10.1016/j.tre.2015.06.010. Ahmadi-Javid A, 2012, ENG OPTIMIZ, V44, P637, DOI 10.1080/0305215X.2011.600756. AmalNick MS, 2017, DECISION SCI LETT, P251, DOI 10.5267/j.dsl.2016.12.005. 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Res.}, Doc-Delivery-Number = {HD3OP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000452427100007}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:001227438700001, Author = {Savaei, Elahe Sadat and Alinezhad, Esmaeil and Eghtesadifard, Mahmood}, Title = {Stock portfolio optimization for risk-averse investors: A novel hybrid possibilistic and flexible robust approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {250}, Month = {SEP 15}, Abstract = {This study proposes stock portfolio optimization models for risk -averse investors under uncertain conditions. To accomplish this, the study measures risk based on the conditional drawdown-at-risk (CDaR) measure, which can prevent major declines in investment as a conservative investment strategy. Given the uncertain character of the input parameters of the problem, the study first proposes a hybrid possibilistic and flexible model by considering the CDaR measure ( CDaR-HPFM ) to handle uncertainty. Furthermore, to offer more robust outcomes, the study constructs a hybrid possibilistic and flexible robust model by considering the CDaR measure ( CDaR-HPFRM ), in the forms of a non-linear and a linear mathematical programming problem. The CDaR-HPFRM can process the robustness of output decisions while dealing with uncertain parameters. The real stock exchange data of 100 companies registered on the Tehran Stock Exchange are investigated to validate the functionality of the proposed models. The results reveal that, when various penalty costs are factored in, the CDaR-HPFRM yields more efficient and more robust results than the CDaR-HPFM . Comparative results also indicate that the proposed models almost always outperform existing methods, in terms of both CDaR and rate of return measures. Proposed models can be used for all types of stock market investments (including micro -investing and investment funds) and can handle portfolio optimization and selection processes in project -based organizations.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Eghtesadifard, M (Corresponding Author), Shiraz Univ Technol, Dept Ind Engn, POB 71555-313,Modarres Blvd, Shiraz, Iran. Savaei, Elahe Sadat; Alinezhad, Esmaeil; Eghtesadifard, Mahmood, Shiraz Univ Technol, Dept Ind Engn, POB 71555-313,Modarres Blvd, Shiraz, Iran.}, DOI = {10.1016/j.eswa.2024.123754}, EarlyAccessDate = {APR 2024}, Article-Number = {123754}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Hybrid possibilistic and flexible robust model; Hybrid possibilistic and flexible model; Tehran Stock Exchange; Conditional drawdown-at-risk; Stock portfolio optimization; Efficient investment portfolio}, Keywords-Plus = {MODEL}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {E.Savaee@sutech.ac.ir Alinezhad@sutech.ac.ir eghtesadifard@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {eghtesadifard, Mahmood/0000-0002-8265-4870}, Cited-References = {Amiri M., 2019, Iranian Journal of Finance, V3, P44, DOI {[}10.22034/ijf.2020.195328.1046, DOI 10.22034/IJF.2020.195328.1046]. 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Ali and Mohammadi, M.}, Title = {Hub-and-spoke network design under operational and disruption risks}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2018}, Volume = {109}, Pages = {20-43}, Month = {JAN}, Abstract = {This paper proposes a novel decision-making framework to design a resilient hub network under operational and disruption risks. The proposed framework accounts for disruption risks via considering three primary resilience dimensions involving proactive capability, reactive capability, and design quality. Also, a new objective function is introduced to assess the resilience level of the designed hub network. A hybrid solution approach is proposed to solve such a multi facet complex problem efficiently. Finally, several in-depth analyses are conducted to validate the proposed solution approach by which some managerial insights are also provided.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Zhalechian, M., Univ Michigan, Dept Ind \& Operat Engn, Ann Arbor, MI 48109 USA. Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Mohammadi, M., Univ Bretagne Loire, Lab STICC, IMT Atlantique, Brest, France.}, DOI = {10.1016/j.tre.2017.11.001}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Hub-and-spoke network; Resilience strategies; Business continuity management; Operational and disruption risks; Uncertainty programming}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; SUPPLY CHAIN NETWORK; DIFFERENTIAL EVOLUTION; BUSINESS CONTINUITY; LOCATION-PROBLEMS; RESILIENCE; IMPACT; OPTIMIZATION; FORMULATIONS; PERFORMANCE}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {mzhale@umich.edu satorabi@ut.ac.ir mehrdad.mohammadi@imt-atlantique.fr}, Affiliations = {University of Michigan System; University of Michigan; University of Tehran; Universite de Bretagne Occidentale; IMT - Institut Mines-Telecom; IMT Atlantique}, ResearcherID-Numbers = {Torabi, S. Ali/E-1078-2018 MOHAMMADI, Mehrdad/KIA-9696-2024}, ORCID-Numbers = {Zhalechian, Mohammad/0000-0002-1174-6102 Torabi, S. Ali/0000-0002-9764-9679 MOHAMMADI, Mehrdad/0000-0002-3726-8356}, Cited-References = {Adenso-Diaz B, 2012, SUPPLY CHAIN MANAG, V17, P263, DOI 10.1108/13598541211227108. Ali M, 2012, EUR J OPER RES, V217, P404, DOI 10.1016/j.ejor.2011.09.025. Alumur S, 2008, EUR J OPER RES, V190, P1, DOI 10.1016/j.ejor.2007.06.008. Alumur SA, 2012, TRANSPORT RES B-METH, V46, P529, DOI 10.1016/j.trb.2011.11.006. {[}Anonymous], TRANSP RES D. {[}Anonymous], APPL MATH MODEL. {[}Anonymous], TRANSP RES B. Azaron A, 2008, INT J PROD ECON, V116, P129, DOI 10.1016/j.ijpe.2008.08.002. Azizi N, 2017, Ann Oper Res, P1. Azizi N, 2016, COMPUT OPER RES, V65, P174, DOI 10.1016/j.cor.2014.05.012. Bhamra R, 2011, INT J PROD RES, V49, P5375, DOI 10.1080/00207543.2011.563826. Campbell J. F., 1992, Annals of Operations Research, V40, P77, DOI 10.1007/BF02060471. 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Sawik T, 2013, OMEGA-INT J MANAGE S, V41, P259, DOI 10.1016/j.omega.2012.05.003. Shahabi M, 2014, TRANSPORT RES E-LOG, V70, P356, DOI 10.1016/j.tre.2014.08.003. Storn R, 1997, J GLOBAL OPTIM, V11, P341, DOI 10.1023/A:1008202821328. Tang CS, 2006, INT J PROD ECON, V103, P451, DOI 10.1016/j.ijpe.2005.12.006. Tofighi S, 2016, EUR J OPER RES, V250, P239, DOI 10.1016/j.ejor.2015.08.059. Torabi SA, 2015, TRANSPORT RES E-LOG, V79, P22, DOI 10.1016/j.tre.2015.03.005. Torabi SA, 2014, SAFETY SCI, V68, P309, DOI 10.1016/j.ssci.2014.04.017. Tran TH, 2017, TRANSPORT SCI, V51, P358, DOI 10.1287/trsc.2016.0679. Vidyarthi N., 2013, Hub-and-Spoke System Design for freight transportation with priority consignment classes. Xu JP, 2013, INFORM SCIENCES, V238, P75, DOI 10.1016/j.ins.2013.02.011. Yan JY, 2006, PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, P2103. Yang K, 2017, INFORM SCIENCES, V402, P15, DOI 10.1016/j.ins.2017.03.022. Yang K, 2016, TRANSPORT RES E-LOG, V95, P248, DOI 10.1016/j.tre.2016.10.001. Zhalechian M, 2016, TRANSPORT RES E-LOG, V89, P182, DOI 10.1016/j.tre.2016.02.011. Zhalechian M, 2017, ENG APPL ARTIF INTEL, V62, P1, DOI 10.1016/j.engappai.2017.03.006. Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002. Zhang Y, 2015, TRANSPORT RES E-LOG, V83, P90, DOI 10.1016/j.tre.2015.09.001.}, Number-of-Cited-References = {54}, Times-Cited = {102}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {135}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {FU1ZU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000423648800002}, DA = {2026-04-14}, } @article{ WOS:000226404600007, Author = {Wang, JT and Shu, YF}, Title = {Fuzzy decision modeling for supply chain management}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2005}, Volume = {150}, Number = {1}, Pages = {107-127}, Month = {FEB 16}, Abstract = {Managing a supply chain (SC) is very difficult, since various sources of uncertainty and complex interrelationships between various entities exist in the SC. Moreover, the reducing product life cycle and the heightened expectations of customers have also made the SC even harder to manage, especially for innovative products. Although the innovative products can enable a company to achieve higher profit margins, they make demands for them unpredictable, because no historical data is available. This paper develops a fuzzy decision methodology that provides an alternative framework to handle SC uncertainties and to determine SC inventory strategies. while there is lack of certainly in data or even lack of available-historical data. Fuzzy set theory is used to model SC uncertainty. A fuzzy SC model based on possibility theory is developed to evaluate SC performances. Based on the proposed fuzzy SC model, a genetic algorithm approach is developed to determine the order-up-to-levels of stock keepimg units in the SC to minimize the SC inventory cost subject to the restriction of fulfilling the target fill rate of the finished product. The proposed model allows decision makers to express their risk attitudes and to analyze the trade-off between customer service level and inventory investment in the SC and better SC inventory strategies can be made. A simulation approach is used to validate the concept developed. (C) 2004 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, JT (Corresponding Author), Feng Chia Univ, Dept Ind Engn \& Syst Management, POB 25-097, Taichung 407, Taiwan. Feng Chia Univ, Dept Ind Engn \& Syst Management, Taichung 407, Taiwan. Chung Shan Inst Sci \& Technol, Aeronaut Syst Res Div, Taichung 40722, Taiwan.}, DOI = {10.1016/j.fss.2004.07.005}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {supply chain management; new product development; fuzzy sets; possibility theory; genetic algorithms}, Keywords-Plus = {NUMBERS; DESIGN}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {rdwang@fcu.edu.tw jasonhsu@ms2.tcol.com.tw}, Affiliations = {Feng Chia University; Chung-Shan Institute of Science \& Technology}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {{[}Anonymous], 1840, Aeschyli Choephori. Beamon BM, 1998, INT J PROD ECON, V55, P281, DOI 10.1016/S0925-5273(98)00079-6. CARLSSON C, 2001, P 34 HAW INT C SYST. Dimopoulos C, 2000, IEEE T EVOLUT COMPUT, V4, P93, DOI 10.1109/4235.850651. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {32}, Times-Cited = {154}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {39}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {888WJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000226404600007}, DA = {2026-04-14}, } @article{ WOS:000324683200029, Author = {Fallah-Tafti, Alireza and Sahraeian, Rashed and Tavakkoli-Moghaddam, Reza and Moeinipour, Masoud}, Title = {An interactive possibilistic programming approach for a multi-objective closed-loop supply chain network under uncertainty}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, Year = {2014}, Volume = {45}, Number = {3}, Pages = {283-299}, Month = {MAR 1}, Abstract = {In this article, we first propose a closed-loop supply chain network design that integrates network design decisions in both forward and reverse supply chain networks into a unified structure as well as incorporates the tactical decisions with strategic ones (e.g., facility location and supplier selection) at each period. To do so, various conflicting objectives and constraints are simultaneously taken into account in the presence of some uncertain parameters, such as cost coefficients and customer demands. Then, we propose a novel interactive possibilistic approach based on the well-known STEP method to solve the multi-objective mixed-integer linear programming model. To validate the presented model and solution method, a numerical test is accomplished through the application of the proposed possibilistic-STEM algorithm. The computational results demonstrate suitability of the presented model and solution method.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Fallah-Tafti, A (Corresponding Author), Shahed Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Fallah-Tafti, Alireza; Sahraeian, Rashed, Shahed Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Tavakkoli-Moghaddam, Reza, Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Moeinipour, Masoud, Khajeh Nasir Toosi Univ Technol, Fac Mech \& Ind Engn, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1080/00207721.2012.720296}, ISSN = {0020-7721}, EISSN = {1464-5319}, Keywords = {closed-loop supply chain network design; possibilistic programming; STEP method; multiple-criteria decision making; supplier selection}, Keywords-Plus = {LOGISTICS NETWORK; REVERSE LOGISTICS; PRODUCT RECOVERY; FUZZY; DESIGN; MODEL; SELECTION}, Research-Areas = {Automation \& Control Systems; Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Computer Science, Theory \& Methods; Operations Research \& Management Science}, Author-Email = {azfallah@shahed.ac.ir}, Affiliations = {Shahed University; University of Tehran; K. N. Toosi University of Technology}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 }, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Sahraeian, Rashed/0000-0003-0613-3595}, Cited-References = {Aissaoui N, 2007, COMPUT OPER RES, V34, P3516, DOI 10.1016/j.cor.2006.01.016. Alves MJ, 2007, EUR J OPER RES, V180, P99, DOI 10.1016/j.ejor.2006.02.033. Anbuudayasankar SP, 2010, INT J SYST SCI, V41, P337, DOI 10.1080/00207720903326944. {[}Anonymous], INFORM SCI. {[}Anonymous], OPTIMIZATION TECHNIQ. {[}Anonymous], FUZZY SETS SYSTEMS. {[}Anonymous], POSSIBILITY THEORY. Azaron A, 2008, INT J PROD ECON, V116, P129, DOI 10.1016/j.ijpe.2008.08.002. Baykasoglu A, 2008, J INTELL FUZZY SYST, V19, P205, DOI 10.3233/ifs-2008-00392. Benayoun R., 1971, MATH PROGRAM, V1, P366, DOI {[}10.1007/BF01584098, DOI 10.1007/BF01584098]. BORTOLAN G, 1985, FUZZY SET SYST, V15, P1, DOI 10.1016/0165-0114(85)90012-0. BUCKLEY JJ, 1985, FUZZY SET SYST, V17, P233, DOI 10.1016/0165-0114(85)90090-9. 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Zhou Y, 2011, INT J SYST SCI, V42, P1323, DOI 10.1080/00207721.2010.517864.}, Number-of-Cited-References = {49}, Times-Cited = {32}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {108}, Journal-ISO = {Int. J. Syst. Sci.}, Doc-Delivery-Number = {221TU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000324683200029}, DA = {2026-04-14}, } @article{ WOS:000356736400002, Author = {Torabi, S. A. and Baghersad, M. and Mansouri, S. A.}, Title = {Resilient supplier selection and order allocation under operational and disruption risks}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2015}, Volume = {79}, Pages = {22-48}, Month = {JUL}, Abstract = {This study proposes a bi-objective mixed possibilistic, two-stage stochastic programming model to address supplier selection and order allocation problem to build the resilient supply base under operational and disruption risks. The model accounts for epistemic uncertainty of critical data and applies several proactive strategies such as suppliers' business continuity plans, fortification of suppliers and contracting with backup suppliers to enhance the resilience level of the selected supply base. A five-step method is designed to solve the problem efficiently. The computational results demonstrate the significant impact of considering disruptive events on the selected supply base. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Torabi, S. A.; Baghersad, M., Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Baghersad, M., Virginia Polytech Inst \& State Univ, Dept Business Informat Technol, Blacksburg, VA 24061 USA. Mansouri, S. A., Brunel Univ London, Brunel Business Sch, London, England.}, DOI = {10.1016/j.tre.2015.03.005}, ISSN = {1366-5545}, Keywords = {Supply chain disruption/risk management; Resilient supplier base; Business continuity management; Possibilistic programming; Two-stage stochastic programming; Differential evolution}, Keywords-Plus = {CHAIN RESILIENCE; BUSINESS CONTINUITY; DISASTER RECOVERY; MANAGEMENT; DESIGN; MODELS; UNCERTAINTY; STRATEGIES; ALGORITHM; FRAMEWORK}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {satorabi@ut.ac.ir milad\_baghersad@ut.ac.ir Afshin.Mansouri@brunel.ac.uk}, Affiliations = {University of Tehran; Virginia Polytechnic Institute \& State University; Brunel University}, ResearcherID-Numbers = {Baghersad, Milad/V-6272-2017 Mansouri, Afshin/B-5806-2013 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Baghersad, Milad/0000-0002-2748-9577 Mansouri, Afshin/0000-0002-1488-7912 Torabi, S. Ali/0000-0002-9764-9679}, Funding-Acknowledgement = {Iran National Science Foundation (INSF) {[}91058035]}, Funding-Text = {The authors would like to thank the editor and four anonymous referees for their detailed reviews and constructive feedback which significantly improved presentation of the paper. Also, this study was supported by a grant from Iran National Science Foundation (INSF) {[}Project No. 91058035]. The authors are grateful for this financial support.}, Cited-References = {Aissaoui N, 2007, COMPUT OPER RES, V34, P3516, DOI 10.1016/j.cor.2006.01.016. {[}Anonymous], 2012, LOGISTICS MANAGEMENT. {[}Anonymous], THESIS CORNELL U ITH. {[}Anonymous], 2011, BBC News. Azevedo S.G., 2011, GRESILIENT INDEX ASS. Berger PD, 2004, OMEGA-INT J MANAGE S, V32, P9, DOI 10.1016/j.omega.2003.09.001. 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Zobel CW, 2014, COMPUT OPER RES, V42, P83, DOI 10.1016/j.cor.2011.09.024.}, Number-of-Cited-References = {58}, Times-Cited = {373}, Usage-Count-Last-180-days = {12}, Usage-Count-Since-2013 = {361}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {CL1WU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000356736400002}, ESI-Highly-Cited-Paper = {Y}, ESI-Hot-Paper = {N}, DA = {2026-04-14}, } @article{ WOS:000725292800002, Author = {Nezhadroshan, Ali Mehdi and Fathollahi-Fard, Amir Mohammad and Hajiaghaei-Keshteli, Mostafa}, Title = {A scenario-based possibilistic-stochastic programming approach to address resilient humanitarian logistics considering travel time and resilience levels of facilities}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2021}, Volume = {8}, Number = {4}, Pages = {321-347}, Month = {OCT 2}, Abstract = {There is a great deal of interest in addressing humanitarian logistics due to the need for emergency services in the case of disaster. Controlling both operational and disruption uncertainties in the emergency management is one of challenging topics lately to propose a robust plan for humanitarian logistics. Designing a robust and resilient humanitarian relief chain networks under both operational and disruptive risks can ensure the delivery of the essential supplies to beneficiaries. In this paper, a humanitarian logistic network design with multiple central warehouses and local distribution centres in an integrated manner is addressed by a novel scenario-based possibilistic-stochastic programming approach. The main real-life application of the proposed methodology is to consider the transportation network's routes after an earthquake to provide a plan against uncertainty in whole levels of supply chain along with its availability. To this end, a real case study of Mazandaran province in the north of Iran is provided to validate our methodology as well as a comprehensive discussion and managerial insights are concluded from the results.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Fathollahi-Fard, AM (Corresponding Author), Amirkabir Univ Technol, Dept Ind Engn \& Management Syst, 424 Hafez Ave, Tehran, Iran. Fathollahi-Fard, AM (Corresponding Author), Univ Quebec, Dept Elect Engn, Ecole Technol Super, Montreal, PQ, Canada. Nezhadroshan, Ali Mehdi, Islamic Azad Univ, Dept Management, Tehran, Iran. Fathollahi-Fard, Amir Mohammad, Amirkabir Univ Technol, Dept Ind Engn \& Management Syst, 424 Hafez Ave, Tehran, Iran. Fathollahi-Fard, Amir Mohammad, Univ Quebec, Dept Elect Engn, Ecole Technol Super, Montreal, PQ, Canada. Hajiaghaei-Keshteli, Mostafa, Univ Sci \& Technol Mazandaran, Dept Ind Engn, Behshahr, Iran.}, DOI = {10.1080/23302674.2020.1769766}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Stochastic programming; supply chain; humanitarian logistics; relief chain; resiliency; multiple disasters}, Keywords-Plus = {SUPPLY CHAIN RESILIENCE; CHANCE CONSTRAINTS APPLICATION; DECISION-MAKING MODEL; NETWORK DESIGN; EXPECTED OBJECTIVES; ROBUST OPTIMIZATION; DISASTER RELIEF; MANAGEMENT; EMERGENCY; SELECTION}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {amirfard@aut.ac.ir}, Affiliations = {Islamic Azad University; Amirkabir University of Technology; University of Quebec; University of Quebec Montreal; Ecole de Technologie Superieure - Canada; University of Science \& Technology of Mazandaran}, ResearcherID-Numbers = {Hajiaghaei-Keshteli, Mostafa/Y-4046-2019 Fathollahi-Fard, Amir Mohammad/AAS-7520-2020}, ORCID-Numbers = {Hajiaghaei-Keshteli, Mostafa/0000-0002-9988-2626 Fathollahi-Fard, Amir Mohammad/0000-0002-5939-9795}, Cited-References = {Abdi A, 2021, INT J SYST SCI-OPER, V8, P23, DOI 10.1080/23302674.2019.1610197. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {13}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {VD094}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996VD09400006}, DA = {2026-04-14}, } @article{ WOS:000919916300001, Author = {Sandivari, Luis Yanez and Cortes, Cristian E. and Rey, Pablo A. A.}, Title = {Integrated risk averse and possibilistic humanitarian logistic model with social costs and material convergence}, Journal = {INFOR}, Year = {2023}, Volume = {61}, Number = {2}, Pages = {199-232}, Month = {MAY 2}, Abstract = {A stepwise development is proposed for the construction of a model that comprehensively solves the disaster planning and response problem. In addition to traditional logistics costs, the suggested approach incorporates response time sensitivity, social costs related to post-disaster deprivation, the impact of material convergence, and measurable and epistemic uncertainty. Starting from a stochastic model based on previously published scenarios, the global costs of the scenarios are minimized using the expected value of the parameters, in a risk-averse bi-objective function that also optimizes the robustness of the model by minimizing the variability of the parameters whose probabilities are known. Finally, the complexity arising from imprecise parameter values with unknown probabilities is addressed by using chance-constrained fuzzy programming to optimize the risk associated with inter-scenario cost variability and feasibility of the constraints. This formulation is applied to real case study data, demonstrating that both the overall costs and the social cost component of the costs decrease progressively from the base formulation. The model allows the decision-maker to test the sensitivity of the results and thus set the uncertainty parameters and the incorporation of multiple objectives accordingly.}, Publisher = {TAYLOR \& FRANCIS INC}, Address = {530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA}, Type = {Article}, Language = {English}, Affiliation = {Sandivari, LY (Corresponding Author), Univ Santo Tomas, Escuela Ingn Ind, Santiago, Chile. Sandivari, Luis Yanez, Univ Santo Tomas, Escuela Ingn Ind, Santiago, Chile. Sandivari, Luis Yanez, Univ Chile, Sistemas Ingn, Santiago, Chile. Cortes, Cristian E., Univ Chile, Dept Ingn Civil, Santiago, Chile. Cortes, Cristian E., Inst Sistemas Complejos Ingn ISCI, Santiago, Chile. Rey, Pablo A. A., Univ Tecnol Metropolitana, Dept Ind, Santiago, Chile. Rey, Pablo A. A., Univ Tecnol Metropolitana, Programa Inst Fomento Invest Desarrollo \& Innovac, Santiago, Chile.}, DOI = {10.1080/03155986.2023.2168583}, EarlyAccessDate = {JAN 2023}, ISSN = {0315-5986}, EISSN = {1916-0615}, Keywords = {Humanitarian logistic; possibilistic modeling; robust optimization; sociotechnical problem; fuzzy optimization}, Keywords-Plus = {ROBUST OPTIMIZATION; NETWORK DESIGN; LOCATION; ALLOCATION}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Information Systems; Operations Research \& Management Science}, Author-Email = {lyanez3@santotomas.cl}, Affiliations = {Universidad Santo Tomas; Universidad de Chile; Universidad de Chile; Universidad Tecnologica Metropolitana; Universidad Tecnologica Metropolitana}, ResearcherID-Numbers = {Cortés, Cristián E/A-1491-2010 }, ORCID-Numbers = {Rey, Pablo/0000-0002-1337-4701 Cortés, Cristián E/0000-0001-7041-4602 Yáñez-Sandivari, luis/0000-0001-5794-5249}, Funding-Acknowledgement = {Agencia Nacional de Investigacion y Desarrollo ANID/Fondo Nacional de Desarrollo Cientifico y Tecnologico FONDECYT/REGULAR {[}1191200]; BECAS CHILE ANID {[}23190332]; ANID PIA/PUENTE {[}AFB220003]}, Funding-Text = {This work was supported by project Agencia Nacional de Investigacion y Desarrollo ANID/Fondo Nacional de Desarrollo Cientifico y Tecnologico FONDECYT/REGULAR \# 1191200; BECAS CHILE ANID \# 23190332; and ANID PIA/PUENTE AFB220003.}, Cited-References = {Aldunce P, 2015, GLOBAL ENVIRON CHANG, V30, P1, DOI 10.1016/j.gloenvcha.2014.10.010. {[}Anonymous], 2009, Theory and Practice of Uncertain Programming. 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Yu CS, 2000, INT J PROD ECON, V64, P385, DOI 10.1016/S0925-5273(99)00074-2.}, Number-of-Cited-References = {37}, Times-Cited = {5}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {37}, Journal-ISO = {Infor}, Doc-Delivery-Number = {E5WS2}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000919916300001}, DA = {2026-04-14}, } @article{ WOS:000305212800003, Author = {Vahdani, Behnam and Jolai, Fariborz and Tavakkoli-Moghaddam, Reza and Mousavi, S. Meysam}, Title = {Two fuzzy possibilistic bi-objective zero-one programming models for outsourcing the equipment maintenance problem}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2012}, Volume = {44}, Number = {7}, Pages = {801-820}, Abstract = {Maintenance outsourcing can be regarded as a strategic weapon to increase productivity and customer satisfaction in many companies, and this critical activity can be performed in a more efficient and effective way. This article presents two novel fuzzy possibilistic bi-objective zero-one programming (FPBOZOP) models for outsourcing of the equipment maintenance. In these models, cost parameters, including outsourcing cost, risk cost, time operations for performing the equipment maintenance and reliability level, as well as other influential parameters are considered through the outsourcing process. Moreover, the presented models can measure the capability of the company in doing different activities, unlike previous studies, in order to see the possibility of maintenance in-house, and can lead to make a best decision on the basis of the models' results. Both models are developed under uncertainty, which bring top managers the possibility of assigning more than one equipment or project to the supplier so that the profit is maximized, and the cost is minimized by considering bi-objectives concurrently. Then, a new fuzzy mathematical programming based possibilistic approach is introduced as a solution methodology from the recent literature to solve the proposed bi-objective zero-one programming (BOZOP) models and to reach a preferred compromise solution. Furthermore, a real-case study is utilized to demonstrate and to validate the effectiveness of the presented models. The computational results revealed that the models can be implemented in variety of problems in the domain of the equipment maintenance outsourcing and project outsourcing either from theory or application perspectives.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Vahdani, B (Corresponding Author), Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Vahdani, Behnam; Jolai, Fariborz; Tavakkoli-Moghaddam, Reza; Mousavi, S. Meysam, Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1080/0305215X.2011.613465}, ISSN = {0305-215X}, EISSN = {1029-0273}, Keywords = {maintenance outsourcing; fuzzy optimization; bi-objective zero-one programming; possibilistic programming}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {b.vahdani@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Jolai, Fariborz/B-4406-2012 Tavakkoli-Moghaddam, Reza/P-1948-2015 vahdani, behnam/AAU-9080-2021}, ORCID-Numbers = {Jolai, Fariborz/0000-0003-0824-8513 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X vahdani, behnam/0000-0001-9850-2698}, Cited-References = {Afshar A, 2009, ENG OPTIMIZ, V41, P1063, DOI 10.1080/03052150902943004. Ahmed RE, 2006, COMPUT ELECTR ENG, V32, P449, DOI 10.1016/j.compeleceng.2006.01.023. 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Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Wang JT, 2007, EUR J OPER RES, V177, P1044, DOI 10.1016/j.ejor.2005.12.032. Wang RC, 2005, INT J PROD ECON, V98, P328, DOI 10.1016/j.ijpe.2004.09.011. Wang WB, 2010, EUR J OPER RES, V201, P239, DOI 10.1016/j.ejor.2009.02.018. Werners B.M., 1988, MATH MODELS DECISION, P295, DOI DOI 10.1007/978-3-642-83555-1\_19. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {45}, Times-Cited = {15}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {958CC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000305212800003}, DA = {2026-04-14}, } @article{ WOS:000876841100001, Author = {Zarrinpoor, Naeme}, Title = {A sustainable medical waste management system design in the face of uncertainty and risk during COVID-19}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2023}, Volume = {22}, Number = {3}, Pages = {519-554}, Month = {SEP}, Abstract = {COVID-19's developing trend has put the waste management systems of governments all over the world in jeopardy. The increasing rise of infectious medical waste has now become a serious problem. This paper presents a multi-period multi-objective model for designing a medical waste management system during the COVID-19 pandemic. The model aims to reduce total costs of infectious medical waste management while also reducing the environmental impact of treatment centers, disposal centers, and transportation. It also aims to maximize the suitability of treatment technology based on social considerations and reduce the risk associated with processing and transporting COVID-19 waste. Different strategic and operational decisions are taken into account that include the selection of treatment technologies, the location of treatment and disposal centers, the flow of generated medical waste between facilities, and the number of vehicles required for the medical waste transport. The model tackles the uncertainty associated with model parameters, and it uses a credibility-based possibilistic programming method to deal with uncertainties. The suggested model is solved using an interactive fuzzy programming method and the importance of social indicators for selecting treatment technology is determined using the fuzzy best-worst approach. The effectiveness of the model is demonstrated by a practical case study in Shiraz, Iran. The numerical results can help system designers to achieve the most suitable trade-off between the sustainability goals and the safety viewpoint.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Zarrinpoor, N (Corresponding Author), Shiraz Univ Technol, Shiraz, Iran. Zarrinpoor, Naeme, Shiraz Univ Technol, Shiraz, Iran.}, DOI = {10.1007/s10700-022-09401-3}, EarlyAccessDate = {NOV 2022}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {COVID-19; Medical waste management; Sustainability; Risk; Uncertainty; Possibilistic programming; Fuzzy best-worst method}, Keywords-Plus = {SUPPLY CHAIN}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {zarrinpoor@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {zarrinpoor, naeme/0000-0002-3002-9512}, Cited-References = {{[}Anonymous], 2014, Global Standard-Setting Bodies and Financial Inclusion-The Evolving Landscape. Tirkolaee EB, 2021, WASTE MANAGE RES, V39, P34, DOI 10.1177/0734242X211000437. Eren E, 2021, COMPUT IND ENG, V157, DOI 10.1016/j.cie.2021.107328. 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Mak.}, Doc-Delivery-Number = {M8XJ8}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000876841100001}, OA = {Green Accepted, Bronze}, DA = {2026-04-14}, } @article{ WOS:000238615600001, Author = {Alberto Campos, F. and Villar, J. and Jimenez, M.}, Title = {Robust solutions using fuzzy chance constraints}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2006}, Volume = {38}, Number = {6}, Pages = {627-645}, Month = {SEP}, Abstract = {It is well known that optimization problems for the decision-making process in real environments should consider uncertainty to attain robust solutions. Although this uncertainty has been usually modelled using probability theory, assuming a random origin, possibility theory has emerged as an alternative uncertainty model when statistical information is not available, or when imprecision and vagueness have to be considered. This article proposes two different criteria to obtain robust solutions for linear optimization problems when the objective function coefficients are modelled with possibility distributions. To do so, chance constrained programming is used, leading to equivalent crisp optimization problems, which can be solved by commercial optimization software. A simple case example is presented to illustrate the use of the proposed methodology.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Campos, FA (Corresponding Author), Univ Pontificia Comillas Madrid, Inst Invest Tecnol, C Santa Cruz de Marcenado 26, Madrid 28015, Spain. Univ Pontificia Comillas Madrid, Inst Invest Tecnol, Madrid 28015, Spain. Univ Malaga, Dept Estadist \& Econometria, E-29071 Malaga, Spain.}, DOI = {10.1080/03052150600603165}, ISSN = {0305-215X}, EISSN = {1029-0273}, Keywords = {robustness; possibility theory; fuzzy linear programming; chance constraints}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; OPTIMIZATION; APPROXIMATE; SETS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {alberto.campos@iit.upco.es}, Affiliations = {Comillas Pontifical University; Universidad de Malaga}, ORCID-Numbers = {Villar, José/0000-0001-6954-9833}, Cited-References = {{[}Anonymous], COIN-OR Linear Programming. {[}Anonymous], AMPL MODELLING LANGU. AVERBAKH L, 2000, MATH PROGM A, V90, P263. BAJALINOV EB, 1993, EUR J OPER RES, V67, P295. Ben-Tal A, 1998, MATH OPER RES, V23, P769, DOI 10.1287/moor.23.4.769. Ben-Tal A, 2000, MATH PROGRAM, V88, P411, DOI 10.1007/PL00011380. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. ZADEH LA, 1975, INFORMATION SCI, V8, P9. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {65}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {057SN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000238615600001}, DA = {2026-04-14}, } @article{ WOS:A1994NZ36700005, Author = {JULIEN, B}, Title = {AN EXTENSION TO POSSIBILISTIC LINEAR-PROGRAMMING}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1994}, Volume = {64}, Number = {2}, Pages = {195-206}, Month = {JUN 10}, Abstract = {This paper proposes an extension to the solution of possibilistic linear programming problems with fuzzy number parameters (introduced by Buckley {[}Fuzzy Sets and Systems 31 (1989) 329-341]). The method relies on alpha-cuts of the fuzzy number parameters to generate a succession of pairs of classical linear programs. The solutions of these linear programs produce a convex possibility distribution of the optimal objective values with the corresponding levels of the decision variables. The approach is illustrated with an imprecise water quality management problem.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {JULIEN, B (Corresponding Author), CTR RECH INFORMAT MONTREAL, 1801 MCGILL COLL AVE, SUITE 800, MONTREAL H3A 2N4, PQ, CANADA.}, DOI = {10.1016/0165-0114(94)90333-6}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {POSSIBILISTIC PROGRAMMING; LINEAR PROGRAMMING; DECISION MAKING; ENGINEERING; WATER MANAGEMENT}, Keywords-Plus = {FUZZY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {ADAMS BJ, 1988, WATER RESOURCES SYST. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BUCKLEY JJ, 1990, FUZZY SET SYST, V35, P23, DOI 10.1016/0165-0114(90)90015-X. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. Zimmermann H.J., 1987, FUZZY SETS DECISION. Zimmermann H.-J., 1985, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {36}, Times-Cited = {60}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {NZ367}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1994NZ36700005}, DA = {2026-04-14}, } @article{ WOS:000319047400007, Author = {Vahdani, Behnam and Tavakkoli-Moghaddam, Reza and Jolai, Fariborz and Baboli, Arman}, Title = {Reliable design of a closed loop supply chain network under uncertainty: An interval fuzzy possibilistic chance-constrained model}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2013}, Volume = {45}, Number = {6}, Pages = {745-765}, Month = {JUN 1}, Abstract = {This article seeks to offer a systematic approach to establishing a reliable network of facilities in closed loop supply chains (CLSCs) under uncertainties. Facilities that are located in this article concurrently satisfy both traditional objective functions and reliability considerations in CLSC network designs. To attack this problem, a novel mathematical model is developed that integrates the network design decisions in both forward and reverse supply chain networks. The model also utilizes an effective reliability approach to find a robust network design. In order to make the results of this article more realistic, a CLSC for a case study in the iron and steel industry has been explored. The considered CLSC is multi-echelon, multi-facility, multi-product and multi-supplier. Furthermore, multiple facilities exist in the reverse logistics network leading to high complexities. Since the collection centres play an important role in this network, the reliability concept of these facilities is taken into consideration. To solve the proposed model, a novel interactive hybrid solution methodology is developed by combining a number of efficient solution approaches from the recent literature. The proposed solution methodology is a bi-objective interval fuzzy possibilistic chance-constraint mixed integer linear programming (BOIFPCCMILP). Finally, computational experiments are provided to demonstrate the applicability and suitability of the proposed model in a supply chain environment and to help decision makers facilitate their analyses.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Vahdani, B (Corresponding Author), Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Vahdani, Behnam; Tavakkoli-Moghaddam, Reza; Jolai, Fariborz, Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Baboli, Arman, Inst Natl Sci Appl, DISP Lab, F-69621 Villeurbanne, France.}, DOI = {10.1080/0305215X.2012.704029}, ISSN = {0305-215X}, Keywords = {closed loop supply chain; network design; reliability; interval programming; fuzzy possibilistic; chance-constrained programming}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; SOLID-WASTE MANAGEMENT; LINEAR-PROGRAMMING PROBLEMS; WATER-QUALITY MANAGEMENT; OPTIMIZATION MODEL; FACILITY LOCATION; PRODUCT RECOVERY; SYSTEMS; SERVICE}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {b.vahdani@gmail.com}, Affiliations = {University of Tehran; Institut National des Sciences Appliquees de Lyon - INSA Lyon}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Jolai, Fariborz/B-4406-2012 vahdani, behnam/AAU-9080-2021 Baboli, Armand/A-5221-2015}, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Jolai, Fariborz/0000-0003-0824-8513 vahdani, behnam/0000-0001-9850-2698 }, Cited-References = {BAETZ BW, 1990, J URBAN PLAN D-ASCE, V116, P59, DOI 10.1061/(ASCE)0733-9488(1990)116:2(59). 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Werners B.M., 1988, MATH MODELS DECISION, P295, DOI DOI 10.1007/978-3-642-83555-1\_19. Xu Y, 2010, ADV WATER RESOUR, V33, P997, DOI 10.1016/j.advwatres.2010.06.002. Zhang YM, 2011, J ENVIRON MANAGE, V92, P522, DOI 10.1016/j.jenvman.2010.09.011. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {43}, Times-Cited = {76}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {103}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {145VQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000319047400007}, DA = {2026-04-14}, } @article{ WOS:000254814800008, Author = {Li, Y. P. and Huang, G. H. and Nie, X. H. and Nie, S. L.}, Title = {A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2008}, Volume = {189}, Number = {2}, Pages = {399-420}, Month = {SEP 1}, Abstract = {In this study, a two-stage fuzzy robust integer programming (TFRIP) method has been developed for planning environmental management systems under uncertainty. This approach integrates techniques of robust programming and two-stage stochastic programming within a mixed integer linear programming framework. It can facilitate dynamic analysis of capacity-expansion planning for waste management facilities within a multi-stage context. In the modeling formulation, uncertainties can be presented in terms of both possibilistic and probabilistic distributions, such that robustness of the optimization process could be enhanced. In its solution process, the fuzzy decision space is delimited into a more robust one by specifying the uncertainties through dimensional enlargement of the original fuzzy constraints. The TFRIP method is applied to a case study of long-term waste-management planning under uncertainty. The generated solutions for continuous and binary variables can provide desired waste-flow-allocation and capacity-expansion plans with a minimized system cost and a maximized system feasibility. (C) 2007 Published by Elsevier B.V.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Huang, GH (Corresponding Author), Univ Regina, Fac Engn, Environm Syst Engn Program, Regina, SK S4S 0A2, Canada. Li, Y. P.; Huang, G. H.; Nie, X. H., Univ Regina, Fac Engn, Environm Syst Engn Program, Regina, SK S4S 0A2, Canada. Li, Y. P., Dalhousie Univ, Dept Civil \& Resource Engn, Halifax, NS B3J 1Z1, Canada. Huang, G. H., Chinese Res Inst Environm Sci, Beijing 100012, Peoples R China. Nie, S. L., Huazhong Univ Sci \& Technol, Sch Mech Sci \& Engn, Wuhan 430074, Peoples R China.}, DOI = {10.1016/j.ejor.2007.05.014}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {decision-making; environment; integer programming; robust programming; two-stage stochastic; uncertainty}, Keywords-Plus = {SOLID-WASTE MANAGEMENT; STOCHASTIC OPTIMIZATION; LINEAR-PROGRAMS; UNCERTAINTY; MODEL; DECOMPOSITION; ALGORITHM}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {huang@iseis.org}, Affiliations = {University of Regina; Dalhousie University; Chinese Research Academy of Environmental Sciences; Huazhong University of Science \& Technology}, ResearcherID-Numbers = {Huang, Guohe/H-5306-2011 Li, Yongping/AAF-3298-2019}, ORCID-Numbers = {Huang, Guohe/0000-0003-4974-3019 Li, Yongping/0000-0002-3253-4088}, Cited-References = {Ahmed S, 2004, MATH PROGRAM, V100, P355, DOI 10.1007/s10107-003-0475-6. 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Res.}, Doc-Delivery-Number = {285ZN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000254814800008}, DA = {2026-04-14}, } @article{ WOS:000087126300010, Author = {Lee, J and Liu, KFR and Chiang, WL}, Title = {A possibilistic-logic-based approach to integrating imprecise and uncertain information}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2000}, Volume = {113}, Number = {2}, Pages = {309-322}, Month = {JUL 16}, Abstract = {A reasoning mechanism capable of dealing with imprecise and uncertain information is essential for expert systems. In this paper, we propose the use of truth-qualified fuzzy propositions as the representation of imprecise and uncertain information, where the fuzzy sets embody the intended meaning of imprecise information and the fuzzy truth values serve as the representation of uncertainty for its capability to express the possibility of the degree of truth of a fuzzy proposition. An inference mechanism for fuzzy propositions with fuzzy truth values is developed to serve as a bridge that brings together the possibilistic reasoning and fuzzy reasoning into a hybrid approach to reasoning under uncertainty and imprecision. There are three steps involved. First, the fuzzy rules and fuzzy facts with fuzzy truth values are transformed into a set of uncertain classical propositions with necessity and possibility measures. Second, a possibilistic reasoning called possibilistic entailment is performed on the set of uncertain classical propositions. Third, we reverse the process in the first step to synthesize all the classical sets obtained in the second step into a fuzzy set, and to compose necessity and possibility pairs to form a fuzzy truth value. (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Lee, J (Corresponding Author), Natl Cent Univ, Dept Comp Sci \& Informat Engn, Chungli 32054, Taiwan. Natl Cent Univ, Dept Comp Sci \& Informat Engn, Chungli 32054, Taiwan. Natl Cent Univ, Dept Civil Engn, Chungli 32054, Taiwan.}, DOI = {10.1016/S0165-0114(98)00039-6}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {expert systems; imprecision; uncertainty; possibilistic entailment; fuzzy truth value; fuzzy reasoning}, Keywords-Plus = {EXPERT-SYSTEMS; INFERENCE; APPROXIMATE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yjlee@se0l.csie.ncu.edu.tw}, Affiliations = {National Central University; National Central University}, Cited-References = {Bellman R.E., 1977, Modern Uses of Multiple-Valued Logic, P103. BONISSONE PP, 1985, INT J MAN MACH STUD, V22, P241, DOI 10.1016/S0020-7373(85)80001-8. DEBAETS B, 1993, FUZZY SET SYST, V60, P109, DOI 10.1016/0165-0114(93)90296-T. DEBAETS B, 1994, FUZZY SET SYST, V62, P295, DOI 10.1016/0165-0114(94)90114-7. 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ZADEH LA, 1976, INFORMATION SCI 1, P199.}, Number-of-Cited-References = {26}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {315RG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000087126300010}, DA = {2026-04-14}, } @article{ WOS:000367698100028, Author = {Subulan, Kemal and Baykasoglu, Adil and Ozsoydan, Fehmi B. and Tasan, A. Serdar and Selim, Hasan}, Title = {A case-oriented approach to a lead/acid battery closed-loop supply chain network design under risk and uncertainty}, Journal = {JOURNAL OF MANUFACTURING SYSTEMS}, Year = {2015}, Volume = {37}, Number = {1}, Pages = {340-361}, Month = {OCT}, Abstract = {Anew scenario based stochastic and possibilistic mixed integer programming model for a multi-objective closed-loop supply chain network design problem by considering financial and collection risks is proposed. Uncertainties in the form of randomness and fuzziness are handled together for a better reflection of the problem. Different risk measures such as ``variability index{''}, ``downside risk{''} and ``conditional value at risk{''} are integrated within the proposed model. Particularly, for the downside risk measure, target/threshold values are considered as fuzzy and described by their own possibility distribution. The proposed hybrid model is applied to an illustrative example inspired by the lead/acid industry in Turkey. Computational results of applying the different risk measures suggest that using downside risk model with fuzzy targets is found to be an appropriate choice for the stated closed-loop supply chain network design problem in terms of ``computational efficiency{''}, ``handling uncertainty{''} and ``solution quality{''} (C) 2014 The Society of Manufacturing Engineers. Published by Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Baykasoglu, A (Corresponding Author), Dokuz Eylul Univ, Fac Engn, Dept Ind Engn, Izmir, Turkey. Subulan, Kemal; Baykasoglu, Adil; Ozsoydan, Fehmi B.; Tasan, A. Serdar; Selim, Hasan, Dokuz Eylul Univ, Fac Engn, Dept Ind Engn, Izmir, Turkey.}, DOI = {10.1016/j.jmsy.2014.07.013}, ISSN = {0278-6125}, EISSN = {1878-6642}, Keywords = {Closed-loop supply chain network design; Risk management; Stochastic programming; Possibilistic programming; Mixed-integer programming}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; VALUE-AT-RISK; PROGRAMMING APPROACH; STOCHASTIC-MODEL; FUZZY; OPTIMIZATION; INVENTORY; SYSTEM}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {adil.baykasoglu@deu.edu.tr}, Affiliations = {Dokuz Eylul University}, ResearcherID-Numbers = {Selim, Hasan/S-2554-2019 Tasan, A./P-8365-2019 Ozsoydan, Fehmi Burcin/AAC-5530-2019 Baykasoglu, Adil/G-4311-2010 Subulan, Kemal/P-2090-2019}, ORCID-Numbers = {Ozsoydan, Fehmi Burcin/0000-0002-6368-4425 Baykasoglu, Adil/0000-0002-4952-7239 }, Cited-References = {Ahmed S, 1998, IND ENG CHEM RES, V37, P1883, DOI 10.1021/ie970694t. 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Qiang Q, 2013, OMEGA-INT J MANAGE S, V41, P186, DOI 10.1016/j.omega.2011.08.011. Ramezani M, 2013, APPL MATH MODEL, V37, P328, DOI 10.1016/j.apm.2012.02.032. Rockafellar R.T., 2000, J RISK, V2, P21, DOI {[}10.21314/JOR.2000.038, DOI 10.21314/JOR.2000.038]. Rockafellar RT, 2002, J BANK FINANC, V26, P1443, DOI 10.1016/S0378-4266(02)00271-6. Schultz R, 2006, MATH PROGRAM, V105, P365, DOI 10.1007/s10107-005-0658-4. Shah N, 2004, COMPUT CHEM ENG, V28, P929, DOI 10.1016/j.compchemeng.2003.09.022. Subulan K, 2012, J INTELL FUZZY SYST, V23, P345, DOI 10.3233/IFS-2012-0525. Uryasev S, 2000, FINANC ENG NEWS, V14. Wang HF, 2010, J ENVIRON MANAGE, V91, P2148, DOI 10.1016/j.jenvman.2010.05.009. Wu DSD, 2013, MATH COMPUT MODEL, V58, P1581, DOI 10.1016/j.mcm.2013.07.004. You FQ, 2009, AICHE J, V55, P931, DOI 10.1002/aic.11721.}, Number-of-Cited-References = {37}, Times-Cited = {84}, Usage-Count-Last-180-days = {6}, Usage-Count-Since-2013 = {100}, Journal-ISO = {J. Manuf. Syst.}, Doc-Delivery-Number = {DA3LF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000367698100028}, DA = {2026-04-14}, } @article{ WOS:000315080300016, Author = {Tsaur, Ruey-Chyn}, Title = {Fuzzy portfolio model with different investor risk attitudes}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2013}, Volume = {227}, Number = {2}, Pages = {385-390}, Month = {JUN 1}, Abstract = {We propose a fuzzy portfolio model designed for efficient portfolio selection with respect to uncertain or vague returns. Although many researchers have studied the fuzzy portfolio model, no researcher has yet attempted a behavioral analysis of the investor in the fuzzy portfolio model. To address this problem, we examined investor risk attitudes risk-averse, risk-neutral, or risk-seeking behaviors to discover an efficient method for fuzzy portfolio selection. In this study, we relied on the advantages of possibilistic mean-standard deviation models that we believed would fit the risk attitudes of investors. Thus, we developed a fuzzy portfolio model that focuses on different investor risk attitudes so that fuzzy portfolio selection for investors who possess different risk attitudes can be achieved more easily. Finally, we presented a numerical example of a portfolio selection problem to illustrate ways to address problems presented by a variety of investor risk attitudes. (C) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tsaur, RC (Corresponding Author), Tamkang Univ, Dept Management Sci, 151 Yingzhuan Rd, New Taipei City 25137, Taiwan. Tamkang Univ, Dept Management Sci, New Taipei City 25137, Taiwan.}, DOI = {10.1016/j.ejor.2012.10.036}, ISSN = {0377-2217}, Keywords = {Decision analysis; Fuzzy portfolio model; Risk attitude; Possibilistic mean-standard deviation model}, Keywords-Plus = {SELECTION PROBLEM; POSSIBILITY DISTRIBUTIONS; BOUNDED ASSETS; VARIANCE; CONSTRAINTS; ALGORITHM; FRONTIER; NUMBERS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {rctsaur@yahoo.com.tw}, Affiliations = {Tamkang University}, Funding-Acknowledgement = {National Science Foundation {[}NSC 101-2410-H-032-006]}, Funding-Text = {The authors gratefully acknowledge financial support from National Science Foundation with Project No. NSC 101-2410-H-032-006.}, Cited-References = {{[}Anonymous], WORKING PAPER BANK I. BEST MJ, 1990, J ECON BUS, V42, P105, DOI 10.1016/0148-6195(90)90027-A. 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Res.}, Doc-Delivery-Number = {091WK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000315080300016}, DA = {2026-04-14}, } @article{ WOS:001414262700001, Author = {Rahiminia, Shahab and Mehrabi, Amir and Jabbarzadeh, Armin and Aghaee, Mohsen Pourseyed}, Title = {A hybrid optimization approach for designing sustainable intermodal freight transport under mixed uncertainty}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2025}, Volume = {98}, Month = {APR}, Abstract = {Intermodal freight transport stands out as an innovative logistics solution for combating climate change. However, the intricacies of planning resilient and sustainable intermodal freight transport systems necessitate further investigation. Addressing this critical research gap, this paper introduces a pioneering hybrid optimization framework tailored for designing a robust rail-road intermodal network that prioritizes sustainability while navigating disruptions and operational uncertainties. This framework adopts a multi-period approach to model intricate intermodal operations, including mode-switching activities. It strategically determines optimal locations for intermodal terminals and makes tactical decisions regarding inventory management and transport planning. The goal is to enhance the sustainability performance of intermodal terminals while simultaneously minimizing the overall total cost and carbon emissions of the network. The sustainability assessment of intermodal terminals employs a variant of network data envelopment analysis, considering a range of conflicting measures. Furthermore, the proposed optimization approach integrates P-robust and possibilistic chanceconstraint programming to effectively mitigate disruption risks and operational uncertainties inherent in intermodal networks. To validate the efficacy of the proposed approach, two datasets are utilized, including a realworld case study of rail-road intermodal freight transport. The numerical findings showcase the significant benefits of this approach, demonstrating a remarkable 24 \% reduction in maximum regret with a negligible 1.4 \% increase in expected cost, highlighting its potential for sustainable and resilient intermodal freight transport systems. This research provides valuable insights for freight transport companies to enhance resilience against disruptions and manage operational uncertainties, while also contributing to societal goals of sustainable development through reduced environmental impacts.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Jabbarzadeh, A (Corresponding Author), Univ Quebec, Ecole Technol Super, Dept Syst Engn, Montreal, PQ, Canada. Rahiminia, Shahab, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Mehrabi, Amir; Aghaee, Mohsen Pourseyed, Iran Univ Sci \& Technol, Sch Railway Engn, Tehran, Iran. Jabbarzadeh, Armin, Univ Quebec, Ecole Technol Super, Dept Syst Engn, Montreal, PQ, Canada.}, DOI = {10.1016/j.seps.2024.102146}, EarlyAccessDate = {JAN 2025}, Article-Number = {102146}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Intermodal freight transport; Sustainability; Resilience; Disruption; Uncertainty; Network data envelopment analysis}, Keywords-Plus = {CHAIN NETWORK DESIGN; DISRUPTION; ROAD; RESILIENCE; LOGISTICS; MODEL; EXPANSION; DEA}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {shahabrahimi90@yahoo.com amir\_mehrabi@alumni.iust.ac.ir Armin.Jabbarzadeh@etsmtl.ca maghaee@iust.ac.ir}, Affiliations = {Iran University Science \& Technology; Iran University Science \& Technology; University of Quebec; Ecole de Technologie Superieure - Canada; University of Quebec Montreal}, ResearcherID-Numbers = {Pourseyed Aghaee, Mohsen/T-6287-2018 Jabbarzadeh, Armin/S-8809-2018}, ORCID-Numbers = {Rahiminia, Shahab/0000-0001-5772-8228 Pourseyed Aghaee, Mohsen/0000-0003-4290-3841 Jabbarzadeh, Armin/0000-0001-5109-7736}, Cited-References = {Agbo AA, 2017, COGENT ENG, V4, DOI 10.1080/23311916.2017.1421005. 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Sci.}, Doc-Delivery-Number = {U8M3I}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001414262700001}, DA = {2026-04-14}, } @article{ WOS:A1992KA55100005, Author = {HUSSEIN, ML}, Title = {ON CONVEX VECTOR OPTIMIZATION PROBLEMS WITH POSSIBILISTIC WEIGHTS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1992}, Volume = {51}, Number = {3}, Pages = {289-294}, Month = {NOV 10}, Abstract = {The convex vector optimization problem is characterized by using a parametric scalarization. The weighting norm approach with possibilistic distribution is used for characterizing the efficient points of the problem. The concept of alpha-possibly optimal solution is specified for the parametric approach with possibility data. A necessary and sufficient condition for such a solution is established. Some stability notions are redefined and analyzed for the possibilistic problem. A numerical example is given for the sake of illustration.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {HUSSEIN, ML (Corresponding Author), TANTA UNIV,FAC EDUC,KAFR AL SHEIKH,EGYPT.}, DOI = {10.1016/0165-0114(92)90019-Z}, ISSN = {0165-0114}, Keywords = {VECTOR OPTIMIZATION PROBLEMS (MULTICRITERIA ANALYSIS); POSSIBILISTIC VARIABLES; DECISION MAKING; ALPHA-POSSIBLY OPTIMAL; STABILITY NOTIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {Guddat J., 1985, MULTIOBJECTIVE STOCH. LUHANDJULA MK, 1987, FUZZY SET SYST, V21, P135, DOI 10.1016/0165-0114(87)90159-X. LUHANDJULA MK, 1986, FUZZY SET SYST, V18, P15, DOI 10.1016/0165-0114(86)90025-4. Osman M.S.A., 1983, CHARACTERIZATION BAS. OSMAN MSA, 1977, APPL MAT CSSR AKAD V. OSMAN MSA, 1976, 3RD ANN C O R.}, Number-of-Cited-References = {6}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {KA551}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992KA55100005}, DA = {2026-04-14}, } @article{ WOS:000240786600011, Author = {Hryniewicz, Olgierd}, Title = {Possibilistic decisions and fuzzy statistical tests}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {19}, Pages = {2665-2673}, Month = {OCT 1}, Abstract = {The paper deals with the problem of the interpretation of the results of statistical tests in terms of the theory of possibility. The well known concept in statistics of the observed test size p (also known as p-value and significance) has been given a new possibilistic interpretation and generalised for the case of imprecisely defined statistical hypotheses and vague statistical data. The proposed approach allows a practitioner to evaluate the test results using intuitive concepts of possibility, necessity or indifference. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hryniewicz, O (Corresponding Author), Syst Res Inst, Nevelska 6, PL-01447 Warsaw, Poland. Syst Res Inst, PL-01447 Warsaw, Poland.}, DOI = {10.1016/j.fss.2003.08.009}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {statistical decisions; fuzzy statistical tests; possibilistic indices}, Keywords-Plus = {RANDOM-VARIABLES; HYPOTHESES}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {hryniewi@ibspan.waw.pl}, ResearcherID-Numbers = {Hryniewicz, Olgierd/AAM-7092-2020}, ORCID-Numbers = {Hryniewicz, Olgierd/0000-0001-9877-508X}, Cited-References = {Arnold BF, 1996, METRIKA, V44, P119, DOI 10.1007/BF02614060. ARNOLD BF, 1995, FUZZY SET SYST, V75, P365, DOI 10.1016/0165-0114(94)00362-B. CASALS MR, 1986, EUR J OPER RES, V27, P371, DOI 10.1016/0377-2217(86)90333-4. CUTELL V, 1999, PREFERENCE DECISIONS, P33. DUBOIS D, 1986, EUR J OPER RES, V25, P345, DOI 10.1016/0377-2217(86)90266-3. DUBOIS D, 1983, INFORMATION SCI, V30, P184. 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Taheri SM, 1999, METRIKA, V49, P3, DOI 10.1007/s001840050021. WATANABE N, 1993, FUZZY SET SYST, V53, P167, DOI 10.1016/0165-0114(93)90170-M. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {24}, Times-Cited = {28}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {088BN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000240786600011}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000259366100005, Author = {Mula, J. and Poler, R. and Garcia-Sabater, J. P.}, Title = {Capacity and material requirement planning modelling by comparing deterministic and fuzzy models}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2008}, Volume = {46}, Number = {20}, Pages = {5589-5606}, Abstract = {A model for the capacity and material requirement planning problem with uncertainty in a multi-product, multi-level and multi-period manufacturing environment is proposed. An optimization model is formulated which takes into account the uncertainty that exists in both the market demand and capacity data, and the uncertain costs for backlog. This work uses the concept of possibilistic programming by comparing trapezoidal fuzzy numbers. Such an approach makes it possible to model the ambiguity in market demand, capacity data, cost information, etc. that could be present in production planning systems. The main goal is to determine the master production schedule, stock levels, backlog, and capacity usage levels over a given planning horizon in such a way as to hedge against the uncertainty. Finally, the fuzzy model and the deterministic model adopted as the basis of this work are compared using real data from an automobile seat manufacturer. The paper concludes that fuzzy numbers could improve the solution of production planning problems.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Mula, J (Corresponding Author), Univ Politecn Valencia, Res Ctr Prod Management \& Engn CIGIP, Valencia, Spain. Mula, J.; Poler, R., Univ Politecn Valencia, Res Ctr Prod Management \& Engn CIGIP, Valencia, Spain. Garcia-Sabater, J. P., Univ Politecn Valencia, Business Management Dept, Valencia, Spain.}, DOI = {10.1080/00207540701413912}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {production planning; uncertainty modelling; fuzzy methods; possibility theory}, Keywords-Plus = {UNCERTAINTY; STABILITY; MRP}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {fmula@cigip.upv.es}, Affiliations = {Universitat Politecnica de Valencia; Universitat Politecnica de Valencia}, ResearcherID-Numbers = {Garcia-Sabater, Jose/AAA-9190-2019 Mula, Josefa/F-4804-2012 Poler, Raul/D-2549-2012}, ORCID-Numbers = {Mula, Josefa/0000-0002-8447-3387 Poler, Raul/0000-0003-4475-6371}, Funding-Acknowledgement = {Polytechnic University of Valencia}, Funding-Text = {This research has been carried out in the framework of a project funded by the Polytechnic University of Valencia, titled `Development of fuzzy mathematical programming models for production planning in context of uncertainty. 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Whybark D.C., 1976, DECISION SCI, V7, P595, DOI {[}10.1111/j.1540-5915.1976.tb00704.x, DOI 10.1111/J.1540-5915.1976.TB00704.X]. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.-J. (Hans-Ju-rgen)., 1996, FUZZY SET THEORY ITS, VThird, DOI {[}DOI 10.1007/978-94-010-0646-0, 10.1007/978-94-015-8702-0]. ZIMMERMANN HJ, 2000, FUZZY SETS OPERATION.}, Number-of-Cited-References = {44}, Times-Cited = {37}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {49}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {350PR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000259366100005}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000337852900023, Author = {Guillaume, Romain and Houe, Raymond and Grabot, Bernard}, Title = {Robust competence assessment for job assignment}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2014}, Volume = {238}, Number = {2}, Pages = {630-644}, Month = {OCT 16}, Abstract = {Allocating the right person to a task or job is a key issue for improving quality and performance of achievements, usually addressed using the concept of ``competences{''}. Nevertheless, providing an accurate assessment of the competences of an individual may be in practice a difficult task. We suggest in this paper to model the uncertainty on the competences possessed by a person using a possibility distribution, and the imprecision on the competences required for a task using a fuzzy constraint, taking into account the possible interactions between competences using a Choquet integral. As a difference with comparable approaches, we then suggest to perform the allocation of persons to jobs using a robust optimisation approach, allowing to minimise the risk taken by the decision maker. We first apply this framework to the problem of selecting a candidate within n for a job, then extend the method to the problem of selecting c candidates for j jobs (c >= j) using the leximin criterion. (C) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Grabot, B (Corresponding Author), Univ Toulouse, INPT, LGP ENIT, 47 Ave Azereix,BP 1629, F-65016 Tarbes, France. Guillaume, Romain, Univ Toulouse, IRIT, F-31058 Toulouse 1, France. Houe, Raymond; Grabot, Bernard, Univ Toulouse, INPT, LGP ENIT, F-65016 Tarbes, France.}, DOI = {10.1016/j.ejor.2014.04.022}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Competence assessment; Choquet integral; Possibility theory; Uncertainty; Human workforce assignment}, Keywords-Plus = {TEAM SELECTION; FUZZY; DECISION; OPTIMIZATION; INFORMATION; ALLOCATION; PLACEMENT}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {Guillaum@irit.fr rhoue@enit.fr bernard.grabot@enit.fr}, Affiliations = {Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse}, ORCID-Numbers = {Houé Ngouna, Raymond/0000-0003-2468-3283}, Cited-References = {{[}Anonymous], 2015, ISO 9000:2015 - Quality management systems - Fundamentals and vocabulary. 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C. and Das, D.}, Title = {Multi-objective particle swarm optimization based on fuzzy-Pareto-dominance for possibilistic planning of electrical distribution systems incorporating distributed generation}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2013}, Volume = {213}, Pages = {47-73}, Month = {FEB 16}, Abstract = {This paper presents a multi-objective planning approach for electrical distribution systems under uncertainty in load demand incorporating distributed generation (DG). Both radial and meshed systems are considered. The overall influence of load demand uncertainty on planned networks is investigated in detail. Uncertainty in load demand is possibilistically modeled using a fuzzy triangular number. The two objectives in system planning are: (i) minimization of total installation and operational costs, and (ii) minimization of the risk factor. The risk factor is a function of the contingency load-loss index (CLLI), which measures load loss under contingencies, and the degree of network constraints violations. CLLI minimization improves network reliability. The network variables optimized are: (i) the network structure type (radial or meshed), (ii) the number of feeders and their routes, and (iii) the number and location of sectionalizing switches. The optimization tool is a multi-objective particle swarm optimization (MOPSO) variant that uses heuristic selection and assignment of leaders or guides for efficient identification of non-dominated solutions. The optimal number, location, and size of the DG units are determined in another planning stage. Performance comparisons between the planning approaches with possibilistic and deterministic load models highlight the relative merits and demerits. The advantages of networks obtained using the proposed planning approach in the context of DO integration are described. The proposed planning approach is validated using three typical distribution systems. (C) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sahoo, NC (Corresponding Author), Univ Teknol PETRONAS, Dept Elect \& Elect Engn, Tronoh, Malaysia. Ganguly, S., Natl Inst Technol, Dept Elect Engn, Rourkela, India. Sahoo, N. C., Univ Teknol PETRONAS, Dept Elect \& Elect Engn, Tronoh, Malaysia. Das, D., Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India.}, DOI = {10.1016/j.fss.2012.07.005}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Multi-objective optimization; Electrical distribution system planning; Possibilistic load model; Fuzzy number; Pareto dominance; Particle swarm optimization}, Keywords-Plus = {CONSTRAINED PROGRAMMING-PROBLEMS; REASONABLE PROPERTIES; MODELS; RELIABILITY; EXPANSION; DESIGN; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {ncsahoo.india@gmail.com}, Affiliations = {National Institute of Technology (NIT System); National Institute of Technology Rourkela; Universiti Teknologi Petronas; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur}, ResearcherID-Numbers = {Ganguly, Sanjib/AAB-8249-2021}, ORCID-Numbers = {Ganguly, Sanjib/0000-0002-7939-7308}, Cited-References = {{[}Anonymous], P 2004 ANN M N AM FU. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {36}, Times-Cited = {90}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {46}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {084QQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000314554600004}, OA = {Green Accepted}, DA = {2026-04-14}, } @article{ WOS:000351797200006, Author = {Sadghiani, N. Salehi and Torabi, S. A. and Sahebjamnia, N.}, Title = {Retail supply chain network design under operational and disruption risks}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2015}, Volume = {75}, Pages = {95-114}, Month = {MAR}, Abstract = {Designing robust and resilient retail networks under operational and disruption risks can create substantial competitive advantage. In this paper, a deterministic multiple set-covering model is first proposed. Then, it is extended to a possibilistic scenario-based robust model by scenario generation and disruption profiling to design a robust and resilient retail network. The developed models are validated through randomly generated examples and a real case study in retailing. Numerical results demonstrate that designing retail chains without considering operational and disruption risks is really misleading. Also, multiple covering of retail stores as the measure of redundancy increases the network's resilience significantly. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Sadghiani, N. Salehi, Univ Michigan, Dept Ind \& Operat Engn, Ann Arbor, MI 48109 USA. Sadghiani, N. Salehi; Torabi, S. A.; Sahebjamnia, N., Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.tre.2014.12.015}, ISSN = {1366-5545}, Keywords = {Retail network design; Resilience; Robustness; Possibilistic scenario-based robust programming}, Keywords-Plus = {BUSINESS CONTINUITY; ROBUST OPTIMIZATION; MANAGEMENT; SELECTION; MODEL; UNCERTAINTIES; FRAMEWORK}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {nsalehi@umich.edu satorabi@ut.ac.ir n.sahebjamnia@ut.ac.ir}, Affiliations = {University of Michigan System; University of Michigan; University of Tehran}, ResearcherID-Numbers = {Sahebjamnia, Navid/HGD-6014-2022 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Sahebjamnia, Navid/0000-0001-5727-9477 Torabi, S. Ali/0000-0002-9764-9679}, Funding-Acknowledgement = {Iran National Science Foundation (INSF) {[}91058035]}, Funding-Text = {This study was supported by a grant from Iran National Science Foundation (INSF) {[}Project No. 91058035]. The authors are grateful for this financial support.}, Cited-References = {Agrawal N., 2012, EUR J OPER RES. Al-E-Hashem SMJM, 2011, INT J PROD ECON, V134, P28, DOI 10.1016/j.ijpe.2011.01.027. {[}Anonymous], MIT SLOAN MANAGEMENT. Baghalian A, 2013, EUR J OPER RES, V227, P199, DOI 10.1016/j.ejor.2012.12.017. Bailey JP, 2005, TRANSPORT RES E-LOG, V41, P159, DOI 10.1016/j.tre.2004.03.004. Bashiri M, 2012, APPL MATH MODEL, V36, P1703, DOI 10.1016/j.apm.2011.09.018. Cardós M, 2006, INT J PROD ECON, V104, P525, DOI 10.1016/j.ijpe.2004.12.022. Carvalho H, 2012, COMPUT IND ENG, V62, P329, DOI 10.1016/j.cie.2011.10.003. Farahani RZ, 2014, OMEGA-INT J MANAGE S, V45, P92, DOI 10.1016/j.omega.2013.08.006. 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Rev.}, Doc-Delivery-Number = {CE4JP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000351797200006}, DA = {2026-04-14}, } @article{ WOS:000886066600007, Author = {Antoine, Violaine and Guerrero, Jose A. and Romero, Gerardo}, Title = {Possibilistic fuzzy c-means with partial supervision}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2022}, Volume = {449}, Pages = {162-186}, Month = {NOV 20}, Abstract = {Clustering is a data analysis method that creates groups of objects according to a similarity notion. Amongst the existing clus-tering algorithms, the possibilistic fuzzy c-means (PFCM) is a well-known algorithm since it generates a possibilistic partition. Such possibilistic partition is helpful in the presence of a noisy environment and allows to express various types of uncertainty and imprecision. In recent years, the performance of clustering methods has been improved by incorporating partial information. The approach, called semi-supervised clustering, introduces instance-level information such as labeled patterns in the clustering process. In this work, we propose to extend PFCM to combine labeled patterns with the possibilistic framework. To provide more flexibility to the new method, in addition to the Euclidean distance, an adaptive distance measure is considered. Experimental results show the interest of our new semi-supervised possibilistic fuzzy c-means algorithm on various data sets. (c) 2022 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Antoine, V (Corresponding Author), Clermont Auvergne Univ, ISIMA, CNRS, UMR 6158, F-63000 Clermont Ferrand, France. Antoine, Violaine, Clermont Auvergne Univ, ISIMA, CNRS, UMR 6158, F-63000 Clermont Ferrand, France. Guerrero, Jose A., Clermont Auvergne Univ, Inst Pascal, CNRS, UMR 6602, F-63000 Clermont Ferrand, France. Romero, Gerardo, Univ Autonomous Tamaulipas, UAM Reynosa Rodhe, Elect Dept, Reynosa, Mexico.}, DOI = {10.1016/j.fss.2022.08.003}, EarlyAccessDate = {OCT 2022}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Partially supervised clustering; Possibility; Labeled patterns; Mahalanobis distance}, Keywords-Plus = {CONSTRAINTS; ALGORITHMS; MODEL; FCM}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {violaine.antoine@uca.fr}, Affiliations = {Universite Clermont Auvergne (UCA); Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences \& Technologies (INS2I); Universite Clermont Auvergne (UCA); Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering \& Systems Sciences (INSIS)}, ResearcherID-Numbers = {Romero, Gerardo/ABB-6883-2021}, Cited-References = {Abin AA, 2015, PATTERN RECOGN, V48, P953, DOI 10.1016/j.patcog.2014.09.008. 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Zotin A, 2018, PROCEDIA COMPUT SCI, V126, P1261, DOI 10.1016/j.procs.2018.08.069.}, Number-of-Cited-References = {56}, Times-Cited = {19}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {26}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {6I3ZO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000886066600007}, DA = {2026-04-14}, } @article{ WOS:001500252300001, Author = {Zarrinpoor, Naeme}, Title = {A post-disaster waste management system design from sustainability perspectives under uncertainty: a robust flexible fuzzy approach}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2025}, Volume = {12}, Number = {1}, Month = {DEC 31}, Abstract = {Large-scale disasters produce enormous amount of debris, which can pose irreversible financial losses, human health risks and environmental problems. To effectively handle this volume of debris and restore stability to impacted communities, a post-disaster waste management system (PDWMS) must be created. In designing PDWMSs, no work simultaneously considers sustainable development goals, treatment strategies for all types of debris, all air contaminants during waste treatment, the quality of recyclable waste and uncertainties in critical parameters. Therefore, this work designs a PDWMS that incorporates multiple strategies for debris transportation, reuse, recycling, energy recovery and disposal. Recyclable, reusable, combustible, incombustible and hazardous waste are considered. To design a cost-minimising, environment-friendly and social responsiveness PDWMS, all sustainable development goals are considered. The uncertainty of parameters is handled by a novel robust flexible credibility-based possibilistic programming method and a fuzzy method gives a solution strategy. A case study utilising data from Shiraz, Iran, serves to validate the model. The empirical findings demonstrate that pursuing sustainability would lead to significant improvements in social and environmental domains without appreciably raising system costs. The uncertainty handling technique has a significantly lower cost of constraints violation than the deterministic model and it can produce more immunised solutions to uncertainty conditions.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zarrinpoor, N (Corresponding Author), Shiraz Univ Technol, Dept Ind Engn, POB 71555-313,Modarres Blvd, Shiraz, Iran. Zarrinpoor, Naeme, Shiraz Univ Technol, Dept Ind Engn, POB 71555-313,Modarres Blvd, Shiraz, Iran.}, DOI = {10.1080/23302674.2025.2500363}, Article-Number = {2500363}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Post-disaster waste; sustainable development; uncertainty; possibilistic programming; robust optimization}, Keywords-Plus = {SUPPLY CHAIN; OPTIMIZATION; MODEL; LOCATION; CLEANUP; NUMBERS; DEMAND}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {zarrinpoor@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {zarrinpoor, naeme/0000-0002-3002-9512}, Cited-References = {Afkhami P, 2021, IND ENG CHEM RES, V60, P6188, DOI 10.1021/acs.iecr.0c06209. {[}Anonymous], 2014, SOCIAL ACCOUNTABILIT. {[}Anonymous], 2020, Consolidated set of GRI sustainability reporting standards 2020. {[}Anonymous], 2010, ISO 26000. {[}Anonymous], 2009, Guidelines for Social Life Cycle Assessment of Products. {[}Anonymous], 2007, DEBRIS MANAGEMENT GU. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {58}, Times-Cited = {0}, Usage-Count-Last-180-days = {5}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Int. J. Syst. Sci.- Oper. Logist.}, Doc-Delivery-Number = {3HE5I}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001500252300001}, DA = {2026-04-14}, } @article{ WOS:000175024200001, Author = {Wang, JT}, Title = {A fuzzy project scheduling approach to minimize schedule risk for product development}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2002}, Volume = {127}, Number = {2}, Pages = {99-116}, Month = {APR 16}, Abstract = {The efficient management of product development projects is important to reduce the required development time and cost. However, each project is unique in nature and the duration of activities involved in a project often cannot be predicted accurately. The uncertainty of activity duration may lead to incorrect scheduling decisions, The objective of this research is to develop a fuzzy scheduling methodology to deal with this problem. Possibility theory is used to model the uncertain and flexible temporal information. The concept of schedule risk is proposed to evaluate the schedule performance. A fuzzy beam search algorithm is developed to determine a schedule with the minimum schedule risk and the start time of each activity is selected to maximize the minimum satisfaction degrees of all temporal constraints. In addition, the properties of schedule risk are also discussed. We show that the proposed methodology can assist project managers in selecting a schedule with the least possibility of being late in an uncertain scheduling environment. An example with an electronic product development project is used to illustrate the developed approach. (C) 2002 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, JT (Corresponding Author), Feng Chia Univ, Dept Ind Engn, 100 Wenwha Rd, Taichung 407, Taiwan. Feng Chia Univ, Dept Ind Engn, Taichung 407, Taiwan.}, DOI = {10.1016/S0165-0114(01)00146-4}, Article-Number = {PII S0165-0114(01)00146-4}, ISSN = {0165-0114}, Keywords = {project scheduling; possibility theory; fuzzy constraint satisfaction; product development}, Keywords-Plus = {DUE-DATES}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Feng Chia University}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {Alvarez-Valdez R., 1989, Advances in Project Scheduling, P113. {[}Anonymous], P 14 INT JOINT C ART. 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OZDAMAR L, 1995, IIE TRANS, V27, P574, DOI 10.1080/07408179508936773.}, Number-of-Cited-References = {17}, Times-Cited = {50}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {542BT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000175024200001}, DA = {2026-04-14}, } @article{ WOS:001068575900001, Author = {Umar, Muhammad and Tayyab, Muhammad and Chaudhry, Hassan Rauf and Su, Chi-Wei}, Title = {Navigating epistemic uncertainty in third-generation biodiesel supply chain management through robust optimization for economic and environmental performance}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2026}, Volume = {359}, Number = {2, SI}, Pages = {1485-1524}, Month = {APR}, Abstract = {The escalating global warming crisis and the dwindling traditional energy sources have spurred an urgent need for exploring sustainable and renewable energy options. In this context, third-generation biodiesel has emerged as a promising and cleaner alternative for the transportation sector, gaining widespread attention due to its environmental and social benefits. However, ensuring the sustainable and efficient production and delivery of biodiesel to the market requires an optimal supply chain management strategy, encompassing a coordinated effort by all stakeholders involved. This paper presents a novel multi-objective decision support model for managing a multi-echelon third-generation biodiesel supply chain comprising a biomass producer, a biorefinery, and multiple retailers. The proposed model leverages a multi-objective non-linear optimization framework, incorporating economic and environmental objectives to achieve a balance between profitability and sustainability. The economic performance of the model is analyzed using an uncertain activity-based costing approach and a single-setup-multi-delivery policy, while carbon emissions are reduced at every stage of the supply chain to enhance environmental performance. To deal with the uncertainties in the decision-making parameters, a robust possibilistic programming-based solution methodology is employed, providing optimality and feasibility robustness to the obtained solutions. Furthermore, a weighted goal programming approach is adopted to achieve an optimal trade-off between the conflicting objectives of the model, and the NP-hard problem is solved using a metaheuristic approach. The practical applicability of the proposed model is demonstrated through an experimental study, and the performance of the numerical outcomes is analyzed under varying decision-maker preferences and sensitivity analysis. The experimental findings indicate that SSMD reduces the total cost of the system. The proposed approach can be used to evaluate the environmental, economic, and technological factors that can enhance supply chain management performance.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Su, CW (Corresponding Author), Lebanese Amer Univ, Adnan Kassar Sch Business, Beirut, Lebanon. Su, CW (Corresponding Author), Qingdao Univ, Sch Econ, Qingdao, Shandong, Peoples R China. Umar, Muhammad; Su, Chi-Wei, Lebanese Amer Univ, Adnan Kassar Sch Business, Beirut, Lebanon. Su, Chi-Wei, Qingdao Univ, Sch Econ, Qingdao, Shandong, Peoples R China. Chaudhry, Hassan Rauf, Lahore Univ Management Sci, Suleman Dawood Sch Business, Lahore 54792, Pakistan. Tayyab, Muhammad, King Fahd Univ Petr \& Minerals, King Fahd Business Sch, Dhahran 31261, Saudi Arabia. Tayyab, Muhammad, King Fahd Univ Petr \& Minerals, Interdisciplinary Res Ctr Finance \& Digital Econ, Dhahran 31261, Saudi Arabia.}, DOI = {10.1007/s10479-023-05574-1}, EarlyAccessDate = {SEP 2023}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Renewable energy; Biofuel supply chain management; Single-setup-multi-delivery policy; Robust possibilistic programming; Environmental protection}, Keywords-Plus = {SETUP COST REDUCTION; NETWORK DESIGN; DYNAMIC OPTIMIZATION; PROGRAMMING APPROACH; MATHEMATICAL-MODEL; BATCH PROCESSES; MICROALGAE; BIOMASS; INTEGRATION; ENERGY}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {umar@qdu.edu.cn muhammad\_tayyab@lums.edu.pk hassan.rauf@lums.edu.pk cwsu7137@gmail.com}, Affiliations = {Lebanese American University; Qingdao University; Lahore University of Management Sciences; King Fahd University of Petroleum \& Minerals; King Fahd University of Petroleum \& Minerals}, ResearcherID-Numbers = {Chaudhry, Hassan/KXR-0063-2024 Tayyab, Muhammad/JMB-4137-2023 Umar, Muhammad/AFG-9168-2022 Su, Chi Wei/ABE-4976-2021}, ORCID-Numbers = {Su, Chi Wei/0000-0001-9722-8105}, Cited-References = {Abbasi M, 2021, J CLEAN PROD, V323, DOI 10.1016/j.jclepro.2021.129100. 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Zhu HP, 2009, 2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL I, PROCEEDINGS, P455, DOI 10.1109/AICI.2009.204. Zhuge JJ, 2012, IND ENG CHEM RES, V51, P8550, DOI 10.1021/ie3002364. Ziolkowska JR, 2013, BIOMASS BIOENERG, V59, P425, DOI 10.1016/j.biombioe.2013.09.008.}, Number-of-Cited-References = {80}, Times-Cited = {19}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {26}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {FZ9VC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001068575900001}, DA = {2026-04-14}, } @article{ WOS:000252981900034, Author = {Vasant, Pandian M. and Barsoum, Nader N. and Bhattacharya, Arijit}, Title = {Possibilistic optimization in planning decision of construction industry}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2008}, Volume = {111}, Number = {2}, Pages = {664-675}, Month = {FEB}, Abstract = {This paper proposes a new method to obtain optimal solution using satisfactory approach in uncertain environment. The optimal solution is obtained by using possibilistic linear programming approach and MATLAB((R)) computation. The possibilistic linear programming approach uses modified S-curve membership function (MF). The developed model is applied to a construction industry's problem adopted from Lazarevic and Abraham {[}2003. Hybrid fuzzy-linear programming approach for multicriteria decision making problems. International Journal of Neural, Parallel and Scientific Computations, 11, 53-68]. Profit function, index of work quality and worker satisfaction index of the construction industry are considered for the optimal solution. Decision maker (DM) and implementer visualize final possibilistic and realistic outcome for objective functions under disparate level-of-satisfaction of the DM and vagueness hidden in the decision made for such planning decision. (C) 2007 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vasant, PM (Corresponding Author), Univ Teknol Petronas, Elect \& Elect Engn Program, BSI, Tronoh 31750, Perak DR, Malaysia. Vasant, Pandian M., Univ Teknol Petronas, Elect \& Elect Engn Program, BSI, Tronoh 31750, Perak DR, Malaysia. Barsoum, Nader N., Curtin Univ Technol, Sch Elect \& Elect Engn, Miri, Sarawak, Malaysia. Bhattacharya, Arijit, Patent Off, Examiner Patents \& Designs, Kolkata 700091, India.}, DOI = {10.1016/j.ijpe.2007.03.006}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {vagueness; level-of-satisfaction; S-curve membership function; linear programming; optimal solution; construction industry}, Keywords-Plus = {SELECTION PROBLEM; PROGRAMMING APPROACH; FUZZY OPTIMIZATION; MODEL; SATISFACTION; LEVEL; LOGIC; MCDM}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {pvasant@gmail.com nader.b@curtin.edu.my arijit.bhattacharya2005@gmail.com}, Affiliations = {Universiti Teknologi Petronas; Curtin University Malaysia}, ResearcherID-Numbers = {Bhattacharya, Arijit/C-7029-2009 Vasant, Pandian/E-6501-2013 }, ORCID-Numbers = {Bhattacharya, Arijit/0000-0001-5698-297X Vasant, Pandian/0000-0002-0755-1046 barsoum, nader/0000-0003-3176-9501}, Cited-References = {Bellman R. 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Econ.}, Doc-Delivery-Number = {260AK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000252981900034}, DA = {2026-04-14}, } @article{ WOS:000484871300035, Author = {Peykani, Pejman and Mohammadi, Emran and Emrouznejad, Ali and Pishvaee, Mir Saman and Rostamy-Malkhalifeh, Mohsen}, Title = {Fuzzy data envelopment analysis: An adjustable approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2019}, Volume = {136}, Pages = {439-452}, Month = {DEC 1}, Abstract = {Possibilistic Data Envelopment Analysis (PDEA) is one of the most applicable and popular approaches in the literature to deal with imprecise and ambiguous data in DEA models. In this approach, with respect to tendency of decision maker (DM) in taking optimistic, pessimistic and compromise attitude, three measures including possibility, necessity and credibility measures are used to form the Fuzzy DEA (FDEA) models, respectively. However, decision makers may have different preference and so it is necessary to customize fuzzy DEA models according to properties of DMUs. This paper proposes a novel fuzzy DEA model based on general fuzzy measure in which the attitude of DMUs could be determined by the optimistic-pessimistic parameters. As a result, the proposed FDEA model is general, applicable, flexible, and adjustable based on each DMUs. A numerical example is used to explain the proposed approach while usefulness and applicability of this approach have been illustrated using a real data set to measure efficiency of 38 hospital in United States. (C) 2019 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Emrouznejad, A (Corresponding Author), Aston Univ, Aston Business Sch, Birmingham, W Midlands, England. Peykani, Pejman; Mohammadi, Emran; Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Emrouznejad, Ali, Aston Univ, Aston Business Sch, Birmingham, W Midlands, England. Rostamy-Malkhalifeh, Mohsen, Islamic Azad Univ, Dept Math, Sci \& Res Branch, Tehran, Iran.}, DOI = {10.1016/j.eswa.2019.06.039}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy data envelopment analysis; General fuzzy measure; Possibility theory; Uncertainty; Hospital efficiency}, Keywords-Plus = {DECISION-MAKING UNITS; EXPECTED VALUE; RADIAL MEASURE; NEGATIVE DATA; ANALYSIS DEA; EFFICIENCY; MODEL; PERFORMANCE; SCALE}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {pejman.peykani@yahoo.com e\_mohammadi@iust.ac.ir a.emrouznejad@aston.ac.uk pishvaee@iust.ac.ir mohsen\_rostamy@yahoo.com}, Affiliations = {Iran University Science \& Technology; Aston University; Islamic Azad University}, ResearcherID-Numbers = {Emrouznejad, Ali/C-6707-2018 Pishvaee, Mir Saman/H-3450-2018 Peykani, Pejman/AAB-4949-2019 mohammadi, emran/S-9301-2018}, ORCID-Numbers = {Emrouznejad, Ali/0000-0001-8094-4244 Pishvaee, Mir Saman/0000-0001-6389-6308 Peykani, Pejman/0000-0001-7486-6796 }, Cited-References = {Agarwal S., 2014, P 3 INT C SOFT COMP, P733. 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Wu DS, 2006, APPL MATH COMPUT, V181, P271, DOI 10.1016/j.amc.2006.01.037. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {56}, Times-Cited = {76}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {IW3HO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000484871300035}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000275338700010, Author = {Dubois, Didier}, Title = {Representation, Propagation, and Decision Issues in Risk Analysis Under Incomplete Probabilistic Information}, Journal = {RISK ANALYSIS}, Year = {2010}, Volume = {30}, Number = {3}, Pages = {361-368}, Month = {MAR}, Abstract = {This article tries to clarify the potential role to be played by uncertainty theories such as imprecise probabilities, random sets, and possibility theory in the risk analysis process. Instead of opposing an objective bounding analysis, where only statistically founded probability distributions are taken into account, to the full-fledged probabilistic approach, exploiting expert subjective judgment, we advocate the idea that both analyses are useful and should be articulated with one another. Moreover, the idea that risk analysis under incomplete information is purely objective is misconceived. The use of uncertainty theories cannot be reduced to a choice between probability distributions and intervals. Indeed, they offer representation tools that are more expressive than each of the latter approaches and can capture expert judgments while being faithful to their limited precision. Consequences of this thesis are examined for uncertainty elicitation, propagation, and at the decision-making step.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Dubois, D (Corresponding Author), Univ Toulouse 3, IRIT, CNRS, F-31062 Toulouse, France. Dubois, Didier, Univ Toulouse 3, IRIT, CNRS, F-31062 Toulouse, France. Dubois, Didier, Univ Toulouse, Toulouse, France.}, DOI = {10.1111/j.1539-6924.2010.01359.x}, ISSN = {0272-4332}, EISSN = {1539-6924}, Keywords-Plus = {JOINT PROPAGATION; UTILITY}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {dubois@irit.fr}, Affiliations = {Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Universite Federale Toulouse Midi-Pyrenees (ComUE); Institut National Polytechnique de Toulouse; Universite de Toulouse}, Funding-Acknowledgement = {French Research National Agency (ANR) {[}CRISCO2, ANR-06-CO2-003]}, Funding-Text = {This work has been supported by the French Research National Agency (ANR) through the CO2 program (project CRISCO2, ANR-06-CO2-003). The author wishes to thank Dominique Guyonnet from BRGM, with whom the general risk analysis process advocated here has been developed.}, Cited-References = {{[}Anonymous], DECISION MAKING PROC. {[}Anonymous], INT J APPROX REASONI. {[}Anonymous], SAND20024015 SAND NA. AVEN T, 2010, RISK ANAL IN PRESS. Baudrit C, 2006, COMPUT STAT DATA AN, V51, P86, DOI 10.1016/j.csda.2006.02.009. BAUDRIT C, 2005, P 4 INT S IMPR PROB, P31. Baudrit C, 2007, J CONTAM HYDROL, V93, P72, DOI 10.1016/j.jconhyd.2007.01.015. Baudrit C, 2006, IEEE T FUZZY SYST, V14, P593, DOI 10.1109/TFUZZ.2006.876720. BELLENFANT G, 2009, WORKSH MOD RISK ASS. Berger J., 1994, Test, V3, P5, DOI DOI 10.1007/BF02562676. CHATEAUNEUF A, 2009, DECISION MAKING PROC, pCH3. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. Destercke S, 2008, NUCL ENG DES, V238, P2484, DOI 10.1016/j.nucengdes.2008.02.003. Dubois D, 2000, HDB FUZZ SET SER, V7, P483. Dubois D, 2000, HDB FUZZ SET SER, V7, P343. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {33}, Times-Cited = {113}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {29}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {565ZI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000275338700010}, DA = {2026-04-14}, } @article{ WOS:001424463100001, Author = {Zhang, P. and Cui, S. and Du, B.}, Title = {Fuzzy portfolio selection with different risk attitudes based on machine learning}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2025}, Volume = {22}, Number = {1}, Pages = {1-21}, Month = {JAN-FEB}, Abstract = {This paper studies a fuzzy portfolio selection program with different risk attitudes based on Machine Learning to help investors make reasonable investment decisions. Firstly, the asset's return is assumed as a fuzzy variable, which is estimated by the Long-Short Term Memory, Convolutional Neural Networks, Support Vector Regression and Random Forest, respectively. Secondly, the possibilistic mean and possibilistic variance with different risk attitudes are calculated within the framework of possibilistic theory. Thirdly, considering the borrowing constraints, transaction costs, and threshold constraints, a fuzzy portfolio selection model with different risk attitudes based on Machine Learning is proposed. According to the possibilistic measure, the proposed model is transformed into a quadratic programming problem, and the pivoting algorithm is designed to obtain the optimal solution. Finally, the possibility equal-weight portfolio model and possibility mean-variance portfolio model based on history quartile are selected as benchmarks, and a comparing numerical example is provided to demonstrate the effectiveness of the proposed model.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Zhang, P (Corresponding Author), South China Normal Univ, Sch Econ \& Management, Guangzhou 510006, Peoples R China. Zhang, P.; Cui, S.; Du, B., South China Normal Univ, Sch Econ \& Management, Guangzhou 510006, Peoples R China.}, DOI = {10.22111/ijfs.2025.47341.8338}, ISSN = {1735-0654}, EISSN = {2676-4334}, Keywords = {The fuzzy portfolio selection; possibilistic mean; possibilistic variance; different risk attitudes; machine learning}, Keywords-Plus = {UTILITY; MODEL}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {20181021@m.scnu.edu.cn}, Affiliations = {South China Normal University}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71271161]; Natural Science Foundation of Guang Dong Province {[}2024A1515011808]}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (no. 71271161) , Natural Science Foundation of Guang Dong Province under nos. 2024A1515011808.}, Cited-References = {Beniwal M, 2023, APPL SOFT COMPUT, V145, DOI 10.1016/j.asoc.2023.110566. 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Zhou XY, 2018, INFORM SCIENCES, V462, P278, DOI 10.1016/j.ins.2018.06.013.}, Number-of-Cited-References = {26}, Times-Cited = {4}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Iran. J. Fuzzy. Syst.}, Doc-Delivery-Number = {X3N7A}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001424463100001}, DA = {2026-04-14}, } @article{ WOS:000341480700008, Author = {Ji, Zexuan and Xia, Yong and Sun, Quansen and Cao, Guo}, Title = {Interval-valued possibilistic fuzzy C-means clustering algorithm}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {253}, Pages = {138-156}, Month = {OCT 16}, Abstract = {Type-2 fuzzy sets have drawn increasing research attentions in the pattern recognition community, since it is capable of modeling various uncertainties that cannot be appropriately managed by usual fuzzy sets. Although it has been introduced to data clustering, most widely used clustering approaches based on type-2 fuzzy sets still suffer from inherent drawbacks, such as the sensitiveness to outliers and initializations. In this paper, we incorporate the interval-valued fuzzy sets into the hybrid fuzzy clustering scheme, and thus propose the interval-valued possibilistic fuzzy c-means (IPFCM) clustering algorithm. We use both fuzzy memberships and possibilistic typicalities to model the uncertainty implied in the data sets, and develop solutions to overcome the difficulties caused by type-2 fuzzy sets, such as the construction of footprint of uncertainty, type-reduction and defuzzification. We compare the proposed algorithm with five fuzzy clustering approaches, including the FCM, PCM, PFCM, IFCM and IPCM, on two-dimensional Gaussian data sets and four multi-dimensional benchmark data sets. We also apply these clustering techniques to segment the brain magnetic resonance images and natural images. Our results show that the proposed IPFCM algorithm is more robust to outliers and initializations and can produce more accurate clustering results. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Xia, Y (Corresponding Author), Northwestern Polytech Univ, Sch Comp Sci, Shaanxi Prov Key Lab Speech \& Image Informat Proc, Xian 710072, Peoples R China. Ji, Zexuan; Sun, Quansen; Cao, Guo, Nanjing Univ Sci \& Technol, Sch Comp Sci \& Engn, Nanjing 210094, Jiangsu, Peoples R China. Xia, Yong, Northwestern Polytech Univ, Sch Comp Sci, Shaanxi Prov Key Lab Speech \& Image Informat Proc, Xian 710072, Peoples R China. Xia, Yong, Univ Sydney, Sch Informat Technol, Biomed \& Multimedia Informat Technol BMIT Res Grp, Sydney, NSW 2006, Australia.}, DOI = {10.1016/j.fss.2013.12.011}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy C-means; Possibilistic C-means; Type-2 fuzzy sets; Interval-valued fuzzy sets; Clustering; Image segmentation}, Keywords-Plus = {TYPE-2; SETS; FUZZINESS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {jizexuan@hotmail.com yong.xia@nwpu.edu.cn}, Affiliations = {Nanjing University of Science \& Technology; Northwestern Polytechnical University; University of Sydney}, ResearcherID-Numbers = {, Guo/AAC-1388-2022}, Funding-Acknowledgement = {China Postdoctoral Science Foundation {[}2013M531364]; National Science Foundation of China {[}61003108, 61273251]}, Funding-Text = {The authors would like to thank the journal editors and anonymous reviewers for their valuable comments and suggestions to improve the quality of the paper. 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Zhang W., 2007, P 46 IEEE C DEC CONT, P5318, DOI DOI 10.1109/CDC.2007.4434426.}, Number-of-Cited-References = {34}, Times-Cited = {68}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {53}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AO6SB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000341480700008}, DA = {2026-04-14}, } @article{ WOS:000232874700005, Author = {Wang, RC and Liang, TF}, Title = {Applying possibilistic linear programming to aggregate production planning}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2005}, Volume = {98}, Number = {3}, Pages = {328-341}, Month = {DEC 18}, Abstract = {This work presents a novel interactive possibilistic linear programming (PLP) approach for solving the multi-product aggregate production planning (APP) problem with imprecise forecast demand, related operating costs, and capacity. The proposed approach attempts to minimize total costs with reference to inventory levels, labor levels, overtime, subcontracting and backordering levels, and labor, machine and warehouse capacity. The proposed approach uses the strategy of simultaneously minimizing the most possible value of the imprecise total costs, maximizing the possibility of obtaining lower total costs, and minimizing the risk of obtaining higher total costs. An industrial case demonstrates the feasibility of applying the proposed approach to real APP decision problems. Consequently, the proposed PLP approach yields an efficient APP compromise solution and overall degree of decision maker (DM) satisfaction with determined goal values. Particularly, several significant management implications and characteristics of the proposed PLP approach that distinguish it from the other APP decision models are presented. (c) 2004 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, RC (Corresponding Author), Tung Nan Inst Technol, Dept Ind Management, 152 Pei Shen Rd,Sec 3, Taipei 222, Taiwan. Tung Nan Inst Technol, Dept Ind Management, Taipei 222, Taiwan. Hsiuping Inst Technol, Dept Ind Management, Taichung 412, Taiwan.}, DOI = {10.1016/j.ijpe.2004.09.011}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {aggregate production planning; possibilistic linear programming; fuzzy sets theory}, Keywords-Plus = {FORMULATION; SYSTEM}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {rcwang@mail.tnit.edu.tw farmer@mail.hit.edu.tw}, Cited-References = {Baykasoglu A, 2001, INT J PROD RES, V39, P3685, DOI 10.1080/00207540110061607. Bellman R. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {40}, Times-Cited = {166}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {60}, Journal-ISO = {Int. J. Prod. Econ.}, Doc-Delivery-Number = {978LL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000232874700005}, DA = {2026-04-14}, } @article{ WOS:000359032800005, Author = {Niakan, Farzad and Rahimi, Mohammad}, Title = {A multi-objective healthcare inventory routing problem; a fuzzy possibilistic approach}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2015}, Volume = {80}, Pages = {74-94}, Month = {AUG}, Abstract = {This paper presents a new multi-objective mathematical model to address a Healthcare Inventory Routing Problem (HIRP) for medicinal drug distribution to healthcare facilities. The first part of objective function minimizes total inventory and transportation costs, while satisfaction is maximized by minimizing forecast error which caused by product shortage and the amount of expired drugs; Greenhouse Gas (GHG) emissions are also minimized. A demand forecast approach has been integrated into the mathematical model to decrease drug shortage risk. A hybridized possibilistic method is applied to cope with uncertainty and an interactive fuzzy approach is considered to solve an auxiliary crisp multi-objective model and find optimized solutions. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Niakan, F (Corresponding Author), INSA Lyon, DISE Lab EA4570, Villeurbanne, France. Niakan, Farzad; Rahimi, Mohammad, INSA Lyon, DISE Lab EA4570, Villeurbanne, France.}, DOI = {10.1016/j.tre.2015.04.010}, ISSN = {1366-5545}, Keywords = {Inventory routing problem; Healthcare; Fuzzy mathematical programming; Possibilistic programming; Fuzzy multi-objective optimization}, Keywords-Plus = {TIME-WINDOWS; ALGORITHM; DELIVERY; REPLENISHMENT; MANAGEMENT; PORTFOLIO}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {farzad.niakan@insa-lyon.fr}, Affiliations = {Institut National des Sciences Appliquees de Lyon - INSA Lyon}, ResearcherID-Numbers = {Niakan, farzad/JZE-0831-2024}, Cited-References = {Abdelmaguid TF, 2009, COMPUT IND ENG, V56, P1519, DOI 10.1016/j.cie.2008.09.032. 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Speranza MG, 1996, NAV RES LOG, V43, P655, DOI 10.1002/(SICI)1520-6750(199608)43:5<655::AID-NAV4>3.0.CO;2-4. Stålhane M, 2012, COMPUT IND ENG, V62, P245, DOI 10.1016/j.cie.2011.09.011. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Werners B.M., 1988, MATH MODELS DECISION, P295, DOI DOI 10.1007/978-3-642-83555-1\_19. YAGER RR, 1981, INFORM SCIENCES, V24, P143, DOI 10.1016/0020-0255(81)90017-7. Yu Y., 2010, ANN OPER RES, V197, P135. Zhao QH, 2010, TRANSPORT RES E-LOG, V46, P913, DOI 10.1016/j.tre.2010.03.001. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {60}, Times-Cited = {100}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {98}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {CO3BY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000359032800005}, DA = {2026-04-14}, } @article{ WOS:000303631200006, Author = {Vetterlein, Thomas}, Title = {Plausible reasoning and graded information: A unified approach}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2012}, Volume = {197}, Pages = {71-94}, Month = {JUN 16}, Abstract = {We propose a formal method for reasoning both under uncertainty and under vagueness in a coherent way. We deal with implicational relationships where an explicit numerical degree is used to express uncertainty. The approach relies on Dubois and Prade's Possibilistic Logic. Furthermore, we take the possible vagueness of the involved properties into account. Namely, we deal with properties of the form that some vague criterion is fulfilled to a specific degree. Thus vague properties are treated as parametrised sets of crisp properties. Finally, a rule is included to ensure smoothness of the uncertainty degree with regard to changes of the degrees to which the properties under consideration hold. The calculus is applicable wherever graded properties are subject to uncertainty. Vagueness and uncertainty are treated independently, but can optionally be interconnected in a controlled way. A specific application suggests itself in the field of medical expert systems. (C) 2011 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vetterlein, T (Corresponding Author), Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, Altenberger Str 69, A-4040 Linz, Austria. Vetterlein, Thomas, Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria. Vetterlein, Thomas, Med Univ Vienna, Sect Med Expert \& Knowledge Based Syst, A-1090 Vienna, Austria.}, DOI = {10.1016/j.fss.2011.05.016}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Reasoning about uncertainty; Reasoning under vagueness; Possibilistic Logic; Gradedness; Fuzzy set theory}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Thomas.Vetterlein@jku.at}, Affiliations = {Johannes Kepler University Linz; Medical University of Vienna}, ORCID-Numbers = {Vetterlein, Thomas/0000-0003-0571-9551}, Funding-Acknowledgement = {Eurocores-LogICCC ESF; Vienna Science and Technology Fund (WWTF) {[}MA07-016]}, Funding-Text = {The author acknowledges partial support of the Eurocores-LogICCC ESF project LoMoReVI as well as by the Vienna Science and Technology Fund (WWTF) Grant MA07-016.}, Cited-References = {Adlassnig K., 1982, APPROXIMATE REASONIN, P219. 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Vetterlein T, 2010, FUZZY SET SYST, V161, P1941, DOI 10.1016/j.fss.2009.09.011.}, Number-of-Cited-References = {17}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {937AK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000303631200006}, DA = {2026-04-14}, } @article{ WOS:000400495400001, Author = {Mezei, Jozsef and Brunelli, Matteo and Carlsson, Christer}, Title = {A fuzzy approach to using expert knowledge for tuning paper machines}, Journal = {JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY}, Year = {2017}, Volume = {68}, Number = {6}, Pages = {605-616}, Month = {JUN}, Abstract = {Paper machines are very complex production systems, but their scope is simple: they consume materials and resources, called factors, to produce paper, which in turn can be described by its characteristics. In this paper, a decision support system is developed in cooperation with an industrial partner to help them with operational decision making when tuning a paper machine. The decision support system was developed in two phases. Firstly, the knowledge of experts is collected and stored in the form of a fuzzy ontology. Secondly, this knowledge is made usable so that a user of the decision support system can specify what characteristics of the produced paper to increase or to decrease and be returned with a recommendation on what factors to change. In this paper, we will work out the optimization problems on which the system is based. Additionally to a basic goal programming model, two extensions are explored, accounting for uncertainty and non-linearity, respectively.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Mezei, J (Corresponding Author), Abo Akad Univ, Inst Adv Management Syst Res, Gezeliuksenkatu 2, SF-20500 Turku, Finland. Mezei, Jozsef; Carlsson, Christer, Abo Akad Univ, Inst Adv Management Syst Res, Gezeliuksenkatu 2, SF-20500 Turku, Finland. Mezei, Jozsef, Arcada Univ Appl Sci, RiskLab Finland, Jan Magnus Janssons Plats, Helsinki 00560, Finland. Brunelli, Matteo, Aalto Univ, Dept Math \& Syst Anal, POB 11100, Aalto 00076, Finland. Mezei, Jozsef, Lappeenranta Univ Technol, Sch Business \& Management, Skinnarilankatu 34, Lappeenranta 53851, Finland.}, DOI = {10.1057/s41274-016-0105-3}, ISSN = {0160-5682}, EISSN = {1476-9360}, Keywords = {paper machines; fuzzy ontology; multiobjective optimization; goal programming; possibilistic chance programming; soft computing}, Keywords-Plus = {OPTIMIZATION; INTEGRATION; SYSTEMS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {jmezei@abo.fi}, Affiliations = {Abo Akademi University; Arcada University of Applied Sciences; Aalto University; Lappeenranta-Lahti University of Technology LUT}, ResearcherID-Numbers = {Brunelli, Matteo/AAA-7679-2019}, Cited-References = {{[}Anonymous], P INT C KNOWL ENG ON. {[}Anonymous], FINL FIG NAT ACC. {[}Anonymous], ADV INTELLIGENT SYST. {[}Anonymous], J WEB SEMANT. {[}Anonymous], J OPERATIONAL RES SO. {[}Anonymous], VTT WORKING PAPERS. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. Zeleny Milan., 1982, Multi criteria decision making.}, Number-of-Cited-References = {35}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {26}, Journal-ISO = {J. Oper. Res. Soc.}, Doc-Delivery-Number = {ET7RM}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000400495400001}, DA = {2026-04-14}, } @article{ WOS:000305863300032, Author = {Katagiri, Hideki and Kato, Kosuke and Hasuike, Takashi}, Title = {A random fuzzy minimum spanning tree problem through a possibility-based value at risk model}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2012}, Volume = {39}, Number = {12}, Pages = {10639-10646}, Month = {SEP 15}, Abstract = {This paper considers a minimum spanning tree problem under the situation where costs for constructing edges in a network include both fuzziness and randomness. In particular, this article focuses on the case that the edge costs are expressed by random fuzzy variables. A new decision making model based on a possibility measure and a value at risk measure is proposed in order to find a solution which fully reflects random and fuzzy information. It is shown that an optimal solution of the proposed model is obtained by a polynomial-time algorithm. (C) 2012 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Katagiri, H (Corresponding Author), Hiroshima Univ, Fac Engn, 1-4-1 Kagamiyama, Hiroshima 7398527, Japan. Katagiri, Hideki, Hiroshima Univ, Fac Engn, Hiroshima 7398527, Japan. Kato, Kosuke, Hiroshima Inst Technol, Fac Appl Informat Sci, Saeki Ku, Hiroshima 7315193, Japan. Hasuike, Takashi, Osaka Univ, Grad Sch Informat Sci \& Technol, Suita, Osaka 5650871, Japan.}, DOI = {10.1016/j.eswa.2012.02.090}, ISSN = {0957-4174}, Keywords = {Minimum spanning tree; Random fuzzy variable; Possibility theory; Polynomial-time algorithm; Value-at-risk; Fractile criterion}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; PROBABILITY MAXIMIZATION MODEL; RANDOM VARIABLE-COEFFICIENTS; NECESSITY MEASURES; OPTIMIZATION; ENVIRONMENT; ALLOCATION; ALGORITHM; CRITERION; SELECTION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {katagiri-h@hiroshima-u.ac.jp k.katoh.me@it-hiroshima.ac.jp thasuike@ist.osaka-u.ac.jp}, Affiliations = {Hiroshima University; Hiroshima Institute of Technology; University of Osaka}, ResearcherID-Numbers = {Katagiri, Hideki/D-6211-2011}, Funding-Acknowledgement = {Grants-in-Aid for Scientific Research {[}24510190] Funding Source: KAKEN}, Cited-References = {{[}Anonymous], P 5 CZECH JAP SEM DA. {[}Anonymous], 2023, Uncertainty Theory. 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Wen ML, 2008, COMPUT MATH APPL, V55, P704, DOI 10.1016/j.camwa.2007.03.026. Zadeh L., 1978, FUZZY SET SYST, V1, P1, DOI DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {44}, Times-Cited = {8}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {18}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {966UQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000305863300032}, DA = {2026-04-14}, } @article{ WOS:000819304100012, Author = {Rahim, Sahar and Siano, Pierluigi}, Title = {A survey and comparison of leading-edge uncertainty handling methods for power grid modernization}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2022}, Volume = {204}, Month = {OCT 15}, Abstract = {The power grid infrastructure encounters multiple uncertainties such as unprecedented energy generation from non-dispatchable resources, erratic load, intensifying energy demand, the transition towards electric mobility, and the electricity market that exaggerate the decision-maker's difficulties in the power system. How to deal with massive real-time uncertain data is a pressing and challenging issue. To date, the art to tackle contingencies and ambiguous events has globally advanced and attained great assiduity, whereas, substantial work has been conducted on the optimization problems under uncertainties. In this regard, a comprehensive review of contemporary research is presented to identify future research trends. Moreover, the literature on the state-of-the-art uncertainty modeling methods is scrutinized, whilst a comparative assessment is stated to provide a broader overview evidencing that, so far, there is no particular preeminent uncertainty handling technique. The presented work may be adopted for the selection of the most suitable methodology in each application. In comparison to traditional approaches, robust optimization is one of the recent and adaptive uncertainty handling techniques for optimization problems owing to its salient features. Furthermore, its contributions in five crucial categories of power grid optimization problems are reviewed to highlight additional challenges and the scope of future research in the context of envisioned power networks.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Rahim, S (Corresponding Author), COMSATS Univ Islamabad, Dept Elect \& Comp Engn, Wah Campus, Wah Cantt 47040, Pakistan. Rahim, Sahar, COMSATS Univ Islamabad, Dept Elect \& Comp Engn, Wah Campus, Wah Cantt 47040, Pakistan. Rahim, Sahar, Zhejiang Univ, Coll Elect Engn, Hangzhou 310027, Peoples R China. Siano, Pierluigi, Univ Salerno, Dept Management \& Innovat Syst, I-84084 Fisciano, Italy. Siano, Pierluigi, Univ Johannesburg, Dept Elect \& Elect Engn Sci, ZA-2193 Johannesburg, South Africa.}, DOI = {10.1016/j.eswa.2022.117590}, EarlyAccessDate = {MAY 2022}, Article-Number = {117590}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Decision-making; Uncertainty modeling techniques; Probabilistic techniques; Possibilistic techniques; Hybrid probabilistic-possibilistic methods; Information gap decision theory; Interval analysis; Robust optimization}, Keywords-Plus = {PROBABILISTIC LOAD FLOW; ADAPTIVE ROBUST OPTIMIZATION; GAP DECISION-THEORY; ACTIVE DISTRIBUTION NETWORK; MONTE-CARLO-SIMULATION; DISTRIBUTION-SYSTEMS; UNIT COMMITMENT; DISTRIBUTED GENERATION; WIND POWER; BIDDING STRATEGY}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {sahar@ciitwah.edu.pk psiano@unisa.it}, Affiliations = {COMSATS University Islamabad (CUI); Zhejiang University; University of Salerno; University of Johannesburg}, ResearcherID-Numbers = {Rahim, Sahar/ABE-5445-2021 Siano, Pierluigi/E-4332-2012}, ORCID-Numbers = {Rahim, Sahar/0000-0002-2826-0256 Siano, Pierluigi/0000-0002-0975-0241}, Cited-References = {Abd-el-Motaleb AM, 2016, INT J ELEC POWER, V82, P179, DOI 10.1016/j.ijepes.2016.03.023. 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Zuyi Li, 2006, IEEE Power \& Energy Magazine, V4, P44, DOI 10.1109/MPAE.2006.1632453.}, Number-of-Cited-References = {222}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {32}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {2O8LN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000819304100012}, DA = {2026-04-14}, } @article{ WOS:000615903900003, Author = {Lahri, Vijay and Shaw, Krishnendu and Ishizaka, Alessio}, Title = {Sustainable supply chain network design problem: Using the integrated BWM, TOPSIS, possibilistic programming, and ε-constrained methods}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2021}, Volume = {168}, Month = {APR 15}, Abstract = {This paper proposes a two-stage multi-objective possibilistic integer linear programming sustainable supply chain network design model, minimizing the economic, environmental goals and maximizing the social sustainability goals. The proposed model determines the openings of facilities and the amount of flow of goods across the supply chain. It introduces supplier green image factors in the design of the supply chain network. The model has considered epistemic uncertainty to model the unknown capacity, cost, and demand. The proposed study has been carried out in two stages. In the first stage, BWM (Best-Worst method) and TOPSIS are applied to evaluate the green image weights of suppliers. Further, these green weights are being used in the second phase for the supply chain network design. The study has adopted combined possibilistic programming and Epsilon (epsilon) constraint method, which was reported infrequently in the literature. Epsilon (epsilon) constraint method generates distinct Pareto-optimal solutions, which provided a large combination of the trade-off between the cost, emission, and social sustainability. The results facilitate decision-makers to take the decision in an uncertain environment.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Lahri, V (Corresponding Author), Indian Sch Mines, Indian Inst Technol, Dept Management Studies, Dhanbad 826004, Bihar, India. Lahri, Vijay; Shaw, Krishnendu, Indian Sch Mines, Indian Inst Technol, Dept Management Studies, Dhanbad 826004, Bihar, India. Ishizaka, Alessio, NEOMA Business Sch, 1 Rue Marechal Juin,BP 215, F-76825 Mont St Aignan, France.}, DOI = {10.1016/j.eswa.2020.114373}, Article-Number = {114373}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Possibilistic programming; epsilon-Constraint method; Green image; Social sustainability; Best-Worst method}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {vijay.lahri07@gmail.com}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (Indian School of Mines) Dhanbad; NEOMA Business School}, ResearcherID-Numbers = {lahri, vijay/AAL-1540-2021}, ORCID-Numbers = {Ishizaka, Alessio/0000-0002-2531-292X }, Cited-References = {Ahmadi S, 2019, J CLEAN PROD, V226, P988, DOI 10.1016/j.jclepro.2019.04.132. 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Appl.}, Doc-Delivery-Number = {QE0NH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000615903900003}, DA = {2026-04-14}, } @article{ WOS:001086871500001, Author = {Dehshiri, Seyyed Jalaladdin Hosseini and Amiri, Maghsoud}, Title = {Considering the circular economy for designing closed-loop supply chain under hybrid uncertainty: A robust scenario-based possibilistic-stochastic programming}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {238}, Number = {A}, Month = {MAR 15}, Abstract = {Due to the significance of environmental and economic topics and limited resources, integrating Circular Economy (CE) principles is necessary for Supply Chain (SC) to improve sustainable competitive advantage. The integration of CE in SCs leads to a Closed-Loop Supply Chain Network Design (CLSCND) and a circular SC to achieve the economic, environmental, and social aspects of outputs and processes. On the other hand, the integration of CE in CLSCND faces hybrid uncertainties in different time horizons and scenarios due to the strategic and long-term nature of decisions. Due to the impact of random and cognitive uncertainties in the long term, it is necessary to consider these factors in the integration of CE in CLSCND. So, the aim of the present study is CLSCND to achieve the principles of CE and provide a robust scenario-based possibilistic-stochastic programming approach to consider cognitive and random uncertainties simultaneously. The contributions and innovations of the present study are the integration of CE in CLSCND, considering cognitive and random uncertainties at the same time, developing the Me criterion to achieve flexible solutions based on the convex combination of opinions of experts, and proposing the use of the absolute possible deviation to consider the possibilistic deviation. A case study was investigated for CLSCND in the paper industry to assess the presented approach, and the results indicated the accuracy and robustness of the solutions. The numerical simulation results demonstrated the appropriate performance of the proposed method, that the lowest average and standard deviation values of the constraints violation were 601 and 48, respectively, in the developed approach. Analytical findings show that implementing CE in the paper CLSCND provides insights for managers in demand and capacity constraint violations based on different risk levels. Also, this study offers a comprehensive framework for presenting robustness and flexible solutions in CLSC problems based on changes in robustness coefficients and sensitivity analysis of parameters of the CLSCND, which can create a trade-off between CE objectives in uncertain parameters.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Amiri, M (Corresponding Author), Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran. Dehshiri, Seyyed Jalaladdin Hosseini; Amiri, Maghsoud, Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran.}, DOI = {10.1016/j.eswa.2023.121745}, EarlyAccessDate = {OCT 2023}, Article-Number = {121745}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Circular economy; Mixed integer linear programming; Possibilistic programming; Closed -loop supply chain; Stochastic programming; Robust optimization}, Keywords-Plus = {NETWORK DESIGN; MODEL; OPTIMIZATION; GREEN}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {j.hosseini@atu.ac.ir amiri@atu.ac.ir}, Affiliations = {Allameh Tabataba'i University}, ResearcherID-Numbers = {Amiri, Maghsoud/Z-3160-2019 Hosseini Dehshiri, Seyyed Jalaladdin/HZH-9800-2023}, ORCID-Numbers = {Amiri, Maghsoud/0000-0002-0650-2584 Hosseini Dehshiri, Seyyed Jalaladdin/0000-0001-7031-1259}, Cited-References = {Abbasi GA, 2022, J CLEAN PROD, V359, DOI 10.1016/j.jclepro.2022.132137. 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A new decision making model is proposed to maximize both possibility and probability, which is based on possibilistic programming and stochastic programming. An interactive algorithm is constructed to obtain a satisficing solution satisfying at least weak Pareto optimality. (c) 2007 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Katagiri, H (Corresponding Author), Hiroshima Univ, Grad Sch Engn, 1-14-1 Kagami Yama, Hiroshima 7398527, Japan. 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Res.}, Doc-Delivery-Number = {262XZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000253183500016}, DA = {2026-04-14}, } @article{ WOS:000266439400032, Author = {He Liping and Qu Fuzheng}, Title = {Possibilistic entropy-based measure of importance in fault tree analysis}, Journal = {JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS}, Year = {2009}, Volume = {20}, Number = {2}, Pages = {434-444}, Month = {APR}, Abstract = {With respect to the subjective factors and nonlinear characteristics inherent in the important identification of fault tree analysis (FTA), a new important measure of FTA is proposed based on possibilistic information entropy. After investigating possibilistic information semantics, measure-theoretic terms, and entropy-like models, a two-dimensional framework has been constructed by combining both the set theory and the measure theory. By adopting the possibilistic assumption in place of the probabilistic one, an axiomatic index of importance is defined in the possibility space and then the modelling principles are presented. An example of the fault tree is thus provided, along with the concordance analysis and other discussions. The more conservative numerical results of importance rankings, which involve the more choices can be viewed as ``soft{''} fault identification under a certain expected value. In the end, extension to evidence space and further research perspectives are discussed.}, Publisher = {SYSTEMS ENGINEERING \& ELECTRONICS, EDITORIAL DEPT}, Address = {PO BOX 142-32, BEIJING, 100854, PEOPLES R CHINA}, Type = {Article}, Language = {English}, Affiliation = {He, LP (Corresponding Author), Dalian Univ Technol, Sch Mech Engn, Dalian 116023, Peoples R China. He Liping; Qu Fuzheng, Dalian Univ Technol, Sch Mech Engn, Dalian 116023, Peoples R China.}, ISSN = {1004-4132}, Keywords = {importance measure; information measure; possibilistic entropy; possibilistic uncertainty; nonspecificity}, Keywords-Plus = {SENSITIVITY-ANALYSIS; UNCERTAINTY; PROBABILITY}, Research-Areas = {Automation \& Control Systems; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Affiliations = {Dalian University of Technology}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}60674078]}, Funding-Text = {This project was supported by the National Natural Science Foundation of China (60674078).}, Cited-References = {Borgonovo E, 2007, RELIAB ENG SYST SAFE, V92, P771, DOI 10.1016/j.ress.2006.04.015. Campolongo F, 1997, RELIAB ENG SYST SAFE, V57, P49, DOI 10.1016/S0951-8320(97)00021-5. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {16}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {13}, Journal-ISO = {J. Syst. Eng. Electron.}, Doc-Delivery-Number = {450ZB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000266439400032}, DA = {2026-04-14}, } @article{ WOS:000376798300012, Author = {Zhalechian, M. and Tavakkoli-Moghaddam, R. and Zahiri, B. and Mohammadi, M.}, Title = {Sustainable design of a closed-loop location-routing-inventory supply chain network under mixed uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2016}, Volume = {89}, Pages = {182-214}, Month = {MAY}, Abstract = {Considering economic, environmental and social impacts, this paper presents a new sustainable closed-loop location-routing-inventory model under mixed uncertainty. The environmental impacts of CO2 emissions, fuel consumption, wasted energy and the social impacts of created job opportunities and economic development are considered in this paper. The uncertain nature of the network is handled using a stochastic-possibilistic programming approach. Furthermore, for large-sized problems, a hybrid meta-heuristic algorithm and lower bounds are developed and discussed. Finally, a real case study is provided to demonstrate the applicability of the model in real-world applications, and several in-depth analyses are conducted to develop managerial implications. (C) 2016 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tavakkoli-Moghaddam, R (Corresponding Author), Univ Tehran, Sch Ind Engn, Tehran, Iran. Tavakkoli-Moghaddam, R (Corresponding Author), Univ Tehran, Engn Optimizat Res Grp, Coll Engn, Tehran, Iran. Tavakkoli-Moghaddam, R (Corresponding Author), Univ Sci Educ \& Res Network USERN, Tehran, Iran. Zhalechian, M.; Tavakkoli-Moghaddam, R., Univ Tehran, Sch Ind Engn, Tehran, Iran. Zhalechian, M.; Tavakkoli-Moghaddam, R., Univ Tehran, Engn Optimizat Res Grp, Coll Engn, Tehran, Iran. Tavakkoli-Moghaddam, R., Univ Sci Educ \& Res Network USERN, Tehran, Iran. Zahiri, B., SUNY Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY USA. Mohammadi, M., Ecole Mines St Etienne, Dept Mfg Sci \& Logist, CMP, CNRS,UMR 6158,LIMOS, 880 Ave Mimet, F-13541 Gardanne, France.}, DOI = {10.1016/j.tre.2016.02.011}, ISSN = {1366-5545}, Keywords = {Closed-loop supply chain; Sustainability; Inventory; Routing; Queuing theory; Meta-heuristic}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; HYBRID GENETIC ALGORITHM; LOGISTICS NETWORK; FACILITY LOCATION; REVERSE LOGISTICS; HEURISTIC METHOD; DISRUPTION RISK; MODEL; OPTIMIZATION; MANAGEMENT}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {m.zhalechian@ut.ac.ir tavakoli@ut.ac.ir behzadza@buffalo.edu mohammadi@emse.fr}, Affiliations = {University of Tehran; University of Tehran; State University of New York (SUNY) System; University at Buffalo, SUNY; Universite Clermont Auvergne (UCA); IMT - Institut Mines-Telecom; Mines Saint-Etienne; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences \& Technologies (INS2I)}, ResearcherID-Numbers = {MOHAMMADI, Mehrdad/KIA-9696-2024 Tavakkoli-Moghaddam, Reza/P-1948-2015}, ORCID-Numbers = {Zhalechian, Mohammad/0000-0002-1174-6102 MOHAMMADI, Mehrdad/0000-0002-3726-8356 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X}, Funding-Acknowledgement = {University of Tehran {[}8106043/1/27]}, Funding-Text = {The authors would like to thank the editor and anonymous referees for their helpful comments, which greatly improved the presentation of this paper. 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Some properties of these interpretations are also presented, as well as directions for future research.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Resconi, G (Corresponding Author), CATHOLIC UNIV, DEPT MATH, BRESCIA, ITALY. SUNY BINGHAMTON, THOMAS J WATSON SCH ENGN \& APPL SCI, DEPT SYST SCI, BINGHAMTON, NY 13902 USA.}, DOI = {10.1016/0165-0114(95)00262-6}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {modal logic; fuzzy set theory; Dempster-Shafer theory; possibility theory; probability theory; uncertainty}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {State University of New York (SUNY) System; Binghamton University, SUNY}, ResearcherID-Numbers = {Resconi, Germano/AAE-7652-2020}, Cited-References = {{[}Anonymous], EVIDENCE THEORY ITS. 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Then, the proposed problem is transformed into deterministic linear programming problems by new methods based on the idea of possibility theory and the random fuzzy chance-constrained programming. These methods can satisfy optimistic and pessimistic decision makers separately and simultaneously. Finally, an example is also solved to clarify the discussed methods.}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Nematian, J (Corresponding Author), Univ Tabriz, Fac Mech Engn, Dept Ind Engn, POB 51666-14766, Tabriz, Iran. Univ Tabriz, Fac Mech Engn, Dept Ind Engn, Tabriz, Iran.}, DOI = {10.1504/EJIE.2015.070323}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {multi-objective programming; MOLP; random fuzzy variables; RFVs; random fuzzy chance-constrained programming; RFCCP}, Keywords-Plus = {MULTIPLE-OBJECTIVE OPTIMIZATION; GENERALIZED THEORY; UNCERTAINTY GTU; MAXIMIZATION; SELECTION; MODEL}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {jnematian@tabrizu.ac.ir}, Affiliations = {University of Tabriz}, ResearcherID-Numbers = {nematian, Javad/O-4729-2019}, ORCID-Numbers = {nematian, Javad/0000-0001-9151-3415}, Cited-References = {{[}Anonymous], 2009, Theory and Practice of Uncertain Programming. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. 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ZIMMERMANN HJ, 1985, INFORM SCIENCES, V36, P29, DOI 10.1016/0020-0255(85)90025-8.}, Number-of-Cited-References = {38}, Times-Cited = {3}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Eur. J. Ind. Eng.}, Doc-Delivery-Number = {CN8IJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000358683400005}, DA = {2026-04-14}, } @article{ WOS:000291118500086, Author = {Ignatius, Joshua and Lai, Young-Jou and Motlagh, Seyyed Mandi Hossein and Sepehri, Mohammad Mehdi and Mustafa, Adli}, Title = {Combinatorial auction under fuzzy environment}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2011}, Volume = {38}, Number = {9}, Pages = {11482-11488}, Month = {SEP}, Abstract = {Combinatorial auction (CA) mechanism allows bundling of multiple items in packages, which can be solved through a clearing method termed as the winner determination problem (WDP). However, to date, there has yet to be a CA model that accounts for the fuzziness of bidders' submitted prices. The imprecision in submitted prices is the result of the time gap between bid placement and winning bid announcement, which reflects the bidders' expected values of the goods at the point of contract sale. Despite this common understanding, conventional CA modeling still treats the prices as deterministic. This causes a major shortcoming when an uncertain environment is assumed to be deterministic and solved through conventional WDP. This study shows that a fuzzy environment modeled via a deterministic WDP approach provides overly optimistic revenue for the auctioneer. A method of using possibilistic distributions of submitted prices to account for price uncertainty is proposed and formalized as Fuzzy Combinatorial Auction Winner Determination Problem (Fuzzy CA WDP). The difference in optimal solutions in deterministic WDP and fuzzy WDP reflects the amount of over estimation when a fuzzy situation is treated as though it is precise. It also reflects the information value when the uncertainty inherent in the fuzzy environment is resolved. Given that the information value is quantified in unit dollars, the fuzzy WDP approach allows the auctioneer to estimate its ``true{''} revenue despite price uncertainties. (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Ignatius, J (Corresponding Author), Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia. Ignatius, Joshua; Mustafa, Adli, Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia. Lai, Young-Jou, Kansas State Univ, Dept Ind \& Mfg Syst Engn, Manhattan, KS 66506 USA. Motlagh, Seyyed Mandi Hossein, KNT Univ Technol, Fac Engn, Dept Ind Engn, Tehran, Iran. Sepehri, Mohammad Mehdi, Univ Tennessee, Dept Stat Operat \& Management Sci, Knoxville, TN 37996 USA.}, DOI = {10.1016/j.eswa.2011.03.022}, ISSN = {0957-4174}, Keywords = {Combinatorial auction; Fuzzy logics; Possibilistic distribution; Risk assessment; Multiple prices; Forward auction}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {josh@usm.my YoungJou.Lai@Halliburton.Com motlagh@modares.ac.ir sepehri@utk.edu adli@cs.usm.my}, Affiliations = {Universiti Sains Malaysia; Kansas State University; University of Tennessee System; University of Tennessee Knoxville}, ResearcherID-Numbers = {Ignatius, Joshua/E-6121-2013 Sepehri, Mohammad Mehdi/A-3030-2011 Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018}, ORCID-Numbers = {Ignatius, Joshua/0000-0003-2546-4576 Mustafa, Adli/0000-0003-0989-674X Sepehri, Mohammad Mehdi/0000-0002-9920-7452 Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X}, Cited-References = {Banks J, 2003, J ECON BEHAV ORGAN, V51, P303, DOI 10.1016/S0167-2681(02)00149-X. 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Appl.}, Doc-Delivery-Number = {770WF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000291118500086}, DA = {2026-04-14}, } @article{ WOS:000371048800002, Author = {Ben Amor, Sarah and Guitouni, Adel and Martel, Jean-Marc}, Title = {A Synthesis of Information Imperfection Representations for Decision Aid}, Journal = {INFOR}, Year = {2015}, Volume = {53}, Number = {2}, Pages = {68-77}, Month = {MAY}, Abstract = {Information imperfection encompasses different terms such as uncertainty, imprecision, inaccuracy or incompleteness, used in the literature to describe any weakness in the quality of available information. Many theories or languages such as probability theory, fuzzy set theory, possibility theory or the theory of evidence, handle these imperfections using different representation formalisms and processing modes. A review of main theories is presented emphasizing their conditions of use, some useful properties and relationships between these theories. These relationships are exploited to build an approach with high-level guidelines to assist the choice of information imperfection representation language in a decision aiding process.}, Publisher = {TAYLOR \& FRANCIS INC}, Address = {530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA}, Type = {Article}, Language = {English}, Affiliation = {Ben Amor, S (Corresponding Author), Univ Ottawa, Telfer Sch Management, 55 Laurier Ave E, Ottawa, ON K1N 6N5, Canada. Ben Amor, Sarah, Univ Ottawa, Telfer Sch Management, 55 Laurier Ave E, Ottawa, ON K1N 6N5, Canada. Guitouni, Adel, Univ Victoria, Victoria, BC V8P 5C2, Canada. Guitouni, Adel; Martel, Jean-Marc, Univ Laval, Fac Sci Adm, Quebec City, PQ G1V 0A6, Canada.}, DOI = {10.3138/infor.53.2.68}, ISSN = {0315-5986}, EISSN = {1916-0615}, Keywords = {Information imperfections; uncertainty modeling; fuzzy set theory; probability theory; theory of evidence; multicriteria decision aid}, Keywords-Plus = {EVIDENTIAL REASONING APPROACH; UNCERTAINTY; PROBABILITY; JUDGMENT}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Information Systems; Operations Research \& Management Science}, Author-Email = {Benamor@telfer.uottawa.ca adelg@uvic.ca Jean-marc.claudette@sympatico.ca}, Affiliations = {University of Ottawa; University of Victoria; Laval University}, ORCID-Numbers = {Guitouni, Adel/0000-0003-2336-5398}, Cited-References = {{[}Anonymous], THESIS U LAVAL. {[}Anonymous], 1985, INT J APPROXIMATE RE. {[}Anonymous], INT SERIES INTELLIGE. {[}Anonymous], ERGBNISSE MATH. {[}Anonymous], IMPERFECTIONS INFORM. {[}Anonymous], MULTIPLE CRITERIA DE. {[}Anonymous], DECISION AID DECISIO. 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Zhang Kejiang, 2010, Integrated Environmental Assessment and Management, V6, P711, DOI 10.1002/ieam.72.}, Number-of-Cited-References = {45}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Infor}, Doc-Delivery-Number = {DF0SH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000371048800002}, DA = {2026-04-14}, } @article{ WOS:000444543900005, Author = {Penha Borges, Roberto Evelim and Guimaraes Dias, Marco Antonio and Doria Neto, Adrian Duarte and Meier, Andreas}, Title = {Fuzzy pay-off method for real options: The center of gravity approach with application in oilfield abandonment}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2018}, Volume = {353}, Pages = {111-123}, Month = {DEC 15}, Abstract = {This paper presents the CoG-FPOM, an adaptation of the Fuzzy Pay-Off Method (FPOM). The FPOM is a scenario-based real option valuation method that uses fuzzy numbers as possibility distributions. The paper shows that there are situations in which the original FPOM calculates the real option value to be negative, what is theoretically incorrect. The cause is related to the method used for obtaining a single representative value out of a fuzzy number. Instead of the possibilistic expected value operation used in the original FPOM, the CoG-FPOM uses the center of gravity (CoG) to accomplish the task - a proof of its general validity is presented. An application to calculate the abandonment real option for petroleum producing fields shows that the proposal can be easily used for project valuation under uncertainty. (C) 2018 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Borges, REP (Corresponding Author), Univ Fed Rio Grande do Norte, Dept Engn Comp \& Automacao, Av Senador Salgado Filho 300, BR-59072970 Natal, RN, Brazil. Penha Borges, Roberto Evelim; Doria Neto, Adrian Duarte, Univ Fed Rio Grande do Norte, Dept Engn Comp \& Automacao, Av Senador Salgado Filho 300, BR-59072970 Natal, RN, Brazil. Penha Borges, Roberto Evelim; Meier, Andreas, Univ Fribourg, Dept Informat, Blvd Perolles 90, CH-1700 Fribourg, Switzerland. Guimaraes Dias, Marco Antonio, Pontificia Univ Catolica Rio de Janeiro, Dept Engn Eletr, Rua Marques Sao Vicente 225, BR-22451900 Rio De Janeiro, Brazil.}, DOI = {10.1016/j.fss.2018.03.008}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibility theory; Fuzzy Pay-Off Method; Real option; Center of gravity; Oilfield abandonment}, Keywords-Plus = {MEAN-VALUE; RANKING}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {roberto.borges@petrobras.com.br marcoagd@ele.puc-rio.br adriao@dca.ufrn.br andreas.meier@unifr.ch}, Affiliations = {Universidade Federal do Rio Grande do Norte; University of Fribourg}, ResearcherID-Numbers = {Neto, Adriao/AAT-5769-2021 }, ORCID-Numbers = {Borges, Roberto/0000-0002-4017-3796 Dias, Marco Antonio G/0000-0003-0852-0716}, Funding-Acknowledgement = {Capes/Brazil through the PDSE scholarship {[}88881.131650/2016-01]; Petrobras/Cenpes through the research project FlexWell}, Funding-Text = {The authors would like to acknowledge the great technical support received from Mikael Collan, Roberto Teodoro and from the members of the Research Center for Fuzzy Management Methods of the University of Fribourg. Roberto E.P. Borges acknowledges the financial support from Capes/Brazil through the PDSE scholarship number 88881.131650/2016-01. Marco A.G. Dias acknowledges the financial support from Petrobras/Cenpes through the research project FlexWell.}, Cited-References = {Amram M., 1999, Real options: managing strategic investment in an uncertain world. {[}Anonymous], 2011, Fuzzy Econ. Rev.. {[}Anonymous], ANAL INVESTIMENTOS C. {[}Anonymous], J APPL MATH DECIS SC. {[}Anonymous], 2013, J INTELLECT PROP RIG. Bai Y., 2006, Advanced Fuzzy Logic Technologies in Industrial Applications, P17, DOI {[}10.1007/978-1-84628-469-4\_2, DOI 10.1007/978-1-84628-469-4\_2]. Bickel JE, 2008, ENERG EXPLOR EXPLOIT, V26, P311, DOI 10.1260/014459808787945344. BLACK F, 1973, J POLIT ECON, V81, P637, DOI 10.1086/260062. BOYLE PP, 1977, J FINANC ECON, V4, P323, DOI 10.1016/0304-405X(77)90005-8. Carlsson C, 2003, FUZZY SET SYST, V139, P297, DOI 10.1016/S0165-0114(02)00591-2. 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Tourinho O.A.F., 1979, The Valuation of Reserves of Natural Resources: An Option Pricing Approach. Yoshida Y, 2006, FUZZY SET SYST, V157, P2614, DOI 10.1016/j.fss.2003.11.022. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {37}, Times-Cited = {18}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {25}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GT5JO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000444543900005}, DA = {2026-04-14}, } @article{ WOS:000286720300001, Author = {Aven, T.}, Title = {Interpretations of alternative uncertainty representations in a reliability and risk analysis context}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {2011}, Volume = {96}, Number = {3}, Pages = {353-360}, Month = {MAR}, Abstract = {Probability is the predominant tool used to measure uncertainties in reliability and risk analyses. However, other representations also exist, including imprecise (interval) probability, fuzzy probability and representations based on the theories of evidence (belief functions) and possibility. Many researchers in the field are strong proponents of these alternative methods, but some are also sceptical. In this paper, we address one basic requirement set for quantitative measures of uncertainty: the interpretation needed to explain what an uncertainty number expresses. We question to what extent the various measures meet this requirement. Comparisons are made with probabilistic analysis, where uncertainty is represented by subjective probabilities, using either a betting interpretation or a reference to an uncertainty standard interpretation. By distinguishing between chances (expressing variation) and subjective probabilities, new insights are gained into the link between the alternative uncertainty representations and probability. (C) 2010 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Aven, T (Corresponding Author), Univ Stavanger, N-4036 Stavanger, Norway. Univ Stavanger, N-4036 Stavanger, Norway.}, DOI = {10.1016/j.ress.2010.11.004}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords = {Interpretation; Uncertainties; Subjective probabilities; Imprecise (interval) probability; Fuzzy probability; Evidence theory; Possibility theory; Risk and reliability analysis}, Keywords-Plus = {PERFORMANCE ASSESSMENTS; PROBABILISTIC ANALYSIS; PROPAGATION; NEED}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {terje.aven@uis.no}, Affiliations = {Universitetet i Stavanger}, Funding-Acknowledgement = {Research Council of Norway}, Funding-Text = {The work has been funded by The Research Council of Norway through the SAMRISK and PETROMAKS research programmes. The financial support is gratefully acknowledged.}, Cited-References = {{[}Anonymous], Aven v. 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Shafer G., 1990, International Journal of Approximate Reasoning, V4, P323, DOI 10.1016/0888-613X(90)90012-Q. Shafer G., 1976, A mathematical theory of evidence, V76. Singpurwalla N.D., 2006, Reliability and Risk: A Bayesian Perspective, V1. Singpurwalla ND, 2004, J AM STAT ASSOC, V99, P867, DOI 10.1198/016214504000001196. Smets P., 1994, ADV DEMPSTER SHAFER, P5. Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427. Winkler RL, 1996, RELIAB ENG SYST SAFE, V54, P127, DOI 10.1016/S0951-8320(96)00070-1. ZADEH LA, 1995, TECHNOMETRICS, V37, P271, DOI 10.2307/1269908. ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. ZIO E, 2006, INTRO BASICS RELIABI.}, Number-of-Cited-References = {55}, Times-Cited = {67}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {32}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {713FL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000286720300001}, DA = {2026-04-14}, } @article{ WOS:000616239200005, Author = {Rabbani, Masoud and Hosseini-Mokhallesun, Seyed Ali Akbar and Ordibazar, Amir Hossein and Farrokhi-Asl, Hamed}, Title = {A hybrid robust possibilistic approach for a sustainable supply chain location-allocation network design}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2020}, Volume = {7}, Number = {1}, Pages = {60-75}, Abstract = {In this paper, a multi-objective multi-period sustainable location-allocation supply chain network model will be presented. Different levels of technology for vehicle fleet, which leads to different monetary and environmental costs, and different released CO2 emission for each potential location of facilities to reach a green supply chain network, were considered. In addition, back order of products, which leads to dissatisfaction of customers, was noted and for different customers, different levels of importance are assumed to consider social impacts. To handle the problem of unpredicted parameters, a novel approach of uncertainty, which is named Hybrid Robust Possibilistic Programming-II (HRPP-II), is used. At last, a case study will be solved by the Improved Augmented E-Constraint method (AUGMECON2) to achieve Pareto solutions, and some sensitivity analysis will be done. New social and environmental considerations in location-allocation supply chain models and using a novel robust approach to overcome the uncertainty of parameters are contributions to the previous models.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Rabbani, M (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, North Kargar St, Tehran, Iran. Rabbani, Masoud; Hosseini-Mokhallesun, Seyed Ali Akbar; Ordibazar, Amir Hossein, Univ Tehran, Coll Engn, Sch Ind \& Syst Engn, Tehran, Iran. Farrokhi-Asl, Hamed, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1080/23302674.2018.1506061}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Sustainable SCM; Hybrid Robust Possibilistic Programming-II; improved augmented E-constraint method}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {mrabani@ut.ac.ir}, Affiliations = {University of Tehran; Iran University Science \& Technology}, ResearcherID-Numbers = {Ordibazar, Amir Hossein/NRB-1320-2025}, ORCID-Numbers = {Farrokhi-Asl, Hamed/0000-0002-5310-5784 Ordibazar, Amir Hossein/0000-0002-7290-0054}, Cited-References = {Brandenburg M, 2014, EUR J OPER RES, V233, P299, DOI 10.1016/j.ejor.2013.09.032. Lin YH, 2016, J CLEAN PROD, V112, P2133, DOI 10.1016/j.jclepro.2014.07.012. Mathiyazhagan K, 2014, INT J PROD RES, V52, P188, DOI 10.1080/00207543.2013.831190. Mavrotas G, 2013, APPL MATH COMPUT, V219, P9652, DOI 10.1016/j.amc.2013.03.002. Mavrotas G, 2009, APPL MATH COMPUT, V213, P455, DOI 10.1016/j.amc.2009.03.037. Mousazadeh M, 2018, INT T OPER RES, V25, P337, DOI 10.1111/itor.12417. Nikbakhsh E, 2009, CONTRIB MANAG SCI, P195, DOI 10.1007/978-3-7908-2156-7\_9. Nurjanni KP, 2017, INT J PROD ECON, V183, P421, DOI 10.1016/j.ijpe.2016.08.028. Pishvaee MS, 2012, FUZZY SET SYST, V206, P1, DOI 10.1016/j.fss.2012.04.010. Pishvaee MS, 2011, APPL MATH MODEL, V35, P637, DOI 10.1016/j.apm.2010.07.013. Rabbani Masoud, 2017, Journal of Industrial Engineering International, V13, P13, DOI 10.1007/s40092-016-0172-8. Sarkis J, 2011, INT J PROD ECON, V130, P1, DOI 10.1016/j.ijpe.2010.11.010. Shaw K, 2012, EXPERT SYST APPL, V39, P8182, DOI 10.1016/j.eswa.2012.01.149. Stadtler H, 2015, SPRING TEXT BUS ECON, P3, DOI 10.1007/978-3-642-55309-7\_1. Tseng ML, 2014, EXPERT SYST APPL, V41, P3250, DOI 10.1016/j.eswa.2013.10.062. Vachon S, 2006, INT J OPER PROD MAN, V26, P795, DOI 10.1108/01443570610672248. Validi S, 2015, COMPUT OPER RES, V54, P204, DOI 10.1016/j.cor.2014.06.015. Xiao YY, 2012, COMPUT OPER RES, V39, P1419, DOI 10.1016/j.cor.2011.08.013. Xu JP, 2013, INFORM SCIENCES, V238, P75, DOI 10.1016/j.ins.2013.02.011. Yousefi H, 2017, INT J IND ENG COMP, V8, P283, DOI 10.5267/j.ijiec.2017.1.003. Zhu QH, 2007, J ENVIRON MANAGE, V85, P179, DOI 10.1016/j.jenvman.2006.09.003.}, Number-of-Cited-References = {21}, Times-Cited = {129}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {39}, Journal-ISO = {Int. J. Syst. Sci.- Oper. Logist.}, Doc-Delivery-Number = {QE5IB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000616239200005}, DA = {2026-04-14}, } @article{ WOS:001260746900004, Author = {Tajani, Elham Kouchaki and Kanafi, Armin Ghane and Daneshmand-Mehr, Maryam and Hosseinzadeh, Ali-Asghar}, Title = {Designing the agile green sustainable multi-channel closed-loop supply chain with dependent demand to price and greenness under epistemic uncertainty}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2024}, Volume = {18}, Number = {4}, Abstract = {The increasing pressure and intensity of world competition in business environments, which is ever-changing, has doubled the necessity of proper reactions by industrial manufacturing organisations and companies. Therefore, this paper proposes a novel design of a closed-loop supply chain with multiple forms of product distribution and collection that aim to maximise profit and social responsibility while minimising delays in delivery and environmental pollution. The proposed model uses two indices, local employment and the number of jobs created, to show the performance of the function of social responsibility. Further, by mentioning pricing and greenness levels for the products in the paper, we formulate customer demands dependent on the price and greenness of the products. Also, RFID technology is considered for every vehicle to reduce time lags during transportation. Besides, the modelling is performed according to a possibilistic mean-absolute deviation approach due to the uncertain nature of some parameters. Eventually, the augmented epsilon-constraint method is utilised to solve and its validation. The results revealed that the proposed model could provide efficient decisions that can be a suitable tool for managers and experts, and it can have extensive application, particularly from a strategic perspective.}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Daneshmand-Mehr, M (Corresponding Author), Islamic Azad Univ, Dept Ind Engn, Lahijan Branch, Lahijan, Iran. Tajani, Elham Kouchaki; Daneshmand-Mehr, Maryam, Islamic Azad Univ, Dept Ind Engn, Lahijan Branch, Lahijan, Iran. Kanafi, Armin Ghane; Hosseinzadeh, Ali-Asghar, Islamic Azad Univ, Dept Math, Lahijan Branch, Lahijan, Iran.}, DOI = {10.1504/EJIE.2024.139348}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {multi-channel; pricing; RFID; possibilistic programming}, Keywords-Plus = {NETWORK DESIGN; IMPACT; DECISIONS; OPTIMIZATION; MANAGEMENT; LEVEL; MODEL}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {elham\_kouchaki@yahoo.com drhz.math1@gmail.com m.daneshmand@liau.ac.ir hosseinzadeh\_ali@liau.ac.ir}, Affiliations = {Islamic Azad University; Islamic Azad University}, ResearcherID-Numbers = {Hosseinzadeh, Ali/PLS-1627-2026}, Cited-References = {Akbari-Kasgari M, 2022, CLEAN TECHNOL ENVIR, V24, P1553, DOI 10.1007/s10098-021-02266-x. Ameknassi L, 2016, INT J PROD ECON, V182, P165, DOI 10.1016/j.ijpe.2016.08.031. 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Yazdi AA, 2015, INT J ENG-IRAN, V28, P738, DOI 10.5829/idosi.ije.2015.28.05b.12. Yu Z, 2022, INT J LOGIST-RES APP, V25, P1115, DOI 10.1080/13675567.2021.1879752. Zelbst PJ, 2020, J MANUF TECHNOL MANA, V31, P441, DOI 10.1108/JMTM-03-2019-0118. Zenouz R.Y., 2021, Research Square, DOI {[}10.21203/rs.3.rs-168565/v1, DOI 10.21203/RS.3.RS-168565/V1]. Zhen L, 2019, J CLEAN PROD, V227, P1195, DOI 10.1016/j.jclepro.2019.04.098.}, Number-of-Cited-References = {67}, Times-Cited = {3}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Eur. J. Ind. Eng.}, Doc-Delivery-Number = {XH3G6}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001260746900004}, OA = {Bronze}, DA = {2026-04-14}, } @article{ WOS:000343378800005, Author = {Tang, Zhang-chun and Lu, Zhen-zhou and Hu, Ji-xiang}, Title = {An efficient approach for design optimization of structures involving fuzzy variables}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {255}, Pages = {52-73}, Month = {NOV 16}, Abstract = {We propose a new approach for solving design optimization problems of structures involving fuzzy variables. First, the possibilistic safety model of structures with fuzzy variables is investigated. A possibilistic safety index (PSI) is presented to compare different designs. This paper then presents the PSI-based design optimization (PSIBDO) model for structures with fuzzy variables. The optimization problem is a triple-loop nested problem, and the computational cost is high. To reduce the computation time, a technique called target performance-based design approach (TPBDA) is proposed to overcome difficulties encountered by the PSIBDO. With the proposed TPBDA, the triple-loop nested problem is reduced to a double-loop one, and the computational time is considerably reduced. Several examples are given to demonstrate the efficiency of the proposed approach. (c) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tang, ZC (Corresponding Author), Northwestern Ploytech Univ, Sch Aeronaut, MailBox 120, Xian 710072, Peoples R China. Tang, Zhang-chun; Lu, Zhen-zhou; Hu, Ji-xiang, Northwestern Ploytech Univ, Sch Aeronaut, Xian 710072, Peoples R China.}, DOI = {10.1016/j.fss.2014.05.017}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Optimization; Fuzzy variables; Possibilistic safety; Possibilistic safety index}, Keywords-Plus = {POSBIST RELIABILITY BEHAVIOR; ROBUST DESIGN; CRASHWORTHINESS; UNCERTAINTIES; PROBABILITY; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {tangzhangchunnpu@163.com}, Funding-Acknowledgement = {Aviation Foundation {[}2011ZA53015]; Special Research Fund for the Doctoral Program of Higher Education of China {[}20116102110003]; Aerospace Support Foundation {[}2011XW010001]}, Funding-Text = {Authors gratefully acknowledge the support of the Aviation Foundation (Grant No. 2011ZA53015), the Special Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102110003) and the Aerospace Support Foundation (Grant No. 2011XW010001). 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Youn BD, 2004, STRUCT MULTIDISCIP O, V26, P272, DOI 10.1007/s00158-003-0345-0.}, Number-of-Cited-References = {52}, Times-Cited = {54}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {38}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AR1XV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000343378800005}, DA = {2026-04-14}, } @article{ WOS:000389098100009, Author = {Mohammadi, Mehrdad and Jula, Payman and Tavakkoli-Moghaddam, Reza}, Title = {Design of a reliable multi-modal multi-commodity model for hazardous materials transportation under uncertainty}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2017}, Volume = {257}, Number = {3}, Pages = {792-809}, Month = {MAR 16}, Abstract = {In this paper, we propose a new mathematical model for designing a reliable hazardous material (HAZMAT) transportation network (RHTND) on the basis of hub location topology under uncertainties, in which hub nodes may be disrupted by external events, as well as HAZMATs incidents. Hub locations and HAZMAT transportation routes using different transportation modes are simultaneously optimized to obtain minimum risk of incidents. A mixed integer nonlinear programing model is developed. To cope with the uncertainties in the model, we provide a solution framework based on an integration of the well-known chance-constrained programing with a possibilistic programing approach. Small size problems are solved to optimality. In order to solve large size instances, a meta-heuristic algorithm was applied and its performance is evaluated in comparison with a new lower bound approach through analysis of a real case-study of a HAZMAT transportation network. (C) 2016 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Jula, P (Corresponding Author), Simon Fraser Univ, Beedie Sch Business, Vancouver, BC, Canada. Mohammadi, Mehrdad, CNRS, LIMOS, Ecole Mines St Etienne, Dept Mfg Sci \& Logist,CMP,UMR 6158, 880 Ave Mimet, F-13541 Gardanne, France. Mohammadi, Mehrdad; Tavakkoli-Moghaddam, Reza, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Jula, Payman, Simon Fraser Univ, Beedie Sch Business, Vancouver, BC, Canada.}, DOI = {10.1016/j.ejor.2016.07.054}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Transportation; Multi-modal hazardous materials transportation; Hub location problem; Hub disruption; Mixed integer programing}, Keywords-Plus = {FACILITY LOCATION DESIGN; HUB COVERING LOCATION; PROGRAMMING-MODEL; NETWORK; ALLOCATION; ROUTES; QUEUE; COST; RISK}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {mehrdad.mohammadi@emse.fr pjula@sfu.ca}, Affiliations = {IMT - Institut Mines-Telecom; Mines Saint-Etienne; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences \& Technologies (INS2I); Universite Clermont Auvergne (UCA); University of Tehran; Simon Fraser University}, ResearcherID-Numbers = {MOHAMMADI, Mehrdad/KIA-9696-2024 Tavakkoli-Moghaddam, Reza/P-1948-2015}, ORCID-Numbers = {MOHAMMADI, Mehrdad/0000-0002-3726-8356 Jula, Payman/0009-0000-0080-7443 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X}, Cited-References = {Aboolian R, 2013, INFORMS J COMPUT, V25, P720, DOI 10.1287/ijoc.1120.0534. 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Res.}, Doc-Delivery-Number = {ED8BY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000389098100009}, DA = {2026-04-14}, } @article{ WOS:000284134600014, Author = {Mula, Josefa and Peidro, David and Poler, Raul}, Title = {The effectiveness of a fuzzy mathematical programming approach for supply chain production planning with fuzzy demand}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2010}, Volume = {128}, Number = {1, SI}, Pages = {136-143}, Month = {NOV}, Abstract = {The main focus of this work is to prove the effectiveness of a fuzzy mathematical programming approach to model a supply chain production planning problem with uncertainty in demand. A fuzzy optimization model that takes into account the lack of knowledge in market demand is developed. This work uses an approach of possibilistic programming. Such an approach makes it possible to model the epistemic uncertainty in demand that could be present in the supply chain production planning problems as triangular fuzzy numbers. The emphasis is on obtaining more knowledge about the impact of fuzzy programming on supply chain planning problems with uncertain demand. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Mula, J (Corresponding Author), Escuela Politecn Super Alcoy, Dpto Org Empresas, Edificio Ferrandiz \& Carbonell 2, Alcoy 03801, Alicante, Spain. Mula, Josefa; Peidro, David; Poler, Raul, Univ Politecn Valencia, CIGIP Res Ctr Prod Management \& Engn, Valencia, Spain.}, DOI = {10.1016/j.ijpe.2010.06.007}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {Fuzzy mathematical programming; Supply chain; Production planning; Uncertainty modelling; Fuzzy sets}, Keywords-Plus = {UNCERTAINTY; DECISION; SYSTEMS; LOGIC}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {fmula@cigip.upv.es dapeipa@cicip.upv.es rpoler@cigip.upv.es}, Affiliations = {Universitat Politecnica de Valencia}, ResearcherID-Numbers = {Mula, Josefa/F-4804-2012 Poler, Raul/D-2549-2012 Peio, David/L-5985-2017}, ORCID-Numbers = {Mula, Josefa/0000-0002-8447-3387 Poler, Raul/0000-0003-4475-6371 Peio, David/0000-0001-8678-6881}, Funding-Acknowledgement = {Spanish Ministry of Science and Technology {[}DPI2004-06916-C02-0, DPI2007-65501]; Universidad Politecnica de Valencia {[}PAID-05-08/3720]}, Funding-Text = {This work has been funded partly by the Spanish Ministry of Science and Technology projects: `Hierarchical methodology in context of uncertainty in the collaborative planning of a supply-distribution chain/network. Application to the ceramic sector' (RDSINC) (Ref. DPI2004-06916-C02-0); `Simulation and evolutionary computation and fuzzy optimization models of transportation and production planning processes in a supply chain. Proposal of collaborative planning supported by multiagent systems. Integration in a decision system. Applications' (EVOLUTION) (Ref. DPI2007-65501); and partly by the Vice-Rectorate for Research of the Universidad Politecnica de Valencia (PAID-05-08/3720).}, Cited-References = {ALEMANY MME, 2009, INT J PRODU IN PRESS. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. Bhatnagar R, 2005, TECHNOVATION, V25, P443, DOI 10.1016/S0166-4972(03)00172-X. Christopher M., 1992, Logistics and Supply Chain Management: Strategies for reducing costs and improving services. DAVIS T, 1993, SLOAN MANAGE REV, V34, P35. deKok T, 1997, EUR J OPER RES, V103, P55, DOI 10.1016/S0377-2217(96)00255-X. DUBOIS D, 2002, EUR J OPER RES, V147, P231. Dubois D., 1988, POSSIBILITY THEORY. 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Wang RC, 2001, EUR J OPER RES, V133, P521, DOI 10.1016/S0377-2217(00)00196-X.}, Number-of-Cited-References = {36}, Times-Cited = {90}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {29}, Journal-ISO = {Int. J. Prod. Econ.}, Doc-Delivery-Number = {679BO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000284134600014}, DA = {2026-04-14}, } @article{ WOS:000270150200016, Author = {Chen, Wei and Tan, Shaohua}, Title = {On the possibilistic mean value and variance of multiplication of fuzzy numbers}, Journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, Year = {2009}, Volume = {232}, Number = {2}, Pages = {327-334}, Month = {OCT 15}, Abstract = {In this paper, we introduce the definitions of the possibilistic mean, variance and covariance of multiplication of fuzzy numbers, and show some properties of these definitions. Then, we apply these definitions to build the possibilistic models of portfolio selection under the situations involving uncertainty over the time horizon, by considering the portfolio selection problem from the point of view of possibilistic analysis. Moreover, numerical experiments with real market data indicate that our approach results in better portfolio performance. (C) 2009 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Chen, W (Corresponding Author), Peking Univ, Sch Elect Engn \& Comp Sci, Room 2314, Beijing 100871, Peoples R China. Chen, Wei; Tan, Shaohua, Peking Univ, Sch Elect Engn \& Comp Sci, Beijing 100871, Peoples R China.}, DOI = {10.1016/j.cam.2009.06.016}, ISSN = {0377-0427}, Keywords = {Multiplication of fuzzy numbers; Possibilistic mean value; Possibilistic variance; Portfolio selection}, Keywords-Plus = {PORTFOLIO SELECTION}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {pekingchenwei@hotmail.com}, Affiliations = {Peking University}, Cited-References = {{[}Anonymous], 2006, J. Fuzzy Math.. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. CHEN W, 2009, IEEE INT C IN PRESS. Chou CC, 2003, COMPUT MATH APPL, V45, P1601, DOI 10.1016/S0898-1221(03)00139-1. Dubois D., 1979, Fuzzy Sets and Systems, V2, P327, DOI 10.1016/0165-0114(79)90005-8. Liu H, 2002, REV FINANC STUD, V15, P805, DOI 10.1093/rfs/15.3.805. Ma M, 1999, FUZZY SET SYST, V108, P83, DOI 10.1016/S0165-0114(97)00310-2. Markowitz HarryM., 1968, Portfolio selection: efficient diversification of investments, V16. Martellini L, 2006, MANAGE SCI, V52, P955, DOI 10.1287/mnsc.1060.0507. Mizumoto M., 1976, SYSTEM CUMPUT CONTRO, V7, P73. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2005, LECT NOTES COMPUT SC, V3521, P203.}, Number-of-Cited-References = {13}, Times-Cited = {15}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {8}, Journal-ISO = {J. Comput. Appl. Math.}, Doc-Delivery-Number = {498OE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000270150200016}, DA = {2026-04-14}, } @article{ WOS:001489389300001, Author = {Prakash, Yuvashri}, Title = {Optimizing decision-making with integrated possibility, necessity, and credibility measures in hesitant fuzzy linear programming under uncertainty with industrial application}, Journal = {JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY}, Year = {2026}, Volume = {77}, Number = {3}, Pages = {673-694}, Month = {MAR 4}, Abstract = {This paper presents a novel approach to solving hesitant fuzzy linear programming (HFLP) problems by leveraging possibility, necessity and credibility measures within a chance-constrained framework. Hesitant fuzzy sets (HFS) allow for the representation of uncertainty where multiple possible values for membership grades exist offering a more nuanced model for real-world problems characterized by ambiguity and partial truth. In our proposed method we integrate possibility and necessity measures to handle the inherent fuzziness and hesitancy in the data thus providing a robust mechanism to evaluate the feasibility and reliability of solutions. The chance-constrained programming technique is employed to ensure that constraints are satisfied to a specified confidence level accommodating the stochastic nature of the problem parameters. This integration enhances the decision-making process by accounting for both the likelihood and the necessity of events, leading to more informed and reliable outcomes. We demonstrate the efficacy of our approach through Industrial application and showcasing its potential along in as applications where uncertainty and hesitancy are prevalent. The results indicate that our method not only improves solution quality but also offers flexibility in adjusting the levels of optimism and pessimism in decision-making. This work contributes to the advancement of HFLP by providing a comprehensive framework that bridges fuzzy uncertainty with probabilistic constraint satisfaction.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Prakash, Y (Corresponding Author), Rajalakshmi Engn Coll, Dept Math H\&S, Chennai 602105, India. Prakash, Yuvashri, Rajalakshmi Engn Coll, Dept Math H\&S, Chennai 602105, India.}, DOI = {10.1080/01605682.2025.2495769}, EarlyAccessDate = {APR 2025}, ISSN = {0160-5682}, EISSN = {1476-9360}, Keywords = {Hesitant fuzzy numbers; hesitant fuzzy linear programming; possibility measure; necessity measure; credibility measures; chance constrained method}, Keywords-Plus = {NUMBERS; MODEL; MANAGEMENT; SETS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {spprakash199@gmail.com}, Affiliations = {Rajalakshmi Engineering College}, Cited-References = {Chakraborty D., 2014, INT J ENG MATH, V2014, P1, DOI {[}10.1155/2014/593185, DOI 10.1155/2014/593185]. Dong YZ, 2011, PROCEDIA ENGINEER, V15, DOI 10.1016/j.proeng.2011.08.321. Faizi S, 2018, INT J FUZZY SYST, V20, P93, DOI 10.1007/s40815-017-0313-2. 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Zhang S, 2017, INFORM FUSION, V38, P1, DOI 10.1016/j.inffus.2017.02.001. Zhang YM, 2010, J AIR WASTE MANAGE, V60, P711, DOI 10.3155/1047-3289.60.6.711.}, Number-of-Cited-References = {30}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {J. Oper. Res. Soc.}, Doc-Delivery-Number = {DV6MZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001489389300001}, DA = {2026-04-14}, } @article{ WOS:000241298300001, Author = {Wang, Juite and Hwang, W. -L.}, Title = {A fuzzy set approach for R\&D portfolio selection using a real options valuation model}, Journal = {OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE}, Year = {2007}, Volume = {35}, Number = {3}, Pages = {247-257}, Month = {JUN}, Abstract = {Making R\&D portfolio decision is difficult, because long lead times of R\&D and market and technology dynamics lead to unavailable and unreliable collected data for portfolio management. The objective of this research is to develop a fuzzy R\&D portfolio selection model to hedge against the R\&D uncertainty. Fuzzy set theory is applied to model uncertain and flexible project information. Since traditional project valuation methods often underestimate the risky project, a fuzzy compoundoptions model is used to evaluate the value of each R\&D project. The R\&D portfolio selection problem is formulated as a fuzzy zero-one integer programming model that can handle both uncertain and flexible parameters to determine the optimal project portfolio. A new transformation method based on qualitative possibility theory is developed to convert the fuzzy portfolio selection model into a crisp mathematical model from the risk-averse perspective. The transformed model can be solved by an optimization technique. An example is used to illustrate the proposed approach. We conclude that the proposed approach can assist decision makers i}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Wang, JT (Corresponding Author), Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, Taichung 402, Taiwan. Wang, Juite, Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, Taichung 402, Taiwan. Hwang, W. -L., S Tech Corp, R\&D Dept, Tainan, Taiwan.}, DOI = {10.1016/j.omega.2005.06.002}, ISSN = {0305-0483}, Keywords = {management of science/technology; portfolio selection; project management; fuzzy sets; optimization}, Keywords-Plus = {DEVELOPMENT PROJECT-SELECTION; DECISION; MANAGEMENT; FRONTIER; LOGIC}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {rdwang@nchu.edu.tw}, Affiliations = {National Chung Hsing University}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {{[}Anonymous], FUZZY SET SYST. BAKER N, 1975, MANAGE SCI B-APPL, V21, P1164, DOI 10.1287/mnsc.21.10.1164. Beaujon GJ, 2001, NAV RES LOG, V48, P18, DOI 10.1002/1520-6750(200102)48:1<18::AID-NAV2>3.0.CO;2-7. Bertsekas DimitriP., 1999, Nonlinear Programming, V2. 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SOUDER WE, 1986, RES MANAGE, V29, P36, DOI 10.1080/00345334.1986.11756981. Wang J, 2004, EUR J OPER RES, V152, P180, DOI 10.1016/S0377-2217(02)00701-4.}, Number-of-Cited-References = {31}, Times-Cited = {197}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {131}, Journal-ISO = {Omega-Int. J. Manage. Sci.}, Doc-Delivery-Number = {095HH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000241298300001}, DA = {2026-04-14}, } @article{ WOS:A1993LR07800013, Author = {YAN, BL}, Title = {SEMICONORMED POSSIBILITY INTEGRALS FOR APPLICATION-ORIENTED MODELING}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1993}, Volume = {57}, Number = {2}, Pages = {239-248}, Month = {JUL 26}, Abstract = {Semiconormed possibility integrals are proposed as a family of models for decision making, which have some special properties due to the non-normalized possibility measures. The semiconormed possibility integrals are developed from the semiconormed fuzzy integrals and the non-normalized possibility measures. The non-normalized possibility measures, induced from the fuzzy sets, have the property that the measure of the universe can be less than or equal to one. When the universe consists of a set of information sources, the possibility measure of a subset of information sources is considered as the credibility of the subset sources. The non-normalization is due to the fact that an information source in application introduces uncertainty during data acquisition, therefore, an information source in reality usually is not fully credible. To improve the precision of modelling, the credibility values of each information source are learned from training data. In term of learning computation, a non-normalized possibility measure is much simpler to construct than a fuzzy measure. Finally, two applications of the semiconormed possibility integrals are presented.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {YAN, BL (Corresponding Author), UNIV MISSOURI, DEPT ELECT \& COMP ENGN, COLUMBIA, MO 65211 USA.}, DOI = {10.1016/0165-0114(93)90164-D}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {SEMICONORMED POSSIBILITY INTEGRALS; MODELING; DECISION MAKING; PATTERN RECOGNITION; MULTICRITERIA ANALYSIS}, Keywords-Plus = {FUZZY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {DUBOIS D, 1986, POSSIBILITY THEORY, P9. Duda R., 2000, Pattern classification and scene analysis. GARCIA FS, 1986, FUZZY SET SYST, V18, P67, DOI 10.1016/0165-0114(86)90028-X. HARALICK RM, 1973, IEEE T SYSTEM MAN CY, V3. KELLER J, 1986, P NAFIPS. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {12}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {LR078}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1993LR07800013}, DA = {2026-04-14}, } @article{ WOS:000413448500007, Author = {De Mol, Robin and Bronselaer, Antoon and De Tre, Guy}, Title = {Evaluating flexible criteria on uncertain data}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2017}, Volume = {328}, Pages = {122-140}, Month = {DEC 1}, Abstract = {Modern information management systems and databases are rapidly becoming better equipped for handling data imperfections. A common imperfection is uncertainty, indicating that a property's exact value is not known. Ideally, such systems can be queried uniformly using flexible criteria regardless of whether the underlying data are uncertain or not. The result thereof should always be informative and intuitive, and should reflect to what degree the data satisfy the criteria and to which degree this is uncertain. In this work, we present a novel way to evaluate flexible criteria on uncertain data. The result thereof is a distribution of uncertainty over degrees of satisfaction. These so-called suitability distributions are first constructed for possibilistic data. It is shown that they can be used in all scenarios going from regular, crisp criteria on certain data to flexible criteria on uncertain data, and that they seamlessly generalize other alternatives. Importantly, their interpretation is always the same, so they can be used without needing to have prior knowledge regarding the quality of the data. Afterwards their properties and supported operations are given. Next it is shown that they can also be applied more broadly, for example for probabilistic data. Examples illustrate their rich semantics, ease-of-use and broad applicability. (C) 2017 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {De Mol, R (Corresponding Author), Univ Ghent, Dept Telecommun \& Informat Proc Database Document, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium. De Mol, Robin; Bronselaer, Antoon; De Tre, Guy, Univ Ghent, Dept Telecommun \& Informat Proc Database Document, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium.}, DOI = {10.1016/j.fss.2017.07.012}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Information retrieval; Possibility theory; Fuzzy system models}, Keywords-Plus = {FUZZY; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {robin.demol@ugent.be antoon.bronselaer@ugent.be guy.detre@ugent.be}, Affiliations = {Ghent University}, ResearcherID-Numbers = {De Tré, Guy/C-6374-2014 }, ORCID-Numbers = {De Tré, Guy/0000-0002-1283-1915 Bronselaer, Antoon/0000-0001-6663-192X}, Cited-References = {{[}Anonymous], FUZZY INFORM DECISIO. {[}Anonymous], 2015, Uncertain Multi -Attribute Decision Making: Methods and Applications. {[}Anonymous], FUNDAMENTALS FUZZY S. {[}Anonymous], 1997, FLEXIBLE QUERY ANSWE. {[}Anonymous], DATABASE TECHNOLOGIE. {[}Anonymous], FORMAL REPRESENTATIO. {[}Anonymous], 1997, Flexible Query Answering Systems. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {31}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {FK4GI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000413448500007}, DA = {2026-04-14}, } @article{ WOS:000276327100010, Author = {Podofillini, L. and Zio, E. and Mercurio, D. and Dang, V. N.}, Title = {Dynamic safety assessment: Scenario identification via a possibilistic clustering approach}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {2010}, Volume = {95}, Number = {5}, Pages = {534-549}, Month = {MAY}, Abstract = {Dynamic safety and reliability methodologies aim at quantitatively describing the integrated dynamic response of the systems/components/operating crew during an accident by combining the models of the underlying process dynamics and human operator actions with the stochastic processes governing the failure, repair and state transitions of components and systems. The amount of information produced by such dynamic analyses, in terms of scenarios and probability distributions of the occurring events, is very broad and usually calls for a significant effort in the post-processing phase. In an attempt to retrieve and organize this information, the present paper presents an approach for identifying and grouping the scenarios resulting from a dynamic system safety analysis. The aim is to single out the principal patterns of system evolution with respect not only to the final system states but also to the time of events and to the process evolution. Due to the burden of the analysis, this is often overlooked in dynamic safety analyses, which mainly focus on the system states at the end of the scenarios with little consideration given to the actual evolution of the system towards these states. Monte Carlo simulation is exploited for generating stochastic scenarios that are then grouped by combining information from the end state, the sequence of events and the physical behavior of the process variables. The grouping is based on possibilistic clustering classification. The approach has been tested on scenarios produced by dynamic simulation of a chemical batch reactor of literature in which a highly exothermic process is worked out. (C) 2010 Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Podofillini, L (Corresponding Author), Paul Scherrer Inst, Wurenlingen, Switzerland. Podofillini, L.; Mercurio, D.; Dang, V. N., Paul Scherrer Inst, Wurenlingen, Switzerland. Zio, E., Politecn Milan, Milan, Italy.}, DOI = {10.1016/j.ress.2010.01.004}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords = {Dynamic safety assessment; Dynamic risk assessment; Dynamic reliability; Monte Carlo; Fuzzy clustering}, Keywords-Plus = {NUCLEAR TRANSIENTS; RISK-ASSESSMENT; CLASSIFICATION; RELIABILITY; EVENT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {luca.podofillini@psi.ch}, Affiliations = {Swiss Federal Institutes of Technology Domain; Paul Scherrer Institute; Polytechnic University of Milan}, ResearcherID-Numbers = {Dang, Vinh/HDO-0223-2022 }, ORCID-Numbers = {Dang, Vinh/0000-0002-4921-2421 Zio, Enrico/0000-0002-7108-637X}, Funding-Acknowledgement = {Swiss Federal Nuclear Safety Inspectorate (ENSI) {[}82610]}, Funding-Text = {This work is funded by the Swiss Federal Nuclear Safety Inspectorate (ENSI), under DIS-Vertrag Nr. 82610. The views expressed in this article are solely those of the authors.}, Cited-References = {Acosta C, 1991, THESIS MIT. ALDEMIR T, 2007, NUREGCR6942. Arpornwichanop A, 2005, CHEM ENG PROCESS, V44, P101, DOI 10.1016/j.cep.2004.04.010. Chang Y.H., 1999, Cognitive Modeling and Dynamic Probabilistic Simulation of Operating Crew Response to Complex System Accidents (ADSIDA Crew). Dubois D., 1988, POSSIBILITY THEORY. Fantoni PF, 2005, PROG NUCL ENERG, V46, P206, DOI 10.1016/j.pnucene.2005.03.005. Hakobyan A, 2008, NUCL ENG DES, V238, P3457, DOI 10.1016/j.nucengdes.2008.08.005. Hsueh KS, 1996, RELIAB ENG SYST SAFE, V52, P297, DOI 10.1016/0951-8320(95)00140-9. KELLER JM, 1985, IEEE T SYST MAN CYB, V15, P580, DOI 10.1109/TSMC.1985.6313426. Klir G.J., 1988, Fuzzy Sets, Uncertainty and Information. Kloos M., 2008, Proceedings of the Institution of Mechanical Engineers, Part O (Journal of Risk and Reliability), V222, P303, DOI 10.1243/1748006XJRR125. 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Saf.}, Doc-Delivery-Number = {578WK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000276327100010}, DA = {2026-04-14}, } @article{ WOS:000357230000008, Author = {Kocadagli, Ozan and Keskin, Ridvan}, Title = {A novel portfolio selection model based on fuzzy goal programming with different importance and priorities}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2015}, Volume = {42}, Number = {20}, Pages = {6898-6912}, Month = {NOV 15}, Abstract = {Despite the risk return tradeoff is main concern of financial theory; the rational investment decisions requires considering many criteria simultaneously. In addition to determining a certain importance and priority among these criteria, modeling the investor behaviors in accordance with market trends provides much more realistic approach. However, the researchers mostly overlook to evaluate these concepts simultaneously. This article introduces a novel fuzzy portfolio selection model that takes into accounts the risk preferences in accordance with the market moving trends as well as the risk return tradeoff, and allows the decision makers to define a certain importance and priority among their objectives. To construct this model, firstly the portfolio return, risk and beta coefficient are assumed as main objectives including the possibilistic uncertainties. To define possibilistic uncertainty, the specific fuzzy membership functions are constituted for these objectives with respect to the risk preferences of investors and market moving trends. By means of the fuzzy goal programming techniques, a novel portfolio selection model is developed using these specific fuzzy membership functions. In the application section, three investment terms are examined in the Istanbul Stock Exchange National 30 Index. While ISE30 index has the upward (bullish) and the downward (bearish) moving trends in the first two implementations, the third implementation includes a scenario in which the investors desire to chase the ISE30 index. In the analyses, the proposed model is compared with the classical Mean Variance, Mean-Absolute-Deviation and Maxmin models in terms of their portfolio returns based on the selling prices in the test periods. As a result, the proposed model gives superior performance than the classical models because it takes into account the investor preferences in accordance with market moving trend. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kocadagli, O (Corresponding Author), Silahsor Cad 71, TR-34380 Istanbul, Turkey. Kocadagli, Ozan, Mimar Sinan Fine Arts Univ, Dept Stat, TR-34380 Istanbul, Turkey. Keskin, Ridvan, Celal Bayar Univ, Fac Econ \& Adm Sci, Dept Econometr, TR-45030 Manisa, Turkey.}, DOI = {10.1016/j.eswa.2015.04.047}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Multiple objective programming; Fuzzy goal programming; Portfolio selection model; Risk preferences of investors; Capital Asset Pricing Model}, Keywords-Plus = {OPTIMIZATION; CAPM}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ozankocadagli@gmail.com ridvankeskin69@gmail.com}, Affiliations = {Mimar Sinan Guzel Sanatlar University; Celal Bayar University}, ResearcherID-Numbers = {kocadagli, ozan/AAO-2482-2021 keskin, rıdvan/W-2283-2017}, ORCID-Numbers = {kocadagli, ozan/0000-0003-4354-7383 }, Cited-References = {Bellman R. 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Zarandi MHF, 2008, PROCEEDINGS OF THE 11TH JOINT CONFERENCE ON INFORMATION SCIENCES. Zhang P, 2014, FUZZY SET SYST, V255, P74, DOI 10.1016/j.fss.2014.07.018. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {45}, Times-Cited = {43}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {72}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {CL8MY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000357230000008}, DA = {2026-04-14}, } @article{ WOS:000672862600019, Author = {Zhang, Qiansheng and Sun, Dongfang}, Title = {Some notes on possibilistic variances of generalized trapezoidal intuitionistic fuzzy numbers}, Journal = {AIMS MATHEMATICS}, Year = {2021}, Volume = {6}, Number = {4}, Pages = {3720-3740}, Abstract = {Intuitionistic fuzzy number as the generalization of fuzzy number has better capability to model uncertain data in management decision science and mathematical engineering problem. In this paper, we present a new definition of possibilistic mean and variance for generalized trapezoidal intuitionistic fuzzy number (GTIFN), and show that some properties of crisp mean and variance in probability theory are preserved by possibilistic mean and variance of generalized trapezoidal intuitionistic fuzzy numbers. We also discuss some notes on possibilistic variance of GTIFNs and get the important relationships between the proposed two possibilistic variances of generalized trapezoidal intuitionistic fuzzy number.}, Publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS}, Address = {PO BOX 2604, SPRINGFIELD, MO 65801-2604, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Zhang, QS (Corresponding Author), Guangdong Univ Foreign Studies, Sch Math \& Stat, Guangzhou 510006, Peoples R China. Zhang, Qiansheng, Guangdong Univ Foreign Studies, Sch Math \& Stat, Guangzhou 510006, Peoples R China. Sun, Dongfang, Guangdong Univ Foreign Studies, Sch Finance, Guangzhou 510006, Peoples R China.}, DOI = {10.3934/math.2021221}, EISSN = {2473-6988}, Keywords = {generalized trapezoidal intuitionistic fuzzy number; possibilistic mean; possibilistic variance; possibilistic covariance}, Keywords-Plus = {PORTFOLIO OPTIMIZATION MODEL; DECISION-MAKING; SELECTION}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {zhqiansh01@gdufs.edu.cn}, Affiliations = {Guangdong University of Foreign Studies; Guangdong University of Foreign Studies}, ResearcherID-Numbers = {Sun, Dongfang/OZF-7694-2025}, Funding-Acknowledgement = {Guangdong Basic and Applied Basic Research Foundation {[}2018A030313996]}, Funding-Text = {We thank the Editor and the anonymous referees for their good suggestions and comments. 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Zhou W, 2014, J INTELL FUZZY SYST, V27, P2679, DOI 10.3233/IFS-141239.}, Number-of-Cited-References = {30}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {AIMS Math.}, Doc-Delivery-Number = {TI5SH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000672862600019}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000242517500015, Author = {Guo, Peijun and Tanaka, Hideo}, Title = {Dual models for possibilistic regression analysis}, Journal = {COMPUTATIONAL STATISTICS \& DATA ANALYSIS}, Year = {2006}, Volume = {51}, Number = {1}, Pages = {253-266}, Month = {NOV 1}, Abstract = {Upper and lower regression models (dual possibilistic models) are proposed for data analysis with crisp inputs and interval or fuzzy outputs. Based on the given data, the dual possibilistic models can be derived from upper and lower directions, respectively, where the inclusion relationship between these two models holds. Thus, the inherent uncertainty existing in the given phenomenon can be approximated by the dual models. As a core part of possibilistic regression, firstly possibilistic regression for crisp inputs and interval outputs is considered where the basic dual linear models based on linear programming, dual nonlinear models based on linear programming and dual nonlinear models based on quadratic programming are systematically addressed, and similarities between dual possibilistic regression models and rough sets are analyzed in depth. Then, as a natural extension, dual possibilistic regression models for crisp inputs and fuzzy outputs are addressed. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Guo, P (Corresponding Author), Kagawa Univ, Fac Econ, Kagawa 7608523, Japan. Kagawa Univ, Fac Econ, Kagawa 7608523, Japan. Hiroshima Int Univ, Dept Kansei Informat, Higashihiroshima 7240695, Japan.}, DOI = {10.1016/j.csda.2006.04.005}, ISSN = {0167-9473}, EISSN = {1872-7352}, Keywords = {possibilistic regression analysis; linear programming; quadratic programming; rough sets}, Keywords-Plus = {FUZZY REGRESSION; INPUT}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Statistics \& Probability}, Author-Email = {guo@ec.kagawa-u.ac.jp}, Affiliations = {Kagawa University; Hiroshima International University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, ORCID-Numbers = {Guo, Peijun/0000-0001-9841-1673}, Cited-References = {CELMINS A, 1987, FUZZY SET SYST, V22, P245, DOI 10.1016/0165-0114(87)90070-4. Chen YS, 2001, FUZZY SET SYST, V119, P259, DOI 10.1016/S0165-0114(99)00049-4. Cheng CB, 2001, FUZZY SET SYST, V119, P291, DOI 10.1016/S0165-0114(99)00098-6. D'Urso P, 2005, FUZZY SET SYST, V150, P285, DOI 10.1016/j.fss.2004.03.024. 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Wu HC, 2003, COMPUT STAT DATA AN, V42, P203, DOI 10.1016/S0167-9473(02)00116-0.}, Number-of-Cited-References = {29}, Times-Cited = {39}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Comput. Stat. Data Anal.}, Doc-Delivery-Number = {112HV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000242517500015}, DA = {2026-04-14}, } @article{ WOS:000304103200004, Author = {Wang, Hsiao-Fan and Hsu, Hsin-Wei}, Title = {A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2012}, Volume = {11}, Number = {2}, Pages = {177-208}, Month = {JUN}, Abstract = {Closed-loop logistics planning is an important tactic for the achievement of sustainable development. However, the correlation among the demand, recovery, and landfilling makes the estimation of their rates uncertain and difficult. Although the fuzzy numbers can present such kinds of overlapping phenomena, the conventional method of defuzzification using level-cut methods could result in the loss of information. To retain complete information, the possibilistic approach is adopted to obtain the possibilistic mean and mean square imprecision index () of the shortage and surplus for uncertain factors. By applying the possibilistic approach, a multi-objective, closed-loop logistics model considering shortage and surplus is formulated. The two objectives are to reduce both the total cost and the root . Then, a non-dominated solution can be obtained to support decisions with lower perturbation and cost. Also, the information on prediction interval can be obtained from the possibilistic mean and root to support the decisions in the uncertain environment. This problem is non-deterministic polynomial-time hard, so a new algorithm based on the spanning tree-based genetic algorithm has been developed. Numerical experiments have shown that the proposed algorithm can yield comparatively efficient and accurate results.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Hsu, HW (Corresponding Author), Natl Tsing Hua Univ, Dept Ind Engn \& Engn Management, Hsinchu, Taiwan. Wang, Hsiao-Fan; Hsu, Hsin-Wei, Natl Tsing Hua Univ, Dept Ind Engn \& Engn Management, Hsinchu, Taiwan.}, DOI = {10.1007/s10700-012-9120-2}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Closed-loop logistics; Fuzzy number; Possibilistic mean; Genetic algorithms; Shortage and surplus}, Keywords-Plus = {CODED GENETIC ALGORITHM; SCHEDULING PROBLEM; CHAIN NETWORK; MEAN-VALUE; PERFORMANCE; DESIGN}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {d9534802@oz.nthu.edu.tw}, Affiliations = {National Tsing Hua University}, ResearcherID-Numbers = {Hsu, Hsin-Wei/HZJ-9684-2023}, ORCID-Numbers = {Hsu, Hsin-Wei/0000-0001-8396-7409}, Funding-Acknowledgement = {National Science Council {[}NSC 97-2221-E007-095-MY3]}, Funding-Text = {The authors acknowledge the financial support from National Science Council with project number NSC 97-2221-E007-095-MY3.}, Cited-References = {Abuali F., 1995, PROC 6 INT C GENETIC, P470. {[}Anonymous], MATHWARE SOFT COMPUT. 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Mak.}, Doc-Delivery-Number = {943EL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000304103200004}, DA = {2026-04-14}, } @article{ WOS:001326976900001, Author = {Sheikholeslami, Mahnaz and Zarrinpoor, Naeme}, Title = {Designing a robust logistics model for perishable emergency commodities in an epidemic outbreak using Lagrangian relaxation: a case of COVID-19}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2024}, Volume = {343}, Number = {1}, Pages = {459-491}, Month = {DEC}, Abstract = {This paper proposes a three-echelon emergency commodities supply chain that considers location, allocation, distribution, and resource management planning to minimize the total cost when an epidemic occurs. The model takes into account some key aspects of the emergency distribution network in the event of an outbreak, such as the possibility of quarantining epidemic areas and delays in emergency commodity distribution, commodity storage due to panic buying, demand uncertainty, distribution time, and periodic review and updating of emergency commodity inventories. The model controls the remaining lifetime of the goods while taking into account their perishability. Various types of vehicles with differing capacities, transportation speeds, and costs are studied in order to achieve a suitable balance between cost and speed of delivering commodities. A robust possibilistic programming approach is used to deal with parameter uncertainty and a Lagrangian relaxation approach is used to solve the proposed model. A real case study on COVID-19 is presented in order to illustrate the validity of the suggested model as well as the effectiveness of the developed solution method, and a sensitivity analysis is performed. Based on the findings of this study, considering the uncertainties of system costs, demand, quarantine probability, and delays in the distribution of commodities have a significant impact on network costs during an epidemic outbreak and ignoring them leads to inaccurate estimates of system costs.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zarrinpoor, N (Corresponding Author), Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran. Sheikholeslami, Mahnaz; Zarrinpoor, Naeme, Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran.}, DOI = {10.1007/s10479-024-06116-z}, EarlyAccessDate = {OCT 2024}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Emergency commodities distribution; Epidemics control logistics; Inventory management; Robust possibilistic programming}, Keywords-Plus = {MEDICAL RESOURCES; ALLOCATION; LOCATION; NETWORK; FOOD}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {m.sheikholeslami1995@gmail.com zarrinpoor@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {zarrinpoor, naeme/0000-0002-3002-9512}, Cited-References = {{[}Anonymous], 2008, The Johns Hopkins and red cross red crescent public health guide in emergencies. Ash C, 2022, COMPUT IND ENG, V168, DOI 10.1016/j.cie.2022.108051. Chen W, 2015, IFAC PAPERSONLINE, V48, P180, DOI 10.1016/j.ifacol.2015.06.078. 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Wu T, 2013, COMPUT OPER RES, V40, P1852, DOI 10.1016/j.cor.2013.01.021. Xia S, 2020, SIGNAL TRANSDUCT TAR, V5, DOI 10.1038/s41392-020-0184-0. Zarrinpoor N, 2023, FUZZY OPTIM DECIS MA, V22, P519, DOI 10.1007/s10700-022-09401-3.}, Number-of-Cited-References = {59}, Times-Cited = {4}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {O5F7X}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001326976900001}, DA = {2026-04-14}, } @article{ WOS:000854840700001, Author = {Momenitabar, Mohsen and Ebrahimi, Zhila Dehdari and Arani, Mohammad and Mattson, Jeremy}, Title = {Robust possibilistic programming to design a closed-loop blood supply chain network considering service-level maximization and lateral resupply}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2023}, Volume = {328}, Number = {1, SI}, Pages = {859-901}, Month = {SEP}, Abstract = {Reconfiguring the structure of the supply chain network is one of the most strategic and vital decisions in designing a supply chain network. In this study, a Closed-Loop Blood Supply Chain Network (CLBSCN) considering blood group compatibility, ABO-Rh(D), and blood product shelf life has been studied to determine the best strategic and tactical decisions simultaneously considering lateral resupply/transshipment and service-level maximization. Several vital parameters, including supply and demand, are considered fuzzy numbers to approximate reality due to the nature of the world. Furthermore, two crucial factors include ABO-Rh(D) and blood product shelf life considered, while the concept of lateral resupply governs the interconnections of hospitals' excess blood units. We propose a fuzzy multi-objective Mixed-Integer Non-Linear Programming (MINLP) model to consider two critical objective functions: minimizing the total costs of the network and maximizing the minimum service level to the patients at each Hospital. The fuzzy multi-objective MINLP model is converted to a deterministic multi-objective model using the equivalent auxiliary crisp model to deal with uncertainty. Then, by utilizing two interactive fuzzy solution approaches, the results have been compared based on a real case study to suggest the best solution for the proposed model. Also, we conduct sensitivity analysis on essential parameters such as demand, supply, and capacity to understand how these parameter variations impact two proposed objective functions. Then, the proposed model is tested on a real case study for model validation. The results confirmed that considering the lateral resupply could significantly save the costs of the designed network by a total of \$343,000. Interestingly, maximizing the minimum service level at hospitals increased the service level from 58\% to 68\%.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Momenitabar, M (Corresponding Author), North Dakota State Univ, Coll Business, Dept Transportat Logist \& Finance, Fargo, ND 58105 USA. Momenitabar, Mohsen; Ebrahimi, Zhila Dehdari; Mattson, Jeremy, North Dakota State Univ, Coll Business, Dept Transportat Logist \& Finance, Fargo, ND 58105 USA. Arani, Mohammad, Univ Arkansas, Dept Syst Engn, Little Rock, AR 72204 USA.}, DOI = {10.1007/s10479-022-04930-x}, EarlyAccessDate = {SEP 2022}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Closed-loop blood supply chain network; Multi-objective mix-integer non-linear programming model; Robust possibilistic programming approach; Service-level maximization; Lateral resupply}, Keywords-Plus = {MODEL; OPTIMIZATION; COLLECTION; ALLOCATION; POLICY}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {Mohsen.momenitabar@ndsu.edu Zhila.dehdari@ndsu.edu Mxarani@ualr.edu Jeremy.w.mattson@ndsu.edu}, Affiliations = {North Dakota State University Fargo; University of Arkansas System; University of Arkansas Little Rock; University of Arkansas Fayetteville}, ResearcherID-Numbers = {Momenitabar, Mohsen/AAT-4532-2020 Arani, Mohammad/AAI-3929-2020 Dehdari Ebrahimi, Zhila/AFY-6991-2022 Mattson, Jeremy/AAX-6795-2021}, ORCID-Numbers = {Momenitabar, Mohsen/0000-0003-2568-1781 Arani, Mohammad/0000-0002-1712-067X Dehdari Ebrahimi, Zhila/0000-0001-7256-0881 Mattson, Jeremy/0000-0002-0826-5834}, Cited-References = {Abd El-Wahed WF, 2006, OMEGA-INT J MANAGE S, V34, P158, DOI 10.1016/j.omega.2004.08.006. 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Yaghoubi S, 2020, J AMB INTEL HUM COMP, V11, P3231, DOI 10.1007/s12652-019-01501-0. Zahiri B, 2018, COMPUT IND ENG, V122, P1, DOI 10.1016/j.cie.2018.05.041. Zahiri B, 2017, INT J PROD RES, V55, P2013, DOI 10.1080/00207543.2016.1262563. Zhou YF, 2021, APPL SOFT COMPUT, V106, DOI 10.1016/j.asoc.2021.107364.}, Number-of-Cited-References = {57}, Times-Cited = {18}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {P2ZU6}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000854840700001}, OA = {Green Accepted, Bronze}, DA = {2026-04-14}, } @article{ WOS:000394465700006, Author = {Khalili, Seyed Mohammad and Jolai, Fariborz and Torabi, Seyed Ali}, Title = {Integrated production-distribution planning in two-echelon systems: a resilience view}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2017}, Volume = {55}, Number = {4}, Pages = {1040-1064}, Abstract = {Global supply chains are increasingly exposed to operational and disruption risks that threaten their business continuity. This paper presents a novel two-stage scenario-based mixed stochastic-possibilistic programming model for integrated production and distribution planning problem in a two-echelon supply chain over a midterm horizon under risk. Operational risks are handled by introducing imprecise (i.e. possibilistic) parameters while disruption risks are accounted for through stochastic disruption scenarios. The proposed model accounts for the risk mitigation options and recovery of lost capacities in an integrated manner. In the first stage, the structure of the chain and proactive risk mitigation decisions are determined, while the second stage specifies the recovery plan of lost capacities in addition to production and distribution plans. Considering extra capacities in the production facilities, backup routes for transportation links and pre-positioning of emergency inventory in distribution centres are considered as feasible options to improve the resilience level of the supply chain. We propose a new indicator for optimising the resilience level of the chain based on restoration of lost capacities. For the sake of robustness, the expected worst case of the second stage's objective function is considered by utilising the conditional value at risk (CVaR) measure. The validation and applicability of the proposed model are examined through several numerical experiments.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Jolai, F (Corresponding Author), Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Khalili, Seyed Mohammad; Jolai, Fariborz; Torabi, Seyed Ali, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1080/00207543.2016.1213446}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {production and distribution planning; supply chain resilience; two-stage scenario-based stochastic programming; possibilistic programming; conditional value at risk}, Keywords-Plus = {LOGISTICS NETWORK DESIGN; SUPPLY-CHAIN; FUZZY-SETS; DISRUPTION RISKS; RECOVERY MODEL; TRANSPORTATION; FACILITY; SELECTION; COORDINATION; MANAGEMENT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {fjolai@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Khalili, Seyed Mohammad/ABD-9663-2020 Jolai, Fariborz/B-4406-2012 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Khalili, Seyed Mohammad/0000-0001-9626-8113 Jolai, Fariborz/0000-0003-0824-8513 Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {{[}Anonymous], 2008, P 5 INT ISCRAM C WAS. Azad N, 2014, INT J ADV MANUF TECH, V70, P1757, DOI 10.1007/s00170-013-5404-0. Bhamra R, 2011, INT J PROD RES, V49, P5375, DOI 10.1080/00207543.2011.563826. Birge J.R., 1997, INTRO STOCHASTIC PRO. Blackhurst J, 2005, INT J PROD RES, V43, P4067, DOI 10.1080/00207540500151549. Booty Frank., 2009, Facilities Management Handbook, VFourth. Cao EB, 2013, INT J PROD ECON, V141, P425, DOI 10.1016/j.ijpe.2012.09.009. Chen LC, 2012, TRANSPORT SCI, V46, P109, DOI 10.1287/trsc.1110.0376. Demirtas EA, 2008, OMEGA-INT J MANAGE S, V36, P76, DOI 10.1016/j.omega.2005.11.003. {*}DEP DEF, 2000, MILSTD882D US DEP DE. Díaz-Madroñero M, 2015, COMPUT IND ENG, V88, P518, DOI 10.1016/j.cie.2015.06.010. Esmaeilikia M, 2016, ANN OPER RES, V244, P407, DOI 10.1007/s10479-014-1544-3. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {65}, Times-Cited = {94}, Usage-Count-Last-180-days = {6}, Usage-Count-Since-2013 = {108}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {EL2QY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000394465700006}, DA = {2026-04-14}, } @article{ WOS:001028320700001, Author = {Olfati, Marjan and Paydar, Mohammad Mahdi}, Title = {Towards a responsive-sustainable-resilient tea supply chain network design under uncertainty using big data}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2023}, Volume = {88}, Month = {AUG}, Abstract = {Nowadays, issues such as limited natural resources, environmental problems, social matters, and significance of resilience in agricultural supply chain (ASC) have dragged considerable attention worldwide. In this research, a five-level multi-objective stochastic mixed-integer linear programming model is designed for tea supply chain (TSC) in Iran. The objective functions of the suggested network are minimizing total costs of the supply chain (SC), the total water consumption, and non-resilience measures, and maximizing job opportunities of facilities. Literally, considering uncertainty for SC networks is extremely beneficial due to the existence of some variations in different parameters like demand. As a consequence, a robust possibilistic optimization (RPO) is implemented to manage the uncertainty. Due to the nature of the multi-objective optimization problem, the weightednormalized-extended goal programming (WNEGP) approach is employed to solve the model. In order to credit the model, real data is collected from the tea organization of Iran. It is worth mentioning that parameters are gathered according to three aspects of big data: volume, velocity, and variety. The results validated the functionality of the model regarding planning strategy. In addition, it showed applying more costs on SC triggers an effective sustainable-resilient-responsive network. In terms of managerial insights, this study offers a far-reaching perspective to managers especially in ASC to develop their industries. Finally, some sensitivity analyses are discussed on key parameters such as demand, robustness coefficients, and also the value of the objective functions in various states. It is worth mentioning that sensitivity analyses on different states of the problem show how sustainability and resiliency affect the supply chain efficiency.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Paydar, MM (Corresponding Author), Babol Noshirvani Univ Technol, Dept Ind Engn, Babol, Iran. Olfati, Marjan; Paydar, Mohammad Mahdi, Babol Noshirvani Univ Technol, Dept Ind Engn, Babol, Iran.}, DOI = {10.1016/j.seps.2023.101646}, EarlyAccessDate = {JUN 2023}, Article-Number = {101646}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Tea supply chain; Resiliency; Sustainability; Responsiveness; Big data; Robust possibilistic optimization; Weighted-normalized-extended goal; programming}, Keywords-Plus = {DISRUPTIONS; WASTE}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {paydar@nit.ac.ir}, Affiliations = {Babol Noshirvani University of Technology}, ResearcherID-Numbers = {Olfati, Marjan/GLR-8016-2022 Paydar, Mohammad Mahdi/Y-7856-2019}, ORCID-Numbers = {Olfati, Marjan/0000-0002-6364-8424 Paydar, Mohammad Mahdi/0000-0002-0941-247X}, Cited-References = {Ahranjani PM, 2020, CLEAN TECHNOL ENVIR, V22, P119, DOI 10.1007/s10098-019-01773-2. 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Zahiri B, 2017, TRANSPORT RES E-LOG, V103, P109, DOI 10.1016/j.tre.2017.04.009.}, Number-of-Cited-References = {48}, Times-Cited = {20}, Usage-Count-Last-180-days = {9}, Usage-Count-Since-2013 = {81}, Journal-ISO = {Socio-Econ. Plan. Sci.}, Doc-Delivery-Number = {M2CU2}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001028320700001}, DA = {2026-04-14}, } @article{ WOS:000349979300045, Author = {Li, Ting and Zhang, Weiguo and Xu, Weijun}, Title = {A fuzzy portfolio selection model with background risk}, Journal = {APPLIED MATHEMATICS AND COMPUTATION}, Year = {2015}, Volume = {256}, Pages = {505-513}, Month = {APR 1}, Abstract = {In financial markets, the presence of background risk may affect investors' investments. This article develops a fuzzy portfolio selection model with background risk, based on the definitions of the possibilistic return and possibilistic risk. For the returns of assets obey LR-type possibility distribution, we propose a specific portfolio selection model with background risk. Then, a numerical study is carried out by using the data concerning some stocks. Based on the data, we obtain the efficient frontier of the possibilistic portfolio with background risk, and compare it with the efficient frontier of the portfolio without background risk. Finally, we conclude that the background risk can better reflect the investment risk of the real economy environment which make the investors choose a more suitable portfolio to them. (C) 2015 Elsevier Inc. All rights reserved.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Zhang, WG (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China. Li, Ting, Ningxia Univ, Sch Math \& Comp Sci, Ningxia 750021, Peoples R China. Zhang, Weiguo; Xu, Weijun, S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China.}, DOI = {10.1016/j.amc.2015.01.007}, ISSN = {0096-3003}, EISSN = {1873-5649}, Keywords = {Background risk; Fuzzy number; Possibilistic mean; Possibilistic variance}, Keywords-Plus = {VARIANCE}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {L.ting@nxu.edu.cn wgzhang@scut.edu.cn xuwj@scut.edu.cn}, Affiliations = {Ningxia University; South China University of Technology}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71171086, 71461024]; Fundamental Research Funds for the Central Universities {[}2014ZP0005]; Guangdong Universities Humanities; Social Science Key Research Base Project {[}2012JDXM\_0006]}, Funding-Text = {The authors would like to acknowledge the financial support of National Natural Science Foundation of China (No. 71461024), the Fundamental Research Funds for the Central Universities (No. 2014ZP0005), National Natural Science Foundation of China (No. 71171086), Guangdong Universities Humanities and Social Science Key Research Base Project (No. 2012JDXM\_0006).}, Cited-References = {Alghalith M, 2012, PHYSICA A, V391, P6506, DOI 10.1016/j.physa.2012.07.019. {[}Anonymous], POSSIBILITY THEORY R. {[}Anonymous], 5 WORLD SUMM KNOWL S. Baptista AM, 2008, J BANK FINANC, V32, P977, DOI 10.1016/j.jbankfin.2007.07.009. Cardak BA, 2009, J BANK FINANC, V33, P850, DOI 10.1016/j.jbankfin.2008.09.021. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Dubois D., 1988, POSSIBILITY THEORY. Eeckhoudt L., 2005, Economic and financial decisions under risk. Eichner T, 2012, J MATH ECON, V48, P422, DOI 10.1016/j.jmateco.2012.09.001. Georgescu I, 2012, INT SYMP COMP INTELL, P225, DOI 10.1109/CINTI.2012.6496765. GOLLIER C., 2001, The Economics of Risk and Time. Heaton J, 2000, ECON J, V110, P1, DOI 10.1111/1468-0297.00488. Huang XX, 2006, APPL MATH COMPUT, V177, P500, DOI 10.1016/j.amc.2005.11.027. Jiang CH, 2010, J BANK FINANC, V34, P3055, DOI 10.1016/j.jbankfin.2010.07.013. Markowitz H, 1952, J FINANC, V7, P77, DOI 10.1111/j.1540-6261.1952.tb01525.x. Menoncin F, 2002, INSUR MATH ECON, V31, P249, DOI 10.1016/S0167-6687(02)00154-3. MERTON RC, 1972, J FINANC QUANT ANAL, V7, P1851, DOI 10.2307/2329621. PANG JS, 1980, OPER RES, V28, P754, DOI 10.1287/opre.28.3.754. PEROLD AF, 1984, MANAGE SCI, V30, P1143, DOI 10.1287/mnsc.30.10.1143. Sharpe WilliamF., 1970, PORTFOLIO THEORY CAP. Tsanakas A, 2008, INSUR MATH ECON, V42, P520, DOI 10.1016/j.insmatheco.2007.01.015. Zhang WG, 2007, APPL MATH COMPUT, V189, P1614, DOI 10.1016/j.amc.2006.12.080. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2003, LECT NOTES ARTIF INT, V2639, P398. Zme kalZ., 2005, International Review of Financial Analysis, V14, P263, DOI DOI 10.1016/J.IRFA.2004.06.011.}, Number-of-Cited-References = {26}, Times-Cited = {33}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {46}, Journal-ISO = {Appl. Math. Comput.}, Doc-Delivery-Number = {CB9UR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000349979300045}, DA = {2026-04-14}, } @article{ WOS:A1996UR99300007, Author = {Itoh, T and Ishii, H}, Title = {An approach based on necessity measure to the fuzzy spanning tree problems}, Journal = {JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN}, Year = {1996}, Volume = {39}, Number = {2}, Pages = {247-257}, Month = {JUN}, Abstract = {On the decision problems with defective information, the uncertain elements are often formulated as the random variables (the stochastic programming problems) even if they don't behave themselves stochastically. However, when uncertainty is mainly derived from the lack of amount of information and so on, we think, it is proper to recognize them as a kind of `'fuzziness'' and formulate them as the possibility variables on the fuzzy theory. In this paper, we propose the fuzzy spanning tree problems, in which the edge costs of the graph are possibility variables. At the time of its formulation, we pay attention to the analogy between the random variables and the possibility variables and adopt a model corresponding to the probability maximum one on the chance constrained programming problems for the stochastic programming, that is, the necessity measure maximum model on the modality constrained programming problems for the possibilistic programming. Moreover, in the solution, we propose the efficient algorithm based on the binary search, which fully exploits its problem structure.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {Japanese}, Affiliation = {OSAKA UNIV, SUITA, OSAKA 565, JAPAN.}, DOI = {10.15807/jorsj.39.247}, ISSN = {0453-4514}, EISSN = {1878-6871}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Affiliations = {University of Osaka}, Cited-References = {GEETHA S, 1993, NETWORKS, V23, P675, DOI 10.1002/net.3230230805. GUSFIELD D, 1980, THESIS U CALIF, P58. INUIGUCHI M, 1990, FUZZY SET SYST, V35, P303, DOI 10.1016/0165-0114(90)90004-P. ISHII H, 1981, DISCRETE APPL MATH, V3, P263, DOI 10.1016/0166-218X(81)90004-4. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {5}, Times-Cited = {21}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {J. Oper. Res. Soc. Jpn.}, Doc-Delivery-Number = {UR993}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996UR99300007}, OA = {Bronze}, DA = {2026-04-14}, } @article{ WOS:000280844700004, Author = {Yager, Ronald R.}, Title = {Criteria satisfaction under measure based uncertainty}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2010}, Volume = {9}, Number = {3}, Pages = {307-331}, Month = {SEP}, Abstract = {A fundamental task in decision-making is the determination, in the face of uncertain information, of the satisfaction of some criteria in terms of a scalar value. Our objective here is to help support this task. We first discuss the process of selecting an uncertainty model for our knowledge, here we emphasize the tradeoff between functionality of the representation and its ability to model our knowledge, cointention. We next discuss the process of scalarization, determining a single value to represent some uncertain value. Some features required of operations used for scalarization are introduced. We look at the scalarization procedures used in probability theory, the expected value, and that used in possibility theory. We then turn to a more general framework for the representation of uncertain information based on a set measure.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Yager, RR (Corresponding Author), Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA. Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA.}, DOI = {10.1007/s10700-010-9084-z}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Uncertainty; Decision making; Fuzzy measure}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {yager@panix.com}, Affiliations = {Iona College}, ResearcherID-Numbers = {Yager, Ronald/A-2960-2013}, Funding-Acknowledgement = {ARO MURI {[}W911NF-09-1-0392]; ONR {[}N000141010121]}, Funding-Text = {This research has been supported in part by ARO MURI grant W911NF-09-1-0392 under Dr. J. Lavery and ONR grant N000141010121.}, Cited-References = {ALSINA C, 1983, J MATH ANAL APPL, V93, P15, DOI 10.1016/0022-247X(83)90216-0. {[}Anonymous], 1992, 2 FUZZY WORKSHOP. {[}Anonymous], 2007, L'uomo e antiquato. {[}Anonymous], FUZZY LOGIC SEMANTIC. Beliakov G., 2007, Aggregation functions. 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Yager RR, 2000, IEEE T FUZZY SYST, V8, P453, DOI 10.1109/91.868951. Yager RR, 2002, INT J GEN SYST, V31, P303, DOI 10.1080/03081070290018047. Yager RR, 1999, INT J INTELL SYST, V14, P1239, DOI 10.1002/(SICI)1098-111X(199912)14:12<1239::AID-INT5>3.0.CO;2-G. YAGER RR, 1980, FUZZY SET SYST, V4, P235, DOI 10.1016/0165-0114(80)90013-5. Zadeh LA, 2004, AI MAG, V25, P74. Zadeh LA, 2006, COMPUT STAT DATA AN, V51, P15, DOI 10.1016/j.csda.2006.04.029.}, Number-of-Cited-References = {26}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Optim. Decis. Mak.}, Doc-Delivery-Number = {637UR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000280844700004}, DA = {2026-04-14}, } @article{ WOS:000402481900002, Author = {Li, Yongming}, Title = {Quantitative model checking of linear-time properties based on generalized possibility measures}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2017}, Volume = {320}, Pages = {17-39}, Month = {AUG 1}, Abstract = {Model checking of linear-time properties based on possibility measures was studied in previous work (Li and Li(2013)). However, the linear-time properties considered in the previous work was qualitative and was based on Boolean logic, the linear-time properties containing possibility information (we call it fuzzy linear-time properties here, which is based on fuzzy logic) of system could not be represented and tackled using the previous methods. We shall study quantitative model checking of fuzzy linear-time properties based on generalized possibility measures in the paper. Both the model of the system, as well as the properties the system needs to adhere to, are described using possibility information to identify the uncertainty in the model/properties. The systems are modeled by generalized possibilistic Kripke structures(GPKS, in short), and the properties are described by fuzzy linear-time properties. Concretely, fuzzy linear-time properties about reachability, always reachability, constrain reachability, repeated reachability and persistence in GPKSs are introduced and studied. Fuzzy regular safety properties and fuzzy.-regular properties in GPKSs are introduced, the verification of fuzzy regular safety properties and fuzzy.-regular properties using fuzzy finite automata are thoroughly studied. It has been shown that the verification of fuzzy regular safety properties and fuzzy regular properties in a finite GPKS can be transformed into the verification of (always) reachability properties and repeated reachability (persistence) properties in the product GPKS introduced in this paper. Several examples are given to illustrate the methods presented in the paper. (C) 2017 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Li, YM (Corresponding Author), Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China. Li, Yongming, Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China.}, DOI = {10.1016/j.fss.2017.03.012}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Model checking; Possibility theory; Linear temporal logic; Fuzzy finite automaton; Fuzzy regular language; Generalized possibilistic Kripke structure}, Keywords-Plus = {FUZZY-SETS; FINITE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {liyongm@snnu.edu.cn}, Affiliations = {Shaanxi Normal University}, ResearcherID-Numbers = {李, 永明/F-8379-2016 li, yongming/F-8379-2016}, ORCID-Numbers = {李, 永明/0000-0001-8038-008X }, Funding-Acknowledgement = {National Science Foundation of China {[}11671244, 11271237]; Higher School Doctoral Subject Foundation of Ministry of Education of China {[}20130202110001]}, Funding-Text = {This work is supported by National Science Foundation of China (Grant Nos: 11671244, 11271237) and the Higher School Doctoral Subject Foundation of Ministry of Education of China (Grant No: 20130202110001).}, Cited-References = {Almagor Shaull., 2014, proceedings of TACAS, P424, DOI {[}10.1007/978-3-642-54862-8\_37, DOI 10.1007/978-3-642-54862-8\_37]. {[}Anonymous], THESIS SHAANXI NORMA. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {32}, Times-Cited = {39}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {EW4OX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000402481900002}, DA = {2026-04-14}, } @article{ WOS:000524044600001, Author = {Liu, Zhe and Li, Shurong and Ge, Yulei}, Title = {A quantum computing-based numerical method of mixed-integer optimal control problems under uncertainty for alkali-surfactant-polymer flooding}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2021}, Volume = {53}, Number = {3}, Pages = {531-550}, Month = {MAR 4}, Abstract = {This article presents a numerical method based on quantum computing to solve two unresolved key issues for alkali-surfactant-polymer (ASP) flooding in oil exploitation: uncertainties affecting development planning and a switch control regarding injection oil wells. First, a fuzzy multi-objective mixed-integer optimal control model describing the mechanism of ASP flooding is established. Then, an improved possibilistic programming algorithm is presented to remove fuzziness and transform the model into a deterministic single-objective mixed-integer nonlinear programming (MINLP) model. On this basis, a bi-level quantum computing algorithm including quantum annealing and quantum ant colony algorithm is proposed to solve the MINLP and acquire the optimal mixed-integer control variables. The superiority of the proposed algorithm is verified by testing a number of benchmark examples. Finally, the numerical method based on quantum computing is adopted to solve successfully a mixed-integer optimal control problem for ASP flooding under uncertainty.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Li, SR (Corresponding Author), Beijing Univ Posts \& Telecommun, Automat Sch, Beijing, Peoples R China. Liu, Zhe; Li, Shurong, Beijing Univ Posts \& Telecommun, Automat Sch, Beijing, Peoples R China. Ge, Yulei, China Univ Petr East China, Coll Informat \& Control Engn, Qingdao, Peoples R China.}, DOI = {10.1080/0305215X.2020.1741568}, EarlyAccessDate = {APR 2020}, ISSN = {0305-215X}, EISSN = {1029-0273}, Keywords = {Mixed-integer optimal control problem; ASP flooding; improved possibilistic programming algorithm; quantum annealing; quantum ant colony algorithm}, Keywords-Plus = {OPTIMIZATION; ALGORITHMS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {lishurong@bupt.edu.cn}, Affiliations = {Beijing University of Posts \& Telecommunications; China University of Petroleum}, ResearcherID-Numbers = {Liu, Zhe/GYU-5224-2022 }, ORCID-Numbers = {Liu, Zhe/0000-0001-5108-6375 Ge, Yu-lei/0000-0001-5603-9092}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}61573378]; Natural Science Foundation of Shandong Province {[}ZR2011FM002]; Beijing University of Posts and Telecommunications Excellent PhD Students Foundation {[}CX2019113]}, Funding-Text = {This work is supported by the National Natural Science Foundation of China {[}grant number 61573378]; the Natural Science Foundation of Shandong Province {[}grant number ZR2011FM002]; and the Beijing University of Posts and Telecommunications Excellent PhD Students Foundation {[}grant number CX2019113].}, Cited-References = {Arnab D., 2012, PHYSICS, V80, P1061. 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Li SR, 2019, J PROCESS CONTR, V73, P75, DOI 10.1016/j.jprocont.2018.12.008. Li SR, 2018, CMES-COMP MODEL ENG, V114, P95, DOI 10.3970/cmes.2018.114.095. Lin YC, 2004, COMPUT MATH APPL, V47, P1295, DOI {[}10.1016/S0898-1221(04)90123-X, 10.1016/j.camwa.2004.04.014]. Liu M, 2016, ADV ENG INFORM, V30, P259, DOI 10.1016/j.aei.2016.04.005. Sahoo L, 2014, SWARM EVOL COMPUT, V19, P43, DOI 10.1016/j.swevo.2014.07.002. Syrichas A, 2017, COMPUT OPER RES, V87, P52, DOI 10.1016/j.cor.2017.05.014. Wang JL, 2009, SCI CHINA SER E, V52, P1882, DOI 10.1007/s11431-009-0095-3. Zerpa LE, 2005, J PETROL SCI ENG, V47, P197, DOI 10.1016/j.petrol.2005.03.002. Zhapbasbayev UK, 2018, THERMOPHYS AEROMECH+, V25, P909, DOI 10.1134/S0869864318060112.}, Number-of-Cited-References = {23}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {PY6CO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000524044600001}, DA = {2026-04-14}, } @article{ WOS:000238748900001, Author = {Kikuchi, Shinya and Chakroborty, Partha}, Title = {Place of possibility theory in transportation analysis}, Journal = {TRANSPORTATION RESEARCH PART B-METHODOLOGICAL}, Year = {2006}, Volume = {40}, Number = {8}, Pages = {595-615}, Month = {SEP}, Abstract = {The transportation phenomena, as a manifestation of the complex human, social, economic, and political interactions, are filled with uncertainties. In order for the analysis of transportation to be scientifically credible, uncertainty must be accounted for properly. Traditionally, probability theory has been used as the only paradigm for dealing with uncertainty without much thought being given to its limits of application. In recent years, a systematized framework of uncertainty theory that handles different types of uncertainty has emerged. In this framework, possibility theory offers a useful way of handling the uncertain situations that often arise in transportation analysis, particularly when incomplete data and perception are involved. This paper describes possibility theory for its mathematical structure, and discusses the reasons why its use is justified for analysis of certain transportation problems. It is shown that the use of a particular theoretical framework depends on the type of information available and the nature of the predicate of the proposition. Probability theory is justified when the propensity of occurrence of well-defined events is the issue. Possibility theory, on the other hand, is justified when the information is partially perceived and evidence points to the nested sets. The dual measures of possibility theory, possibility and necessity, evaluate the truth, optimistically and conservatively. This paper advocates the use of a proper analysis framework that is consistent with the type of information. Such an attitude not only enhances the scientific credibility of the field but also allows the analyst to express how much is known and how much is not known honestly. (c) 2005 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kikuchi, S (Corresponding Author), No Virginia Ctr, Dept Civil \& Environm Engn, Virginia Tech, 7054 Haycock Rd, Falls Church, VA 22043 USA. No Virginia Ctr, Dept Civil \& Environm Engn, Virginia Tech, Falls Church, VA 22043 USA. Indian Inst Technol, Dept Civil Engn, Kanpur 208016, Uttar Pradesh, India.}, DOI = {10.1016/j.trb.2005.09.001}, ISSN = {0191-2615}, EISSN = {1879-2367}, Keywords = {uncertainty modeling; possibility theory; probability theory; fuzzy sets theory}, Keywords-Plus = {ANXIETY}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {kikuchi@vt.edu partha@iitk.ac.in}, Affiliations = {Virginia Polytechnic Institute \& State University; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kanpur}, Cited-References = {{[}Anonymous], PERSPECTIVES FUZZY L. Dubois D., 1980, Fuzzy Sets Theory and Systems: Theory and Applications. Kikuchi S, 1998, J TRANSP ENG, V124, P1, DOI 10.1061/(ASCE)0733-947X(1998)124:1(1). 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Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zimmermann H.-J. (Hans-Ju-rgen)., 1996, FUZZY SET THEORY ITS, VThird, DOI {[}DOI 10.1007/978-94-010-0646-0, 10.1007/978-94-015-8702-0]. Zimmermann HJ, 2000, EUR J OPER RES, V122, P190, DOI 10.1016/S0377-2217(99)00228-3.}, Number-of-Cited-References = {25}, Times-Cited = {30}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Transp. Res. Pt. B-Methodol.}, Doc-Delivery-Number = {059RC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000238748900001}, DA = {2026-04-14}, } @article{ WOS:000335170300003, Author = {Bai, Xuejie and Liu, Yankui}, Title = {Semideviations of reduced fuzzy variables: a possibility approach}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2014}, Volume = {13}, Number = {2}, Pages = {173-196}, Month = {JUN}, Abstract = {This paper proposes new methods to reduce the uncertain information embedded in the secondary possibility distribution of a type-2 fuzzy variable. Based on possibility measure, we define the lower value-at-risk (VaR) and upper VaR of a regular fuzzy variable, and develop the VaR-based reduction methods for type-2 fuzzy variables. The proposed VaR-based reduction methods generalize some existing reduction methods by introducing possibility level parameter in distribution functions. For VaR reduced fuzzy variables, we employ Lebesgue-Stieltjes (L-S) integral to define three th semideviations to gauge the risk resulted from asymmetric fuzzy uncertainty. Furthermore, we compute the mean values and semideviations of the VaR reduced fuzzy variables, and derive some useful analytical expressions. The theoretical results obtained in this paper have potential applications in practical risk management and engineering optimization problems.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Liu, YK (Corresponding Author), Hebei Univ, Coll Management, Baoding 071002, Hebei, Peoples R China. Bai, Xuejie; Liu, Yankui, Hebei Univ, Coll Management, Baoding 071002, Hebei, Peoples R China. Bai, Xuejie, Agr Univ Hebei, Coll Sci, Baoding 071001, Hebei, Peoples R China.}, DOI = {10.1007/s10700-013-9175-8}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Type-2 fuzzy variable; Reduction method; Parametric possibility distribution; Semideviation}, Keywords-Plus = {EXPECTED VALUE MODELS; PORTFOLIO SELECTION; DECISION-MAKING; ALGORITHM}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {yliu@hbu.cn}, Affiliations = {Hebei University; Hebei Agricultural University}, ResearcherID-Numbers = {Liu, Yan-Kui/IUN-3017-2023}, ORCID-Numbers = {Bai, Xuejie/0000-0001-5777-3934 Liu, Yan-Kui/0000-0002-3106-6761}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}61374184]; Natural Science Foundation of Hebei Province {[}A2011201007]; Training Foundation of Hebei Province Talent Engineering}, Funding-Text = {The authors wish to thank the Editor and anonymous reviewers, whose valuable comments led to an improved version of this paper. This work was supported by the National Natural Science Foundation of China (No. 61374184), the Natural Science Foundation of Hebei Province (A2011201007), and the Training Foundation of Hebei Province Talent Engineering.}, Cited-References = {Atacak I, 2012, J INTELL MANUF, V23, P1023, DOI 10.1007/s10845-010-0388-1. Chen TY, 2013, FUZZY OPTIM DECIS MA, V12, P323, DOI 10.1007/s10700-013-9158-9. Chen XW, 2013, FUZZY OPTIM DECIS MA, V12, P111, DOI 10.1007/s10700-012-9141-x. Chen Y., 2011, J Uncertain Syst, V5, P227. Huang XX, 2012, FUZZY OPTIM DECIS MA, V11, P451, DOI 10.1007/s10700-012-9125-x. Li X, 2013, APPL MATH MODEL, V37, P2063, DOI 10.1016/j.apm.2012.04.046. Liu BD, 2002, IEEE T FUZZY SYST, V10, P445, DOI 10.1109/TFUZZ.2002.800692. Liu YK, 2013, SOFT COMPUT, V17, P569, DOI 10.1007/s00500-012-0925-2. Liu YK, 2003, INT J UNCERTAIN FUZZ, V11, P195, DOI 10.1142/S0218488503002016. Liu Z, 2012, SOFT COMPUT, V16, P1945, DOI 10.1007/s00500-012-0867-8. 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Mak.}, Doc-Delivery-Number = {AG1JC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000335170300003}, DA = {2026-04-14}, } @article{ WOS:000397974600011, Author = {Zahiri, Behzad and Pishvaee, Mir Saman}, Title = {Blood supply chain network design considering blood group compatibility under uncertainty}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2017}, Volume = {55}, Number = {7}, Pages = {2013-2033}, Abstract = {This paper addresses the design of a blood supply chain (SC) network considering blood group compatibility. To this aim, a bi-objective mathematical programming model is developed which minimises the total cost as well as the maximum unsatisfied demand. Due to uncertain nature of some input parameters, two novel robust possibilistic programming models are proposed based on credibility measure. The data of a real case study are then used to illustrate the applicability and performance of the proposed models as well as validating the proposed robust possibilistic programming approach. The obtained results show the superiority of the developed models and significant cost savings compared to current existed blood SC network.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Pishvaee, MS (Corresponding Author), State Univ New Yourk Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY 14222 USA. Pishvaee, Mir Saman, State Univ New Yourk Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY 14222 USA. Zahiri, Behzad, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1080/00207543.2016.1262563}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {blood supply chain network design; robust possibilistic programming; optimisation; supply chain design; fuzzy methods; mixed integer linear programming}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; LOCATION MODEL; OPTIMIZATION; SYSTEMS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {pishvaee@iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Pishvaee, Mir Saman/H-3450-2018}, ORCID-Numbers = {Pishvaee, Mir Saman/0000-0001-6389-6308}, Cited-References = {Akbari K, 2016, ENERGY, V116, P567, DOI 10.1016/j.energy.2016.09.083. 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Zahiri B, 2014, COMPUT IND ENG, V74, P139, DOI 10.1016/j.cie.2014.05.008. Zhalechian M, 2016, TRANSPORT RES E-LOG, V89, P182, DOI 10.1016/j.tre.2016.02.011. Zhang ZH, 2014, APPL MATH MODEL, V38, P1033, DOI 10.1016/j.apm.2013.07.028. Zhou DM, 2011, M\&SOM-MANUF SERV OP, V13, P420, DOI 10.1287/msom.1110.0334. Zhu HP, 2009, 2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL I, PROCEEDINGS, P455, DOI 10.1109/AICI.2009.204.}, Number-of-Cited-References = {49}, Times-Cited = {152}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {68}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {EQ3LS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000397974600011}, DA = {2026-04-14}, } @article{ WOS:000325388000016, Author = {Sirbiladze, Gia and Khutsishvili, Irina and Ghvaberidze, Bezhan}, Title = {Multistage decision-making fuzzy methodology for optimal investments based on experts' evaluations}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2014}, Volume = {232}, Number = {1}, Pages = {169-177}, Month = {JAN 1}, Abstract = {A new methodology of making a decision on an optimal investment in several projects is proposed. The methodology is based on experts' evaluations and consists of three stages. In the first stage, Kaufmann's expertons method is used to reduce a possibly large number of applicants for credit. Using the combined expert data, the credit risk level is determined for each project. Only the projects with low risks are selected. In the second stage, the model of refined decisions is constructed using the new modification of the previously proposed possibilistic discrimination analysis method (Sirbiladze, Khutsisvili, \& Dvalishvili, 2010). This stage is based on expert knowledge and experience. The projects selected in the first stage are compared in order to identify high-quality ones among them. The possibility levels of experts' preferences are calculated and the projects are ranked. Finally, the third stage deals with the bicriteria discrete optimization problem whose solution makes it possible to arrange the most advantageous investment in several projects simultaneously. The decision on funding the selected projects is made and an optimal distribution of the allocated investment amount among them is provided. The efficiency of the proposed methodology is illustrated by an example. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Khutsishvili, I (Corresponding Author), Iv Javakhishvili Tbilisi State Univ, Fac Exact \& Nat Sci, Dept Comp Sci, Univ St 13, GE-0186 Tbilisi, Georgia. Sirbiladze, Gia; Khutsishvili, Irina; Ghvaberidze, Bezhan, Iv Javakhishvili Tbilisi State Univ, Fac Exact \& Nat Sci, Dept Comp Sci, GE-0186 Tbilisi, Georgia.}, DOI = {10.1016/j.ejor.2013.06.035}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Risk analysis; Optimal investment; Experton; Discrimination measure; Bicriteria discrete optimization problem}, Keywords-Plus = {MODEL}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {irina.khutsishvili@tsu.ge}, Affiliations = {Ivane Javakhishvili Tbilisi State University}, Cited-References = {ALIEV AR, 2004, STUDIES FUZZINESS SO, V158. {[}Anonymous], 2011, OPERATIONS RES INTRO. {[}Anonymous], FUZZY OPTIMIZATION D. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. Chen SH, 2007, INFORM SCIENCES, V177, P1153, DOI 10.1016/j.ins.2006.08.001. Dubois D., 1988, POSSIBILITY THEORY. 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Sirbiladze G, 2009, ELE COM ENG, P297. Sirbiladze G, 2009, INFORM SCIENCES, V179, P2022, DOI 10.1016/j.ins.2009.02.004. Uyemura D.G., 1993, Financial Risk Management in Banking. Wang JM, 2012, ANN OPER RES, V197, P109, DOI 10.1007/s10479-010-0734-x. Wu D, 2010, J OPER RES SOC, V61, P179, DOI 10.1057/jors.2008.144. Wu DD, 2010, EUR J OPER RES, V200, P774, DOI 10.1016/j.ejor.2009.01.026. Yager R. R., 2002, Fuzzy Optimization and Decision Making, V1, P13, DOI 10.1023/A:1013715523644. Yager RR, 2007, FUZZY OPTIM DECIS MA, V6, P199, DOI 10.1007/s10700-007-9008-8. Yu L, 2009, EUR J OPER RES, V195, P942, DOI 10.1016/j.ejor.2007.11.025.}, Number-of-Cited-References = {43}, Times-Cited = {31}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {63}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {231BM}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000325388000016}, DA = {2026-04-14}, } @article{ WOS:000239698200001, Author = {Matia, Fernando and Jimenez, Agustin and Al-Hadithi, Basil M. and Rodriguez-Losada, Diego and Galan, Ramon}, Title = {The fuzzy Kalman filter: State estimation using possibilistic techniques}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {16}, Pages = {2145-2170}, Month = {AUG 16}, Abstract = {A new method to implement fuzzy Kalman filters is introduced. The combination of possibilistic techniques and the extended Kalman filter has special application in fields where inaccurate information is involved. The novelty of this article comes from the fact that by using possibility distributions, instead of Gaussian distributions, a fuzzy description of the expected state and observation is sufficient to obtain a good estimation. Some characteristics of this approach are that uncertainty does not need to be symmetric, and that a wide region of possible values for the expectations is allowed. To implement the algorithm, this approach also contributes a method to propagate uncertainty through the process model and the observation model, based on trapezoidal possibility distributions. Finally, several examples of a real mobile robot moving through a localization process, while using qualitative landmarks, are shown. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Matía, F (Corresponding Author), Univ Politecn Madrid, Intelligent Control Grp, E-28040 Madrid, Spain. Univ Politecn Madrid, Intelligent Control Grp, E-28040 Madrid, Spain. Univ Alfonso X El Sabio, Madrid, Spain.}, DOI = {10.1016/j.fss.2006.05.003}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {state estimation; extended Kalman filter; fuzzy control; possibility distributions; localization; robotics}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {fernando.matia@upm.es}, Affiliations = {Universidad Politecnica de Madrid; Universidad Alfonso X el Sabio (UAX)}, ResearcherID-Numbers = {AL-HADITHI, BASIL MOHAMMED/P-8195-2017 Matia, Fernando/AAW-9219-2020 Avello, Agustín/L-7315-2017}, ORCID-Numbers = {AL-HADITHI, BASIL MOHAMMED/0000-0002-8786-5511 Matia, Fernando/0000-0002-2198-1448 }, Cited-References = {Carlsson C, 2005, FUZZY SET SYST, V155, P425, DOI 10.1016/j.fss.2005.04.014. CARRASCO R, 2005, 16 IFAC WORLD C PRAG. Chen GR, 1997, IEEE T AERO ELEC SYS, V33, P250, DOI 10.1109/7.570759. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {27}, Times-Cited = {42}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {072UJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000239698200001}, DA = {2026-04-14}, } @article{ WOS:000299978400004, Author = {Carlos Nieves, Juan and Confalonieri, Roberto}, Title = {A Possibilistic Argumentation Decision Making Framework with Default Reasoning}, Journal = {FUNDAMENTA INFORMATICAE}, Year = {2011}, Volume = {113}, Number = {1, SI}, Pages = {41-61}, Abstract = {In this paper, we introduce a possibilistic argumentation-based decision making framework which is able to capture uncertain information and exceptions/defaults. In particular, we define the concept of a possibilistic decision making framework which is based on a possibilistic default theory, a set of decisions and a set of prioritized goals. This set of goals captures user preferences related to the achievement of a particular state in a decision making problem. By considering the inference of the possibilistic well-founded semantics, the concept of argument with respect to a decision is defined. This argument captures the feasibility of reaching a goal by applying a decision in a given context. The inference in the argumentation decision making framework is based on basic argumentation semantics. Since some basic argumentation semantics can infer more than one possible scenario of a possibilistic decision making problem, we define some criteria for selecting potential solutions of the problem.}, Publisher = {IOS PRESS}, Address = {NIEUWE HEMWEG 6B, 1013 BG AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Nieves, JC (Corresponding Author), Univ Politecn Cataluna, Dept Llenguatges \& Sistemes Informat, Edifici K2M,Despatx 201,C Jordi Girona Salgado 1-, E-08034 Barcelona, Spain. Carlos Nieves, Juan; Confalonieri, Roberto, Univ Politecn Cataluna, Dept Llenguatges \& Sistemes Informat, E-08034 Barcelona, Spain.}, DOI = {10.3233/FI-2011-598}, ISSN = {0169-2968}, EISSN = {1875-8681}, Keywords = {Argumentation Theory; Well-Founded Semantics; Decision Making}, Keywords-Plus = {LOGIC; SCHEMA}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {jcnieves@lsi.upc.edu confalonieri@lsi.upc.edu}, Affiliations = {Universitat Politecnica de Catalunya}, ResearcherID-Numbers = {Confalonieri, Roberto/AAB-4359-2021 Nieves, Juan/G-1762-2012}, ORCID-Numbers = {Confalonieri, Roberto/0000-0003-0936-2123 }, Cited-References = {Alsinet T, 2008, INT J APPROX REASON, V48, P711, DOI 10.1016/j.ijar.2007.07.004. Alsinet T, 2008, FUZZY SET SYST, V159, P1208, DOI 10.1016/j.fss.2007.12.013. Amgoud L, 2002, J AUTOM REASONING, V29, P125, DOI 10.1023/A:1021603608656. 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Inform.}, Doc-Delivery-Number = {888BI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000299978400004}, DA = {2026-04-14}, } @article{ WOS:000612089400001, Author = {Cunico, Maria Laura and Vecchietti, Aldo}, Title = {A possibilistic model for production planning with uncertain demand}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2020}, Volume = {14}, Number = {6}, Pages = {743-762}, Abstract = {This article proposes a possibilistic model of production planning problem of a manufacturing company using a fuzzy representation of uncertainties in demand. An extension of chance constrained to fuzzy environments, and triangular numbers are employed to represent the variability in customers' orders. The operators required to convert the fuzzy model into an equivalent robust crisp one (RCM) are presented in the article. Moreover, the confidence levels of chance constraints are set as variables so that they are determined by the model, reducing the subjectivity in the selection of their values. The production planning problem is solved as a case study, to show the performance of the model. The results obtained are compared to two different alternative models: a deterministic one (DM) and a fuzzy approach (FeM).}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Vecchietti, A (Corresponding Author), INGAR CONICET UTN, S3002GJC, RA-3657 Avellaneda, Santa Fe, Argentina. Cunico, Maria Laura; Vecchietti, Aldo, INGAR CONICET UTN, S3002GJC, RA-3657 Avellaneda, Santa Fe, Argentina.}, DOI = {10.1504/EJIE.2020.112480}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {uncertain demands; imprecise parameters; fuzzy variability; production planning; possibilistic approach; flexibility; robust solution; manufacturing companies; triangular numbers; chance constrained}, Keywords-Plus = {LOT-SIZING PROBLEM; LINEAR-PROGRAMMING APPROACH; CHAIN NETWORK DESIGN; SUPPLIER SELECTION; FUZZY; OPTIMIZATION; MULTIPRODUCT; ROBUST}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {laura-cunico@santafe-conicet.gov.ar aldovec@santafe-conicet.gov.ar}, Affiliations = {Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)}, Cited-References = {Ackoff R. L., 1977, EUR J OPER RES, V7, P1, DOI DOI 10.1016/S0377-2217(77)81003-5. 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Eng.}, Doc-Delivery-Number = {PY5MZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000612089400001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000399354200009, Author = {Ma, Xiaolin and Ma, Chi and Wan, Zhifang and Wang, Kewei}, Title = {A fuzzy chance-constrained programming model with type 1 and type 2 fuzzy sets for solid waste management under uncertainty}, Journal = {ENGINEERING OPTIMIZATION}, Year = {2017}, Volume = {49}, Number = {6}, Pages = {1040-1056}, Month = {JUN}, Abstract = {Effective management of municipal solid waste (MSW) is critical for urban planning and development. This study aims to develop an integrated type 1 and type 2 fuzzy sets chance-constrained programming (ITFCCP) model for tackling regional MSW management problem under a fuzzy environment, where waste generation amounts are supposed to be type 2 fuzzy variables and treated capacities of facilities are assumed to be type 1 fuzzy variables. The evaluation and expression of uncertainty overcome the drawbacks in describing fuzzy possibility distributions as oversimplified forms. The fuzzy constraints are converted to their crisp equivalents through chance-constrained programming under the same or different confidence levels. Regional waste management of the City of Dalian, China, was used as a case study for demonstration. The solutions under various confidence levels reflect the trade-off between system economy and reliability. It is concluded that the ITFCCP model is capable of helping decision makers to generate reasonable waste-allocation alternatives under uncertainties.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Wan, ZF (Corresponding Author), Northeast Forestry Univ, Coll Econ \& Management, Harbin, Peoples R China. Ma, Xiaolin, Univ Sci \& Technol Liaoning, Sch Business Adm, Anshan, Peoples R China. Ma, Chi; Wang, Kewei, Univ Sci \& Technol Liaoning, Coll Software, Anshan, Peoples R China. Wan, Zhifang, Northeast Forestry Univ, Coll Econ \& Management, Harbin, Peoples R China.}, DOI = {10.1080/0305215X.2016.1230206}, ISSN = {0305-215X}, EISSN = {1029-0273}, Keywords = {Type 2 fuzzy variable; chance-constrained programming; solid waste management; Dalian}, Keywords-Plus = {POSSIBILISTIC OPTIMIZATION FRAMEWORK; MEMBERSHIP FUNCTIONS; DESIGN}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science}, Author-Email = {zhifang\_wan0451@sina.com}, Affiliations = {University of Science \& Technology Liaoning; University of Science \& Technology Liaoning; Northeast Forestry University - China}, ResearcherID-Numbers = {Wang, Kewei/L-4460-2017}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}51208196]}, Funding-Text = {This research was supported by the National Natural Science Foundation of China {[}grant number 51208196].}, Cited-References = {{[}Anonymous], 2016, 2016 IEEE WIRELESS C. 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Yeomans JS, 2003, J ENVIRON INFORM, V2, P11, DOI 10.3808/jei.200300014. ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8].}, Number-of-Cited-References = {30}, Times-Cited = {24}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {45}, Journal-ISO = {Eng. Optimiz.}, Doc-Delivery-Number = {ES2JK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000399354200009}, DA = {2026-04-14}, } @article{ WOS:000330953300003, Author = {Bronevich, A. G. and Rozenberg, I. N.}, Title = {Ranking probability measures by inclusion indices in the case of unknown utility function}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2014}, Volume = {13}, Number = {1}, Pages = {49-71}, Month = {MAR}, Abstract = {This paper gives a way of analyzing decisions in the case of unknown utility function, or more precisely, when we know only a linear order on an income space. It is shown that in this situation, decisions and corresponding probability measures are partially ordered, and this order is identical to the inclusion relation of comonotone fuzzy sets. It enables us to use inclusion indices of fuzzy sets to analyze the comparability of decisions. To do this, we introduce an inclusion index having properties, which are close to ones of the classical expected utility.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Bronevich, AG (Corresponding Author), Natl Res Univ, Higher Sch Econ, Pokrovskiy Blvd 11, Moscow 109028, Russia. Bronevich, A. G., Natl Res Univ, Higher Sch Econ, Moscow 109028, Russia. Rozenberg, I. N., JSC Res Dev \& Planning Inst Railway Informat Tech, Moscow 107996, Russia.}, DOI = {10.1007/s10700-013-9169-6}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Decision-making under uncertainty; Utility; Possibility theory; Inclusion index; Comonotone fuzzy sets; Choquet integral}, Keywords-Plus = {DECISION}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {brone@mail.ru}, Affiliations = {HSE University (National Research University Higher School of Economics)}, ResearcherID-Numbers = {Bronevich, Aney/K-8315-2015 Rozenberg, Igor/AAD-7632-2019}, ORCID-Numbers = {Bronevich, Aney/0000-0003-4932-3348 Rozenberg, Igor/0000-0001-9589-6783}, Cited-References = {Aiche Farid, 2010, Computational Intelligence for Knowledge-Based Systems Design. 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Zarei R, 2012, FUZZY OPTIM DECIS MA, V11, P209, DOI 10.1007/s10700-012-9121-1.}, Number-of-Cited-References = {27}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Fuzzy Optim. Decis. Mak.}, Doc-Delivery-Number = {AA2VW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000330953300003}, DA = {2026-04-14}, } @article{ WOS:000592110900001, Author = {Namdar, Jafar and Torabi, S. Ali and Sahebjamnia, Navid and Nilkanth Pradhan, Ninad}, Title = {Business continuity-inspired resilient supply chain network design}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2021}, Volume = {59}, Number = {5}, Pages = {1331-1367}, Month = {MAR 4}, Abstract = {Supply chains are prone to several operational and disruption risks. In order to design a resilient supply chain network capable of responding to such potential risks suitably, this paper proposes a novel framework for the business continuity-inspired resilient supply chain network design (BCRSCND) problem, which includes three steps. First, four resilience dimensions including Anticipation, Preparation, Robustness, and Recovery are considered to quantify the resilience score of each facility using a multi-criteria decision-making technique and considering a comprehensive set of resilience strategies. In the second step, the critical processes and their business continuity metrics (which are vital for supply chain continuity), are identified. The outputs of the first two steps provide the inputs of a novel two-stage mixed possibilistic-stochastic programing (TSMPSP) model. The model aims to design a multi-echelon, multi-product resilient supply chain network under both operational and disruption risks. The proposed TSMPSP model allows decision makers to incorporate their risk attitudes into the design process. After converting the original TSMPSP model into the crisp counterpart, several sensitivity analyses are conducted on different features of hypothetical disruptions (i.e. their severity, likelihood and location) and DM's risk attitudes from which useful managerial insights are provided.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Namdar, Jafar, Univ Iowa, Tippie Coll Business, Dept Business Analyt, Iowa City, IA USA. Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Sahebjamnia, Navid, Univ Sci \& Technol Mazandaran, Dept Ind Engn, Behshahr, Iran. Nilkanth Pradhan, Ninad, Univ Tennessee, Knoxville, TN USA.}, DOI = {10.1080/00207543.2020.1798033}, EarlyAccessDate = {NOV 2020}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {Resilience management; supply chain design; business continuity management; two-stage stochastic programming; possibilistic programming}, Keywords-Plus = {DISRUPTION MITIGATION; ASSESSMENT FRAMEWORK; PROGRAMMING-MODEL; ORDER ALLOCATION; LOGISTICS; MANAGEMENT; ROBUST; RISK; SELECTION; RECOVERY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {satorabi@ut.ac.ir}, Affiliations = {University of Iowa; University of Tehran; University of Science \& Technology of Mazandaran; University of Tennessee System; University of Tennessee Knoxville}, ResearcherID-Numbers = {Sahebjamnia, Navid/HGD-6014-2022 Torabi, S. 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Zsidisin GA, 2005, INT J PROD RES, V43, P3401, DOI {[}10.1080/00207540500095613, 10.1080/0020754000095613].}, Number-of-Cited-References = {135}, Times-Cited = {79}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {123}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {QS6MI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000592110900001}, DA = {2026-04-14}, } @article{ WOS:000383059600001, Author = {Shattuck, Mark and Wagner, Carl}, Title = {Peter Fishburn's analysis of ambiguity}, Journal = {THEORY AND DECISION}, Year = {2016}, Volume = {81}, Number = {2}, Pages = {153-165}, Month = {AUG}, Abstract = {In ordinary discourse the term ambiguity typically refers to vagueness or imprecision in a natural language. Among decision theorists, however, this term usually refers to imprecision in an individual's probabilistic judgments, in the sense that the available evidence is consistent with more than one probability distribution over possible states of the world. Avoiding a prior commitment to either of these interpretations, Fishburn has explored ambiguity as a primitive concept, in terms of what he calls an ambiguity measure a on the power set of a finite set , characterized by five axioms. We prove, in purely set-theoretic terms, that if is a so-called necessity measure on and is its associated possibility measure, then is an ambiguity measure. When is construed as a set of possible exemplars of a vague predicate , then and may be regarded as arising from a fuzzy membership function f on , where designates the degree to which is applicable to . In this case a(A) represents the degree to which the partition differentiates members of with respect to the predicate . When is construed as a set of possible states of the world, a necessity measure may be regarded as a very special type of lower probability known as a consonant belief function, and a possibility measure as its associated upper probability, whence a(A) represents the degree of imprecision in the pair with respect to the event A. Fishburn's axioms are thus consistent with an interpretation of ambiguity as linguistic vagueness, as well as (a very special sort of) probabilistic imprecision.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wagner, C (Corresponding Author), Univ Tennessee, Dept Math, Knoxville, TN 37996 USA. 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Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427.}, Number-of-Cited-References = {14}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Theory Decis.}, Doc-Delivery-Number = {DV6PR}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000383059600001}, DA = {2026-04-14}, } @article{ WOS:000184767200010, Author = {Yoshida, Y}, Title = {A discrete-time model of American put option in an uncertain environment}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2003}, Volume = {151}, Number = {1}, Pages = {153-166}, Month = {NOV 16}, Abstract = {A discrete-time mathematical model for American put option with uncertainty is presented, and the randomness and fuzziness are evaluated by both probabilistic expectation and fuzzy expectation defined by a possibility measure from the viewpoint of fuzzy expectation, taking account of decision-maker's subjective judgment. An optimality equation for the optimal stopping problem in a fuzzy stochastic process is derived and an optimal exercise time is given for the American put option. It is shown that the optimal fuzzy price is a solution of the optimality equation under a reasonable assumption. The permissible range of the writer's (seller's) optimal expected price in the American put option is presented, and the meaning and properties of the optimal expected prices are discussed in numerical examples. In a numerical example, the discrete-time approximation model is discussed for the continuous-time model. (C) 2002 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yoshida, Y (Corresponding Author), Univ Kitakyushu, Fac Econ \& Busines Adm, 4-2-1 Kitagata, Kitakyushu, Fukuoka 8028577, Japan. Univ Kitakyushu, Fac Econ \& Busines Adm, Kitakyushu, Fukuoka 8028577, Japan.}, DOI = {10.1016/S0377-2217(02)00591-X}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {uncertainty modeling; American put option; valuation of price; optimal stopping; fuzzy stochastic process; fuzzy expectation}, Keywords-Plus = {FUZZY; REWARD}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {yoshida@kitakyu-u.ac.jp}, Affiliations = {University of Kitakyushu}, Cited-References = {{[}Anonymous], 2014, THESIS I TECHNOLOGY. {[}Anonymous], 1999, INTRO MATH FINANCE. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BLUMENTHAL R.M., 1968, MARKOV PROCESSES POT. COX JC, 1979, J FINANC ECON, V7, P229, DOI 10.1016/0304-405X(79)90015-1. Elliot R.J., 1999, MATH FINANCIAL MARKE. Klir G., 1995, Fuzzy sets and fuzzy logic, V4. KURANO M, 1992, FUZZY SET SYST, V51, P83, DOI 10.1016/0165-0114(92)90078-I. Kurano M, 1996, EUR J OPER RES, V92, P649, DOI 10.1016/0377-2217(95)00140-9. Merton R.C., 1990, CONTINUOUS TIME FINA. Neveu J., 1975, Discrete-parameter martingales. Pliska StanleyR., 1997, INTRO MATH FINANCE D, Vfirst. PURI ML, 1986, J MATH ANAL APPL, V114, P409, DOI 10.1016/0022-247X(86)90093-4. WANG GY, 1992, FUZZY SET SYST, V51, P161, DOI 10.1016/0165-0114(92)90189-B. Yoshida Y, 2000, J MATH ANAL APPL, V246, P135, DOI 10.1006/jmaa.2000.6771. Yoshida Y, 1998, INT SER INTELL TECHN, P313. Yoshida Y, 1996, COMPUT MATH APPL, V32, P17, DOI 10.1016/S0898-1221(96)00183-6. Yoshida Y, 1998, INFORM SCIENCES, V110, P103, DOI 10.1016/S0020-0255(97)10079-2. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {19}, Times-Cited = {41}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {711XW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000184767200010}, DA = {2026-04-14}, } @article{ WOS:000242302200013, Author = {Kasperski, Adam and Zielinski, Pawel}, Title = {On combinatorial optimization problems on matroids with uncertain weights}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2007}, Volume = {177}, Number = {2}, Pages = {851-864}, Month = {MAR 1}, Abstract = {In this paper the combinatorial optimization problem on weighted matroid is considered. It is assumed that the weights in the problem are ill-known and they are modeled as fuzzy intervals. The optimality of solutions and the optimality of elements are characterized. This characterization is performed in the setting of possibility theory. A method of choosing a solution under uncertainty is also proposed. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zielinski, P (Corresponding Author), Wroclaw Univ Technol, Inst Math \& Comp Sci, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland. Wroclaw Univ Technol, Inst Math \& Comp Sci, PL-50370 Wroclaw, Poland. Wroclaw Univ Technol, Inst Ind Engn \& Management, PL-50370 Wroclaw, Poland.}, DOI = {10.1016/j.ejor.2005.12.033}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {matroid; interval; fuzzy interval; possibility theory; combinatorial optimization}, Keywords-Plus = {NETWORK; CONSTRAINTS; COMPLEXITY}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {adam.kasperski@pwr.wroc.pl pziel@im.pwr.wroc.pl}, Affiliations = {Wroclaw University of Science \& Technology; Wroclaw University of Science \& Technology}, ResearcherID-Numbers = {Zielinski, Pawel/H-2463-2011 Kasperski, Adam/AAM-9099-2020}, ORCID-Numbers = {Zielinski, Pawel/0000-0002-1466-2887 Kasperski, Adam/0000-0003-1956-1812}, Cited-References = {Ahuja R.K., 1993, NETWORK FLOWS THEORY, DOI DOI 10.5555/137406. ARON I, 2002, P 18 C UNC ART INT E. 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Robust Discrete Optimization and its Applications. Okada S, 2004, FUZZY SET SYST, V142, P335, DOI 10.1016/S0165-0114(03)00225-2. Oxley JamesG., 1992, Matroid theory. Papadimitriou C.H., 1998, Combinatorial optimization: algorithms and complexity. SOTSKOV YN, 1995, DISCRETE APPL MATH, V58, P169, DOI 10.1016/0166-218X(93)E0126-J. Whitney H, 1935, AM J MATH, V57, P509, DOI 10.2307/2371182. Yaman H, 2001, OPER RES LETT, V29, P31, DOI 10.1016/S0167-6377(01)00078-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {24}, Times-Cited = {28}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {109IU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000242302200013}, DA = {2026-04-14}, } @article{ WOS:000755898500001, Author = {Shahrabi, Fatemeh and Tavakkoli-Moghaddam, Reza and Triki, Chefi and Pahlevani, Mahsa and Rahimi, Yaser}, Title = {Modelling and solving the bi-objective production-transportation problem with time windows and social sustainability}, Journal = {IMA JOURNAL OF MANAGEMENT MATHEMATICS}, Year = {2022}, Volume = {33}, Number = {4}, Pages = {637-661}, Month = {JUL 22}, Abstract = {We model and solve the production routing problem (PRP) with time windows, product deterioration and split delivery. A bi-objective PRP model for a single perishable product, which is subject to deterioration, is presented. The two objectives represent the economic and social aspects of sustainability, whereas the environmental impact is enforced by incorporating ad-hoc constraints. The economic dimension of sustainability consists of minimizing the costs related to the production, setup, holding, transportation and lateness penalty. The social responsibilities are modelled through maximizing the total freshness of the delivered products at all nodes over the planning horizon. The outcomes of our formulation are represented by the lot sizes, and the amounts of product to be delivered, as well as the routing at each planning period. To solve the resulting problem, we develop an interval robust possibilistic approach, and we carry out an experimental study and a sensitivity analysis. Finally, we further validate our optimization model and solution method using a real-life case of a food factory producing a product that is subject to perishability and deterioration.}, Publisher = {OXFORD UNIV PRESS}, Address = {GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Triki, C (Corresponding Author), Hamad bin Khalifa Univ, Coll Sci \& Engn, Div Engn Management \& Decis Sci, Doha, Qatar. Triki, C (Corresponding Author), Univ Salento, Dept Engn Innovat, Lecce, Italy. Shahrabi, Fatemeh; Tavakkoli-Moghaddam, Reza; Pahlevani, Mahsa; Rahimi, Yaser, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Triki, Chefi, Hamad bin Khalifa Univ, Coll Sci \& Engn, Div Engn Management \& Decis Sci, Doha, Qatar. Triki, Chefi, Univ Salento, Dept Engn Innovat, Lecce, Italy.}, DOI = {10.1093/imaman/dpab008}, EarlyAccessDate = {MAY 2021}, ISSN = {1471-678X}, EISSN = {1471-6798}, Keywords = {production-transportation planning; time windows; environmental and social responsibility; robust possibilistic optimization}, Keywords-Plus = {VEHICLE-ROUTING PROBLEM; SUPPLY CHAIN NETWORK; DESIGN; DELIVERY; UNCERTAINTY; PERISHABILITY; MANAGEMENT; LOGISTICS; IMPACT; FUTURE}, Research-Areas = {Business \& Economics; Operations Research \& Management Science; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Management; Operations Research \& Management Science; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {chefi.triki@unisalento.it}, Affiliations = {University of Tehran; Qatar Foundation (QF); Hamad Bin Khalifa University-Qatar; University of Salento}, ResearcherID-Numbers = {Rahimi, Yaser/X-3781-2018 Tavakkoli-Moghaddam, Reza/P-1948-2015}, ORCID-Numbers = {Rahimi, Yaser/0000-0002-0292-9695 }, Cited-References = {Adulyasak Y, 2014, INFORMS J COMPUT, V26, P103, DOI 10.1287/ijoc.2013.0550. 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Zhalechian M, 2016, TRANSPORT RES E-LOG, V89, P182, DOI 10.1016/j.tre.2016.02.011.}, Number-of-Cited-References = {61}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {22}, Journal-ISO = {IMA J. Manag. Math.}, Doc-Delivery-Number = {5E3GC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000755898500001}, DA = {2026-04-14}, } @article{ WOS:001543710100001, Author = {Zhao, Peng-yun and Ji, Shou-feng and Ji, Yuan-yuan}, Title = {Ensuring eco-resilience in Physical Internet-enabled production routing problem under ripple effect: a scenario-based robust possibilistic flexible programming approach}, Journal = {INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH}, Year = {2025}, Month = {2025 AUG 5}, Abstract = {Resilience and eco-friendliness have emerged as two pivotal objectives for modern supply chains facing increasing disruptions and sustainability demands. The Physical Internet (PI), characterized by interconnectivity, resource sharing, and adaptability, represents a transformative approach to enhancing supply chain flexibility while mitigating environmental impacts. This study develops a two-stage stochastic mixed-integer optimization model to design a PI-enabled resilient production-routing system under the ripple effect. Furthermore, the model evaluates the influence of four distinct carbon policies, capturing the trade-offs between resilience and eco-friendliness. To address hybrid uncertainties arising from parameters, objectives, and constraints, this study proposes a scenario-based robust possibilistic flexible programming approach. The applicability and effectiveness of the proposed model and solution approach are validated through a case study. The results demonstrate that the PI significantly enhances both resilience and environmental sustainability by optimizing vehicle utilization, a benefit that cannot be realized in traditional noncollaborative or collaborative supply chains. Moreover, the analysis reveals that as policymakers adopt more conservative approaches, both total costs and carbon emissions increase simultaneously. Furthermore, higher carbon prices and lower carbon emission caps do not always lead to lower carbon emissions.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article; Early Access}, Language = {English}, Affiliation = {Zhao, PY (Corresponding Author), Northeastern Univ, Sch Business Adm, Dept Operat \& Logist Management, Shenyang, Peoples R China. Zhao, Peng-yun; Ji, Shou-feng; Ji, Yuan-yuan, Northeastern Univ, Sch Business Adm, Dept Operat \& Logist Management, Shenyang, Peoples R China.}, DOI = {10.1111/itor.70075}, EarlyAccessDate = {AUG 2025}, ISSN = {0969-6016}, EISSN = {1475-3995}, Keywords = {Physical Internet; Eco-resilience; Carbon policies; Scenario-based robust possibilistic flexible programming}, Keywords-Plus = {MODEL}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {1810435@stu.neu.edu.cn sfji@mail.neu.edu.cn yyji\_neu@163.com}, Affiliations = {Northeastern University - China}, ResearcherID-Numbers = {Zhao, Pengyun/ODL-0309-2025}, Funding-Acknowledgement = {Liaoning Philosophy and Social Science Planning Fund Project; Humanities and Social Sciences Research Planning Fund Project {[}24YJA630033]; National Natural Science Foundation of China Project {[}71971049]; Major Project of Liaoning Provincial Social Science Planning Fund {[}L23ZG038]; Liaoning Economic and Social Development Project {[}2022slybkt-029]; Liaoning Provincial Department of Education University Basic Research Project {[}LJKMR20220343]; {[}L16BGL017]}, Funding-Text = {This study was supported by the 2024 Humanities and Social Sciences Research Planning Fund Project (No. 24YJA630033), Liaoning Philosophy and Social Science Planning Fund Project (No. L16BGL017), National Natural Science Foundation of China Project (No. 71971049), Major Project of Liaoning Provincial Social Science Planning Fund (No. L23ZG038), Liaoning Economic and Social Development Project (Project Approval Number: 2022slybkt-029), and Liaoning Provincial Department of Education University Basic Research Project (No. LJKMR20220343).}, Cited-References = {Absi N, 2015, TRANSPORT SCI, V49, P784, DOI 10.1287/trsc.2014.0523. 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Yang YY, 2017, INT J PROD RES, V55, P3970, DOI 10.1080/00207543.2016.1223379. Yang YX, 2024, INT T OPER RES, V31, P2734, DOI 10.1111/itor.13242. Yimaz ÖF, 2021, J CLEAN PROD, V282, DOI 10.1016/j.jclepro.2020.124548. Yu H, 2020, J CLEAN PROD, V266, DOI 10.1016/j.jclepro.2020.121702. Zhang YQ, 2018, ANN OPER RES, V271, P1023, DOI 10.1007/s10479-018-3045-2. Zhang ZZ, 2021, TRANSPORT SCI, V55, P160, DOI 10.1287/trsc.2019.0964.}, Number-of-Cited-References = {59}, Times-Cited = {0}, Usage-Count-Last-180-days = {13}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Int. Trans. Oper. Res.}, Doc-Delivery-Number = {5TD2L}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001543710100001}, DA = {2026-04-14}, } @article{ WOS:000185697000014, Author = {Wang, J}, Title = {A fuzzy robust scheduling approach for product development projects}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2004}, Volume = {152}, Number = {1}, Pages = {180-194}, Month = {JAN 1}, Abstract = {Efficient scheduling of a product development project is difficult, since a development project is usually unique in nature and high level of design imprecision exists at the early stages of product development. Moreover, risk-averse project managers are often more interested in estimating the risk of a schedule being late over all potential realizations. The objective of this research is to develop a robust scheduling methodology based on fuzzy set theory for uncertain product development projects. The imprecise temporal parameters involved in the project are represented by fuzzy sets. A measure of schedule robustness based on qualitative possibility theory is proposed to guide the search process to determine the robust schedule; i.e., the schedule with the best worst-case performance. A genetic algorithm approach is developed for solving the problem with acceptable performance. An example of electronic product development project is used to illustrate the concept developed. (C) 2002 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, J (Corresponding Author), Feng Chia Univ, Dept Ind Engn, POB 25-097,100 Wenhwa Rd Seatwen, Taichung 40724, Taiwan. Feng Chia Univ, Dept Ind Engn, Taichung 40724, Taiwan.}, DOI = {10.1016/S0377-2217(02)00701-4}, ISSN = {0377-2217}, Keywords = {project scheduling; fuzzy sets; research and development; possibility theory; genetic algorithms}, Keywords-Plus = {DUE-DATES; SEARCH; UNCERTAINTY; HEURISTICS; CONSTRAINT; RANKING; TIME}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Affiliations = {Feng Chia University}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {{[}Anonymous], 1981, FUZZY MULTIPLE ATTRI. {[}Anonymous], 1992, GENETIC ALGORITHMS D. BELL CE, 1990, NAV RES LOG, V37, P61, DOI 10.1002/1520-6750(199002)37:1<61::AID-NAV3220370104>3.0.CO;2-S. CHANAS S, 1987, OPTIMIZATION MODELS, P303. Cheng RW, 1998, INT J COMP INTEG M, V11, P274, DOI 10.1080/095119298130804. 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Res.}, Doc-Delivery-Number = {728CE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000185697000014}, DA = {2026-04-14}, } @article{ WOS:001596238000001, Author = {Camara, Marcos A. and Jafelice, Rosana M.}, Title = {Application of possibilistic optimization to interval-valued fuzzy numbers: supplemental diet}, Journal = {COMPUTATIONAL \& APPLIED MATHEMATICS}, Year = {2025}, Volume = {45}, Number = {2}, Month = {OCT 15}, Abstract = {This article demonstrates that a type-2 fuzzy set is a useful and insightful way to model optimization problems under uncertainty. Toward this objective, a new representation of interval-valued fuzzy sets based on constraint functions, called generalized fuzzy intervals, is developed for the analysis of possibilistic optimization problems in which the parameters are generalizations of interval-valued fuzzy numbers. The aim of this study is to represent interval-valued fuzzy sets in a way that possibilistic optimization models solved with generalized fuzzy intervals result in increased information about the risk associated with proposed actions that might be taken based on a solution strategy. This methodology uses the penalty method to reduce a possibilistic Linear Programming Problem (LPP) into a nonlinear optimization problem, whose results are compared with the resolution of the LPP by alpha-levels whose solutions are defuzzified via centroid and, possibility and necessity, taking as reference the solution of the deterministic LPP. An application of a supplemental diet is presented to an individual who has been diagnosed with nutritional deficiencies, with varying amounts of nutrients in relation to one of their preferred foods, which is mathematically described by interval-valued fuzzy number. The results obtained in solving the possibilistic optimization problem with the penalty method allow the individual to determine the best diet to meet their daily nutrient needs at the lowest cost in relation to the other methods presented.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Jafelice, RM (Corresponding Author), Univ Fed Uberlandia, Inst Math \& Stat, Ave Joao Naves de Avila 2121, BR-38400902 Uberlandia, MG, Brazil. Camara, Marcos A.; Jafelice, Rosana M., Univ Fed Uberlandia, Inst Math \& Stat, Ave Joao Naves de Avila 2121, BR-38400902 Uberlandia, MG, Brazil.}, DOI = {10.1007/s40314-025-03457-8}, Article-Number = {75}, ISSN = {2238-3603}, EISSN = {1807-0302}, Keywords = {Interval-valued fuzzy sets; constraint functions; possibilistic optimization; alpha-level}, Keywords-Plus = {TYPE-2; REDUCTION; MODEL; UNCERTAIN}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {camara@ufu.br rmotta@ufu.br}, Affiliations = {Universidade Federal de Uberlandia}, ResearcherID-Numbers = {Jafelice, R Motta/AAE-1773-2021}, ORCID-Numbers = {Jafelice, R Motta/0000-0001-8489-3974}, Cited-References = {Angel E, 2006, LECT NOTES COMPUT SC, V3484, P30, DOI 10.1007/11671541\_2. {[}Anonymous], 2017, Studies in Computational Intelligence. Aouni B, 2009, J MULTI-CRITERIA DEC, V16, P149, DOI 10.1002/mcda.448. Artmed S, 2022, Secad Artmed. 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Zangwill W., 1967, MANAGE SCI, V13, P344, DOI 10.1287/mnsc.13.5.344.}, Number-of-Cited-References = {55}, Times-Cited = {1}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Comput. Appl. Math.}, Doc-Delivery-Number = {8SL1R}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001596238000001}, DA = {2026-04-14}, } @article{ WOS:A1997XG48100011, Author = {Liu, ML and Sahinidis, NV}, Title = {Process planning in a fuzzy environment}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {1997}, Volume = {100}, Number = {1}, Pages = {142-169}, Month = {JUL 1}, Abstract = {Mixed-integer optimization models for chemical process planning typically assume that model parameters can be accurately predicted. As precise forecasts are difficult to obtain, process planning usually involves uncertainty and ambiguity in the data. This paper presents an application of fuzzy programming to process planning, The forecast parameters are assumed to be fuzzy with a linear or triangular membership function. The process planning problem is then formulated in terms of decision making in a fuzzy environment with fuzzy constraints and fuzzy net present value goals. The model is transformed to a deterministic mixed-integer linear program or mixed-integer nonlinear program depending on the type of uncertainty involved in the problem. For the nonlinear case, a global optimization algorithm is developed for its solution. This algorithm is applicable to general possibilistic programs and can be used as an alternative to the commonly used bisection method. Illustrative examples and computational results for a petrochemical complex with 38 processes and 24 products illustrate the applicability of the developed models and algorithms. 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Tanaka H., 1973, Journal of Cybernetics, V3, P37, DOI 10.1080/01969727308545912. TANAKA H, 1984, FUZZY SET SYST, V13, P1, DOI 10.1016/0165-0114(84)90022-8. TONG SC, 1994, FUZZY SET SYST, V66, P301, DOI 10.1016/0165-0114(94)90097-3. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. Zimmermann H.J., 1984, FUZZY SETS DECISION, P133. Zimmermann H.J., 1987, FUZZY SETS DECISION. Zimmermann H.J., 1992, Fuzzy set theory and its applications.}, Number-of-Cited-References = {57}, Times-Cited = {75}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {XG481}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1997XG48100011}, DA = {2026-04-14}, } @article{ WOS:000605403100008, Author = {Yousefi, A. and Pishvaee, M. S. and Teimoury, E.}, Title = {Adjusting the credit sales using CVaR-based robust possibilistic programming approach}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2021}, Volume = {18}, Number = {1}, Pages = {117-136}, Month = {JAN-FEB}, Abstract = {The purpose of this study is to develop a dairy global supply chain planning model in which operational and financial dimensions are appropriately integrated in order to adjust the credit sale strategy. In order to evaluate the financial performance of the dairy supply chain, economic value-added index and some financial ratios are used. The proposed model is compared to traditional approaches, which usually use the profit maximization as an objective function. Also, the amount of credit sales is considered as a decision variable for the first time in this research. The developed model utilized a new risk measure, i.e., the fuzzy CVaR, to cope with the uncertainty of the exchange rate and the quality and quantity of returned products. The effectiveness and efficiency of the proposed model are analyzed and assessed using the data of a real dairy supply chain. The analysis of results obtained from the developed fuzzy mathematical model shows an increase in profit and a reduction in semi-variance compared to previously developed models. Also, some numerical experiments analyses index and the impact of credit sales strategy.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Pishvaee, MS (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Yousefi, A.; Pishvaee, M. S.; Teimoury, E., Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, ISSN = {1735-0654}, Keywords = {Financial flow; milk supply chain; credit sales; economic value-added; fuzzy mathematical programming; robust possibilistic programming; global supply chain}, Keywords-Plus = {LOOP SUPPLY CHAIN; NETWORK DESIGN; OPTIMIZATION; UNCERTAINTY; FUZZY; MODEL; COORDINATION; INTEGRATION; MULTISTAGE; ALGORITHM}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {atyousefi@ymail.com pishvaee@iust.ac.ir Teimoury@iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Teimoury, Ebrahim/S-8806-2018 Pishvaee, Mir/H-3450-2018}, Cited-References = {Ahmadvand S, 2018, HEALTH CARE MANAG SC, V21, P587, DOI 10.1007/s10729-017-9414-6. Amin SH, 2017, EXPERT SYST APPL, V73, P82, DOI 10.1016/j.eswa.2016.12.024. Arani HV, 2018, INFORM SCIENCES, V423, P96, DOI 10.1016/j.ins.2017.09.045. 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Zhang ZH, 2016, TRANSPORT RES B-METH, V89, P127, DOI 10.1016/j.trb.2016.04.006.}, Number-of-Cited-References = {39}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Iran. J. Fuzzy. Syst.}, Doc-Delivery-Number = {PO8FU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000605403100008}, DA = {2026-04-14}, } @article{ WOS:000425575600007, Author = {Sahebjamnia, Navid and Torabi, S. Ali and Mansouri, S. Afshin}, Title = {Building organizational resilience in the face of multiple disruptions}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2018}, Volume = {197}, Pages = {63-83}, Month = {MAR}, Abstract = {The increasing number of natural and man-made hazards is forcing organizations to build resilience against numerous types of disruptions that threaten continuity of their business processes. This paper presents an integrated business continuity and disaster recovery planning (IBCDRP) model to build organizational resilience that can respond to multiple disruptive incidents, which may occur simultaneously or sequentially. This problem involves multiple objectives and accounts for inherent epistemic uncertainty in input data. A multi-objective mixed-integer robust possibilistic programming model is formulated, which accounts for sensitivity and feasibility robustness. The model aims to plan both internal and external resources with minimal resumption time, restoration time, and loss in the operating level of critical functions by making tradeoffs between required resources for continuity plans, recovery time, and the recovery point. A real case study in a furniture manufacturing company is conducted to demonstrate the performance and applicability of the proposed IBCDRP model. The results confirm the capability of the proposed model to improve organizational resilience. In addition, the proposed model demonstrates the interaction between the organizational resilience and required resources, particularly in respect to the total budget and external resources, which is necessary for developing continuity and recovery strategies.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Mansouri, SA (Corresponding Author), Brunel Univ London, Brunel Business Sch, Uxbridge, Middx, England. Sahebjamnia, Navid, Univ Sci \& Technol Mazandaran, Dept Ind Engn, Behshahr, Iran. Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Mansouri, S. Afshin, Brunel Univ London, Brunel Business Sch, Uxbridge, Middx, England.}, DOI = {10.1016/j.ijpe.2017.12.009}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {Organizational resilience; Business continuity management; Disaster operations management; Multi-objective programming; Robust possibilistic programming}, Keywords-Plus = {BUSINESS CONTINUITY MANAGEMENT; EPSILON-CONSTRAINT METHOD; SUPPLY CHAIN NETWORK; ROBUST OPTIMIZATION; DECISION-MAKING; IMPACT ANALYSIS; OR/MS RESEARCH; FRAMEWORK; RISK; DESIGN}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {n.sahebjamnia@du.ac.ir satorabi@ut.ac.ir afshin.mansouri@brunel.ac.uk}, Affiliations = {University of Science \& Technology of Mazandaran; University of Tehran; Brunel University}, ResearcherID-Numbers = {Torabi, S. 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Torabi SA, 2016, SAFETY SCI, V89, P201, DOI 10.1016/j.ssci.2016.06.015. Wagner SM, 2017, INT J PROD ECON, V183, P66, DOI 10.1016/j.ijpe.2016.10.002. Wagner SM, 2009, EUR J OPER RES, V199, P150, DOI 10.1016/j.ejor.2008.11.012. Wang J, 2006, INT J PROD RES, V44, P2047, DOI 10.1080/00207540500354028. Woodman P., 2013, WEATHERING STORM 201, P4. Zobel C.W., 2010, Proceedings of the 7th International ISCRAM Conference, P1. Zobel CW, 2014, COMPUT OPER RES, V42, P83, DOI 10.1016/j.cor.2011.09.024.}, Number-of-Cited-References = {82}, Times-Cited = {137}, Usage-Count-Last-180-days = {14}, Usage-Count-Since-2013 = {241}, Journal-ISO = {Int. J. Prod. Econ.}, Doc-Delivery-Number = {FW8IO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000425575600007}, OA = {Green Published, hybrid}, DA = {2026-04-14}, } @article{ WOS:000290041100001, Author = {Yager, Ronald R.}, Title = {A measure based approach to the fusion of possibilistic and probabilistic uncertainty}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2011}, Volume = {10}, Number = {2}, Pages = {91-113}, Month = {JUN}, Abstract = {We are interested in the problem of multi-source information fusion in the case when the information provided has some uncertainty. We note that sensor provided information generally has a probabilistic type of uncertainty whereas linguistic information typically introduces a possibilistic type of uncertainty. More generally, we are faced with a problem in which we must fuse information with different types of uncertainty. In order to provide a unified framework for the representation of these different types of uncertain information we use a set measure approach for the representation of uncertain information. We discuss a set measure representation of uncertain information. In the multi-source fusion problem, in addition to having a collection of pieces of information that must be fused, we need to have some expert provided instructions on how to fuse these pieces of information. Generally these instructions can involve a combination of linguistically and mathematically expressed directions. In the course of this work we begin to consider the fundamental task of how to translate these instructions into formal operations that can be applied to our information. This requires us to investigate the important problem of the aggregation of set measures.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Yager, RR (Corresponding Author), Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA. Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA.}, DOI = {10.1007/s10700-011-9098-1}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Fuzzy measure; Aggregation operators; Multi-source fusion; Uncertainty}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {yager@panix.com}, Affiliations = {Iona College}, ResearcherID-Numbers = {Yager, Ronald/A-2960-2013}, Cited-References = {ALSINA C, 1983, J MATH ANAL APPL, V93, P15, DOI 10.1016/0022-247X(83)90216-0. {[}Anonymous], 1992, 2 FUZZY WORKSHOP. {[}Anonymous], P 13 INT C INF FUS F. {[}Anonymous], DECISION MAKING PROC. APPADOO SS, 2008, FUZZY OPTIM DECIS MA, V7, P5. Beliakov G., 2007, Aggregation functions. Choquet G., 1954, ANN LINSTITUT FOURIE, V5, P131, DOI {[}DOI 10.5802/AIF.53, 10.5802/aif.53]. 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Mak.}, Doc-Delivery-Number = {756UV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000290041100001}, DA = {2026-04-14}, } @article{ WOS:000363458900003, Author = {Dubois, Didier and Prade, Henri}, Title = {The legacy of 50 years of fuzzy sets: A discussion}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2015}, Volume = {281}, Number = {SI}, Pages = {21-31}, Month = {DEC 15}, Abstract = {This note provides a brief overview of the main ideas and notions underlying fifty years of research in fuzzy set and possibility theory, two important settings introduced by L.A. Zadeh for representing sets with unsharp boundaries and uncertainty induced by granules of information expressed with words. The discussion is organized on the basis of three potential understanding of the grades of membership to a fuzzy set, depending on what the fuzzy set intends to represent: a group of elements with borderline members, a plausibility distribution, or a preference profile. It also questions the motivations for some existing generalized fuzzy sets. This note clearly reflects the shared personal views of its authors. (C) 2015 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Dubois, D (Corresponding Author), CNRS, IRIT, F-31062 Toulouse, France. Dubois, Didier, CNRS, IRIT, F-31062 Toulouse, France. Univ Toulouse 3, F-31062 Toulouse, France.}, DOI = {10.1016/j.fss.2015.09.004}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy set; Possibility theory; Similarity; Uncertainty; Preference}, Keywords-Plus = {LOGIC; UNCERTAINTY; SYSTEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {dubois@irit.fr}, Affiliations = {Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse; Centre National de la Recherche Scientifique (CNRS); Universite Toulouse III - Paul Sabatier; Universite de Toulouse; Universite Toulouse III - Paul Sabatier}, Cited-References = {Ali AH, 2003, IEEE T FUZZY SYST, V11, P9, DOI 10.1109/TFUZZ.2002.806313. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {95}, Times-Cited = {46}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {CU3XF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000363458900003}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:001442111400001, Author = {Das, Manojit and Rahaman, Mostafijur and Alam, Shariful and Jana, Dipak Kumar and Salameh, Anas A. and Al Sulaie, Saleh and Yin, Hengbin and Ahmadian, Ali}, Title = {Pareto improvement in a dual-channel closed-loop supply chain system by integrating product sustainability and consumer focus}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2025}, Volume = {99}, Month = {JUN}, Abstract = {Closed-loop supply chain systems have gained significant attention in recent years due to their potential for environmental and economic benefits. This study unveils customer-oriented economic measures and ensures environmental sustainability in a closed-loop dual-channel supply chain (CL-DCSC) model system comprised of a single manufacturer and retailer. This investigation combines closed-loop aspects of collecting used products from numerous consumers with dual-channel processes incorporating the uncertainty in market demand and raw-material cost. The proposed model includes the return rate of used products as a crucial factor in addition to considering wholesale, retail, and online sale prices for making informed decisions. This study utilizes an uncertain parameter defuzzification technique with fuzzy possibility measures to globally maximize the expected net earnings of the whole supply chain (SC) in a centralized decision-making scenario and the expected net earnings of every participant in a decentralized decision-making scenario. Extensive numerical simulation reveals that the CL-DCSC model corresponds to stakeholders' desired eco-friendly, customer- oriented, and profitable strategy in the centralized decision-making scenario. The study demonstrates that adopting a two-part tariff (TPT) contract can facilitate rational decision-making among stakeholders, aligning their interests with the centralized strategy. Furthermore, this study provided a mathematical approach for measuring contract fairness, Pareto improvement, and coordination efficiency. The outcomes confirm that the contract is fair, facilitates Pareto improvement, and effectively coordinates the CL-DCSC. The model emphasizes the importance of developing a CL-DCSC framework, suggesting that collaborative partnerships are more beneficial than competitive approaches. The findings encourage businesses to prioritize sustainable practices, such as recycling and product returns, which can lead to cost reductions and improved profitability. Understanding and integrating consumer preferences into SC strategies can enhance customer satisfaction and loyalty, benefiting overall SC performance.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Yin, HB (Corresponding Author), Wenzhou Business Coll, Sch Finance \& Trade, Wenzhou 325000, Peoples R China. Yin, HB (Corresponding Author), Sungkyunkwan Univ, Dept Int Trade, Seoul, South Korea. Das, Manojit; Rahaman, Mostafijur; Alam, Shariful, Indian Inst Engn Sci \& Technol, Dept Math, Sibpur 711103, Howrah, India. Das, Manojit; Jana, Dipak Kumar, Haldia Inst Technol, Sch Appl Sci \& Humanities, Haldia 721657, India. Salameh, Anas A., Prince Sattam Bin Abdulaziz Univ, Coll Business Adm, Dept Management Informat Syst, Al Kharj 11942, Saudi Arabia. Al Sulaie, Saleh, Umm Al Qura Univ, Coll Engn \& Comp Al Qunfudah, Dept Mech \& Ind Engn, Mecca 21955, Saudi Arabia. Yin, Hengbin, Wenzhou Business Coll, Sch Finance \& Trade, Wenzhou 325000, Peoples R China. Yin, Hengbin, Sungkyunkwan Univ, Dept Int Trade, Seoul, South Korea. Ahmadian, Ali, Istanbul Okan Univ, Fac Engn \& Nat Sci, Istanbul, Turkiye. Ahmadian, Ali, Jadara Univ, Res Ctr, Irbid, Jordan. Rahaman, Mostafijur, Mohan Babu Univ, Sch Liberal Arts \& Sci, Dept Math, Tirupati 517102, Andhra Pradesh, India. Jana, Dipak Kumar, Gangarampur Coll, Dakshin Dinajpur 733124, W Bengal, India.}, DOI = {10.1016/j.seps.2025.102182}, EarlyAccessDate = {MAR 2025}, Article-Number = {102182}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Dual-channel supply chain; Used-product return rate; Contract; Game theory; Fuzzy possibility measure}, Keywords-Plus = {COORDINATION CONTRACTS; EXPECTED VALUE; FUZZY; DECISIONS; PRICE; FAIRNESS; SALES}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {20190251@wzbc.edu.cn ahmadian.hosseini@unirc.it}, Affiliations = {Indian Institute of Engineering Science Technology Shibpur (IIEST); Haldia Institute of Technology; Prince Sattam Bin Abdulaziz University; Umm Al-Qura University; Sungkyunkwan University (SKKU); Okan University}, ResearcherID-Numbers = {Salameh, Anas A/JBJ-7007-2023 RAHAMAN, MOSTAFIJUR/AAP-3867-2021 Ahmadian, Ali/N-3697-2015 Das, Manojit/GLT-7888-2022 Jana, Dipak/O-4655-2016}, ORCID-Numbers = {Salameh, Anas A/0000-0002-4694-3771 RAHAMAN, MOSTAFIJUR/0000-0002-5513-4095 Ahmadian, Ali/0000-0002-0106-7050 Das, Manojit/0000-0002-0544-3949 }, Funding-Acknowledgement = {Prince Sattam bin Abdu-laziz University {[}PSAU/2025/R/1446]}, Funding-Text = {Acknowledgment This study is supported via funding from Prince Sattam bin Abdu-laziz University project number (PSAU/2025/R/1446) .}, Cited-References = {Alamdar SF, 2018, EXPERT SYST APPL, V104, P261, DOI 10.1016/j.eswa.2018.03.029. {[}Anonymous], 2007, J. 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Sci.}, Doc-Delivery-Number = {Z9O4R}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001442111400001}, DA = {2026-04-14}, } @article{ WOS:000306976900008, Author = {Torabi, S. A. and Amiri, A. Shamekhi}, Title = {A possibilistic approach for designing hybrid cellular manufacturing systems}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2012}, Volume = {50}, Number = {15}, Pages = {4090-4104}, Abstract = {In this paper, a hybrid cellular manufacturing (HCM) system is presented in which the main sources of uncertainty, e.g. the demands of parts and unit costs are treated as fuzzy numbers in the form of possibilistic distributions. The basic concept of HCM is that high variation in demand might disturb cell efficiency, so forming cells with only those parts that have stable demand, will profit. Thus, to design stable and robust manufacturing cells, a two-phase method is proposed in which a fuzzy adaptive ranking method is first applied to identify those parts with low and non-repetitive demands (i.e. the special parts) which will then be assigned to a functional cell. Afterwards, an interactive possibilistic programming model is applied to cell formation of remaining regular parts while considering both part sequences and multiple routes. To show the capability and usefulness of the proposed method, an illustrative example is also provided. Finally, concluding remarks are reported.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Dept Ind Engn, Coll Engn, Tehran, Iran. Torabi, S. A.; Amiri, A. Shamekhi, Univ Tehran, Dept Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1080/00207543.2011.590827}, ISSN = {0020-7543}, Keywords = {hybrid cellular manufacturing system; fuzzy ranking; possibilistic programming}, Keywords-Plus = {GROUP-TECHNOLOGY; PERFORMANCE; MODEL; IMPLEMENTATION; ORGANIZATION; CELLS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {satorabi@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Shamekhi Amiri, Alireza/0000-0002-4198-7257 Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {ANG CL, 1984, INT J PROD RES, V22, P193, DOI 10.1080/00207548408942449. Arikan F, 2009, MATH COMPUT MODEL, V50, P407, DOI 10.1016/j.mcm.2009.04.017. BURGESS AG, 1993, INT J PROD RES, V31, P2059, DOI 10.1080/00207549308956844. 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Res.}, Doc-Delivery-Number = {981OE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000306976900008}, DA = {2026-04-14}, } @article{ WOS:000678253500001, Author = {Rutten, Roel}, Title = {Uncertainty, Possibility, and Causal Power in QCA}, Journal = {SOCIOLOGICAL METHODS \& RESEARCH}, Year = {2023}, Volume = {52}, Number = {4}, Pages = {1707-1736}, Month = {NOV}, Abstract = {Uncertainty undermines causal claims; however, the nature of causal claims decides what counts as relevant uncertainty. Empirical robustness is imperative in regularity theories of causality. Regularity theory features strongly in QCA, making its case sensitivity a weakness. Following qualitative comparative analysis (QCA) founder Charles Ragin's emphasis on ontological realism, this article suggests causality as a power and thus breaks with the ontological determinism of regularity theories. Exercising causal powers makes it possible for human agents to achieve an outcome but does not determine that they will. The article explains how QCA's truth table analysis ``models{''} possibilistic uncertainty and how crisp sets do this better than fuzzy sets. Causal power is at the heart of critical realist philosophy of science. Like Ragin, critical realism suggests empirical analysis as merely describing underlying causal relationships. Empirical statements must be substantively interpreted into causal claims. The article is critical of ``empiricist{''} QCA that infers causality from the robustness of set relationships.}, Publisher = {SAGE PUBLICATIONS INC}, Address = {2455 TELLER RD, THOUSAND OAKS, CA 91320 USA}, Type = {Article}, Language = {English}, Affiliation = {Rutten, R (Corresponding Author), Tilburg Univ, Tilburg Sch Social \& Behav Sci, North Brabant, POB 90153, NL-5000 LE Tilburg, Netherlands. Rutten, Roel, Tilburg Univ, Tilburg Sch Social \& Behav Sci, North Brabant, POB 90153, NL-5000 LE Tilburg, Netherlands.}, DOI = {10.1177/00491241211031268}, EarlyAccessDate = {JUL 2021}, Article-Number = {00491241211031268}, ISSN = {0049-1241}, EISSN = {1552-8294}, Keywords = {causality; critical realism; possibility; QCA; uncertainty}, Keywords-Plus = {QUALITATIVE COMPARATIVE-ANALYSIS; CRITICAL REALISM; CONFIGURATIONS; COMPLEXITY; FRAMEWORK}, Research-Areas = {Mathematical Methods In Social Sciences; Sociology}, Web-of-Science-Categories = {Social Sciences, Mathematical Methods; Sociology}, Author-Email = {r.p.j.h.rutten@uvt.nl}, Affiliations = {Tilburg University}, ORCID-Numbers = {Rutten, Roel/0000-0002-5933-2996}, Cited-References = {Amrhein V, 2019, NATURE, V567, P305, DOI 10.1038/d41586-019-00857-9. Archer MargaretS., 2016, Perspectives: A Newsletter of the ASA Theory Section, DOI DOI 10.1177/0004957116671656. 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Res.}, Doc-Delivery-Number = {U9GC8}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000678253500001}, OA = {Green Published, hybrid}, DA = {2026-04-14}, } @article{ WOS:000075712800005, Author = {Wang, XZ and Hong, JR}, Title = {On the handling of fuzziness for continuous-valued attributes in decision tree generation}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1998}, Volume = {99}, Number = {3}, Pages = {283-290}, Month = {NOV 1}, Abstract = {In this paper, fuzziness existing in the process of generating decision trees by discretizing continuous-valued attributes is considered. In a sense a better way to express this fuzziness via fuzzy numbers is presented using possibility theory. The fact that selection of membership functions in a class of symmetric distributions does not influence the decision tree generation is proved. The validity of using the tree to classify future examples is explained. 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Harbin Inst Technol, Dept Comp Sci, Harbin 150001, Peoples R China.}, DOI = {10.1016/S0165-0114(97)00030-4}, ISSN = {0165-0114}, Keywords = {possibility theory; measures of information; knowledge acquisition; learning; decision trees}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Hebei University; Harbin Institute of Technology}, ResearcherID-Numbers = {Wang, Xizhao/ABG-7225-2020}, Cited-References = {Cheng J., 1988, Machine Learning Proceedings 1988, Elsevier, P100, DOI DOI 10.1016/B978-0-934613-64-4.50016-5. Clark P., 1989, Machine Learning, V3, P261, DOI 10.1023/A:1022641700528. DUBOIS D, 1988, POSSIBILITY THEORY. Fayyad U. M., 1991, MACHINE LEARNING ALG. FAYYAD UM, 1992, MACH LEARN, V8, P87, DOI 10.1007/BF00994007. NATHER W, 1990, FUZZY SET SYST, V36, P327, DOI 10.1016/0165-0114(90)90107-H. NATHER W, 1987, FUZZY MODEL FITTING, pD187. Quinlan J. 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ZHENYUAN W, 1990, FUZZY SETS SYSTEMS, V36, P125.}, Number-of-Cited-References = {12}, Times-Cited = {45}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {116FE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000075712800005}, DA = {2026-04-14}, } @article{ WOS:000329903700004, Author = {Nagar, Lokesh and Dutta, Pankaj and Jain, Karuna}, Title = {An integrated supply chain model for new products with imprecise production and supply under scenario dependent fuzzy random demand}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, Year = {2014}, Volume = {45}, Number = {5}, Pages = {873-887}, Month = {MAY 4}, Abstract = {In the present day business scenario, instant changes in market demand, different source of materials and manufacturing technologies force many companies to change their supply chain planning in order to tackle the real-world uncertainty. The purpose of this paper is to develop a multi-objective two-stage stochastic programming supply chain model that incorporates imprecise production rate and supplier capacity under scenario dependent fuzzy random demand associated with new product supply chains. The objectives are to maximise the supply chain profit, achieve desired service level and minimise financial risk. The proposed model allows simultaneous determination of optimum supply chain design, procurement and production quantities across the different plants, and trade-offs between inventory and transportation modes for both inbound and outbound logistics. Analogous to chance constraints, we have used the possibility measure to quantify the demand uncertainties and the model is solved using fuzzy linear programming approach. An illustration is presented to demonstrate the effectiveness of the proposed model. Sensitivity analysis is performed for maximisation of the supply chain profit with respect to different confidence level of service, risk and possibility measure. It is found that when one considers the service level and risk as robustness measure the variability in profit reduces.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Dutta, P (Corresponding Author), Indian Inst Technol, Shailesh J Mehta Sch Management, Bombay 400076, Maharashtra, India. Nagar, Lokesh; Dutta, Pankaj; Jain, Karuna, Indian Inst Technol, Shailesh J Mehta Sch Management, Bombay 400076, Maharashtra, India.}, DOI = {10.1080/00207721.2012.742594}, ISSN = {0020-7721}, EISSN = {1464-5319}, Keywords = {supply chain management; new products; two-stage stochastic programming; fuzzy random demand; possibility measure}, Keywords-Plus = {DISTRIBUTION-SYSTEMS; PROGRAMMING APPROACH; CUSTOMER DEMAND; INVENTORY MODEL; MANAGEMENT; UNCERTAINTY; ENVIRONMENT; PERIOD; OPTIMIZATION; COEFFICIENTS}, Research-Areas = {Automation \& Control Systems; Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Computer Science, Theory \& Methods; Operations Research \& Management Science}, Author-Email = {pdutta@iitb.ac.in kjain@iitb.ac.in}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay}, ORCID-Numbers = {Dutta, Pankaj/0000-0001-7607-6472}, Cited-References = {Aliev RA, 2007, INFORM SCIENCES, V177, P4241, DOI 10.1016/j.ins.2007.04.012. 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Santoso T, 2005, EUR J OPER RES, V167, P96, DOI 10.1016/j.ejor.2004.01.046. TANAKA H, 1984, FUZZY SET SYST, V13, P1, DOI 10.1016/0165-0114(84)90022-8. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Wang JT, 2005, FUZZY SET SYST, V150, P107, DOI 10.1016/j.fss.2004.07.005. Xie Y, 2006, INT J PROD ECON, V102, P37, DOI 10.1016/j.ijpe.2005.01.016. Xu JP, 2008, INFORM SCIENCES, V178, P2899, DOI 10.1016/j.ins.2008.03.003. Xu JP, 2011, STUD FUZZ SOFT COMP, V263, P1, DOI 10.1007/978-3-642-16895-6. Xu JP, 2011, FUZZY OPTIM DECIS MA, V10, P255, DOI 10.1007/s10700-011-9105-6. Xu RN, 2008, INFORM SCIENCES, V178, P3374, DOI 10.1016/j.ins.2008.05.012.}, Number-of-Cited-References = {36}, Times-Cited = {17}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {89}, Journal-ISO = {Int. J. Syst. Sci.}, Doc-Delivery-Number = {292LR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000329903700004}, DA = {2026-04-14}, } @article{ WOS:000306529700008, Author = {Masmoudi, Malek and Hait, Alain}, Title = {Fuzzy uncertainty modelling for project planning: application to helicopter maintenance}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2012}, Volume = {50}, Number = {13, SI}, Pages = {3594-3611}, Abstract = {Maintenance is an activity of growing interest, especially for critical systems. In particular, aircraft maintenance costs are becoming an important issue in the aeronautical industry. Managing an aircraft maintenance centre is a complex activity. One of the difficulties comes from the numerous uncertainties that affect the activity and disturb the plans in the short and medium term. Based on a helicopter maintenance planning and scheduling problem, we study in this paper the integration of uncertainties into tactical and operational multi-resource, multi-project planning (respectively Rough Cut Capacity Planning and the Resource Constraint Project Scheduling Problem). Our main contributions are in modelling the periodic workload on a tactical level considering uncertainties in macro-task work content, and modelling the continuous workload on the operational level considering uncertainties in task duration. We model uncertainties using a fuzzy/possibilistic approach instead of a stochastic approach since very limited data are available. We refer to the problems as the Fuzzy Rough Cut Capacity Problem (FRCCP) and the Fuzzy Resource Constraint Project Scheduling Problem (RCPSP). We apply our models to helicopter maintenance activity within the frame of the Helimaintenance project, an industrial project approved by the French Aerospace Valley cluster that aims at building a centre for civil helicopter maintenance.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Masmoudi, M (Corresponding Author), Univ Toulouse, Inst Super Aeronaut \& Espace, 10 Av Edouard Belin, F-31055 Toulouse, France. Masmoudi, Malek; Hait, Alain, Univ Toulouse, Inst Super Aeronaut \& Espace, F-31055 Toulouse, France.}, DOI = {10.1080/00207543.2012.670925}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {fuzzy/possibilistic; planning; scheduling; PERT/CPM; helicopters; maintenance}, Keywords-Plus = {HEURISTICS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {malek.masmoudi@isae.fr}, Affiliations = {Universite de Toulouse; Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)}, ORCID-Numbers = {Haït, Alain/0000-0001-5918-0753}, Cited-References = {{[}Anonymous], SCHEDULING SCHEDULIN. {[}Anonymous], LECT NOTES COMPUTER. {[}Anonymous], STOCHASTIC VERSUS FU. {[}Anonymous], THESIS TWENTE U. {[}Anonymous], THESIS NAVAL POSTGRA. {[}Anonymous], PMS C 3 5 APR VAL SP. {[}Anonymous], 7 C EUR SOC FUZZ LOG. {[}Anonymous], 5 INT C SYST RES INF. {[}Anonymous], INT C IND ENG SYST M. {[}Anonymous], THESIS TWENTE U. {[}Anonymous], 8 ENIM IFAC INT C MO. CHEN S, 2000, THESIS VIRGINIA POLY. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. Dubois D, 2003, EUR J OPER RES, V147, P266, DOI 10.1016/S0377-2217(02)00560-X. Dubois D., 1988, POSSIBILITY THEORY. Gademann N, 2005, IIE TRANS, V37, P153, DOI 10.1080/07408170590885611. Grabot B, 2005, J INTELL MANUF, V16, P215, DOI 10.1007/s10845-004-5890-x. Guiffrida AL, 1998, J INTELL MANUF, V9, P39, DOI 10.1023/A:1008847308326. Hahn RA, 2008, COMPUT OPER RES, V35, P1829, DOI 10.1016/j.cor.2006.09.015. Hans EW, 2007, OMEGA-INT J MANAGE S, V35, P563, DOI 10.1016/j.omega.2005.10.004. Hapke M, 1996, FUZZY SET SYST, V83, P291, DOI 10.1016/0165-0114(95)00338-X. HAPKE M, 1994, FUZZY SET SYST, V67, P101, DOI 10.1016/0165-0114(94)90211-9. Hwang C.-L., 1992, FUZZY MULTIPLE ATTRI. INUIGUCHI M, 1994, INT J PROD ECON, V33, P45, DOI 10.1016/0925-5273(94)90117-1. Leu SS, 1999, CAN J CIVIL ENG, V26, P673, DOI 10.1139/cjce-26-6-673. Masmoudi M, 2011, IEEE INT C EMERG. Slowinski R., 2000, Scheduling under fuzziness. Wullink G, 2004, INT J PROD RES, V42, P5079, DOI 10.1080/002075410001733887. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {30}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {975RW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000306529700008}, DA = {2026-04-14}, } @article{ WOS:A1992HH22600002, Author = {DUBOIS, D and PRADE, H}, Title = {ON THE RELEVANCE OF NONSTANDARD THEORIES OF UNCERTAINTY IN MODELING AND POOLING EXPERT OPINIONS}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {1992}, Volume = {36}, Number = {2}, Pages = {95-107}, Abstract = {Wu, Apostolakis and Okrent1 have recently analyzed the current status of emerging alternatives to classical probabilistic methods in the modeling and pooling of expert opinions in safety analysis of engineering systems. They have pointed out some difficulties faced by these theories, due to their relative lack of maturity. This paper pursues the investigation so as to clarify some aspects of belief functions and possibility theories, and also to point out the need for further research. A comparison between the mathematical models of expert opinion pooling offered by Bayesian probabilities, belief functions and possibility theory is carried out. It is proved that the Bayesian approach that these authors advocate suffers from the same numerical stability problems as possibilistic and evidential rules of combination in the presence of strongly conflicting information due to their strong structural similarities. The problem of dependence between experts is briefly addressed. The other main point of this paper is that a single combination rule cannot reasonably address all situations where expert opinions must be pooled. It is suggested that the framework of possibility and evidence theories offers a more flexible framework for representing and combining subjective uncertain judgments than the one of subjective probability alone although some progress is required to reach the maturity of the Bayesian theory.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {DUBOIS, D (Corresponding Author), UNIV TOULOUSE 3, INST RECH INFORMAT TOULOUSE, 118 ROUTE NARBONNE, F-31062 TOULOUSE, FRANCE.}, DOI = {10.1016/0951-8320(92)90090-8}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords-Plus = {SETS; PROBABILITY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Cited-References = {{[}Anonymous], 1986, MATH THEORY EVIDENCE. APOSTOLAKIS GE, 1988, RELIABILITY ENG SYST, V23. 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VOORBRAAK F, 1991, ARTIF INTELL-AMST, V48, P171, DOI 10.1016/0004-3702(91)90060-W. WAGNER C, 1982, THEOR DECIS, V14, P207, DOI 10.1007/BF00133978. WONG SKM, 1990, IN PRESS IEEE T SYST. WU JS, 1990, RELIAB ENG SYST SAFE, V30, P163, DOI 10.1016/0951-8320(90)90093-3. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1979, ERL M7924 U CAL DEP.}, Number-of-Cited-References = {39}, Times-Cited = {36}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {HH226}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992HH22600002}, DA = {2026-04-14}, } @article{ WOS:000337863100002, Author = {Pishvaee, M. S. and Razmi, J. and Torabi, S. A.}, Title = {An accelerated Benders decomposition algorithm for sustainable supply chain network design under uncertainty: A case study of medical needle and syringe supply chain}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2014}, Volume = {67}, Pages = {14-38}, Month = {JUL}, Abstract = {This paper proposes a multi-objective possibilistic programming model to design a sustainable medical supply chain network under uncertainty considering conflicting economic, environmental and social objectives. Effective social and environmental life cycle assessment-based methods are incorporated in the model to estimate the relevant environmental and social impacts. An accelerated Benders decomposition algorithm utilizing three efficient acceleration mechanisms is devised to cope with computational complexity of solving the proposed model. Computational analysis is also provided by using a medical industrial case study to present the significance of the proposed model as well as the efficiency of the accelerated Benders decomposition algorithm. (C) 2014 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Pishvaee, MS (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Pishvaee, M. S., Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Razmi, J.; Torabi, S. A., Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1016/j.tre.2014.04.001}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Supply chain management; Sustainability; Benders decomposition; Possibilistic programming; Social responsibility; Life cycle assessment}, Keywords-Plus = {REVERSE LOGISTICS NETWORK; LIFE-CYCLE ASSESSMENT; SOCIAL-RESPONSIBILITY; PROGRAMMING-MODEL; MANAGEMENT; GREEN; OPTIMIZATION; FRAMEWORK; RECOVERY; IMPACT}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {pishvaee@iust.ac.ir jrazmi@ut.ac.ir satorabi@ut.ac.ir}, Affiliations = {Iran University Science \& Technology; University of Tehran}, ResearcherID-Numbers = {Pishvaee, Mir Saman/H-3450-2018 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Pishvaee, Mir Saman/0000-0001-6389-6308 Razmi, Jafar/0000-0002-3357-8293 Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {Ahi P, 2013, J CLEAN PROD, V52, P329, DOI 10.1016/j.jclepro.2013.02.018. {[}Anonymous], WORKPL COD COND. {[}Anonymous], 1987, OUR COMMON FUTURE. {[}Anonymous], 2007, INSP GUID IMPL GLOB. {[}Anonymous], 2005, InSafe management of bio-medical sharps waste in India. {[}Anonymous], BAS COD. {[}Anonymous], 2011, SUSTAINABILITY REPOR. {[}Anonymous], 1999, 19994 CPM CHALM U TE. {[}Anonymous], 2001, ECOINDICATOR 99 DAMA. {[}Anonymous], UNDP TECHN NOT. {[}Anonymous], 1998, BUWAL SAFEL ENV SERI. {[}Anonymous], HLTH CAR WAST MAN. {[}Anonymous], PURS STRONG SUST BAL. {[}Anonymous], LIFE CYCLE ASS. {[}Anonymous], 2005, COMPUT MANAG SCI, DOI DOI 10.1007/s10287-004-0020-y. Bare J.C., 2003, J IND ECOL, V6, P49, DOI DOI 10.1162/108819802766269539. 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Rev.}, Doc-Delivery-Number = {AJ7FR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000337863100002}, DA = {2026-04-14}, } @article{ WOS:A1991FG57000006, Author = {KLIR, GJ}, Title = {GENERALIZED INFORMATION-THEORY}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1991}, Volume = {40}, Number = {1}, Pages = {127-142}, Month = {MAR 5}, Abstract = {Generalized information theory is viewed in this paper as an information theory that is liberated from the boundaries of probability theory. After overviewing classical (probabilistic) information theory, the paper examines recent developments regarding nonprobabilistic measures and principles of uncertainty-based information, which form a nucleus of the emerging generalized information theory.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {KLIR, GJ (Corresponding Author), SUNY, THOMAS J WATSON SCH ENGN, DEPT SYST SCI, BINGHAMTON, NY 13901 USA.}, DOI = {10.1016/0165-0114(91)90049-V}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {INFORMATION; UNCERTAINTY; DISSONANCE; NONSPECIFICITY; PROBABILITY THEORY; POSSIBILITY THEORY; DEMPSTER-SHAFTER THEORY; UNCERTAINTY PRINCIPLES}, Keywords-Plus = {FUZZY-SETS; ENTROPY; SPECIFICITY; UNIQUENESS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {ACZEL J, 1975, MEASURES INFORMATION. {[}Anonymous], INFORMATION THEORY A. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {36}, Times-Cited = {69}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {34}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {FG570}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1991FG57000006}, DA = {2026-04-14}, } @article{ WOS:000651353300005, Author = {Haeri, Abdorrrahman and Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Rezaei, Marziehsadat}, Title = {An integrated socially responsible-efficient approach toward health service network design}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2022}, Volume = {319}, Number = {1, SI}, Pages = {463-516}, Month = {DEC}, Abstract = {Despite the fact that medical responses are crucial for saving precious lives during any humanitarian crisis (e.g., the COVID-19 pandemic), healthcare infrastructure in many communities are partially covered or are not covered yet. In order to strengthen the health system response to such crisis, especially in low- to middle-income communities, this paper extends a novel multi-objective model for designing a health service network under uncertainty which simultaneously considers efficiency, social responsibility, and network cost. For efficiency, a modified data envelopment analysis model is introduced and inserted into the proposed model to decrease the inefficiency of healthcare facilities belonging to the different tiers of the health system. For social responsibility, two measures of job creation and balanced development are incorporated into the extended model. This is not only considered to cope with the increased numbers of patients and disaster victims to healthcare facilities but also to deal with the challenge of the economy and the livelihoods of people during the crisis. Moreover, a novel mixed possibilistic-flexible robust programming (MPFRP) approach is developed to protect the considered network against uncertainty. To show the applicability of the extended model, a real-world case study is presented. The results reveal that contrary to fuzzy programming models, the MPFRP performs well in terms of social responsibility (72\%), cost (8\%), and efficiency (28\%) and is able to make a trade-off between these three measures. In this study, the resilience level of the designed network is not addressed while disregarding any short-term stoppage owing to internal or external sources of disruption in designing may bring about a considerable loss.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Haeri, A; Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Tehran 16846, Iran. Haeri, Abdorrrahman; Hosseini-Motlagh, Seyyed-Mahdi; Samani, Mohammad Reza Ghatreh; Rezaei, Marziehsadat, Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Tehran 16846, Iran.}, DOI = {10.1007/s10479-021-04066-4}, EarlyAccessDate = {MAY 2021}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Humanitarian operations; Health service network; Data envelopment analysis; Social responsibility; Multi-objective optimization; Mixed possibilistic-flexible robust programming}, Keywords-Plus = {SUPPLY CHAIN NETWORK; MODEL; DISRUPTIONS; HOSPITALS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {ahaeri@iust.ac.ir motlagh@iust.ac.ir mr\_samani@ind.iust.ac.ir m.rezaee90@yahoo.com}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Ghatreh Samani, Mohammad Reza/AAS-3972-2021 Haeri, Abdorrahman/S-8933-2018}, ORCID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X Ghatreh Samani, Mohammad Reza/0000-0003-2918-4432 Haeri, Abdorrahman/0000-0003-0610-8998}, Cited-References = {Acar M, 2019, TRANSPORT RES E-LOG, V130, P273, DOI 10.1016/j.tre.2019.09.007. {[}Anonymous], 2018, The Palgrave Handb. 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Xiang YT, 2020, INT J BIOL SCI, V16, P1741, DOI 10.7150/ijbs.45072. Yager R. R., 1979, Proceedings of the 1978 IEEE Conference on Decision and Control Including the 17th Symposium on Adaptive Processes, P1435. YAGER RR, 1981, INFORM SCIENCES, V24, P143, DOI 10.1016/0020-0255(81)90017-7. Zahiri B, 2017, TRANSPORT RES E-LOG, V103, P109, DOI 10.1016/j.tre.2017.04.009. Zarrinpoor N, 2017, COMPUT IND ENG, V109, P130, DOI 10.1016/j.cie.2017.04.036. Zhalechian M, 2016, TRANSPORT RES E-LOG, V89, P182, DOI 10.1016/j.tre.2016.02.011.}, Number-of-Cited-References = {45}, Times-Cited = {15}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {35}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {X8V0C}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000651353300005}, OA = {Green Submitted, Bronze}, DA = {2026-04-14}, } @article{ WOS:000819853300004, Author = {Ganesan, S. and Uthayakumar, R.}, Title = {Optimisation of a sustainable fuzzy EPQ inventory model using sextic equation}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2022}, Volume = {16}, Number = {4}, Pages = {442-478}, Abstract = {We develop a fuzzy EPQ inventory model to achieve sustainability and profit maximisation. Cost measures are included at every stage of the production and inventory process to handle carbon emissions safely. Fuzzy number representation of the input parameters helps to accommodate uncertainties in the inventory decision-making process. The fuzzy net profit function's ambiguity level determines the degree of uncertainty in the net profit. Descartes' rule of signs is used in a sextic equation to establish a solution to the optimal length of the production run. The numerical results show that increasing ambiguity in the fuzzy profit function will decrease the net profit. Accuracy in predicting production cost, setup cost, and annual demand is essential as the net profit is more sensitive to these parameters. A multivariate regression equation is fitted to estimate a possible crisp net profit from the corresponding fuzzy net profit for given demand and production rates. {[}Submitted: 15 June 2019; Accepted: 24 April 2021]}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Ganesan, S (Corresponding Author), Govt Polytech Coll, Dept Math, Usilampatti 625537, Tamil Nadu, India. Ganesan, S.; Uthayakumar, R., Govt Polytech Coll, Dept Math, Usilampatti 625537, Tamil Nadu, India.}, DOI = {10.1504/EJIE.2022.123729}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {sustainability; EPQ inventory; trapezoidal fuzzy number; Descartes' rule of signs}, Keywords-Plus = {PRODUCTION QUANTITY MODEL; POSSIBILISTIC PROGRAMMING-MODEL; TRADE-CREDIT; SUPPLY CHAIN; IMPERFECT QUALITY; ORDER QUANTITY; NETWORK DESIGN; SYSTEM; EMISSION; PRODUCTS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {ganeshindia82@gmail.com uthayagri@gmail.com}, ResearcherID-Numbers = {Uthayakumar, R/ABF-9866-2020 }, ORCID-Numbers = {Uthayakumar, R/0000-0002-1956-758X Subburaj, Ganesan/0000-0002-9045-0050}, Funding-Acknowledgement = {University Grants Commission - Special Assistance Program (DSA-I), Government of India, New Delhi}, Funding-Text = {This work was supported by the University Grants Commission - Special Assistance Program (DSA-I), Government of India, New Delhi.}, Cited-References = {Cunha LRA, 2018, INT J PROD RES, V56, P6279, DOI 10.1080/00207543.2018.1445878. {[}Anonymous], 2015, DIABETES CARE, V38, pS1, DOI 10.2337/dc15-S001. 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Eng.}, Doc-Delivery-Number = {2P6MT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000819853300004}, DA = {2026-04-14}, } @article{ WOS:000243667800011, Author = {de Andres-Sanchez, Jorge}, Title = {Claim reserving with fuzzy regression and Taylor's geometric separation method}, Journal = {INSURANCE MATHEMATICS \& ECONOMICS}, Year = {2007}, Volume = {40}, Number = {1}, Pages = {145-163}, Month = {JAN}, Abstract = {Claim provisions are crucial for the financial stability of insurance companies. This is why actuarial literature has proposed several claim reserving methods, which are usually based on statistical concepts. However, the mutant and uncertain behaviour of insurance environments does not make it advisable to use a wide database when calculating claim reserves, and so it in fact makes the use of Fuzzy Set Theory very attractive. This paper develops a claim reserving method that combines Ishibuchi and Nii's extension {[}Ishibuchi, H., Nii, M., 2001. Fuzzy regression using asymmetric fuzzy coefficients and fuzzified neural networks. Fuzzy Sets and Systems 119, 273-290] to the fuzzy regression methods described by Tanaka et al. {[}Tanaka, H., Uejima, S., Asai, K., 1982. Linear regression analysis with fuzzy model. IEEE Trans. Man Cybernetics 41, 389-396], Tanaka {[}Tanaka, H., 1987. Fuzzy data analysis by possibilistic linear models. Fuzzy Sets and Systems 24, 363-375], Savic and Pedrycz {[}Savic, D., Predrycz, W., 1992. Fuzzy linear models: construction and evaluation. In: Fuzzy Regression Analysis. Physica-Verlag, Heidelberg, pp. 91-100] and Tanaka and Ishibuchi (1992) {[}Tanaka, H., Ishibuchi, H., 1992. A possibilistic regression analysis based on linear programming. In: Fuzzy Regression Analysis. Physica-Verlag, Heidelberg, pp. 47-60] with the scheme for claim reserving proposed by Taylor (1978) {[}Taylor, G., 1978. Statistical testing of a non-life insurance run-off model. In: Proceedings of the First Meeting of the Contact Group Actuarial Sciences, pp. 37-64]. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {de Andrés-Sánchez, J (Corresponding Author), Fac Econ \& Business Studies, Avinguda Univ 1, Reus 43204, Spain. Fac Econ \& Business Studies, Reus 43204, Spain.}, DOI = {10.1016/j.insmatheco.2006.03.004}, ISSN = {0167-6687}, EISSN = {1873-5959}, Keywords = {claim provisions; run-off triangle; Taylor's separation method; fuzzy logic; fuzzy numbers; fuzzy regression}, Keywords-Plus = {LIABILITY; MODEL; LOGIC; RISK}, Research-Areas = {Business \& Economics; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics \& Probability}, Author-Email = {jorge.deandres@urv.net}, Cited-References = {{[}Anonymous], FUZZY REGRESSION ANA. {[}Anonymous], CLAIMS RES MAN. {[}Anonymous], SURVEYS ACTUARIAL ST. {[}Anonymous], FUZZY SETS SYSTEMS. BABAD YM, 1994, 4TH AFIR - ACTUARIAL APPROACH FOR FINANCIAL RISKS INTERNATIONAL COLLOQUIUM, VOLS 1-3, P111. BABAD YM, 1995, 25 T INT C ACT 2 BR, P23. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. Benjamin S., 1986, J I ACTUARIES, V113, P197. 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Econ.}, Doc-Delivery-Number = {128OS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000243667800011}, DA = {2026-04-14}, } @article{ WOS:000712775800004, Author = {Pourmohammadi, Pardis and Tavakkoli-Moghaddam, Reza and Rahimi, Yaser and Triki, Chefi}, Title = {Solving a hub location-routing problem with a queue system under social responsibility by a fuzzy meta-heuristic algorithm}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2023}, Volume = {324}, Number = {1-2, SI}, Pages = {1099-1128}, Month = {MAY}, Abstract = {This paper presents a new multi-objective mathematical model for the hub location and routing problem under uncertainty in flows, costs, times, and number of job opportunities. This model aims at minimizing the total transportation cost consisting of routing and fixed cost and maximizing the employment and regional development as social responsibility. An M/M/c/K queue system is applied to estimate the waiting time at hub nodes and maximize the responsiveness. Also, a fuzzy queuing method is applied to model the uncertainties in this network. A powerful evolutionary meta-heuristic algorithm based on fuzzy invasive weed optimization, variable neighborhood search, and game theory is developed to solve the introduced model and obtain near-optimal Pareto solutions. Many experiments as well as a real transportation case-study show the superiority of the proposed approaches compared to the state-of-the-art algorithm.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Tavakkoli-Moghaddam, R (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Triki, C (Corresponding Author), Univ Kent, Kent Business Sch, Canterbury, Kent, England. Triki, C (Corresponding Author), Univ Salento, Dept Engn Innovat, Lecce, Italy. Pourmohammadi, Pardis; Tavakkoli-Moghaddam, Reza; Rahimi, Yaser, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Triki, Chefi, Univ Kent, Kent Business Sch, Canterbury, Kent, England. Triki, Chefi, Univ Salento, Dept Engn Innovat, Lecce, Italy.}, DOI = {10.1007/s10479-021-04299-3}, EarlyAccessDate = {OCT 2021}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Hub location-routing problem; Queue system; Responsiveness; Social responsibility; Fuzzy meta-heuristic algorithm}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; SPOKE NETWORK DESIGN; SUPPLY CHAIN; BENDERS DECOMPOSITION; PROTECTION MODEL; INTEGER-PROGRAM; BACKUP HUBS; ROBUST; OPTIMIZATION; UNCERTAINTY}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {pardis.pour@ut.ac.ir tavakoli@ut.ac.ir yaser.rahimi@ut.ac.ir chefi.triki@unisalento.it}, Affiliations = {University of Tehran; University of Kent; University of Salento}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Rahimi, Yaser/X-3781-2018 }, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Rahimi, Yaser/0000-0002-0292-9695 Triki, Chefi/0000-0002-8750-2470}, Cited-References = {Ahmadi-Javid A, 2012, ENG OPTIMIZ, V44, P637, DOI 10.1080/0305215X.2011.600756. 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Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002.}, Number-of-Cited-References = {65}, Times-Cited = {19}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {37}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {F7TB6}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000712775800004}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000251890900004, Author = {Rong, Aiying and Lahdelma, Risto}, Title = {Fuzzy chance constrained linear programming model for optimizing the scrap charge in steel production}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2008}, Volume = {186}, Number = {3}, Pages = {953-964}, Month = {MAY 1}, Abstract = {Optimizing the charge in secondary steel production is challenging because the chemical composition of the scrap is-highly uncertain. The uncertainty can cause a considerable risk of the scrap mix failing to satisfy the composition requirements for the final product. In this paper, we represent the uncertainty based on fuzzy set theory and constrain the failure risk based on a possibility measure. Consequently, the scrap charge optimization problem is modeled as a fuzzy chance constrained linear programming problem. Since the constraints of the model mainly address the specification of the product, the crisp equivalent of the fuzzy constraints should be less relaxed than that purely based on the concept of soft constraints. Based on the application context we adopt a strengthened version of soft constraints to interpret fuzzy constraints and form a crisp model with consistent and compact constraints for solution. Simulation results based on realistic data show that the failure risk can be managed by proper combination of aspiration levels and confidence factors for defining fuzzy numbers. There is a tradeoff between failure risk and material cost. The presented approach applies also for other scrap-based production processes. (c) 2007 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Rong, A (Corresponding Author), Tech Univ Denmark, Dept Mfg Engn \& Management, Bldg 425, DK-2800 Lyngby, Denmark. Rong, Aiying, Tech Univ Denmark, Dept Mfg Engn \& Management, DK-2800 Lyngby, Denmark. Lahdelma, Risto, Univ Turku, Dept Informat Technol, FIN-20520 Turku, Finland.}, DOI = {10.1016/j.ejor.2007.02.017}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {fuzzy sets; linear programming; chance constraint; scrap charge optimization; steel production}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {aiying.rong@gmail.com}, Affiliations = {Technical University of Denmark; University of Turku}, ResearcherID-Numbers = {Lahdelma, Risto/E-9458-2010 Rong, Aiying/H-8714-2013}, ORCID-Numbers = {Lahdelma, Risto/0000-0001-7882-2918 Rong, Aiying/0000-0002-7247-1026}, Cited-References = {{*}AFS, 1986, LEAST COST CHARG. Agpak K, 2007, EUR J OPER RES, V180, P1098, DOI 10.1016/j.ejor.2006.04.042. {[}Anonymous], AM FOUNDRYMENS SOC T. Banks Jerry., 1984, DISCRETE EVENT SYSTE. CANZ T, 1996, WP96132 INT I APPL S. 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WERNERS B, 1987, EUR J OPER RES, V31, P342, DOI 10.1016/0377-2217(87)90043-9. WILSON E, 2000, INTELLIGENT TECHNOLO. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {26}, Times-Cited = {94}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {40}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {244UN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000251890900004}, DA = {2026-04-14}, } @article{ WOS:000356140000006, Author = {Li, Yonggang and Guo, Peijun}, Title = {Possibilistic individual multi-period consumption investment models}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2015}, Volume = {274}, Pages = {47-61}, Month = {SEP 1}, Abstract = {In this paper, we consider a multi-period consumption investment problem with partially known information for an individual. We emphasize the fact that for an individual there is one and only one result will appear for his/her consumption investment decision in each period. Different from the existing multi-period consumption investment models which basically maximize the expected utility, we utilize the one-shot decision theory for individual multi-period consumption investment problems. In each period, the individual chooses one state (scenario) for each strategy with considering the satisfaction of the outcome and its possibility. The selected state is called the focus point. The multi-period consumption investment decision models with twelve types of focus points are built to maximize the sum of discounted consumption over the whole process (lifetime) for twelve types of individuals and economic insights are gained by the theoretical analysis. The proposed models are scenario-based decision models which provide a fundamental alternative to analyze individual multi-period consumption investment behavior. (C) 2015 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Guo, PJ (Corresponding Author), Yokohama Natl Univ, Fac Business Adm, Hodogaya Ku, 79-4 Tokiwadai, Yokohama, Kanagawa 2408501, Japan. Li, Yonggang; Guo, Peijun, Yokohama Natl Univ, Fac Business Adm, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan.}, DOI = {10.1016/j.fss.2015.01.005}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibility distribution; Decision making; One-shot decision theory; Scenario-based decision theory; Focus point; Multistage decision problem; Dynamic programming; Consumption investment problem}, Keywords-Plus = {LIFETIME PORTFOLIO SELECTION; TIME MODEL; STRATEGY; RISK}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {lygljing@gmail.com guo@ynu.ac.jp}, Affiliations = {Yokohama National University}, ResearcherID-Numbers = {Guo, Peijun/H-4770-2017}, Funding-Acknowledgement = {Grants-in-Aid for Scientific Research {[}15K03599] Funding Source: KAKEN}, Cited-References = {{[}Anonymous], INT J INF DECIS SCI. 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Su J, 2006, LECT NOTES COMPUT SC, V4113, P919, DOI 10.1007/11816157\_111.}, Number-of-Cited-References = {25}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {CK3TZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000356140000006}, DA = {2026-04-14}, } @article{ WOS:000185638500004, Author = {Carlsson, C and Fullér, R}, Title = {A fuzzy approach to real option valuation}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2003}, Volume = {139}, Number = {2}, Pages = {297-312}, Month = {OCT 16}, Abstract = {To have a real option means to have the possibility for a certain period to either choose for or against making an investment decision, without binding oneself up front. The real option rule is that one should invest today only if the net present value is high enough to compensate for giving up the value of the option to wait. Because the option to invest loses its value when the investment is irreversibly made, this loss is an opportunity cost of investing. The main question that a management group must answer for a deferrable investment opportunity is: How long do we postpone the investment, if we can postpone it, up to T time periods? In this paper we shall introduce a (heuristic) real option rule in a fuzzy setting, where the present values of expected cash flows and expected costs are estimated by trapezoidal fuzzy numbers. We shall determine the optimal exercise time by the help of possibilistic mean value and variance of fuzzy numbers. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Carlsson, C (Corresponding Author), Abo Akad Univ, IAMSR, Lemminkainengatan 14B, FIN-20520 Turku, Finland. Abo Akad Univ, IAMSR, FIN-20520 Turku, Finland. Eotvos Lorand Univ, Dept Operat Res, H-1518 Budapest, Hungary.}, DOI = {10.1016/S0165-0114(02)00591-2}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {option pricing; real options; trapezoidal fuzzy numbers; possibilistic mean value; possibilistic variance}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {christer.carlsson@abo.fi rfuller@cs.elte.hu}, Affiliations = {Abo Akademi University; Eotvos Lorand University}, ResearcherID-Numbers = {Fullér, Róbert/C-3963-2011}, ORCID-Numbers = {Fullér, Róbert/0000-0002-4146-0885}, Cited-References = {Alleman JJ, 1999, NEW INVESTMENT THEOR, DOI DOI 10.1007/B102437. {[}Anonymous], CYBERNETICS SYSTEMS. Balasubramanian P, 1999, J STRATEGIC INF SYST, V9, P39, DOI 10.1016/S0963-8687(00)00038-X. Benaroch M, 2000, MIS QUART, V24, P197, DOI 10.2307/3250936. BLACK F, 1973, J POLIT ECON, V81, P637, DOI 10.1086/260062. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Dubois D., 1988, POSSIBILITY THEORY. Leslie K.J., 1997, The McKinsey Quarterly, V3, P5. Luehrman TA, 1998, HARVARD BUS REV, V76, P51. MERTON RC, 1973, BELL J ECON, V4, P141, DOI 10.2307/3003143. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {11}, Times-Cited = {163}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {35}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {727CK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000185638500004}, DA = {2026-04-14}, } @article{ WOS:A1997XB15000008, Author = {Criado, F and Gachechiladze, T}, Title = {Entropy of fuzzy events}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1997}, Volume = {88}, Number = {1}, Pages = {99-106}, Month = {MAY 16}, Abstract = {In order to elaborate a theory of communication which could be useful for designing a great variety of real communication systems it is necessary to consider the superposition of two kinds of uncertainties: probabilistic and possibilistic. For example Zadeh's general formula for the entropy of fuzzy random events takes into account these two basic uncertainties. In this paper we consider Zadeh's entropy, structurally related with this quantity a weighted entropy of De Luca and Termini and also the genetic connection of these entropies with Shannon's entropy function. (C) 1997 Elsevier Science B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Criado, F (Corresponding Author), UNIV MALAGA, DEPT STAT, E-29071 MALAGA, SPAIN. TBILISI STATE UNIV, DEPT APPL MATH \& COMP SCI, GE-380086 TBILISI, GEORGIA.}, DOI = {10.1016/S0165-0114(96)00073-5}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {measure of information; membership functions}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Ivane Javakhishvili Tbilisi State University}, Cited-References = {CRIADO F, IN PRESS FUZZY RANDO. DELUCA A, 1972, INFORM CONTROL, V20, P301, DOI 10.1016/S0019-9958(72)90199-4. FINSTEIN A, 1958, FDN INFORMATION THEO. GACHECHILADZE T, 1989, APPL MATH, V139. GACHECHILADZE T, 1988, APPL MATH, V133. HIROTO K, 1982, FUZZY INFORMATION DE. JUMARIE G, 1975, INT J SYST SCI, V6, P249, DOI 10.1080/00207727508941814. Kaufmann A., 1977, Introduction a la theorie des sous-ensemles flous. KLIR GJ, 1987, FUZZY SET SYST, V24, P197, DOI 10.1016/0165-0114(87)90090-X. KULLBACK S, 1958, INFORMATION THEORY S. ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {12}, Times-Cited = {15}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {XB150}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1997XB15000008}, DA = {2026-04-14}, } @article{ WOS:000542875100001, Author = {Attari, Mahdi Yousefi Nejad and Torkayesh, Ali Ebadi and Malmir, Behnam and Jami, Ensiyeh Neyshabouri}, Title = {Robust possibilistic programming for joint order batching and picker routing problem in warehouse management}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2021}, Volume = {59}, Number = {14}, Pages = {4434-4452}, Month = {JUL 18}, Abstract = {Decisions made for designing and operating a warehouse system are of great significance. These operational decisions are strongly affected by total logistics costs, including investment and direct operating costs. The number of orders made by customers in the logistics section of warehouse management is very high because the number, type of products and items ordered by different customers vary broadly. However, machines layout for picking up products at logistics centres is minimal, inflexible, and, in some cases, inconclusive. In this study, we address joint order batching procedures of orders considering picker routing problem as a mixed-integer programming model. Extensive numerical experiments were generated in small, medium, and large sizes. In order to consider the uncertainty of parameters, we applied robust possibilistic programming for this problem. Three different meta-heuristic algorithms; genetic algorithm, particle swarm optimisation algorithm, and honey artificial bee colony algorithms are used as solution approaches to solve the formulated model. The performance of solution approaches over the problem was analysed using several test indexes. In all three group examples, there was no significant difference among mean values of the objective function, while there was a remarkable difference among computing times.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Attari, MYN (Corresponding Author), Islamic Azad Univ, Dept Ind Engn, Bonab Branch, Bonab, Iran. Attari, Mahdi Yousefi Nejad, Islamic Azad Univ, Dept Ind Engn, Bonab Branch, Bonab, Iran. Torkayesh, Ali Ebadi, Sabanci Univ, Fac Engn \& Nat Sci, Istanbul, Turkey. Malmir, Behnam, Univ Virginia, Dept Syst \& Informat Engn, Charlottesville, VA USA. Jami, Ensiyeh Neyshabouri, Org Ind Mine \& Trade, Expert Ind, East Azarbatjan, Iran. Malmir, Behnam, Virginia Tech, Dept Business Informat Technol, Pamplin Coll Business, Blacksburg, VA USA.}, DOI = {10.1080/00207543.2020.1766712}, EarlyAccessDate = {MAY 2020}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {joint order batching; picker routing; genetic algorithm; particle swarm optimisation algorithm; artificial bee colony algorithms; warehouse design; warehousing systems}, Keywords-Plus = {TABU SEARCH; TRAVEL DISTANCE; PICKING; CLASSIFICATION; OPTIMIZATION; ALGORITHMS; DEMAND; HYBRID}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {mahdi\_108108@yahoo.com}, Affiliations = {Islamic Azad University; Sabanci University; University of Virginia; Virginia Polytechnic Institute \& State University}, ResearcherID-Numbers = {Ebadi Torkayesh, Ali/ABI-8024-2020 yousefi nejad attari, mahdi/AIE-2939-2022}, ORCID-Numbers = {Ebadi Torkayesh, Ali/0000-0002-1012-4213 yousefi nejad attari, mahdi/0000-0002-5219-042X}, Cited-References = {{[}Anonymous], 2005, TR06 ERS U. {[}Anonymous], MEDI CINE BALTIMORE. {[}Anonymous], EUROPEAN J OPERATION. {[}Anonymous], NUCL ACIDS RES. {[}Anonymous], 2016 2 IEEE INT C. {[}Anonymous], 1942, INT C NEURAL NETWORK. 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Yu MF, 2009, EUR J OPER RES, V198, P480, DOI 10.1016/j.ejor.2008.09.011. Zulj I, 2018, EUR J OPER RES, V264, P653, DOI 10.1016/j.ejor.2017.06.056.}, Number-of-Cited-References = {44}, Times-Cited = {42}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {55}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {TA8JU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000542875100001}, DA = {2026-04-14}, } @article{ WOS:A1992JK84500003, Author = {LAI, YJ and HWANG, CL}, Title = {A NEW APPROACH TO SOME POSSIBILISTIC LINEAR-PROGRAMMING PROBLEMS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1992}, Volume = {49}, Number = {2}, Pages = {121-133}, Month = {JUL 27}, Abstract = {In practice, the unit costs/profits of new products or new projects, the lending and borrowing interest rates, and cash flows are always imprecise. We provide an auxiliary multiple objective linear programming model to solve a linear programming problem with imprecise objective and/or constraint coefficients. Our strategy is to maximize the most possible value of the imprecise profit. At the same time, we would like to minimize the risk of obtaining lower profit and maximize the possibility of obtaining higher profit. This strategy is equivalent to the practical considerations of financial problems. In this paper, a numeric investment problem is solved for illustrating the new approach.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {KANSAS STATE UNIV AGR \& APPL SCI, DEPT IND ENGN, MANHATTAN, KS 66506 USA.}, DOI = {10.1016/0165-0114(92)90318-X}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {POSSIBILISTIC LINEAR PROGRAMMING; MULTIPLE OBJECTIVE LINEAR PROGRAMMING; RISK}, Keywords-Plus = {FUZZY NUMBERS; OPTIMIZATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Kansas State University}, Cited-References = {BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. BUCKLEY JJ, 1988, FUZZY SET SYST, V26, P135, DOI 10.1016/0165-0114(88)90013-9. Delgado M., 1987, Control and Cybernetics, V16, P113. 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TANAKA H, 1984, IEEE T SYST MAN CYB, V14, P325, DOI 10.1109/TSMC.1984.6313219. Tanaka H., 1984, Control and Cybernetics, V13, P185. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {19}, Times-Cited = {313}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {23}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {JK845}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992JK84500003}, DA = {2026-04-14}, } @article{ WOS:000242306900001, Author = {Rebille, Yann}, Title = {Decision making over necessity measures through the Choquet integral criterion}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {23}, Pages = {3025-3039}, Month = {DEC 1}, Abstract = {We consider a decision maker who ranks necessity measures according to their Choquet's expected utilities. We provide an axiomatization of such preferences. If the decision maker follows our set of axioms then there exists a fuzzy set such that any necessity measure can be reduced to a bet on being perfectly informed of the state which occurs or being totally ignorant, where the degree of information he will get is given by its Choquet expectation of the fuzzy set. This approach is similar to von Neuman and Morgenstern's method under risk where a rational decision maker should evaluate a lottery according to its expected utility. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Rébillé, Y (Corresponding Author), Univ Paris 01, CERMSEM, 106-112 Bd Hop, F-75647 Paris 13, France. Univ Paris 01, CERMSEM, F-75647 Paris 13, France.}, DOI = {10.1016/j.fss.2006.06.001}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {non-additive measures; possibility theory; Choquet integral}, Keywords-Plus = {EXPECTED UTILITY; REPRESENTATIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yann.rebille@noos.fr}, Affiliations = {heSam Universite; Universite Pantheon-Sorbonne}, ResearcherID-Numbers = {rebille, yann/HKM-7483-2023}, ORCID-Numbers = {rebille, yann/0000-0002-6475-9978}, Cited-References = {CHATEAUNEUF A, 1989, MATH SOC SCI, V17, P263, DOI 10.1016/0165-4896(89)90056-5. Choquet G., 1954, ANN LINSTITUT FOURIE, V5, P131, DOI {[}DOI 10.5802/AIF.53, 10.5802/aif.53]. Davey B.A., 1990, INTRO LATTICES ORDER. DELLACHERIE C, 1970, LECT NOTES MATH, V191. Denneberg D., 1994, NONADDITIVE MEASURE. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {26}, Times-Cited = {26}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {109KN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000242306900001}, DA = {2026-04-14}, } @article{ WOS:000277651000006, Author = {Sakalli, Umit Sami and Baykoc, Omer Faruk and Birgoren, Burak}, Title = {A possibilistic aggregate production planning model for brass casting industry}, Journal = {PRODUCTION PLANNING \& CONTROL}, Year = {2010}, Volume = {21}, Number = {3}, Pages = {319-338}, Abstract = {This article discusses a possibilistic aggregate production planning (APP) model for blending problem in a brass factory; the problem computing optimal amounts of raw materials for the total production of several types of brass in a planning period. The model basically has a multi-blend model formulation in which demand quantities, percentages of the ingredient in some raw materials, cost coefficients, minimum and maximum procurement amounts are all imprecise and have triangular possibility distributions. A mathematical model and a solution algorithm are proposed for solving this model. In the proposed model, the Lai and Hwang's fuzzy ranking concept is relaxed by using `Either-or' constraints. An application of the brass casting APP model to a brass factory demonstrates that the proposed model successfully solves the multi-blend problem for brass casting and determines the optimal raw material purchasing policies.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sakalli, ÜS (Corresponding Author), Kirikkale Univ, Dept Ind Engn, TR-71451 Kirikkale, Turkey. Sakalli, Umit Sami; Birgoren, Burak, Kirikkale Univ, Dept Ind Engn, TR-71451 Kirikkale, Turkey. Baykoc, Omer Faruk, Gazi Univ, Dept Ind Engn, TR-06570 Ankara, Turkey.}, DOI = {10.1080/09537280903449438}, Article-Number = {PII 920256269}, ISSN = {0953-7287}, EISSN = {1366-5871}, Keywords = {blending; possibilistic programming; aggregate production planning; brass casting}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; FORMULATION; UNCERTAINTY; COST}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {ssakalli@kku.edu.tr}, Affiliations = {Kirikkale University; Gazi University}, ResearcherID-Numbers = {SAKALLI, Umit Sami/JPL-1015-2023 Birgoren, Burak/GRS-0458-2022}, ORCID-Numbers = {Birgoren, Burak/0000-0001-9045-6092}, Cited-References = {APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {57}, Times-Cited = {18}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {38}, Journal-ISO = {Prod. Plan. Control}, Doc-Delivery-Number = {595YT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000277651000006}, DA = {2026-04-14}, } @article{ WOS:000088131200003, Author = {Pani, AK and Bhattacharjee, GP}, Title = {Uncertanity in temporal representation and reasoning}, Journal = {INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS}, Year = {1999}, Volume = {73}, Number = {1}, Pages = {37-54}, Abstract = {The paper presents an approach of managing temporal knowledge under imprecision or uncertainty, based on possibility theory and fuzzy logic. Temporal uncertainties are modelled in terms of possibility theory with imprecise time instants, imprecise time intervals and imprecise time durations. hn integrated approach has been given for combining qualitative and quantitative temporal information using fuzzy logic.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Bhattacharjee, GP (Corresponding Author), Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India. Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India. XLRI, Informat Technol \& Syst Area, Jamshedpur 831001, Bihar, India.}, DOI = {10.1080/00207169908804879}, ISSN = {0020-7160}, EISSN = {1029-0265}, Keywords = {temporal reasoning; possibility theory; fuzzy sets; qualitative and quantitative representation; linguistic variables}, Keywords-Plus = {KNOWLEDGE; TIME}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur; XLRI -Xavier School of Management}, Cited-References = {ALLEN JF, 1984, ARTIF INTELL, V23, P123, DOI 10.1016/0004-3702(84)90008-0. ALLEN JF, 1983, COMMUN ACM, V26, P832, DOI 10.1145/182.358434. {[}Anonymous], 1987, P 10 INT JOINT C ART. {[}Anonymous], INFORMATION CONTROL. BARRO S, 1994, FUZZY SET SYST, V61, P153, DOI 10.1016/0165-0114(94)90231-3. CHEN ZQ, 1992, 4 INT C SEKE CAYR IT. DEAN TL, 1987, ARTIF INTELL, V32, P1, DOI 10.1016/0004-3702(87)90061-0. 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TSENG EPK, 1987, P 10 IJCAI. VITEK M, P IFAC 83 MARS FRANC, P159. Zadeh L., 1975, Synthese, V30, P407, DOI {[}10.1007/BF00485052, DOI 10.1007/BF00485052]. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zimmerman H.J., 1985, Fuzzy Set Theory and Its Application, VFirst.}, Number-of-Cited-References = {25}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Int. J. Comput. Math.}, Doc-Delivery-Number = {333LF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000088131200003}, DA = {2026-04-14}, } @article{ WOS:000486006500001, Author = {Haeri, Abdorrahman and Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Rezaei, Marziehsadat}, Title = {A mixed resilient-efficient approach toward blood supply chain network design}, Journal = {INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH}, Year = {2020}, Volume = {27}, Number = {4, SI}, Pages = {1962-2001}, Month = {JUL}, Abstract = {Unlike its inherent beneficial attributes, the blood supply chain is very complex due to its uncertain nature and irregular donation besides a high vulnerability to disruptions. In this regard, this study provides a multi-objective integrated resilient-efficient model to design a blood supply chain network under uncertainty. To evaluate the efficiency, an augmented form of the data envelopment analysis model is incorporated into the extended model. On the other hand, to improve supply chain resilience, different resiliency measures as optimization tools are introduced and inserted into the considered network. As blood donors have a main role in the blood supply chain, this paper undertakes motivational social aspects to stimulate blood donation for reducing possible shortages. Furthermore, to handle the multi-objective problem, an interactive fuzzy approach is utilized. Finally, to indicate the applicability of the extended model and its solution approaches, a case study is provided considering realistic data. The results revealed that simultaneously considering all three measures of efficiency, resilience, and cost can assist in improvement of blood supply chain network design and a trade-off among these three measures can be set by decision maker's preferences.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Haeri, A (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Haeri, Abdorrahman; Hosseini-Motlagh, Seyyed-Mahdi; Samani, Mohammad Reza Ghatreh; Rezaei, Marziehsadat, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1111/itor.12714}, EarlyAccessDate = {SEP 2019}, ISSN = {0969-6016}, EISSN = {1475-3995}, Keywords = {blood supply chain; resiliency; efficiency; social aspect; uncertainty; interactive fuzzy approach}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; ROBUST OPTIMIZATION; MODEL; PRODUCTS; SYSTEMS; DEMAND}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {ahaeri@iust.ac.ir motlagh@iust.ac.ir mr\_samani@ind.iust.ac.ir m.rezaee90@yahoo.com}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Ghatreh Samani, Mohammad Reza/AAS-3972-2021 Haeri, Abdorrahman/S-8933-2018}, ORCID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X Ghatreh Samani, Mohammad Reza/0000-0003-2918-4432 Rezaei, Marziehsadat/0000-0002-8390-1044 Haeri, Abdorrahman/0000-0003-0610-8998}, Cited-References = {Abdulwahab U, 2014, COMPUT IND ENG, V78, P259, DOI 10.1016/j.cie.2014.07.017. 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Res.}, Doc-Delivery-Number = {KL1IS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000486006500001}, DA = {2026-04-14}, } @article{ WOS:000523602300010, Author = {Akbarpour, Mina and Torabi, S. Ali and Ghavamifar, Ali}, Title = {Designing an integrated pharmaceutical relief chain network under demand uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2020}, Volume = {136}, Month = {APR}, Abstract = {This paper addresses an integrated relief network design problem for pharmaceutical items. The proposed bi-objective model accounts for perishability of pharmaceutical items, mobility of relief facilities, and benefits from a cooperative coverage mechanism in designing the network. A min-max robust model is developed to tackle the demand uncertainty. Several numerical experiments are conducted to explore the performance of the robust model. Also, by conducting a real case study, useful managerial insights are derived through performing several sensitivity analyses. The numerical results reveal that using the min-max robust model enhances the pharmaceutical relief network's effectiveness and efficiency considerably.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Akbarpour, Mina; Torabi, S. Ali; Ghavamifar, Ali, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1016/j.tre.2020.101867}, Article-Number = {101867}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Humanitarian logistics; Pharmaceutical relief items; Perishability; Multi-objective programming; Robust optimization}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; SUPPLY CHAIN; DISASTER RELIEF; OPTION CONTRACT; ROBUST OPTIMIZATION; EMERGENCY SUPPLIES; LOGISTICS NETWORK; DISRUPTION RISKS; HEALTH-CARE; MODEL}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {mina.akbarpour@ut.ac.ir satorabi@ut.ac.ir Ali.ghavamifar@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Torabi, S./E-1078-2018 Ghavamifar, Ali/Y-2231-2019}, ORCID-Numbers = {Akbarpour, Mina/0009-0005-7561-8838 Ghavamifar, Ali/0000-0002-0455-0929}, Cited-References = {Ahmadi Alireza, 2018, J Inj Violence Res, V10, P1, DOI {[}10.52689/higea.v10i1.174, 10.5249/jivr.v10i1.1049]. 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Rev.}, Doc-Delivery-Number = {KZ9TS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000523602300010}, DA = {2026-04-14}, } @article{ WOS:001097379800001, Author = {Guo, Yurong and Shi, Quan and Wang, Yadong and Song, Mingchang and Wu, Weiyi}, Title = {A scenario-based robust possibilistic-flexible programming model for responsive supply chain network design with a performance-oriented solution methodology}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {238}, Number = {D}, Month = {MAR 15}, Abstract = {This study addresses an integrated multi-objective responsive supply chain network optimization problem under hybrid uncertain business environment and optimal scheme selection. In addition to economic performance, delivery time and delivery reliability, as responsiveness indicators, are introduced into the multi-objective mixed-integer linear programming model. To deal with hybrid uncertainties caused by various scenarios, parameters, and flexible constraints, a scenario-based robust possibilistic flexible programming approach is extended. Moreover, a performance-oriented solution method is developed to solve the multi-objective optimization problem. The method integrates meta-heuristic and entropy-weighted TOPSIS to perform performance evaluation together with iteration optimization. The set of non-dominant solutions obtained by evaluation guide the iteration process. The numerical case verifies the effectiveness and efficiency of the proposed model, uncertainty technical and solution method. Interestingly, Pareto optimal solution set and its sort obtained by evaluation provide the optimal network scheme with the best supply chain performance.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Guo, YR (Corresponding Author), Army Engn Univ, Dept Equipment Command \& Management, Shijiazhuang 050003, Hebei, Peoples R China. Guo, Yurong; Shi, Quan; Wang, Yadong; Song, Mingchang; Wu, Weiyi, Army Engn Univ, Dept Equipment Command \& Management, Shijiazhuang 050003, Hebei, Peoples R China.}, DOI = {10.1016/j.eswa.2023.121895}, EarlyAccessDate = {OCT 2023}, Article-Number = {121895}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Responsive supply chain; Supply chain network design; Robust possibilistic flexible programming; Meta-heuristic; entropy-weighted TOPSIS}, Keywords-Plus = {MULTIOBJECTIVE OPTIMIZATION; UNCERTAINTY; RESILIENT; ALGORITHM}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {g\_speedmax@163.com qsljgcdx@126.com xwzj0003@gmail.com smc1143190903@126.com weiyi1019@163.com}, Affiliations = {Army Engineering University of PLA}, ORCID-Numbers = {Guo, Yurong/0000-0001-9685-8359}, Cited-References = {Abad ARKK, 2021, RAIRO-OPER RES, V55, P811, DOI 10.1051/ro/2021035. 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Appl.}, Doc-Delivery-Number = {X3GV7}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001097379800001}, DA = {2026-04-14}, } @article{ WOS:000551923400002, Author = {Pashapour, Shima and Azadeh, Ali and Bozorgi-Amiri, Ali and Keramati, Abbas and Ghaderi, Seyed Farid}, Title = {A resource allocation model to choose the best portfolio of economic resilience plans: a possibilistic stochastic programming model}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2020}, Volume = {14}, Number = {3}, Pages = {301-334}, Abstract = {Economic resilience is defined as a tool capable of reducing the losses caused by disasters. It can be defined in two major concepts. Static economic resilience is the effective allocation of available resources and dynamic economic resilience refers to accelerating the recovery process through the repair and rebuilding of the capital stock. In this research, the performance of a petrochemical plant in the face of crisis is investigated. For this, a bi-objective mathematical model that considers cost and resilience capability as objective functions is developed to choose the best portfolio of static and dynamic plans. To solve the mathematical model, a weighted augmented epsilon-constraint method and a multi-stage possibilistic stochastic programming (MSPSP) approach are employed. The numerical results showed that the proposed approach is effective in optimising the performance of a petrochemical plant in facing crisis situations and in choosing the best portfolio of economic resilience plans. {[}Received: 11 January 2019; Revised: 9 July 2019; Revised: 13 August 2019; Accepted: 13 August 2019]}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Bozorgi-Amiri, A (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Pashapour, Shima; Azadeh, Ali; Bozorgi-Amiri, Ali; Keramati, Abbas; Ghaderi, Seyed Farid, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Keramati, Abbas, Ryerson Univ, Ted Rogers Sch Informat Technol Management, Toronto, ON, Canada.}, DOI = {10.1504/EJIE.2020.107669}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {economic resilience; resilience capability; multi-stage possibilistic stochastic programming; MSPSP; petrochemical plant; resource allocation}, Keywords-Plus = {BUSINESS CONTINUITY MANAGEMENT; SUPPLY CHAIN; ORGANIZATIONAL RESILIENCE; DESIGN; OPTIMIZATION; NETWORK; FRAMEWORK; INFRASTRUCTURE; CONSTRAINTS; UNCERTAINTY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {shima.pashapour@ut.ac.ir alibozorgi@ut.ac.ir Keramati@ut.ac.ir ghaderi@ut.ac.ir}, Affiliations = {University of Tehran; Toronto Metropolitan University}, ResearcherID-Numbers = {ghaderi, S.f/S-3944-2018 Bozorgi-Amiri, Ali/D-9899-2015 Azadeh, Ali/C-5517-2015 Keramati, Abbas/AFZ-1196-2022}, ORCID-Numbers = {Keramati, Abbas/0000-0001-5897-2935}, Cited-References = {Al-Othman WBE, 2008, EUR J OPER RES, V189, P822, DOI 10.1016/j.ejor.2006.06.081. {[}Anonymous], 2006, DISASTER RESILIENCE. 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Zahiri B, 2017, INFORM SCIENCES, V385, P225, DOI 10.1016/j.ins.2017.01.018. Zahiri B, 2014, TRANSPORT RES E-LOG, V72, P101, DOI 10.1016/j.tre.2014.09.007. Zhao SP, 2019, AICHE J, V65, P1006, DOI 10.1002/aic.16513. Zobel CW, 2014, COMPUT OPER RES, V42, P83, DOI 10.1016/j.cor.2011.09.024. Zobel CW, 2011, DECIS SUPPORT SYST, V50, P394, DOI 10.1016/j.dss.2010.10.001.}, Number-of-Cited-References = {55}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {40}, Journal-ISO = {Eur. J. Ind. Eng.}, Doc-Delivery-Number = {MP0SL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000551923400002}, DA = {2026-04-14}, } @article{ WOS:000253637700008, Author = {Eleye-Datubo, A. G. and Wall, A. and Wang, J.}, Title = {Marine and offshore safety assessment by incorporative risk modeling in a fuzzy-Bayesian network of an induced mass assignment paradigm}, Journal = {RISK ANALYSIS}, Year = {2008}, Volume = {28}, Number = {1}, Pages = {95-112}, Month = {FEB}, Abstract = {The incorporation of the human element into a probabilistic risk-based model is one that requires a possibilistic integration of appropriate techniques and/or that of vital inputs of linguistic nature. While fuzzy logic is an excellent tool for such integration, it tends not to cross its boundaries of possibility theory, except via an evidential reasoning supposition. Therefore, a fuzzy-Bayesian network (FBN) is proposed to enable a bridge to be made into a probabilistic setting of the domain. This bridge is formalized by way of the mass assignment theory. A framework is also proposed for its use in maritime safety assessment. Its implementation has been demonstrated in a maritime human performance case study that utilizes performance-shaping factors as the input variables of this groundbreaking FBN risk model.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Wang, J (Corresponding Author), Liverpool John Moores Univ, Sch Engn, Marine Offshore \& Transport Res Grp, Byrom St, Liverpool L3 3AF, Merseyside, England. Eleye-Datubo, A. G.; Wall, A.; Wang, J., Liverpool John Moores Univ, Sch Engn, Marine Offshore \& Transport Res Grp, Liverpool L3 3AF, Merseyside, England.}, DOI = {10.1111/j.1539-6924.2008.01004.x}, ISSN = {0272-4332}, EISSN = {1539-6924}, Keywords = {Bayesian network; fuzzy logic; marine and offshore systems; safety assessment}, Keywords-Plus = {APPROXIMATE; PROBABILITY}, Research-Areas = {Public, Environmental \& Occupational Health; Mathematics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Public, Environmental \& Occupational Health; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods}, Author-Email = {j.wang@ljmu.ac.uk}, Affiliations = {Liverpool John Moores University}, ResearcherID-Numbers = {Wang, Jin/AAX-4516-2020}, ORCID-Numbers = {Wang, Jin/0000-0003-4646-9106}, Cited-References = {{[}Anonymous], 1999, HSE. Baldwin J.F., 1995, Fril-Fuzzy and Evidential Reasoning in Artificial Intelligence. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8].}, Number-of-Cited-References = {37}, Times-Cited = {93}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {42}, Journal-ISO = {Risk Anal.}, Doc-Delivery-Number = {269GO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000253637700008}, DA = {2026-04-14}, } @article{ WOS:000235762800021, Author = {Huang, HJ and Tzeng, GH and Ong, CS}, Title = {A novel algorithm for uncertain portfolio selection}, Journal = {APPLIED MATHEMATICS AND COMPUTATION}, Year = {2006}, Volume = {173}, Number = {1}, Pages = {350-359}, Month = {FEB 1}, Abstract = {In this paper, the conventional mean-variance method is revised to determine the optimal portfolio selection under the uncertain situation. The possibilistic area of the return rate is first derived using the possibisitic regression model. Then, the Mellin transformation is employed to obtain the mean and the risk by considering the uncertainty. Next, the revised mean-variance model is proposed to deal with the problem of uncertain portfolio selection. In addition, a numerical example is used to demonstrate the proposed method. On the basis of the numerical results, we can conclude that the proposed method can provide the more flexible and accurate results than the conventional method under the uncertain portfolio selection situation. (c) 2005 Elsevier Inc. All rights reserved.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Tzeng, GH (Corresponding Author), Natl Chiao Tung Univ, Inst Management Technol, 1001 Ta Hsueh Rd, Hsinchu 300, Taiwan. Natl Chiao Tung Univ, Inst Management Technol, Hsinchu 300, Taiwan. Natl Chiao Tung Univ, Coll Management, Inst Traff \& Transportat, Hsinchu 300, Taiwan. Natl Taiwan Univ, Dept Informat Management, Taipei 106, Taiwan. Kainan Univ, Dept Business Adm, Taoyuan 338, Taiwan.}, DOI = {10.1016/j.amc.2005.04.074}, ISSN = {0096-3003}, EISSN = {1873-5649}, Keywords = {mean-variance method; portfolio selection; possibilistic regression; Mellin transformation}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {u5460637@ms16.hinet.net}, Affiliations = {National Yang Ming Chiao Tung University; National Yang Ming Chiao Tung University; National Taiwan University; Kainan University}, ResearcherID-Numbers = {Tzeng, Gwo-Hshiung/B-2775-2009}, ORCID-Numbers = {Huang, Jih-Jeng/0000-0002-7965-7165 Tzeng, Gwo-Hshiung/0000-0003-1856-7497 }, Cited-References = {Elton E., 1995, MODERN PORTFOLIO THE, V5th. ELTON EJ, 1978, J FINANC, V33, P1357. Markowitz H., 1987, MEAN VARIANCE ANAL P. Markowitz H, 1952, J FINANC, V7, P77, DOI 10.1111/j.1540-6261.1952.tb01525.x. Tanaka H., 2001, POSSIBILISTIC DATA A. Yoon KP, 1996, FUZZY SET SYST, V80, P167, DOI 10.1016/0165-0114(95)00193-X.}, Number-of-Cited-References = {6}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Appl. Math. Comput.}, Doc-Delivery-Number = {018KJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000235762800021}, DA = {2026-04-14}, } @article{ WOS:000688460900008, Author = {Essghaier, Fatma and Allaoui, Hamid and Goncalves, Gilles}, Title = {Truck to door assignment in a shared cross-dock under uncertainty}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2021}, Volume = {182}, Month = {NOV 15}, Abstract = {This paper addresses the optimization of the truck to door assignment problem in cross-docks. It defines a new form of horizontal collaboration between suppliers by sharing the platform's resources to enhance service level and reduce economical costs. Moreover, this study proposes to solve the problem by considering an uncertain transfer time, that is frequently observed in real-world cross-docks. Due to imprecise arrival time of trucks, equipment breakdown, or workload variation, etc, the actual transfer time tends to be shorter or longer than the prefixed one. This uncertainty is modeled as a triangular fuzzy number then a Fuzzy Chance Programming model has been proposed to solve the problem using possibilistic measures. The efficiency and robustness of both (deterministic and fuzzy) proposed models are tested empirically and obtained results confirm the positive effect of collaboration and uncertainty handling.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Essghaier, F (Corresponding Author), Univ Artois, UR 3926, Lab Genie Informat \& Automat Artois LGI2A, F-62400 Bethune, France. Essghaier, Fatma; Allaoui, Hamid; Goncalves, Gilles, Univ Artois, UR 3926, Lab Genie Informat \& Automat Artois LGI2A, F-62400 Bethune, France.}, DOI = {10.1016/j.eswa.2021.114889}, EarlyAccessDate = {MAY 2021}, Article-Number = {114889}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Cross-docking; Optimization; Collaboration; Uncertainty; Truck to Door Assignment; Chance Constrained Programming}, Keywords-Plus = {DECISION-SUPPORT; CONSTRAINT}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {essghaier.fatma@gmail.com hamid.allaoui@univ-artois.fr gilles.goncalves@univ-artois.fr}, Affiliations = {Universite d'Artois}, ORCID-Numbers = {Goncalves, Gilles/0000-0001-5564-9673 allaoui, hamid/0000-0001-7844-5796}, Funding-Acknowledgement = {European Union; European Regional Development Fund; Council of Hauts-de-France Region}, Funding-Text = {Our work is a part of the ELSAT 2020 project which is co-financed by the European Union with the European Regional Development Fund, the French state, and the Council of Hauts-de-France Region. 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Appl.}, Doc-Delivery-Number = {UF3EW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000688460900008}, DA = {2026-04-14}, } @article{ WOS:A1992GX27600006, Author = {CLARKE, ND and MCLEISH, MD and VYN, TJ and STONE, JA}, Title = {USING CERTAINTY FACTORS AND POSSIBILITY THEORY METHODS IN A TILLAGE SELECTION EXPERT SYSTEM}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {1992}, Volume = {4}, Number = {1}, Pages = {53-62}, Abstract = {Both certainty factors and possibility theory have been successfully used to represent uncertainty in expert systems. Both of these methods were investigated during the development of a rule-based expert system for selecting tillage alternatives for corn and soybean production in Ontario. The expert system was used to test uncertainty management methods and to determine the appropriateness of possibility theory and certainty factors for representing and combining uncertainty in the knowledge base. Several techniques for representing uncertainty with these two methods are reviewed and the strengths and weaknesses of the two approaches, in terms of this project, are discussed. For expert systems in which evidence from many sources is accumulated toward a hypothesis, certainty factors appear to be more responsive than possibility theory methods. The system was validated against human experts and found to perform extremely well.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {UNIV GUELPH, DEPT COMP \& INFORMAT SCI, GUELPH N1G 2W1, ONTARIO, CANADA. AGR CANADA, RES STN, HARROW N0R 1G0, ONTARIO, CANADA.}, DOI = {10.1016/0957-4174(92)90040-Y}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords-Plus = {CONSERVATION TILLAGE; ONTARIO}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Affiliations = {University of Guelph; Agriculture \& Agri Food Canada}, ResearcherID-Numbers = {Clarke, Neil/D-9613-2014}, ORCID-Numbers = {Vyn, Tony/0000-0001-9860-4475 }, Cited-References = {ADLASSNIG KP, 1986, IEEE T SYST MAN CYB, V16, P260, DOI 10.1109/TSMC.1986.4308946. ANDREASSEN S, 1987, 10TH P INT JOINT C A, P366. Buchanan B.G., 1984, Rule based expert systems: The mycin experiments of the stanford heuristic programming project (the addison-wesley series in artificial intelligence). 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Neapolitan R.E., 1990, PROBABILISTIC REASON. Pearl J., 1997, Probabilistic reasoning in intelligent systems : networks of plausible inference, DOI {[}10.1016/C2009-0-27609-4, DOI 10.1016/C2009-0-27609-4]. RICHARDS JS, 1983, J SOIL WATER CONSERV, V38, P255. Shortliffe E. H., 1975, Mathematical Biosciences, V23, P351, DOI 10.1016/0025-5564(75)90047-4. YAGER R, 1990, J APPROXIMATE REASON. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {26}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {GX276}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992GX27600006}, DA = {2026-04-14}, } @article{ WOS:000495142400007, Author = {Grillo, H. and Alemany, M. M. E. and Ortiz, A. and De Baets, B.}, Title = {Possibilistic compositions and state functions: application to the order promising process for perishables}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2019}, Volume = {57}, Number = {22}, Pages = {7006-7031}, Month = {NOV 17}, Abstract = {In this paper, we propose the concepts of the composition of possibilistic variables and state functions. While in conventional compositional data analysis, the interdependent components of a deterministic vector must add up to a specific quantity, we consider such components as possibilistic variables. The concept of state function is intended to describe the state of a dynamic variable over time. If a state function is used to model decay in time, it is called the ageing function. We present a practical implementation of our concepts through the development of a model for a supply chain planning problem, specifically the order promising process for perishables. We use the composition of possibilistic variables to model the existence of different non-homogeneous products in a lot (sub-lots with lack of homogeneity in the product), and the ageing function to establish a shelf life-based pricing policy. To maintain a reasonable complexity and computational efficiency, we propose the procedure to obtain an equivalent interval representation based on alpha -cuts, allowing to include both concepts by means of linear mathematical programming. Practical experiments were conducted based on data of a Spanish supply chain dedicated to pack and distribute oranges and tangerines. The results validated the functionality of both, the compositions of possibilistic variables and ageing functions, showing also a very good performance in terms of the interpretation of a real problem with a good computational performance.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Grillo, H (Corresponding Author), Univ Costa Rica, Ind Engn Sch, San Jose, Costa Rica. Grillo, H., Univ Costa Rica, Ind Engn Sch, San Jose, Costa Rica. Alemany, M. M. E.; Ortiz, A., Univ Politecn Valencia, Res Ctr Prod Management \& Engn CIGIP, Valencia, Spain. De Baets, B., Univ Ghent, Dept Data Anal \& Math Modelling, KERMIT, Ghent, Belgium.}, DOI = {10.1080/00207543.2019.1574039}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {composition of possibilistic variables; state function; ageing function; order promising process; perishability; lack of homogeneity in the product; uncertainty}, Keywords-Plus = {AVAILABLE-TO-PROMISE; SHELF-LIFE; FUZZY; OPTIMIZATION; PRODUCT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {hangries@upvnet.upv.es}, Affiliations = {Universidad Costa Rica; Universitat Politecnica de Valencia; Ghent University}, ResearcherID-Numbers = {Alemany-Díaz, María del Mar Eva/J-2194-2015 Ortiz, Angel/L-1230-2014 De Baets, Bernard/E-8877-2010}, ORCID-Numbers = {Alemany-Díaz, María del Mar Eva/0000-0002-0992-8441 Grillo Espinoza, Hanzel/0000-0001-8621-930X Ortiz, Angel/0000-0001-5690-0807 De Baets, Bernard/0000-0002-3876-620X}, Cited-References = {AITCHISON J, 1982, J ROY STAT SOC B, V44, P139. 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Zeng WY, 2006, INT J UNCERTAIN FUZZ, V14, P259, DOI 10.1142/S0218488506003996.}, Number-of-Cited-References = {27}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {JK9EW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000495142400007}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000923157900001, Author = {Bickel, David R.}, Title = {Maximum entropy derived and generalized under idempotent probability to address Bayes-frequentist uncertainty and model revision uncertainty: An information-theoretic semantics for possibility theory}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {453}, Pages = {192-212}, Month = {FEB 15}, Abstract = {Typical statistical methods of data analysis only handle determinate uncertainty, the type of uncertainty that can be modeled under the Bayesian or confidence theories of inference. An example of indeterminate uncertainty is uncertainty about whether the Bayesian theory or the frequentist theory is better suited to the problem at hand. Another example is uncertainty about how to modify a Bayesian model upon learning that its prior is inadequate. Both problems of indeterminate uncertainty have solutions under the proposed framework. The framework is based on an information-theoretic definition of an incoherence function to be minimized. It generalizes the principle of choosing an estimate that minimizes the reverse relative entropy between it and a previous posterior distribution such as a confidence distribution. The simplest form of the incoherence function, called the incoherence distribution, is a min-plus probability distribution, which is equivalent to a possibility distribution rather than a measure-theoretic probability distribution. A simple case of minimizing the incoherence leads to a generalization of minimizing relative entropy and thus of maximizing entropy. The framework of minimum incoherence is applied to problems of Bayesian-confidence uncertainty and to parallel problems of indeterminate uncertainty about model revision.(c) 2022 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Bickel, DR (Corresponding Author), Univ North Carolina Greensboro, Grad Sch, Informat \& Analyt, 241 Mossman Bldg, Greensboro, NC 27402 USA. Bickel, David R., Univ North Carolina Greensboro, Grad Sch, Informat \& Analyt, 241 Mossman Bldg, Greensboro, NC 27402 USA.}, DOI = {10.1016/j.fss.2022.05.009}, EarlyAccessDate = {DEC 2022}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Bayes-frequentist continuum; Bayesian model checking; Blended inference; Coding theory; Fiducial inference; Information theory; Kullback-Leibler divergence; Possibility theory}, Keywords-Plus = {PRIOR-DATA CONFLICT; FIDUCIAL DISTRIBUTIONS; AXIOMATIC DERIVATION; CONFIDENCE; INFERENCE; FRAMEWORK; POSTERIOR; DISCREPANCY; PRINCIPLE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {dbickel@uncg.edu}, Affiliations = {University of North Carolina; University of North Carolina Greensboro}, ResearcherID-Numbers = {Bickel, David R/ABF-7206-2021}, ORCID-Numbers = {Bickel, David R/0000-0002-9623-3946}, Funding-Acknowledgement = {Natural Sciences and Engineering Research Council of Canada {[}RGPIN/356018-2009]}, Funding-Text = {Acknowledgements I thank two anonymous reviewers and the Area Editor for comments leading to the addition of Section 1.2, Sec- tion 5, and Appendix C and to a more formal presentation of Sections 2-4. 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Xie MG, 2013, INT STAT REV, V81, P3, DOI 10.1111/insr.12000.}, Number-of-Cited-References = {79}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {8K5RE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000923157900001}, DA = {2026-04-14}, } @article{ WOS:001499879600001, Author = {Asadi, Zeinab and Aghajani, Hassanali and Khatir, Mohammad Valipour and Tirkolaee, Erfan Babaee}, Title = {Viable-sustainable supplier selection and order allocation problem considering Industry 5.0 pillars under mixed uncertainty}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2025}, Volume = {63}, Number = {20}, Pages = {7591-7616}, Month = {OCT 18}, Abstract = {This work addresses the Supplier Selection and Order Allocation Problem (SSOAP) with two important evolving concepts namely viability and Industry 5.0 (I5.0) wherein sustainability plays a vital role. For this purpose, an efficient decision-making model is developed which is based on Multiple-Criteria Decision-Making (MCDM) techniques. First of all, the suppliers' scores are measured according to the viability and I5.0 dimensions. To do so, two novel decision-making approaches of Stochastic Fuzzy Best-Worst Method (SFBWM) and Stochastic Fuzzy Technique for Order Preference by Similarity to Ideal Solution (SFTOPSIS) are developed. Then, a multi-objective mathematical model (MOMM) is proposed to choose the most appropriate suppliers and specify the number of orders in which all dimensions of the viability and I5.0 concepts are incorporated. In the next step, a Robust Stochastic-Possibilistic (RSP) technique is employed to treat the mixed uncertainty. Finally, the MOMM is treated with the help of a novel improved Goal Programming (GP) approach; i.e. Lexicographic Chebyshev Revised Multi-Choice Goal Programming (LCRMCGP). A real healthcare system is then investigated as the case study problem to represent the applicability, validity, and performance of the developed model, and eventually, render useful managerial and decision aids.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tirkolaee, EB (Corresponding Author), Azerbaycan St 4 DA, TR-34396 Sariyer Istanbul, Turkiye. Asadi, Z (Corresponding Author), Pasdaran St, Babolsar 4741613534, Mazandaran, Iran. Asadi, Zeinab; Aghajani, Hassanali; Khatir, Mohammad Valipour, Univ Mazandaran, Fac Econ \& Adm Sci, Dept Ind Management, Babolsar, Iran. Tirkolaee, Erfan Babaee, Istinye Univ, Dept Ind Engn, Istanbul, Turkiye. Tirkolaee, Erfan Babaee, Yuan Ze Univ, Dept Ind Engn \& Management, Taoyuan, Taiwan. Tirkolaee, Erfan Babaee, Western Caspian Univ, Dept Mech \& Math, Baku, Azerbaijan.}, DOI = {10.1080/00207543.2025.2502848}, EarlyAccessDate = {MAY 2025}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {Supplier selection and order allocation; Viability; Sustainability; Industry 5.0; Stochastic Fuzzy Best-Worst Method; Stochastic Fuzzy TOPSIS; Stochastic Fuzzy TOPSIS}, Keywords-Plus = {CHAIN}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {z.asadi01@umail.umz.ac.ir erfan.babaee@istinye.edu.tr}, Affiliations = {University of Mazandaran; Istinye University; Yuan Ze University; Ministry of Education of Azerbaijan Republic; Western Caspian University}, ResearcherID-Numbers = {Aghajani, Hassanali/AAJ-2422-2020 Tirkolaee, Erfan/U-3676-2017 Asadi, Zeinab/MDT-6776-2025 khatir, mohammad/AAN-9410-2021}, Cited-References = {Aal SIA, 2024, Neutrosophic Systems with Applications, V15, P33, DOI {[}10.61356/j.nswa.2024.1513956, 10.61356/j.nswa.2024.1513956, DOI 10.61356/J.NSWA.2024.1513956]. 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Tirkolaee EB, 2022, J CLEAN PROD, V333, DOI 10.1016/j.jclepro.2021.130056. Tirkolaee EB, 2020, J CLEAN PROD, V250, DOI 10.1016/j.jclepro.2019.119517. Usak M, 2020, INT J COMMUN SYST, V33, DOI 10.1002/dac.4179. Vaezi A, 2024, J CLEAN PROD, V444, DOI 10.1016/j.jclepro.2024.141216. Zahiri B, 2017, TRANSPORT RES E-LOG, V103, P109, DOI 10.1016/j.tre.2017.04.009. Zekhnini K, 2021, IFIP ADV INF COMM TE, V633, P622, DOI 10.1007/978-3-030-85910-7\_66.}, Number-of-Cited-References = {79}, Times-Cited = {4}, Usage-Count-Last-180-days = {12}, Usage-Count-Since-2013 = {25}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {8GL0W}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001499879600001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000457104800024, Author = {Moradi, Azam and Razmi, Jafar and Babazadeh, Reza and Sabbaghnia, Ali}, Title = {AN INTEGRATED PRINCIPAL COMPONENT ANALYSIS AND MULTI-OBJECTIVE MATHEMATICAL PROGRAMMING APPROACH TO AGILE SUPPLY CHAIN NETWORK DESIGN UNDER UNCERTAINTY}, Journal = {JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION}, Year = {2019}, Volume = {15}, Number = {2}, Pages = {855-879}, Month = {APR}, Abstract = {The design of agile supply chain networks has attracted more attention in recent years according to the competitive business environment. Further, due to high degree of uncertainty in agile supply chains (SCs), developing robust and efficient decision making tools are of interest. In this study, an integrated approach based on principal component analysis (PCA) and multi-objective possibilistic mixed integer programming (MOPMIP) approaches is proposed to optimally design agile supply chain network under uncertainty. The PCA method is used for ranking and filtering the suppliers, constituting the first layer of the supply chain, based on agility criteria. The proposed MOPMIP model is employed to construct the agile supply chain network under uncertainty. In the proposed MOPMIP model, three objective functions including 1) total costs minimization, 2) total delivery time minimization and 3) maximization of flexibility are considered. An interactive fuzzy solution approach is used to solve the proposed MOPMILP model. Two numerical examples, is conducted to evaluate the performance and efficiency of the proposed integrated approach for agile supply chain network design under uncertainty.}, Publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS}, Address = {PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA}, Type = {Article}, Language = {English}, Affiliation = {Babazadeh, R (Corresponding Author), Urmia Univ, Fac Engn, Orumiyeh, West Azerbaijan, Iran. Moradi, Azam; Razmi, Jafar; Sabbaghnia, Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Babazadeh, Reza, Urmia Univ, Fac Engn, Orumiyeh, West Azerbaijan, Iran.}, DOI = {10.3934/jimo.2018074}, ISSN = {1547-5816}, EISSN = {1553-166X}, Keywords = {Principal component analysis; agile supply chain; mathematical programming; fuzzy multi-objective programming; uncertainty}, Keywords-Plus = {SELECTION; RANKING; MANAGEMENT; MODEL; CAPABILITIES; PERFORMANCE}, Research-Areas = {Engineering; Operations Research \& Management Science; Mathematics}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science; Mathematics, Interdisciplinary Applications}, Author-Email = {azam.moradi@ut.ac.ir jrazmi@ut.ac.ir r.babazadeh@urmia.ac.ir ali\_sabbaghnia@ut.ac.ir}, Affiliations = {University of Tehran; Urmia University}, ResearcherID-Numbers = {Sabbaghnia, Ali/AAQ-2774-2021 Babazadeh, Reza/HDO-4507-2022}, ORCID-Numbers = {Babazadeh, Reza/0000-0001-8070-6473}, Funding-Acknowledgement = {Iran National Science Foundation (INSF)}, Funding-Text = {The authors appreciate for the Iran National Science Foundation (INSF) for the financial support of this study. 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Yusuf YY, 2004, EUR J OPER RES, V159, P379, DOI 10.1016/j.ejor.2003.08.022.}, Number-of-Cited-References = {73}, Times-Cited = {18}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {36}, Journal-ISO = {J. Ind. Manag. Optim.}, Doc-Delivery-Number = {HJ3WP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000457104800024}, OA = {gold}, DA = {2026-04-14}, } @article{ WOS:001378338100001, Author = {Deng, Xue and Geng, Fengting}, Title = {A Novel Mean-Variance-Entropy Portfolio with Two-Parameter Coherent Triangular Intuitionistic Fuzzy Number}, Journal = {COMPUTATIONAL ECONOMICS}, Year = {2025}, Volume = {66}, Number = {4}, Pages = {3081-3130}, Month = {OCT}, Abstract = {There are a lot of fuzzy uncertainties in the real financial market, and fuzzy numbers can well depict this phenomenon. On the one hand, compared with fuzzy numbers (only with membership function), intuitionistic fuzzy numbers (with both membership and non-membership functions) can describe different types of uncertainties more accurately by providing a more comprehensive information description. On the other hand, investors are not entirely rational, and their attitudes are crucial to investment decisions. Based on these facts, we define a new coherent intuitionistic fuzzy number with two parameters, which can describe markets' fuzzy uncertainties and investors' attitudes at the same time. Then, we derive specific expressions of its possibilistic mean, possibilistic variance, and possibilistic covariance through rigorous mathematical proofs. In addition, too concentrated allocation of investment weights is not conducive to risk diversification, while entropy can improve portfolio diversity because it does not depend on the normal distribution assumption of security returns. Considering this advantage of entropy, we construct a new mean-variance-entropy portfolio model which incorporates two-parameter coherent intuitionistic fuzzy numbers. Further, we employ the ideal point method to solve this model. Finally, we empirically demonstrate the feasibility and effectiveness of our new model by randomly selecting 20 stocks from the Chinese stock market. The results show that different values of the two parameters can describe the ambiguity of the market and the different attitudes of investors: investors with an optimistic-optimistic attitude tend to achieve higher returns and greater diversification, while optimistic-neutral investors tend to undertake lower risks.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Geng, FT (Corresponding Author), South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China. Deng, Xue; Geng, Fengting, South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China.}, DOI = {10.1007/s10614-024-10773-4}, EarlyAccessDate = {DEC 2024}, ISSN = {0927-7099}, EISSN = {1572-9974}, Keywords = {Portfolio; Two-parameter coherent triangular intuitionistic fuzzy number; Entropy; Investors' attitudes}, Keywords-Plus = {SELECTION MODEL; RANKING METHOD; OPTIMIZATION; RISK; RULE}, Research-Areas = {Business \& Economics; Mathematics}, Web-of-Science-Categories = {Economics; Management; Mathematics, Interdisciplinary Applications}, Author-Email = {ftgengscut@163.com}, Affiliations = {South China University of Technology}, Funding-Acknowledgement = {National Social Science Foundation of China; Fundamental Research Funds for the Central Universities; Guangdong Province Graduate Education Innovation Program Project {[}x2lxC9238013]; {[}21BTJ069]}, Funding-Text = {This research was funded by the National Social Science Foundation of China, No. 21BTJ069, the Fundamental Research Funds for the Central Universities, No. x2lxC2220400 and the Guangdong Province Graduate Education Innovation Program Project, No. x2lxC9238013. The authors are highly grateful to the referees and editor in-chief for their very helpful advice and comments.}, Cited-References = {Aksarayli M, 2018, EXPERT SYST APPL, V94, P185, DOI 10.1016/j.eswa.2017.10.056. {[}Anonymous], 2009, World Academy of Science, Engineering and Technology. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Chang TJ, 2000, COMPUT OPER RES, V27, P1271, DOI 10.1016/S0305-0548(99)00074-X. Chen L, 2021, SOFT COMPUT, V25, P1925, DOI 10.1007/s00500-020-05266-z. Deng X, 2023, SOFT COMPUT, V27, P17189, DOI 10.1007/s00500-023-08978-0. Dubey D, 2011, ADV INTEL SYS RES, P563. Garai T, 2018, J INTELL FUZZY SYST, V35, P1021, DOI 10.3233/JIFS-17298. Gong XM, 2022, APPL SOFT COMPUT, V114, DOI 10.1016/j.asoc.2021.108104. Jorion P., 1997, VALUE RISK NEW BENCH. Katagiri H., 1999, IEEE SMC 99 C P 1999. Keepers GA, 2020, AM J PSYCHIAT, V177, P868, DOI {[}10.1176/appi.ajp.2020.177901, 10.1176/appi.focus.18402]. 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Zhang P, 2014, FUZZY SET SYST, V255, P74, DOI 10.1016/j.fss.2014.07.018. Zhang Q. S., 2022, 34 CHIN CONTR DEC C, P245. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023.}, Number-of-Cited-References = {41}, Times-Cited = {1}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {18}, Journal-ISO = {Comput. Econ.}, Doc-Delivery-Number = {8EC0N}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001378338100001}, DA = {2026-04-14}, } @article{ WOS:000169177600001, Author = {Sossai, C and Bison, P and Chemello, G}, Title = {Sequent calculus and data fusion}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2001}, Volume = {121}, Number = {3}, Pages = {371-395}, Month = {AUG 1}, Abstract = {We present a formal method for data fusion, based on possibilistic logic. The method has been applied to a real-world problem of noisy sensor-data fusion: the position estimation of an autonomous mobile robot navigating in an approximately and partially known office environment using a topological map. Each place in the map is characterized by a set of logical formulae axiomatizing both symbolic knowledge and uncertain information from the sensors. At each time instant during navigation, the necessity for each place is calculated using a function generated by a proof system based on sequent calculus. Several test runs using a real robot have shown the adequacy of the approach in interpreting and disambiguating the information coming from independent perceptual sources, in combination with symbolic knowledge. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Sossai, C (Corresponding Author), CNR, Ladseb, Corso Stati Uniti 4, I-35127 Padua, Italy. CNR, Ladseb, I-35127 Padua, Italy.}, DOI = {10.1016/S0165-0114(00)00067-1}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {reasoning with uncertainty; possibilistic logic; sequent calculus; data fusion; mobile robotics; localization}, Keywords-Plus = {FUZZY-LOGIC; BELIEF; SEMANTICS; RULES}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {sossai@ladseb.pd.cnr.it paolo@ladseb.pd.cnr.it chemello@ladseb.pd.cnr.it}, Affiliations = {Consiglio Nazionale delle Ricerche (CNR)}, ResearcherID-Numbers = {Chemello, Gaetano/F-7469-2015}, Cited-References = {{[}Anonymous], APPL LOGIC SERIES. 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ZADEH LA, 1994, IEEE EXPERT, V9, P43.}, Number-of-Cited-References = {54}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {440LW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000169177600001}, DA = {2026-04-14}, } @article{ WOS:000339699100002, Author = {Coletti, Giulianella and Petturiti, Davide and Vantaggi, Barbara}, Title = {Possibilistic and probabilistic likelihood functions and their extensions: Common features and specific characteristics}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {250}, Pages = {25-51}, Month = {SEP 1}, Abstract = {We deal with conditional probability in the sense of de Finetti and with T-conditional possibility (with T a triangular norm). We prove that Dubois and Prade conditional possibility is a particular min-conditional possibility and then we compare the two notions of conditioning by an inferential point of view. Moreover, we study T-conditional possibilities as functions of the conditioning event, putting in evidence analogies and differences with conditional probabilities. This allows to characterize likelihood functions (and their aggregations) consistent either with a T-conditional possibility or a conditional probability. This analysis highlights many syntactical coincidences. Nevertheless the main difference is a weak form of monotonicity, which arises only in the possibilistic case. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vantaggi, B (Corresponding Author), Univ Roma La Sapienza, Dip SBAI, I-00185 Rome, Italy. Coletti, Giulianella, Univ Perugia, Dip Matemat \& Informat, I-06100 Perugia, Italy. Petturiti, Davide; Vantaggi, Barbara, Univ Roma La Sapienza, Dip SBAI, I-00185 Rome, Italy.}, DOI = {10.1016/j.fss.2013.09.010}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Likelihood function; Coherence; Conditional probability; DP-conditional possibility; T-conditional possibility}, Keywords-Plus = {IMPRECISE PROBABILITIES; CONDITIONAL-PROBABILITY; INTEGRATED LIKELIHOOD; BAYESIAN-INFERENCE; FUZZY-SETS; COHERENCE; INDEPENDENCE; UNCERTAINTY; INFORMATION; EXPRESSION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {coletti@dmi.unipg.it davide.petturiti@sbai.uniroma1.it barbara.vantaggi@sbai.uniroma1.it}, Affiliations = {University of Perugia; Sapienza University Rome}, ResearcherID-Numbers = {Petturiti, Davide/G-4800-2015 Coletti, Giulianella/N-4935-2014}, ORCID-Numbers = {Petturiti, Davide/0000-0002-3277-4217 Vantaggi, Barbara/0000-0002-3651-3743 Coletti, Giulianella/0000-0002-0152-1735}, Cited-References = {Baioletti M, 2011, INT J APPROX REASON, V52, P580, DOI 10.1016/j.ijar.2010.12.006. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {49}, Times-Cited = {20}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AM2RS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000339699100002}, DA = {2026-04-14}, } @article{ WOS:000224953000006, Author = {Bernardini, A and Tonon, F}, Title = {Aggregation of evidence from random and fuzzy sets}, Journal = {ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK}, Year = {2004}, Volume = {84}, Number = {10-11}, Pages = {700-709}, Abstract = {Alternative rules for the aggregation of different sources of information are discussed in the ambit of random set theory, which gives a general framework in the field of the uncertainty measures, containing probabilistic measures, set-based models (interval analysis or more generally convex models), fuzzy sets and possibility theory as particular extreme cases. Analogies and extensions of the corresponding rules are underlined with reference both to probabilistic procedures and to fuzzy sets operations. (C) 2004 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim.}, Publisher = {WILEY-V C H VERLAG GMBH}, Address = {POSTFACH 101161, 69451 WEINHEIM, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Bernardini, A (Corresponding Author), Univ Padua, Dipartimento Costruzioni \& Trasporti, I-35131 Padua, Italy. Univ Padua, Dipartimento Costruzioni \& Trasporti, I-35131 Padua, Italy. Univ Utah, Dept Geol \& Geophys, Salt Lake City, UT 84112 USA.}, DOI = {10.1002/zamm.200410145}, ISSN = {0044-2267}, Keywords = {uncertainty; random sets; fuzzy sets; decision making; Artificial Intelligence}, Keywords-Plus = {PROBABILITY; UNCERTAINTY; INFORMATION; FRAMEWORK}, Research-Areas = {Mathematics; Mechanics}, Web-of-Science-Categories = {Mathematics, Applied; Mechanics}, Author-Email = {alberto.bernardini@unipd.it tonon@chpc.utah.edu}, Affiliations = {University of Padua; Utah System of Higher Education; University of Utah}, ResearcherID-Numbers = {Tonon, Fulvio/G-6128-2015}, ORCID-Numbers = {Tonon, Fulvio/0000-0002-3211-3320}, Cited-References = {AREZZO P, 1999, CATANIA PROJECT, P146. Ben-Haim Y., 1990, CONVEX MODELS UNCERT. Bernardini A, 1999, Whys and Hows in Uncertainty Modelling: Probability, Fuzziness and Anti-Optimization, P63. COQUET G, 1953, ANN I FOURIER, V5, P131. CUI W, 1990, INT J INTELL SYST, V5, P183, DOI 10.1002/int.4550050204. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.-J., 1991, Fuzzy Set Theory and its Applications, DOI {[}10.1007/978-94-015-7949-0, DOI 10.1007/978-94-015-7949-0].}, Number-of-Cited-References = {35}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Z. Angew. Math. Mech.}, Doc-Delivery-Number = {868ZX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000224953000006}, DA = {2026-04-14}, } @article{ WOS:000250517500003, Author = {Liang, T.-F.}, Title = {Application of interactive possibilistic linear programming to aggregate production planning with multiple imprecise objectives}, Journal = {PRODUCTION PLANNING \& CONTROL}, Year = {2007}, Volume = {18}, Number = {7}, Pages = {548-560}, Abstract = {Aggregate production planning (APP) addresses matching supply to forecast demand, with varying customer orders over the intermediate planning horizon. In real-world APP problems, input data and related parameters are commonly imprecise because information is incomplete or unavailable, and the decision maker (DM) must simultaneously consider conflicting objectives. This study develops an interactive possibilistic linear programming (i-PLP) approach to solve multi-product and multi-time period APP problems with multiple imprecise objectives and cost coefficients by triangular possibility distributions in uncertain environments. The imprecise multi-objective APP model designed here seeks to minimise total production costs and changes in work-force level with reference to imprecise demand, cost coefficients, available resources and capacity. Additionally, the proposed i-PLP approach provides a systematic framework that helps the decision-making process to solve fuzzy multi-objective APP problems, enabling a DM to interactively modify the imprecise data and parameters until a set of satisfactory solutions is derived. An industrial case demonstrates the feasibility of applying the proposed approach to a practical multi-objective APP problem.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Liang, TF (Corresponding Author), Hsiuping Inst Technol, Dept Ind Engn \& Management, 11 Gungye Rd, Dali City 412, Taichung, Taiwan. Hsiuping Inst Technol, Dept Ind Engn \& Management, Dali City 412, Taichung, Taiwan.}, DOI = {10.1080/09537280701530033}, ISSN = {0953-7287}, EISSN = {1366-5871}, Keywords = {possibilistic linear programming; aggregate production planning; fuzzy set theory; multi-objective linear programming}, Keywords-Plus = {FUZZY; FORMULATION}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {farmer@mail.hit.edu.tw}, Cited-References = {Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BITRAN GR, 1984, OPER RES, V32, P999, DOI 10.1287/opre.32.5.999. BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. BUCKLEY JJ, 1988, FUZZY SET SYST, V26, P135, DOI 10.1016/0165-0114(88)90013-9. BUCKLEY JJ, 1990, FUZZY SETS SYSTEMS, V34, P43. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {30}, Times-Cited = {32}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {18}, Journal-ISO = {Prod. Plan. Control}, Doc-Delivery-Number = {225KT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000250517500003}, DA = {2026-04-14}, } @article{ WOS:001536001200001, Author = {Dubois, Didier and Prade, Henri and Rico, Agnes}, Title = {Bipolar Sugeno integrals, if-then rules and preference orderings}, Journal = {THEORY AND DECISION}, Year = {2025}, Volume = {99}, Number = {1-2, SI}, Pages = {97-122}, Month = {SEP}, Abstract = {This paper elaborates on the symmetric Sugeno integral introduced by Michel Grabisch, and an asymmetric generalization of it devoted to handling bipolar qualitative information. We extend to this framework the representation results for Sugeno integrals in terms of if-then selection and elimination rules. We also study various preferences orderings induced by bipolar integrals, and relate them to a former approach to handing bipolar qualitative preference information in the setting of possibility theory. We finally propose a counterpart of Grabisch's symmetric Sugeno integral in a qualitative bipolar scale where consecutive levels are assumed to be equidistant.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Dubois, D (Corresponding Author), Univ Paul Sabatier, IRIT, Toulouse, France. Dubois, Didier; Prade, Henri, Univ Paul Sabatier, IRIT, Toulouse, France. Rico, Agnes, Sorbonne Univ, CNRS, LIP6, Paris, France. Rico, Agnes, Univ Lyon 1 Lyon 2, ERIC, Villeurbanne, France.}, DOI = {10.1007/s11238-025-10055-x}, EarlyAccessDate = {JUL 2025}, ISSN = {0040-5833}, EISSN = {1573-7187}, Keywords = {Sugeno integral; Bipolar scale; If-then rule; Preference ordering}, Keywords-Plus = {AGGREGATION FUNCTIONS; BI-CAPACITIES; DECISION; SETS}, Research-Areas = {Business \& Economics; Mathematical Methods In Social Sciences}, Web-of-Science-Categories = {Economics; Social Sciences, Mathematical Methods}, Author-Email = {dubois@irit.fr prade@irit.fr agnes.rico@univ-lyon1.fr}, Affiliations = {Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS)}, ORCID-Numbers = {Dubois, Didier/0000-0002-6505-2536}, Funding-Acknowledgement = {Universite de Toulouse}, Funding-Text = {Open access funding provided by Universite de Toulouse.}, Cited-References = {Bonnefon JF, 2008, THEOR DECIS, V65, P71, DOI 10.1007/s11238-007-9050-6. 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TVERSKY A, 1992, J RISK UNCERTAINTY, V5, P297, DOI 10.1007/BF00122574. Yager RR, 1996, FUZZY SET SYST, V80, P111, DOI 10.1016/0165-0114(95)00133-6.}, Number-of-Cited-References = {44}, Times-Cited = {0}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Theory Decis.}, Doc-Delivery-Number = {7PB1P}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001536001200001}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:000984766900002, Author = {Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Karimi, Behnam}, Title = {Resilient and social health service network design to reduce the effect of COVID-19 outbreak}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2023}, Volume = {328}, Number = {1, SI}, Pages = {903-975}, Month = {SEP}, Abstract = {With the severe outbreak of the novel coronavirus (COVID-19), researchers are motivated to develop efficient methods to face related issues. The present study aims to design a resilient health system to offer medical services to COVID-19 patients and prevent further disease outbreaks by social distancing, resiliency, cost, and commuting distance as decisive factors. It incorporated three novel resiliency measures (i.e., health facility criticality, patient dissatisfaction level, and dispersion of suspicious people) to promote the designed health network against potential infectious disease threats. Also, it introduced a novel hybrid uncertainty programming to resolve a mixed degree of the inherent uncertainty in the multi-objective problem, and it adopted an interactive fuzzy approach to address it. The actual data obtained from a case study in Tehran province in Iran proved the strong performance of the presented model. The findings show that the optimum use of medical centers' potential and the corresponding decisions result in a more resilient health system and cost reduction. A further outbreak of the COVID-19 pandemic is also prevented by shortening the commuting distance for patients and avoiding the increasing congestion in the medical centers. Also, the managerial insights show that establishing and evenly distributing camps and quarantine stations within the community and designing an efficient network for patients with different symptoms result in the optimum use of the potential capacity of medical centers and a decrease in the rate of bed shortage in the hospitals. Another insight drawn is that an efficient allocation of the suspect and definite cases to the nearest screening and care centers makes it possible to prevent the disease carriers from commuting within the community and increase the coronavirus transmission rate.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Tehran 16846, Iran. Hosseini-Motlagh, Seyyed-Mahdi; Samani, Mohammad Reza Ghatreh; Karimi, Behnam, Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Tehran 16846, Iran.}, DOI = {10.1007/s10479-023-05363-w}, EarlyAccessDate = {MAY 2023}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {COVID-19; Health network design; Social distance; Resiliency; Hybrid uncertainty}, Keywords-Plus = {SUPPLY CHAIN NETWORK; POSSIBILISTIC PROGRAMMING APPROACH; MULTIPERIOD LOCATION-ALLOCATION; MULTIOBJECTIVE OPTIMIZATION; UNCERTAIN ENVIRONMENT; MODEL; ROBUST; EPIDEMIC; DISRUPTIONS; SELECTION}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {motlagh@iust.ac.ir mr\_samani@ind.iust.ac.ir karimi\_be@ind.iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Samani, Mohammad/AAS-3972-2021 Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018}, ORCID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X}, Cited-References = {Acar M, 2019, TRANSPORT RES E-LOG, V130, P273, DOI 10.1016/j.tre.2019.09.007. 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In this paper we study the concept of independence in the framework of possibility theory. Our approach to defining conditional independence relationships is based on comparing conditional possibility measures. Different comparison criteria are presented, based on the ideas of `not to modify', `not to gain', and `to obtain similar' information after conditioning. For each definition of independence considered, an axiomatic study has been carried out. Moreover, there are different operators to define conditional possibility measures, which are related to different views of possibility theory. Particularly, in the first part of the paper, we use Hisdal conditioning (whereas Dempster conditioning will be used in the second part). Finally, we study the marginal problem for possibility measures and, as an application, we show that it is possible to store large n-dimensional possibility distributions efficiently, using independence relationships among variables. (C) 1999 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {de Campos, LM (Corresponding Author), Univ Granada, Dept Ciencias Computac \& Inteligencia Artificial, E-18071 Granada, Spain. Univ Granada, Dept Ciencias Computac \& Inteligencia Artificial, E-18071 Granada, Spain.}, DOI = {10.1016/S0165-0114(97)00160-7}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {independence; possibility theory; Hisdal conditioning; marginal problem}, Keywords-Plus = {CONDITIONAL-INDEPENDENCE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {lci@decsai.ugr.es}, Affiliations = {University of Granada}, ResearcherID-Numbers = {de Campos, Luis/B-7436-2012 Huete, Juan/C-2428-2012}, ORCID-Numbers = {de Campos, Luis/0000-0001-9125-1195 Huete, Juan/0000-0002-9970-7705}, Cited-References = {{[}Anonymous], P 10 C UNC ART INT U. {[}Anonymous], P 11 C UNC ART INT U. {[}Anonymous], P 10 C UNC ART INT U. BENFERHAT S, 1994, 11 EUR C ART INT, P150. DAWID AP, 1979, J ROY STAT SOC B MET, V41, P1. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {31}, Times-Cited = {47}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {169BB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000078726700010}, DA = {2026-04-14}, } @article{ WOS:000332979900001, Author = {Wang, Xiandong and He, Jianmin and Li, Shouwei}, Title = {Compound Option Pricing under Fuzzy Environment}, Journal = {JOURNAL OF APPLIED MATHEMATICS}, Year = {2014}, Abstract = {Considering the uncertainty of a financial market includes two aspects: risk and vagueness; in this paper, fuzzy sets theory is applied to model the imprecise input parameters (interest rate and volatility). We present the fuzzy price of compound option by fuzzing the interest and volatility in Geske's compound option pricing formula. For each alpha, the alpha-level set of fuzzy prices is obtained according to the fuzzy arithmetics and the definition of fuzzy-valued function. We apply a defuzzification method based on crisp possibilistic mean values of the fuzzy interest rate and fuzzy volatility to obtain the crisp possibilistic mean value of compound option price. Finally, we present a numerical analysis to illustrate the compound option pricing under fuzzy environment.}, Publisher = {HINDAWI LTD}, Address = {ADAM HOUSE, 3RD FLR, 1 FITZROY SQ, LONDON, W1T 5HF, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Wang, XD (Corresponding Author), Changzhou Inst Technol, Sch Sci, Changzhou 213002, Jiangsu, Peoples R China. Wang, Xiandong, Changzhou Inst Technol, Sch Sci, Changzhou 213002, Jiangsu, Peoples R China. Wang, Xiandong; He, Jianmin; Li, Shouwei, Southeast Univ, Sch Econ \& Management, Nanjing 211189, Jiangsu, Peoples R China.}, DOI = {10.1155/2014/875319}, Article-Number = {875319}, ISSN = {1110-757X}, EISSN = {1687-0042}, Keywords-Plus = {BLACK-SCHOLES FORMULA; JUMP-DIFFUSION-MODEL; EUROPEAN OPTIONS; VALUATION; NUMBERS; AMERICAN; UNCERTAINTY; SETS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics, Interdisciplinary Applications}, Author-Email = {wxd.06@163.com}, Affiliations = {Changzhou Institute of Technology; Southeast University - China}, Funding-Acknowledgement = {Natural Science Foundation of China {[}71071034, 71201023]; Funding of Jiangsu Innovation Program for Graduate Education {[}CXZZ 13-0140]}, Funding-Text = {This research is supported by the Natural Science Foundation of China (71071034 and 71201023) and the Funding of Jiangsu Innovation Program for Graduate Education (CXZZ 13-0140). 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Math.}, Doc-Delivery-Number = {AD1FQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000332979900001}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000923159100001, Author = {Denoeux, Thierry}, Title = {Reasoning with fuzzy and uncertain evidence using epistemic random fuzzy sets: General framework and practical models}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {453}, Pages = {1-36}, Month = {FEB 15}, Abstract = {We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random fuzzy sets are combined by the generalized product-intersection rule, which extends both Dempster's rule for combining belief functions, and the product conjunctive combination of possibility distributions. We introduce Gaussian random fuzzy numbers and their multi-dimensional extensions, Gaussian random fuzzy vectors, as practical models for quantifying uncertainty about scalar or vector quantities. Closed-form expressions for the combination, projection and vacuous extension of Gaussian random fuzzy numbers and vectors are derived.(c) 2022 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Denoeux, T (Corresponding Author), Univ Technol Compiegne, Rue Roger Couttolenc,CS 60319, F-60203 Compiegne, France. Denoeux, Thierry, Univ Technol Compiegne, CNRS, UMR Heudiasyc 7253, Compiegne, France. Denoeux, Thierry, Inst Univ France, Paris, France. Denoeux, Thierry, Univ Technol Compiegne, Rue Roger Couttolenc,CS 60319, F-60203 Compiegne, France.}, DOI = {10.1016/j.fss.2022.06.004}, EarlyAccessDate = {DEC 2022}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Belief functions; Evidence theory; Possibility theory; Random sets; Uncertainty}, Keywords-Plus = {BELIEF FUNCTION JUSTIFICATION; EXTENSIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Thierry.Denoeux@utc.fr}, Affiliations = {Universite de Technologie de Compiegne; Centre National de la Recherche Scientifique (CNRS); Institut Universitaire de France; Universite de Technologie de Compiegne}, ORCID-Numbers = {Denoeux, Thierry/0000-0002-0660-5436}, Cited-References = {Gil MA, 2006, FUZZY SET SYST, V157, P2546, DOI 10.1016/j.fss.2006.05.002. Bromiley P.A, 2014, 2003003 TINA, V1. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {38}, Times-Cited = {42}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {8K5RQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000923159100001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000331500500006, Author = {Mohammadi, M. and Torabi, S. A. and Tavakkoli-Moghaddam, R.}, Title = {Sustainable hub location under mixed uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2014}, Volume = {62}, Pages = {89-115}, Month = {FEB}, Abstract = {This paper addresses a novel sustainable hub location problem (SHLP) in which two new environmental-based cost functions accounting for air and noise pollution of vehicles are incorporated. To cope with uncertain data incorporated in the model, a mixed possibilistic-stochastic programming approach is proposed to construct the crisp counterpart. A simulated annealing (SA) and an imperialist competitive algorithm (ICA) with a new solution representation are developed to solve real-sized instances whose performances are compared with a proposed lower bound. Finally, some computational experiments are provided to demonstrate the effectiveness of the proposed model and solution approaches. (C) 2013 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Mohammadi, M.; Torabi, S. A.; Tavakkoli-Moghaddam, R., Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran.}, DOI = {10.1016/j.tre.2013.12.005}, ISSN = {1366-5545}, Keywords = {Hub location problem; Sustainability; Mixed possibilistic-stochastic programming; Meta-heuristics}, Keywords-Plus = {INTERMODAL FREIGHT TRANSPORT; SUPPLY-CHAIN MANAGEMENT; ENVIRONMENTAL-MANAGEMENT; FACILITY LOCATION; OPERATIONS; MODEL; LOGISTICS; NETWORK; DESIGN; OPTIMIZATION}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {mehrdadmohamadi@ut.ac.ir satorabi@utac.ir tavakoli@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Torabi, S. 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Rev.}, Doc-Delivery-Number = {AB0RT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000331500500006}, DA = {2026-04-14}, } @article{ WOS:001065495600001, Author = {Shahabi-Shahmiri, Reza and Kyriakidis, Thomas S. and Ghasemi, Mohammad and Mirnezami, Seyed-Ali and Mirjalili, Seyedali}, Title = {A robust chance-constrained programming approach for a bi-objective pre-emptive multi-mode resource-constrained project scheduling problem with time crashing}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2023}, Volume = {10}, Number = {1}, Month = {DEC 31}, Abstract = {The presented study proposes a novel bi-objective mixed integer linear programming (MILP) framework for the multi-mode resource-constrained project scheduling problem (MRCPSP) with pre-emptive and non-preemptive activities splitting under uncertain conditions. Minimising the project makespan and resource costs are the considered objectives. Renewable and non-renewable resources along with different modes are taken into account for activities implementation. Additionally, some activities can be crashed by consuming additional renewable and non-renewable resources. Model uncertainty is efficiently addressed by utilising a fuzzy chance constrained programming (CPP) method as well as extending two robust possibilistic programming models. The capability of the presented mathematical framework is validated using problem instances from PSPLIB (j10, j14, j20, and j30) and MMLIB (MM50 and MM100). Finally, a detailed computational comparison is presented to assess the performance of the two robust possibilistic programming models.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kyriakidis, TS (Corresponding Author), Univ Western Macedonia, Dept Elect \& Comp Engn, Kozani 50100, Greece. Shahabi-Shahmiri, Reza, Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran. Kyriakidis, Thomas S., Univ Western Macedonia, Dept Elect \& Comp Engn, Kozani, Greece. Ghasemi, Mohammad; Mirnezami, Seyed-Ali, Shahed Univ, Fac Engn, Dept Ind Engn, Tehran, Iran. Mirjalili, Seyedali, Torrens Univ Australia, Ctr Artificial Intelligence Res \& Optimisat, Brisbane, Australia. Kyriakidis, Thomas S., Univ Western Macedonia, Dept Elect \& Comp Engn, Kozani 50100, Greece. Mirjalili, Seyedali, Obuda Univ, Univ Res \& Innovat Ctr, H-1034 Budapest, Hungary.}, DOI = {10.1080/23302674.2023.2253147}, Article-Number = {2253147}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {MRCPSP; activity preemption; time crashing; robust chance constrained programming; time-cost trade-off}, Keywords-Plus = {GENETIC ALGORITHM; TRADE-OFFS; OPTIMIZATION; FORMULATIONS; MODEL}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {tkiriakidis@uowm.gr}, Affiliations = {University of Tehran; University of Western Macedonia; Shahed University; Torrens University Australia; University of Western Macedonia; Obuda University}, ResearcherID-Numbers = {Ghasemi, Mohammad/LQK-0864-2024 Mirjalili, Seyedali/P-1372-2018}, ORCID-Numbers = {Shahabi-Shahmiri, Reza/0009-0008-3659-2227 Mirnezami, Seyed Ali/0009-0000-4742-2989 Kyriakidis, Thomas/0000-0001-5664-2473 Ghasemi, Mohammad/0000-0002-4255-3098 Mirjalili, Seyedali/0000-0002-1443-9458}, Funding-Acknowledgement = {The authors would like to thank the Editor-in-Chief, Associate Editor, and anonymous reviewers for their valuable comments on this presentation for remarkable improvement. The authors would also like to express their gratitude to Ms. Fateme Nazeri and Ms.}, Funding-Text = {The authors would like to thank the Editor-in-Chief, Associate Editor, and anonymous reviewers for their valuable comments on this presentation for remarkable improvement. The authors would also like to express their gratitude to Ms. Fateme Nazeri and Ms. Fateme Zarei for their provision of data, as well as Dr. Hasan Shirzadi for the final validation of the obtained results.}, Cited-References = {Abdel-Basset M, 2020, COMPUT IND ENG, V141, DOI 10.1016/j.cie.2020.106286. Afshar MR, 2022, INT J CONSTR MANAG, V22, P357, DOI 10.1080/15623599.2019.1623992. Afshar-Nadjafi Behrouz, 2018, Applied Computing and Informatics, V14, P192, DOI 10.1016/j.aci.2014.02.003. Ameri Z, 2019, SOFT COMPUT, V23, P12821, DOI 10.1007/s00500-019-03835-5. Aouam T, 2019, COMPUT OPER RES, V105, P167, DOI 10.1016/j.cor.2019.01.012. Aramesh S, 2023, INT J ENVIRON SCI TE, V20, P87, DOI 10.1007/s13762-022-04377-4. 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Logist.}, Doc-Delivery-Number = {R6NE1}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001065495600001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000274202900079, Author = {Sadjadi, S. J. and Ghazanfari, M. and Yousefli, A.}, Title = {Fuzzy pricing and marketing planning model: A possibilistic geometric programming approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2010}, Volume = {37}, Number = {4}, Pages = {3392-3397}, Month = {APR}, Abstract = {During the past few years, many people have been interested in integrated production and marketing planning strategies where demand and cost functions, both, depend on different parameters such as price and marketing expenditure. The primary concern on all previous models is the difficulty on estimating the model parameters such price and marketing elasticity to demand. In this paper, we propose a new possibilistic model which makes it easy to build the overall model based on experts' opinions. The proposed model is formulated in fuzzy geometric programming and the fuzzy decision is made using the recent advances on optimization techniques. We also design a fuzzy logic controller to facilitate the decision making process. The implementation of the proposed model is demonstrated using two numerical examples. (C) 2009 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Yousefli, A (Corresponding Author), Iran Univ Sci \& Technol, Dept Ind Engn, Tehran, Iran. Sadjadi, S. J.; Ghazanfari, M.; Yousefli, A., Iran Univ Sci \& Technol, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.eswa.2009.10.009}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Optimal pricing; Possibilistic geometric programming; Fuzzy programming; Marketing planning; Fuzzy logic controller}, Keywords-Plus = {ORDER QUANTITY MODEL; UNIT PRODUCTION COST; SPACE CONSTRAINT; INVENTORY MODEL; EOQ MODEL; PARAMETERS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ayousefli@ind.iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Yousefli, Amir/CAF-6108-2022 Sadjadi, Seyed jafar/S-8969-2018 Sadjadi, Seyed Jafar/S-8969-2018 Ghazanfari, Mehdi/P-3540-2018}, ORCID-Numbers = {Sadjadi, Seyed jafar/0000-0002-9069-5453 Sadjadi, Seyed Jafar/0000-0002-5151-8315 Ghazanfari, Mehdi/0000-0002-7308-7691}, Cited-References = {CHENG TCE, 1989, EUR J OPER RES, V40, P252, DOI 10.1016/0377-2217(89)90334-2. 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Sadjadi SJ, 2005, COMPUT OPTIM APPL, V30, P195, DOI 10.1007/s10589-005-4564-8. TANAKA H, 1984, IEEE T SYST MAN CYB, V14, P325, DOI 10.1109/TSMC.1984.6313219. Tanaka H, 2000, FUZZY SET SYST, V113, P323, DOI 10.1016/S0165-0114(98)00463-1. Tanaka H., 1997, P 7 INT FUZZY SYSTEM, V3, P48. Zimmermann H.J., 2001, Fuzzy Set Theory-and Its Applications.}, Number-of-Cited-References = {19}, Times-Cited = {34}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {551JB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000274202900079}, DA = {2026-04-14}, } @article{ WOS:000237168600003, Author = {Lacagnina, V and Pecorella, A}, Title = {A stochastic soft constraints fuzzy model for a portfolio selection problem}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {10}, Pages = {1317-1327}, Month = {MAY 16}, Abstract = {The financial market behavior is affected by several non-probabilistic factors such as vagueness and ambiguity. In this paper we develop a multistage stochastic soft constraints fuzzy program with recourse in order to capture both uncertainty and imprecision as well as to solve a portfolio management problem. The results we obtained confirm the studies carried out in literature addressed to integrate stochastic and possibilistic programming. (C) 2005 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Pecorella, A (Corresponding Author), Univ Palermo, Dipartimento Sci Stat \& Matemat Silvio Vianelli, Viale Sci, I-90128 Palermo, Italy. Univ Palermo, Dipartimento Sci Stat \& Matemat Silvio Vianelli, I-90128 Palermo, Italy.}, DOI = {10.1016/j.fss.2005.10.002}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {stochastic programming; fuzzy programming; portfolio management}, Keywords-Plus = {OPTIMIZATION; MANAGEMENT; PROGRAMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {ricopa@unipa.it tonpec@unipa.it}, Affiliations = {University of Palermo}, ResearcherID-Numbers = {Lacagnina, Valerio/M-1835-2015}, ORCID-Numbers = {Lacagnina, Valerio/0000-0003-4011-0442}, Cited-References = {BIRGE JR, 1985, OPER RES, V33, P989, DOI 10.1287/opre.33.5.989. Dantzig G.B., 1961, P 4 BERKELEY S MATH, V1, P165. Dupacová J, 2002, EUR J OPER RES, V140, P281, DOI 10.1016/S0377-2217(02)00070-X. GOLUB B, 1995, EUR J OPER RES, V85, P282, DOI 10.1016/0377-2217(94)00038-E. 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Zimmermann H.-J., 1991, Fuzzy Set Theory and its Applications, DOI {[}10.1007/978-94-015-7949-0, DOI 10.1007/978-94-015-7949-0]. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {20}, Times-Cited = {48}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {037SY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000237168600003}, DA = {2026-04-14}, } @article{ WOS:000309867200004, Author = {Confalonieri, Roberto and Nieves, Juan Carlos and Osorio, Mauricio and Vazquez-Salceda, Javier}, Title = {Dealing with explicit preferences and uncertainty in answer set programming}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2012}, Volume = {65}, Number = {2-3, SI}, Pages = {159-198}, Month = {JUL}, Abstract = {In this paper, we show how the formalism of Logic Programs with Ordered Disjunction (LPODs) and Possibilistic Answer Set Programming (PASP) can be merged into the single framework of Logic Programs with Possibilistic Ordered Disjunction (LPPODs). The LPPODs framework embeds in a unified way several aspects of common-sense reasoning, nonmonotonocity, preferences, and uncertainty, where each part is underpinned by a well established formalism. On one hand, from LPODs it inherits the distinctive feature of expressing context-dependent qualitative preferences among different alternatives (modeled as the atoms of a logic program). On the other hand, PASP allows for qualitative certainty statements about the rules themselves (modeled as necessity values according to possibilistic logic) to be captured. In this way, the LPPODs framework supports a reasoning which is nonmonotonic, preference- and uncertainty-aware. The LPPODs syntax allows for the specification of (1) preferences among the exceptions to default rules, and (2) necessity values about the certainty of program rules. As a result, preferences and uncertainty can be used to select the preferred uncertain default rules of an LPPOD and, consequently, to order its possibilistic answer sets. Furthermore, we describe the implementation of an ASP-based solver able to compute the LPPODs semantics.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Confalonieri, R (Corresponding Author), Univ Toulouse 3, IRIT, 118 Route Narbonne, F-31062 Toulouse 9, France. Confalonieri, Roberto, Univ Toulouse 3, IRIT, F-31062 Toulouse 9, France. Nieves, Juan Carlos, Umea Univ, Dept Comp Sci, S-90187 Umea, Sweden. Osorio, Mauricio, Univ Amer Puebla, Dept Actuaria Fis \& Matemat, Sta Catarina Martir 72820, Cholula Puebla, Mexico. Vazquez-Salceda, Javier, Univ Politecn Cataluna, Dept Llenguatges \& Sistemes Informat, ES-08034 Barcelona, Spain.}, DOI = {10.1007/s10472-012-9311-0}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords = {Possibilistic answer set programming; Uncertain nonmonotonic reasoning; Explicit preferences}, Keywords-Plus = {LOGIC PROGRAMS; SEMANTICS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {roberto.confalonieri@gmail.com jcnieves@cs.umu.se osoriomauri@googlemail.com jvazquez@lsi.upc.edu}, Affiliations = {Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Umea University; Universitat Politecnica de Catalunya}, ResearcherID-Numbers = {Vazquez-Salceda, Javier/B-4289-2012 Confalonieri, Roberto/AAB-4359-2021 Nieves, Juan/G-1762-2012}, ORCID-Numbers = {Vazquez-Salceda, Javier/0000-0003-1732-9446 Confalonieri, Roberto/0000-0003-0936-2123 }, Cited-References = {{[}Anonymous], P 26 C UNC ART INT U. 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Math, V5, P285, DOI {[}10.2140/pjm.1955.5.285, DOI 10.2140/PJM.1955.5.285]. van Dalen Dirk., 1994, LOGIC STRUCTURE, V3rd.}, Number-of-Cited-References = {49}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Ann. Math. Artif. Intell.}, Doc-Delivery-Number = {021ED}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000309867200004}, DA = {2026-04-14}, } @article{ WOS:000316643600002, Author = {Li, Ting and Zhang, Weiguo and Xu, Weijun}, Title = {Fuzzy possibilistic portfolio selection model with VaR constraint and risk-free investment}, Journal = {ECONOMIC MODELLING}, Year = {2013}, Volume = {31}, Pages = {12-17}, Month = {MAR}, Abstract = {We propose a possibilistic portfolio model with VaR constraint and risk-free investment based on the possibilistic mean and variance, while assuming that the expected rate of returns is a fuzzy number. The model shows more clearly that, in the financial market affected by several non-probabilistic factors, risk-averse investors wish not only to reach the expected rate of returns in their actual investment, but also to assure that the maximum of their possible future risk is lower than an expected loss. Under the condition that the expected rate of returns is a normal distribution fuzzy variable, we proposed a theorem as the solution, and derive a crisp equivalent form of the possibilistic portfolio under constraints of VaR and risk-free investment. This model is an expansion of the fuzzy possibilistic mean-variance model by Zhang (2007). Finally, an empirical study is carried out using the data concerning some stocks of various industries listed at the Shanghai Stock Exchange. A conclusion is reached that the investors are able to choose a portfolio more suitable to them under the VaR constraint. (C) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Xu, WJ (Corresponding Author), S China Univ Technol, Sch Business Adm, 381 Wushan Rd, Guangzhou 510641, Guangdong, Peoples R China. Li, Ting; Zhang, Weiguo; Xu, Weijun, S China Univ Technol, Sch Business Adm, Inst Govt Decis Making \& Performance Evaluat, Guangzhou 510640, Guangdong, Peoples R China. Li, Ting, Ningxia Univ, Sch Math \& Comp Sci, Ningxia 750021, Peoples R China.}, DOI = {10.1016/j.econmod.2012.11.032}, ISSN = {0264-9993}, EISSN = {1873-6122}, Keywords = {Fuzzy number; Value at risk; Possibilistic mean; Possibilistic variance; Portfolio}, Keywords-Plus = {MEAN-VALUE; VARIANCE; NUMBERS}, Research-Areas = {Business \& Economics}, Web-of-Science-Categories = {Economics}, Author-Email = {L.ting@nxu.edu.cn wgzhang@scut.edu.cn xuwj@scut.edu.cn}, Affiliations = {South China University of Technology; Ningxia University}, Cited-References = {Alexander GJ, 2004, MANAGE SCI, V50, P1261, DOI 10.1287/mnsc.1040.0201. Alexander GJ, 2002, J ECON DYN CONTROL, V26, P1159, DOI 10.1016/S0165-1889(01)00041-0. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. Duffie D., 1997, J DERIV, V4, P7, DOI DOI 10.3905/JOD.1997.407971. 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Watada J., 1997, Tatra Mountains Mathematical Publications, V13, P219. Xu WD, 2010, J RISK, V12, P29, DOI 10.21314/JOR.2010.210. Xu WJ, 2010, INT J UNCERTAIN FUZZ, V18, P759, DOI 10.1142/S0218488510006787. Zdenek, 2005, INT REV FINANC ANAL, V14, P263. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2010, ECON MODEL, V27, P208, DOI 10.1016/j.econmod.2009.08.008. Zhang WG, 2003, LECT NOTES ARTIF INT, V2639, P398.}, Number-of-Cited-References = {26}, Times-Cited = {14}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {32}, Journal-ISO = {Econ. Model.}, Doc-Delivery-Number = {113CK}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000316643600002}, DA = {2026-04-14}, } @article{ WOS:000297169900009, Author = {Liang, Tien-Fu}, Title = {Integrated manufacturing/distribution planning decisions with multiple imprecise goals in an uncertain environment}, Journal = {QUALITY \& QUANTITY}, Year = {2012}, Volume = {46}, Number = {1}, Pages = {137-153}, Month = {JAN}, Abstract = {This work presents a possibilistic linear programming (PLP) method for solving the integrated manufacturing/distribution planning decision (MDPD) problems with multiple imprecise goals in supply chains under an uncertain environment. The imprecise PLP model designed here aims to simultaneously minimize total net costs and total delivery time with reference to available supply, capacities, labor levels, quota flexibility and cost budget constraints at each source, as well as forecast demand and warehouse space at each destination. The proposed method achieves greater computational efficiency by employing the simplified triangular distribution to represent imprecise numbers. An industrial case is used to demonstrate the feasibility of applying the proposed method to a real MDPD problem. Overall, the proposed PLP method provides a practical means of solving the multi-objective MDPD problems in an uncertain environment, and can effectively improve manufacturer/ distributor relationships in a supply chain.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liang, TF (Corresponding Author), Hsiuping Inst Technol, Dept Ind Engn \& Management, 11 Gungye Rd, Dali City 412, Taichung, Taiwan. Hsiuping Inst Technol, Dept Ind Engn \& Management, Dali City 412, Taichung, Taiwan.}, DOI = {10.1007/s11135-010-9333-9}, ISSN = {0033-5177}, EISSN = {1573-7845}, Keywords = {Manufacturing/distribution planning decisions; Possibilistic linear programming; Supply chains; Fuzzy set; Multi-objective linear programming}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; SUPPLY CHAIN; FUZZY APPROACH; SIMULATION; SELECTION; FORMULATION; ALGORITHM; DESIGN; MODELS}, Research-Areas = {Social Sciences - Other Topics; Mathematics}, Web-of-Science-Categories = {Social Sciences, Interdisciplinary; Statistics \& Probability}, Author-Email = {farmer@mail.hit.edu.tw}, Cited-References = {Abd El-Wahed WF, 2006, OMEGA-INT J MANAGE S, V34, P158, DOI 10.1016/j.omega.2004.08.006. {[}Anonymous], IIE T. {[}Anonymous], EUROPEAN J OPERATION. Beamon BM, 1998, INT J PROD ECON, V55, P281, DOI 10.1016/S0925-5273(98)00079-6. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. 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VASANT P, 2003, FUZZY OPTIM DECIS MA, V3, P229, DOI DOI 10.1023/A:1025094504415. Wang JT, 2005, FUZZY SET SYST, V150, P107, DOI 10.1016/j.fss.2004.07.005. Wang RC, 2005, INT J PROD ECON, V98, P328, DOI 10.1016/j.ijpe.2004.09.011. Wang RC, 2004, COMPUT IND ENG, V46, P17, DOI 10.1016/j.cie.2003.09.009. Wang RC, 2001, EUR J OPER RES, V133, P521, DOI 10.1016/S0377-2217(00)00196-X. Xie Y, 2006, INT J PROD ECON, V102, P37, DOI 10.1016/j.ijpe.2005.01.016. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {51}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Qual. Quant.}, Doc-Delivery-Number = {850BR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000297169900009}, DA = {2026-04-14}, } @article{ WOS:001355238000001, Author = {Liu, Yong-Jun}, Title = {Multi-period fuzzy portfolio selection model with preference-regret criterion}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2025}, Volume = {24}, Number = {1}, Pages = {1-27}, Month = {MAR}, Abstract = {In this paper, we explore a preference-regret decision problem for multi-period portfolio selection in a fuzzy environment. To do this, we first define a possibilistic preference-regret measure to quantify an investor's regret for not holding the ex-post best-performing strategy. Then, we present a possibilistic preference-regret model with real investment constraints for multi-period fuzzy portfolio selection. In our proposed model, we assume that the investor aims to identify an optimal investment strategy that maximizes the cumulative possibilistic preference-regret concerning portfolio returns over the entire investment horizon. To enhance the practicality of our model, we incorporate several real-world investment constraints, including transaction costs, cardinality constraint, dependency constraint, and budget constraint. Furthermore, we develop an improved co-evolutionary particle swarm optimization algorithm to solve our proposed model. Finally, we conduct a comparative analysis using a numerical example to demonstrate the practicality of our model and validate the effectiveness of the solution algorithm.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), South China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China. Liu, Yong-Jun, South China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China.}, DOI = {10.1007/s10700-024-09437-7}, EarlyAccessDate = {NOV 2024}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Multi-period portfolio selection; Fuzzy return; Preference-regret criterion; Real features; ICPSO algorithm}, Keywords-Plus = {VARIANCE}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {yjlgx0202@126.com}, Affiliations = {South China University of Technology}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71971086]; National Natural Science Foundation of China {[}2019B151502037]; Guangdong Basic and Applied Basic Research Foundation {[}CGPY202402]; Fundamental Research Funds for the Central Universities}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (No. 71971086), the Guangdong Basic and Applied Basic Research Foundation (No. 2019B151502037) and the Fundamental Research Funds for the Central Universities (No. CGPY202402).}, Cited-References = {Aquino LD, 2023, EUR J OPER RES, V310, P773, DOI 10.1016/j.ejor.2023.03.017. 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Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023.}, Number-of-Cited-References = {25}, Times-Cited = {1}, Usage-Count-Last-180-days = {5}, Usage-Count-Since-2013 = {28}, Journal-ISO = {Fuzzy Optim. Decis. Mak.}, Doc-Delivery-Number = {0YX3V}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001355238000001}, DA = {2026-04-14}, } @article{ WOS:000463983300002, Author = {Tsao, Yu-Chung and Vo-Van Thanh}, Title = {A multi-objective mixed robust possibilistic flexible programming approach for sustainable seaport-dry port network design under an uncertain environment}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2019}, Volume = {124}, Pages = {13-39}, Month = {APR}, Abstract = {This paper develops a multi-objective mixed robust possibilistic flexible programming (MOMRPFP) approach for the sustainable dry port network design under uncertain environment. The optimal number, location, and capacity of dry ports, and the optimal number of containers transferred through dry ports are determined with minimizing the economic costs and environmental and social impacts. Finally, numerical analyses indicate that the total network cost decrease about 1.14\% with the proposed approach. Moreover, the MOMRPFP approach improves the efficiency about the average computational time for large-sized networks with the presence of uncertainty in flexible objective functions and constraints as well as in data.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tsao, YC (Corresponding Author), Natl Taiwan Univ Sci \& Technol, Dept Ind Management, Taipei, Taiwan. Tsao, Yu-Chung; Vo-Van Thanh, Natl Taiwan Univ Sci \& Technol, Dept Ind Management, Taipei, Taiwan.}, DOI = {10.1016/j.tre.2019.02.006}, ISSN = {1366-5545}, Keywords = {Sustainability; Seaport-dry port; CO2 emission; Social cost; Fuzzy multi-objective; Robust optimization}, Keywords-Plus = {SUPPLY CHAIN; OPTIMIZATION MODEL; FREIGHT TRANSPORT; LOCATION; DEMAND; COSTS; GREEN}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {yctsao@mail.ntust.edu.tw}, Affiliations = {National Taiwan University of Science \& Technology}, ORCID-Numbers = {Tsao, Yu-Chung/0000-0001-5058-8728 Vo, Van Thanh/0000-0001-5027-5684}, Funding-Acknowledgement = {Ministry of Science and Technology in Taiwan {[}105-2221-E-011-099-MY3]}, Funding-Text = {This paper is supported in part by the Ministry of Science and Technology in Taiwan under grant 105-2221-E-011-099-MY3.}, Cited-References = {Ambrosino D, 2016, RES TRANSP BUS MANAG, V19, P106, DOI 10.1016/j.rtbm.2016.05.001. 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Vahdani B, 2013, APPL MATH MODEL, V37, P3254, DOI 10.1016/j.apm.2012.07.021. Wei J., 2010, ADV WIRELESS NETWORK, V72, P265, DOI DOI 10.1007/978-3-642-14350-2\_33. Xu M, 2013, INT J ADV COMPUT TEC, V5. Yang LX, 2016, TRANSPORT RES B-METH, V83, P271, DOI 10.1016/j.trb.2015.11.010. Zahiri B, 2014, TRANSPORT RES E-LOG, V72, P101, DOI 10.1016/j.tre.2014.09.007.}, Number-of-Cited-References = {68}, Times-Cited = {89}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {99}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {HS6LL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000463983300002}, DA = {2026-04-14}, } @article{ WOS:001229304400002, Author = {Tolgari, Fatemeh Shekoohi and Zarrinpoor, Naeme}, Title = {A robust reverse pharmaceutical supply chain design considering perishability and sustainable development objectives}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2024}, Volume = {340}, Number = {2-3}, Pages = {981-1033}, Month = {SEP}, Abstract = {The pharmaceutical supply chain (PSC) is a highly important strategic issue in the healthcare domain because of its significant effect on human wellbeing and healthcare costs. This paper provides a mathematical optimization model to design a PSC by considering the drug's corruption. Given the importance of the sustainable development goals, three objectives are considered: economic, social, and environmental. The cost of fixed installation, transportation, holding, collection, distribution, recycling and disposal is reduced by the economic objective. A reduction in greenhouse gas emissions, water use, and nonrenewable energy consumption is achieved by the environmental objective. Based on the social objective, the number of employment opportunities, economic growth, job satisfaction, and national self-sufficiency are all increased, while the number of days lost due to work-related accidents decreases. To achieve the weight of elements in environmental and social objectives, the fuzzy best-worst method is used. Due to the inherent uncertainty in the PSC, its main parameters are referred to as unpredictable, which calls for a robust optimization approach to eliminate the model parameters' uncertainty. A fuzzy programming approach is used to solve the developed model. Numerical evidence drawn from a practical case shows that the suggested model is efficacious and valid. We suggest that the priorities and challenges of sustainable growth contribute to the determination of the PSC's managerial and operational characteristics.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zarrinpoor, N (Corresponding Author), Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran. Tolgari, Fatemeh Shekoohi; Zarrinpoor, Naeme, Shiraz Univ Technol, Dept Ind Engn, Shiraz, Iran.}, DOI = {10.1007/s10479-024-05871-3}, EarlyAccessDate = {MAY 2024}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Perishable pharmaceutical supply chain; Sustainable development goals; Uncertainty; Robust optimization; Fuzzy best-worst method}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; NETWORK REDESIGN; MARKET LAUNCH; MODEL; OPTIMIZATION; MANAGEMENT; SYSTEM; SUBSTITUTABILITY; UNCERTAINTY; PRODUCTS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {F.Shokoohi@sutech.ac.ir zarrinpoor@sutech.ac.ir}, Affiliations = {Shiraz University of Technology}, ORCID-Numbers = {zarrinpoor, naeme/0000-0002-3002-9512 Shekoohi Tolgari, Fatemeh/0009-0004-8582-3504}, Cited-References = {Abedini A., 2019, J PAYAVARD SALAMAT, V13, P45. 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Zarrinpoor N, 2021, J CLEAN PROD, V299, DOI 10.1016/j.jclepro.2021.126672.}, Number-of-Cited-References = {75}, Times-Cited = {11}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {24}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {E4M8W}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001229304400002}, DA = {2026-04-14}, } @article{ WOS:001607744300003, Author = {Todkar, Aniket Sarjerao and Dhodiya, Jayesh Mohan}, Title = {Sustainable fixed-charge fuzzy multi-objective 5D shortest path problem using aspiration level-based NSGAS: application to aquatic fish haul system}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2025}, Volume = {59}, Number = {5}, Pages = {3375-3401}, Month = {NOV 4}, Abstract = {Sustainability encompasses the interaction between environmental, economic, and social systems at various levels. In transportation systems, vehicles rely on different fuels to meet energy demands. However, these fuels contribute to environmental pollution by releasing greenhouse gases. Considering this context, the present study investigates a sustainable fixed-charge multi-objective multi-driver multi-route multi-conveyance shortest path problem (FCMOMDMRMCSPP). The primary intent is to identify the most efficient route that minimizes cost, time, risk, carbon emissions, and distance while traveling between sources and destinations. Real-world scenarios often involve uncertainties, making it difficult to precisely define the parameters of FCMOMDMRMCSPP. Triangular fuzzy numbers are introduced in the proposed model to address this ambiguity. The possibilistic programming approach is employed to transform the fuzzy problem into a deterministic one. The resulting deterministic model is then solved using two multi-objective genetic algorithms (MOGAs): aspiration level (AL)-based non-dominated sorting genetic algorithm (NSGA)-II and NSGA-III. An aquatic fish haul system problem has been examined as an application within the framework of the proposed model. For alpha = 0 and 0.1, the AL-based NSGA-II and III generate 6, 11, and 4 solutions that satisfy the decision-maker's (DM's) ALs in cases I, II, and III of the AL and shape parameter combination, respectively. Similarly, for alpha = 0.5, these methods yield 5, 11, and 4 solutions, while for alpha = 0.9, they provide 6, 11, and 4 solutions for the same cases. A comparative analysis is conducted between the compromise solutions obtained from the proposed techniques and those derived from the hybrid genetic algorithm, NSGA-II and NSGA-III. A sensitivity analysis of the objective functions concerning the shape parameter and AL is also performed. Finally, the coverage performance measure is computed to assess the effectiveness of the proposed methods.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Todkar, AS (Corresponding Author), SV Natl Inst Technol, Dept Math, Surat 395007, Gujarat, India. Todkar, AS (Corresponding Author), Warana Univ, Tatyasaheb Kore Inst Engn \& Technol, Warananagar 416113, India. Todkar, Aniket Sarjerao; Dhodiya, Jayesh Mohan, SV Natl Inst Technol, Dept Math, Surat 395007, Gujarat, India. Todkar, Aniket Sarjerao, Warana Univ, Tatyasaheb Kore Inst Engn \& Technol, Warananagar 416113, India.}, DOI = {10.1051/ro/2025129}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Multi-objective shortest path problem; aspiration level; genetic algorithm; NSGA-II; NSGA-III}, Keywords-Plus = {ALGORITHM}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {anikettodkar1001@gmail.com}, Affiliations = {National Institute of Technology (NIT System); Sardar Vallabhbhai National Institute of Technology}, ORCID-Numbers = {Todkar, Aniket/0000-0003-2481-1898 Dhodiya, Jayesh/0000-0001-9675-412X}, Cited-References = {Agnihotri S, 2023, SOFT COMPUT, V27, P5641, DOI 10.1007/s00500-022-07646-z. Bagheri M, 2021, COMPLEX INTELL SYST, V7, P725, DOI 10.1007/s40747-020-00234-4. Barman A, 2023, RAIRO-OPER RES, V57, P2279, DOI 10.1051/ro/2023105. 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A non-normalized possibility measure of an information source is considered as the credibility that the source is able to provide reliable information for decision making, and it can be learned from the training data of a particular application.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {YAN, BL (Corresponding Author), UNIV MISSOURI, DEPT ELECT \& COMP ENGN, COLUMBIA, MO 65211 USA.}, DOI = {10.1016/0165-0114(94)90233-X}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {SEMINORMED POSSIBILITY INTEGRALS; MODELING; DECISION MAKING; PATTERN RECOGNITION; MULTICRITERIA ANALYSIS}, Keywords-Plus = {FUZZY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {GARCIA FS, 1986, FUZZY SET SYST, V18, P67, DOI 10.1016/0165-0114(86)90028-X. HARALICK RM, 1973, IEEE T SYST MAN CYB, VSMC3, P610, DOI 10.1109/TSMC.1973.4309314. KELLER J, 1986, P NAFIPS. MIZUMOTO M, 1989, FUZZY SET SYST, V32, P45, DOI 10.1016/0165-0114(89)90087-0. OHTA Y, 1980, COMPUT VISION GRAPH, V13, P222, DOI 10.1016/0146-664X(80)90047-7. YAN BL, 1993, FUZZY SET SYST, V57, P239, DOI 10.1016/0165-0114(93)90164-D. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {7}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {MW158}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1994MW15800006}, DA = {2026-04-14}, } @article{ WOS:001391704900001, Author = {Veluchamy, Suresh Kumar and Lakshmanan, Karthikeyan and Nalini, S. and Pranav, K. R. Naghul and Sethuraman, Ravikumar}, Title = {Minimizing Portfolio Risk with Fuzzy Neural Networks and Pelican Optimization with Levy Flight}, Journal = {NETWORKS \& SPATIAL ECONOMICS}, Year = {2025}, Volume = {25}, Number = {1}, Pages = {249-283}, Month = {MAR}, Abstract = {Portfolio selection aims to construct a portfolio that increases expected returns with satisfactory risk levels. The risk measurement is considered the most important part of making an investment decision. However, delays and interruptions may occur during the portfolio selection process, and several transaction costs make the problem critical. In the conventional approaches, the management of risk and returns was found as difficult before the portfolio optimization process. The existing studies that use a single prediction model or utility-based solution are insufficient to provide an efficient solution regarding the accurate possibilistic distribution of the return rates. To overcome these drawbacks, a novel Fuzzy Neural Network-based Pelican Optimization with the Levy Flight method is proposed that optimizes the risk associated with the portfolio selection process. The main objective is to diminish various uncertainties and computational problems associated with portfolio selection. The historical stock data from the Bombay Stock Exchange is utilized for analysis and the uncertain asset returns are modeled as trapezoidal fuzzy numbers. A Fuzzy Neural Network model is utilized for the prediction of optimal portfolios by studying the relationship between the output metrics and input features. The hyperparameters of the Fuzzy Neural Network are tuned by the Pelican optimization with levy flight (POLF) algorithm for effective uncertainty modeling and portfolio optimization. The Pelican optimization with levy flight (POLF) algorithm helps the Fuzzy Neural Network model to improve the expected return and reduce the risk of the portfolio. The integration of the Levy Flight concept into the Pelican optimization algorithm balances between exploitation and exploration effectively and significantly improves the convergence rate with the diverse set of solutions obtained globally. Finally, the proposed Fuzzy Neural Network-based Pelican Optimization with Levy Flight (FNN-POLF) approach's efficiency in solving portfolio issues is demonstrated using real-time traded stock details of the Bombay Stock Exchange and analyzed in terms of different performance evaluation criteria such as portfolio return, portfolio risk rate, fitness value, portfolio curvature, and risk distance. The outcomes illustrate that the proposed Fuzzy Neural Network-based Pelican Optimization with Levy Flight (FNN-POLF) model offers improved performance with a lower portfolio risk ratio, higher portfolio return, exercise value, portfolio skewness, and risk distance.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Sethuraman, R (Corresponding Author), JAIN, Fac Engn \& Technol, Dept Comp Sci \& Engn, Bengaluru 562112, Karnataka, India. Veluchamy, Suresh Kumar, Saveetha Univ, Saveetha Inst Med \& Tech Sci, Saveetha Sch Engn, Dept Elect \& Commun Engn, Chennai 602105, India. Lakshmanan, Karthikeyan, Saveetha Univ, Saveetha Inst Med \& Tech Sci, Saveetha Sch Engn, Dept Comp Sci \& Engn, Chennai 602105, Tamilnadu, India. Nalini, S., Anna Univ, Univ Coll Engn, Dept Comp Sci \& Engn, BIT Campus, Tiruchirappalli 24, India. Pranav, K. R. Naghul, SRM Inst Sci \& Technol, Sch Comp, Dept Comp Technol, Chennai 603203, India. Sethuraman, Ravikumar, JAIN, Fac Engn \& Technol, Dept Comp Sci \& Engn, Bengaluru 562112, Karnataka, India.}, DOI = {10.1007/s11067-024-09663-x}, EarlyAccessDate = {JAN 2025}, ISSN = {1566-113X}, EISSN = {1572-9427}, Keywords = {Optimal portfolio selection; Fuzzy neural network; Pelican optimization with levy flight; Expected return; Risk}, Research-Areas = {Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Operations Research \& Management Science; Transportation Science \& Technology}, Author-Email = {dr.sravikumarit@gmail.com}, Affiliations = {Saveetha Institute of Medical \& Technical Science; Saveetha School of Engineering; Saveetha Institute of Medical \& Technical Science; Saveetha School of Engineering; Anna University; SRM Institute of Science \& Technology Chennai; Jain University}, ResearcherID-Numbers = {Shankarnarayanan, Nalini/JCE-7458-2023 Sethuraman, Ravikumar/M-3946-2014 V, Suresh Kumar/AAN-4789-2020 Lakshmanan, Karthikeyan/AAP-4322-2020}, ORCID-Numbers = {K R, Naghul Pranav/0009-0000-4421-6709 Sethuraman, Ravikumar/0000-0002-1350-1889 }, Cited-References = {Abbasi H, 2024, INT J SYST ASSUR ENG, V15, P3629, DOI 10.1007/s13198-023-02074-0. 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Pan WW, 2019, SCIENTOMETRICS, V121, P1407, DOI 10.1007/s11192-019-03256-z. Salb MNUDE, 2024, SCI AFR, V24, DOI 10.1016/j.sciaf.2024.e02166. Soto J, 2019, INT J FUZZY SYST, V21, P1629, DOI 10.1007/s40815-019-00642-w. Trojovsky P, 2022, SENSORS-BASEL, V22, DOI 10.3390/s22030855. Wang Z, 2022, BORSA ISTANB REV, V22, P69, DOI 10.1016/j.bir.2021.01.004. Xiao YJ, 2022, IEEE ACCESS, V10, P17768, DOI 10.1109/ACCESS.2022.3149838. Zhang YF, 2022, IEEE T KNOWL DATA EN, V34, P236, DOI 10.1109/TKDE.2020.2979700. Zhou W, 2018, KNOWL-BASED SYST, V144, P21, DOI 10.1016/j.knosys.2017.12.020. Zhu JL, 2019, Journal of Physics Conference Series, V1213, P042009, DOI {[}10.1088/1742-6596/1213/4/042009, 10.1088/1742-6596/1213/4/042009].}, Number-of-Cited-References = {46}, Times-Cited = {3}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Netw Spat. Econ.}, Doc-Delivery-Number = {2DJ0T}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001391704900001}, DA = {2026-04-14}, } @article{ WOS:000473117300005, Author = {Li, Hong-Quan and Yi, Zhi-Hong}, Title = {Portfolio selection with coherent Investor's expectations under uncertainty}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2019}, Volume = {133}, Pages = {49-58}, Month = {NOV 1}, Abstract = {Fuzzy portfolio selection is effective in coping with the uncertainty in financial decision making, in which investor's expectation plays an important role. In this paper, to capture the coherence of the investor's expectation we develop a new trapezoidal fuzzy numbers with an adaptive index, through which the membership degrees for favorable and unfavorable scenarios are transformed consistently to avoid the logical confusion. We also present the possibilistic expected mean, variance and skewness under the new measurement. Then, the new trapezoidal fuzzy numbers are employed in fuzzy mean-variance model and mean-variance-skewness model for optimal asset allocation. The validity and advantages of these models can be illustrated by the numerical examples in the end. (C) 2019 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Yi, ZH (Corresponding Author), Jiangxi Univ Finance \& Econ, Coll Modern Econ \& Management, Nanchang, Jiangxi, Peoples R China. Li, Hong-Quan, Hunan Normal Univ, Coll Business, Changsha, Hunan, Peoples R China. Yi, Zhi-Hong, Jiangxi Univ Finance \& Econ, Coll Modern Econ \& Management, Nanchang, Jiangxi, Peoples R China.}, DOI = {10.1016/j.eswa.2019.05.008}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy portfolio selection; The mean-variance-skewness model; Coherence; Investor's expectations}, Keywords-Plus = {FUZZY; MODEL; VARIANCE}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {hqli@hunnu.edu.cn yizhihong1206@163.com}, Affiliations = {Hunan Normal University; Jiangxi University of Finance \& Economics}, ResearcherID-Numbers = {Yi, Zhihong/AAX-6907-2020 }, ORCID-Numbers = {Yi, Zhihong/0000-0003-0209-8139 Li, Hongquan/0000-0001-5469-2282}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71473081, 71871092]; Science and Technology Project of Jiangxi Provincial Educational Department of China {[}GJJ151602]; Humanities and Social Sciences Projects for Universities in Jiangxi Province of China {[}GL18212]}, Funding-Text = {The work is supported by National Natural Science Foundation of China under Grants 71473081 and 71871092, and Science and Technology Project of Jiangxi Provincial Educational Department of China under Grant GJJ151602, and Humanities and Social Sciences Projects for Universities in Jiangxi Province of China under Grant GL18212.}, Cited-References = {{[}Anonymous], FUZZY PORTFOLIO OPTI. 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Liu YJ, 2013, INSUR MATH ECON, V53, P704, DOI 10.1016/j.insmatheco.2013.09.005. Tsaur RC, 2013, EUR J OPER RES, V227, P385, DOI 10.1016/j.ejor.2012.10.036. Vercher E, 2013, IEEE T FUZZY SYST, V21, P585, DOI 10.1109/TFUZZ.2012.2227487. Wang S., 2002, Fuzzy Optimization and Decision Making, V1, P361. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang WG, 2007, APPL MATH LETT, V20, P1167, DOI 10.1016/j.aml.2007.03.002. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030.}, Number-of-Cited-References = {20}, Times-Cited = {42}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {46}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {IF5JO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000473117300005}, DA = {2026-04-14}, } @article{ WOS:000869739700001, Author = {Saltos, R. and Pedrycz, W.}, Title = {Possibilistic max-mean dispersion problem}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2022}, Volume = {19}, Number = {5}, Pages = {1-15}, Month = {OCT}, Abstract = {The Max-Mean Dispersion Problem comprises selecting a subset of elements from a set while maximising the average of a measure of dispersion. We usually compute this measure of dispersion based on some distance metric between the elements of the candidate set. However, in real-world applications, this measure of dispersion could be ill-defined or vague. For example, consider the problem of building a team to execute some kinds of project. We can see the dispersion between the members of the team as the team chemistry, so the coach is interested in maximising this chemistry. In this example, it would be very difficult to compute exactly a dispersion measure for each candidate. This is due to the lack of information about how well the candidates worked together in the past. To cope with imprecise or vague information, in this paper, we propose three mixed integer linear programming models based on possibility, necessity, and credibility measures. To the best of our knowledge, this is the first approach which explicitly considers this type of uncertainty in this optimisation problem.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Saltos, R (Corresponding Author), Univ Pacific, Fac Innovac \& Tecnol, Km 7 5 Via Costa, Guayaquil, Ecuador. Saltos, R., Univ Pacific, Fac Innovac \& Tecnol, Km 7 5 Via Costa, Guayaquil, Ecuador. Pedrycz, W., Univ Alberta, Dept Elect \& Comp Engn, Edmonton, AB T6R 2V4, Canada.}, DOI = {10.22111/IJFS.2022.7153}, ISSN = {1735-0654}, EISSN = {2676-4334}, Keywords = {Fuzzy sets; possibility theory; uncertainty; max -mean dispersion problem}, Keywords-Plus = {TABU SEARCH; DIVERSITY PROBLEM; FUZZY-SETS; ALGORITHM; SELECTION}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {ramiro.saltos@upacifico.edu.ec wpedrycz@ualberta.ca}, Affiliations = {Universidad del Pacifico Ecuador; University of Alberta}, ResearcherID-Numbers = {Pedrycz, Witold/HJZ-2779-2023 Saltos, Ramiro/AAH-6634-2020 }, ORCID-Numbers = {Saltos Atiencia, Ramiro/0000-0001-6051-4028}, Funding-Acknowledgement = {National Natural Science Foundation of China; {[}62076182]}, Funding-Text = {Acknowledgements This work was supported in part by the National Natural Science Foundation of China under Grant 62076182 (W. Pedrycz) . The authors are grateful to the anonymous reviewers who contributed to improving the quality of the original paper.}, Cited-References = {Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BORTOLAN G, 1985, FUZZY SET SYST, V15, P1, DOI 10.1016/0165-0114(85)90012-0. Brimberg J, 2017, INFORM SCIENCES, V382, P179, DOI 10.1016/j.ins.2016.12.021. Carrasco R, 2015, KNOWL-BASED SYST, V85, P256, DOI 10.1016/j.knosys.2015.05.011. CHARNES A, 1959, MANAGE SCI, V6, P73, DOI 10.1287/mnsc.6.1.73. Cura T, 2019, COMPUT IND ENG, V135, P628, DOI 10.1016/j.cie.2019.06.045. De SK, 2016, J INTELL FUZZY SYST, V31, P469, DOI 10.3233/IFS-162160. Della Croce F, 2016, COMPUT OPER RES, V71, P16, DOI 10.1016/j.cor.2016.01.003. DUBOIS D, 1983, INFORM SCIENCES, V30, P183, DOI 10.1016/0020-0255(83)90025-7. Dubois D., 1988, POSSIBILITY THEORY. Dubois D.J., 1980, Fuzzy sets and systems: theory and applications, V144. 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Safi MR, 2007, IRAN J FUZZY SYST, V4, P31. Shafer G., 1976, MATH THEORY EVIDENCE, V1, DOI 10.1515/9780691214696. Song JW, 2019, J HEURISTICS, V25, P731, DOI 10.1007/s10732-018-9398-5. Talon A, 2017, EXPERT SYST APPL, V70, P160, DOI 10.1016/j.eswa.2016.09.004. Yang X, 2011, IRAN J FUZZY SYST, V8, P1. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.J., 2001, FUZZY SET THEORY ITS, DOI {[}10.1007/978-94-010-0646-0, DOI 10.1007/978-94-010-0646-0].}, Number-of-Cited-References = {44}, Times-Cited = {1}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Iran. J. Fuzzy. Syst.}, Doc-Delivery-Number = {5K5AX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000869739700001}, DA = {2026-04-14}, } @article{ WOS:000187914600002, Author = {Rossant, F and Bloch, I}, Title = {A fuzzy model for optical recognition of musical scores}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2004}, Volume = {141}, Number = {2}, Pages = {165-201}, Month = {JAN 16}, Abstract = {Optical music recognition aims at reading automatically scanned scores in order to convert them in an electronic format, such as a midi file. We only consider here classical monophonic music: we exclude any music written on several staves, but also any music that contains chords. In order to overcome recognition failures due to the lack of methods dealing with structural information, non-local rules and corrections, we propose a recognition approach integrating structural information in the form of relationships between symbols and of musical rules. Another contribution of this paper is to solve ambiguities by accounting for sources of imprecision and uncertainty, within the fuzzy set and possibility theory framework. We add to a single symbol analysis several rules for checking the consistency of hypotheses: graphical consistency (compatibility between accidental and note, between grace note and note, between note and augmentation dot, etc.), and syntactic consistency (accidentals, tonality, metric). All these rules are combined in order to lead to better decisions. Experimental results on 65 music sheets show that our approach leads to very good results, and is able to correct errors made by other approaches, such as the one of SmartScore. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Bloch, I (Corresponding Author), Ecole Natl Super Telecommun Bretagne, TSI, CNRS, URA 820, 46,Rue Barrault, F-75013 Paris, France. Ecole Natl Super Telecommun Bretagne, TSI, CNRS, URA 820, F-75013 Paris, France. Inst Super Elect Paris, F-75006 Paris, France.}, DOI = {10.1016/S0165-0114(03)00094-0}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {optical music recognition; image processing; pattern recognition; fuzzy sets and possibility theory; flexible rules; fusion; structural music information}, Keywords-Plus = {PRINTED MUSIC}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {florence.rossant@isep.fr isabelle.bloch@enst.fr}, Affiliations = {Centre National de la Recherche Scientifique (CNRS); IMT - Institut Mines-Telecom; IMT Atlantique}, ORCID-Numbers = {Rossant, Florence/0000-0003-2517-5213}, Cited-References = {ARMAND JP, 1993, 2 INT C DOC AN REC, P906. Bloch I, 1996, IEEE T SYST MAN CY A, V26, P52, DOI 10.1109/3468.477860. Bloch I, 2000, STUD FUZZ SOFT COMP, V41, P429. BLOCH I, 1997, AGGREGATION FUSION I, P189. 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WATKINS G, 1996, N AM FUZZ INF PROC S, P415.}, Number-of-Cited-References = {22}, Times-Cited = {10}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {761NJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Arts & Humanities Citation Index (A&HCI)}, Unique-ID = {WOS:000187914600002}, DA = {2026-04-14}, } @article{ WOS:001465041500001, Author = {Talaei, Mohammad and Torshizi, Ehsan}, Title = {A robust possibilistic programming approach for selecting a clustering-based index tracking portfolio}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2025}, Volume = {279}, Month = {JUN 15}, Abstract = {Traditional mathematical index tracking models increase computational complexity and are not suitable for different capital market conditions. To overcome the problems related to the estimation of stock market asset returns, this study proposes a methodology based on the clustering optimization model of index tracking for Tehran Stock Exchange. The proposed model is developed by imposing turnover and buy-in threshold constraints to provide investment conditions. Then, to further converge the problem towards real conditions, the optimization model is implemented with the approaches of possibilistic chance-constrained programming and robust possibilistic programming to deal with the uncertainty of the model parameters. The parameters of portfolio size and correlation coefficients between pairs of stocks are uncertain, and fuzzy and robust uncertainty frameworks are used to control them. The Pearson's correlation coefficient is used as a similarity operator for the index tracking problem. A real-world case study using Tehran Stock Exchange data is conducted to verify the applicability of the proposed methodology. Several sensitivity analyses have been performed on the optimization model results to prove its theoretical and operational capabilities. These analyses include comparing the proposed model with other similar models, examining the impact of key parameters on the results, evaluating the model under different capital market conditions, and demonstrating the model's performance in certain and uncertain situations. Finally, Based on the findings, the advantages and achievements of the methodology are stated.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Talaei, M (Corresponding Author), Islamic Azad Univ, Coll Engn, Sci \& Res Branch, Ind Engn Grp, Tehran, Iran. Talaei, Mohammad, Islamic Azad Univ, Coll Engn, Sci \& Res Branch, Ind Engn Grp, Tehran, Iran. Torshizi, Ehsan, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.eswa.2025.127545}, EarlyAccessDate = {APR 2025}, Article-Number = {127545}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Index tracking; Clustering; Possibilistic programming; Chance constraint; Robust optimization}, Keywords-Plus = {OPTIMIZATION MODEL; LINEAR-MODEL; TIME-SERIES; CONSTRAINTS; ERROR; PRICE}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {moha.talaei@gmail.com ehsantorshizi@ut.ac.ir}, Affiliations = {Islamic Azad University; University of Tehran}, ResearcherID-Numbers = {Talaei, Mohammad/ABE-2201-2021}, ORCID-Numbers = {Torshizi, Ehsan/0009-0001-8762-3651 Talaei, Mohammad/0000-0002-7698-0039}, Cited-References = {Beasley JE, 2003, EUR J OPER RES, V148, P621, DOI 10.1016/S0377-2217(02)00425-3. 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Appl.}, Doc-Delivery-Number = {1HI6L}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001465041500001}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:A1991GW52700005, Author = {KOHOUT, LJ and ANDERSON, J and BANDLER, W and BEHROOZ, A and SONG, G and TRAYNER, C}, Title = {ACTIVITY STRUCTURE BASED ARCHITECTURES FOR KNOWLEDGE-BASED SYSTEMS .1. DYNAMICS OF LOCALIZED FUZZY INFERENCE AND ITS INTERACTION WITH PLANNING}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1991}, Volume = {44}, Number = {3}, Pages = {405-420}, Month = {DEC 16}, Abstract = {The paper describes in some detail the structure of inference in a generic family of multi-context knowledge-based systems of CLINAID architectural type. It also pays attention to the locality of inference and to time-dependence aspects of inference and planning. The planning process is formalized by means of possibilistic meta-axioms.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {KOHOUT, LJ (Corresponding Author), FLORIDA STATE UNIV,INST EXPERT SYST \& ROBOT,TALLAHASSEE,FL 32306, USA. FLORIDA STATE UNIV,DEPT COMP SCI,TALLAHASSEE,FL 32306. UNIV LONDON KINGS COLL,SCH MED \& DENT,LONDON WC2R 2LS,ENGLAND. FLORIDA STATE UNIV,INST COGNIT SCI,TALLAHASSEE,FL 32306. MIDDLESEX POLYTECH,MIDDLESEX BUSINESS SCH,SCH COMP \& INFORMAT SYST,LONDON NW4 4BT,ENGLAND. NO JIAOTONG UNIV,DEPT COMP SCI,BEIJING,PEOPLES R CHINA. UNIV ESSEX,DEPT SYST \& ELECTR,COLCHESTER CO4 3SQ,ESSEX,ENGLAND.}, DOI = {10.1016/0165-0114(91)90246-M}, ISSN = {0165-0114}, Keywords = {KNOWLEDGE-BASED SYSTEM; FUZZY RELATIONAL INFERENCE; PLANNING; TRIANGULAR PRODUCTS OF RELATIONS; ACTIVITY STRUCTURES; UNCERTAINTY IN REASONING; LOCAL LOGICS; MEDICAL EXPERT SYSTEMS; TEMPORAL LOGICS}, Keywords-Plus = {IMPLICATION OPERATORS; SEMANTICS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {State University System of Florida; Florida State University; University of London; King's College London; State University System of Florida; Florida State University; Middlesex University; Beijing Jiaotong University; University of Essex}, Cited-References = {ANDERSON J, 1987, FUZZY SET SYST, V23, P89, DOI 10.1016/0165-0114(87)90102-3. ANDERSON J, 1983, CCA M RECORDS. ANDERSON J, 1985, P AAMSI, P187. 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TRAYNER C, 1983, WORKSHOP FUZZY SETS.}, Number-of-Cited-References = {52}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GW527}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:A1991GW52700005}, DA = {2026-04-14}, } @article{ WOS:000835136700001, Author = {Dehshiri, Seyyed Jalaladdin Hosseini and Amiri, Maghsoud and Olfat, Laya and Pishvaee, Mir Saman}, Title = {Multi-objective closed-loop supply chain network design: A novel robust stochastic, possibilistic, and flexible approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2022}, Volume = {206}, Month = {NOV 15}, Abstract = {Nowadays, the production of stone paper, in addition to its widespread utilization in various fields, does not require water consumption, cutting down trees, and stone paper products are easily recyclable and recoverable. Due to the importance of developing and using stone paper and paying attention to environmental matters, Closed-Loop Supply Chain Network Design (CLSCND) is very important for stone paper products. Moreover, due to epistemic, randomness uncertainties, the uncertainties in Objective Function (OF), and the flexible constraints for CLSCND in the real world, this paper introduces a novel Mixed Robust Stochastic, Possibilistic, and Flexible Programming (MRSPFP) approach based on credibility theory. The different attitudes of the Decision-Makers (DMs) are addressed by a more flexible measurement of the optimistic and pessimistic parameters using the criterion of credibility. In the study, a comprehensive procedure is proposed for stone paper CLSCND, to mini-mize costs, increase responsiveness by minimizing transit time between different facilities, and regarding environmental concerns into account through minimizing carbon emissions. The model is solved utilizing an interactive fuzzy programming solution procedure and the Best-Worst Method (BWM). The results of sensitivity analysis, the effect of changing the problem parameters, and the performance of the proposed model are investigated and compared. The results show that the MRSPFP model has a better performance compared to other previous models. The MRSPFP model performs better in strategic decisions that require high investment costs due to the minimization of the absolute deviation of OF from its mean. Also, the applied results of the study show that CLSCND has a good capability and potential for sustainable development in the field of stone paper.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Amiri, M (Corresponding Author), Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran. Dehshiri, Seyyed Jalaladdin Hosseini; Amiri, Maghsoud; Olfat, Laya, Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran. Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.eswa.2022.117807}, EarlyAccessDate = {JUN 2022}, Article-Number = {117807}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Closed-loopsupplychainnetworkdesign; Flexibleprogramming; Possibilisticprogramming; Robuststochasticprogramming; Credibilitytheory}, Keywords-Plus = {PROGRAMMING APPROACH; REVERSE LOGISTICS; FUZZY NUMBERS; MODEL; OPTIMIZATION; GREEN; SYSTEM}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {j.hosseini@atu.ac.ir amiri@atu.ac.ir olfat@atu.ac.ir pishvaee@iust.ac.ir}, Affiliations = {Allameh Tabataba'i University; Iran University Science \& Technology}, ResearcherID-Numbers = {Hosseini Dehshiri, Seyyed Jalaladdin/HZH-9800-2023 Pishvaee, Mir/H-3450-2018 Amiri, Maghsoud/Z-3160-2019}, ORCID-Numbers = {Hosseini Dehshiri, Seyyed Jalaladdin/0000-0001-7031-1259 Amiri, Maghsoud/0000-0002-0650-2584}, Cited-References = {Aboytes-Ojeda M, 2022, EXPERT SYST APPL, V202, DOI 10.1016/j.eswa.2022.117285. 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Appl.}, Doc-Delivery-Number = {3M0GP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000835136700001}, DA = {2026-04-14}, } @article{ WOS:000185638500001, Author = {Bordley, RF}, Title = {Reformulating decision theory using fuzzy set theory and Shafer's theory of evidence}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2003}, Volume = {139}, Number = {2}, Pages = {243-266}, Month = {OCT 16}, Abstract = {Utilities and probabilities in decision theory are usually assessed by asking individuals to indicate their preferences between various uncertain choices. In this paper, we argue that (1) The utility of a consequence can be assessed as the membership function of the consequence in the fuzzy set `satisfactory'. (2) The probability of an event, instead of being directly assessed, should be inferred from the evidence associated with that event. The degree of evidence is quantified using Shaferian basic probability assignments. In addition, we use the Heisenberg Uncertainty Principle to argue for a change in one of the technical assumptions underlying decision theory. As a result of this change, some kinds of evidence will be observable in certain experiments but unobservable in others. Since probabilities are defined over the potential outcomes of an experiment, they will only be defined over some, but not all, the evidence. As a result, the probabilities associated with different experiments could be inconsistent. This formulation emphasizes the importance of new distinctions (and not just new information) in updating probabilities. We argue that this formulation addresses many of the observed empirical deviations between decision theory and experiment. It also addresses the anomalies of quantum physics. We close with a brief discussion of directions for further research. (C) 2002 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Bordley, RF (Corresponding Author), GM Corp, Knowledge Network, Renaissance Ctr, MC482-D08-B24,POB 100, Detroit, MI 48254 USA. GM Corp, Knowledge Network, Renaissance Ctr, Detroit, MI 48254 USA.}, DOI = {10.1016/S0165-0114(02)00515-8}, Article-Number = {PII S0165-0114(02)00515-8}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {decision analysis; possibility theory; non-additive measure; psychometry and measurement; quantum physics}, Keywords-Plus = {EXPECTED UTILITY; PROBABILITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {robert.bordley@gm.com}, Affiliations = {General Motors}, Cited-References = {Anderson S., 1992, DISCRETE CHOICE THEO, DOI DOI 10.7551/MITPRESS/2450.001.0001. {[}Anonymous], FDN STAT. {[}Anonymous], 1982, JUDGMENT UNCERTAINTY. {[}Anonymous], 1956, Foundations of the Theory of Probability. {[}Anonymous], 1989, Additive Representations of Preferences: A New Foundation of Decision Analysis. Birkhoff G, 1936, ANN MATH, V37, P823, DOI 10.2307/1968621. 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The generalized fuzzy measure is employed to develop a general theory of uncertain variables including: (1) uncertainty distributions (u.d.'s) of functions of uncertain variables; (2) expected value and variance: (3) marginal and joint u.d.'s; and (4) conditional u.d.'s. Numerous examples are presented showing the theory contains both discrete and continuous possibility theory and probability theory.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {BUCKLEY, JJ (Corresponding Author), UNIV ALABAMA, DEPT MATH, BIRMINGHAM, AL 35294 USA.}, DOI = {10.1016/0165-0114(92)90278-C}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {UNCERTAINTY; POSSIBILITY; PROBABILITY; FUZZY MEASURES}, Keywords-Plus = {FUZZY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {DUBOIS D, 1982, INT J GEN SYST, V8, P43, DOI 10.1080/03081078208934833. Dubois D., 1984, Control and Cybernetics, V13, P129. DUBOIS D, 1985, INFORM SCIENCES, V36, P85, DOI 10.1016/0020-0255(85)90027-1. RUDIN W., 1964, Principles of mathematical analysis, V3. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8].}, Number-of-Cited-References = {9}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {JM297}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992JM29700002}, DA = {2026-04-14}, } @article{ WOS:000525321800015, Author = {Tosarkani, Babak Mohamadpour and Amin, Saman Hassanzadeh and Zolfagharinia, Hossein}, Title = {A scenario-based robust possibilistic model for a multi-objective electronic reverse logistics network}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2020}, Volume = {224}, Month = {JUN}, Abstract = {Electronic reverse logistics topic has received growing attention because of its environmental and economic impact. In Canada, the province of Ontario has enacted regulations regarding the Waste Electrical and Electronic Equipment (WEEE) Recycling program. The objective of this study is to develop a novel scenario-based robust possibilistic approach to optimize and configure an electronic reverse logistics network by considering the uncertainty associated with fixed and variable costs, the quantity of demand and return, and the quality of returned products. A Monte Carlo simulation is utilized to analyze the performance of our proposed model. Then, ANOVA test is conducted to statistically verify our model using the simulation results. The mathematical model is extended to the multi-objective optimization by maximising the environmental compliance of the third parties. The efficient solutions of the multi-objective model are computed using the two-phase fuzzy compromise approach. To provide a comprehensive assessment of the problem under investigation, we provide sensitivity analyses on the impact of different factors (e.g., recovery rates, capacity of facilities) on the total expected profit. Several interesting results were obtained, including the fact that increasing the capacity of facilities does not automatically translate into higher profits. Furthermore, by comparing the efficient solutions of deterministic and robust modes, we illustrate the impact of robustness price on the multi-objective model. The application of the proposed model is illustrated using a network in the Greater Toronto Area (GTA) in Canada.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Amin, SH (Corresponding Author), Ryerson Univ, Dept Mech \& Ind Engn, Toronto, ON, Canada. Tosarkani, Babak Mohamadpour; Amin, Saman Hassanzadeh, Ryerson Univ, Dept Mech \& Ind Engn, Toronto, ON, Canada. Zolfagharinia, Hossein, Ryerson Univ, Ted Rogers Sch Management, 575 Bay St, Toronto, ON, Canada. Tosarkani, Babak Mohamadpour, Cape Breton Univ, Shannon Sch Business, Sydney, NS, Canada.}, DOI = {10.1016/j.ijpe.2019.107557}, Article-Number = {107557}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {Electronic reverse logistics; Third party selection; Robust possibilistic optimization; Scenario-based programming; Multi-objective programming}, Keywords-Plus = {LOOP SUPPLY CHAIN; FUZZY-PROGRAMMING APPROACH; FACILITY LOCATION MODEL; OPTIMIZATION MODEL; STOCHASTIC-MODEL; PRODUCT RECOVERY; UNCERTAIN DEMAND; LIFE VEHICLES; DESIGN; RISK}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {babak.mohamadpour@ryerson.ca saman.amin@ryerson.ca h.zolfagharinia@ryerson.ca}, Affiliations = {Toronto Metropolitan University; Toronto Metropolitan University; Cape Breton University}, ResearcherID-Numbers = {Mohamadpour Tosarkani, Babak/CAF-6880-2022}, ORCID-Numbers = {Zolfagharinia, Hossein/0000-0001-6403-0645 Hassanzadeh Amin, Saman/0000-0001-6173-7530 Mohamadpour Tosarkani, Babak/0000-0003-3386-7957}, Funding-Acknowledgement = {Natural Sciences and Engineering Research Council of Canada {[}RGPIN-2017-04434, RGPIN-2017-04481]}, Funding-Text = {The authors would like to thank the editor and reviewers for the great comments that improved the quality of the paper significantly. 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Econ.}, Doc-Delivery-Number = {LC4US}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000525321800015}, DA = {2026-04-14}, } @article{ WOS:000083258800002, Author = {Maleki, HR and Tata, M and Mashinchi, M}, Title = {Linear programming with fuzzy variables}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2000}, Volume = {109}, Number = {1}, Pages = {21-33}, Month = {JAN 1}, Abstract = {In practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either possibilistic programming or multiobjective programming methods. Unfortunately, all these methods have shortcomings. In this note, using the concept of comparison of fuzzy numbers, we introduce a very effective method for solving these problems. Then we propose a new method for solving linear programming problems with fuzzy variables. (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Mashinchi, M (Corresponding Author), Kerman Univ, Fac Math \& Comp Sci, Kerman, Iran. Kerman Univ, Fac Math \& Comp Sci, Kerman, Iran.}, DOI = {10.1016/S0165-0114(98)00066-9}, ISSN = {0165-0114}, Keywords = {linear programming; multiobjective programming; fuzzy number}, Keywords-Plus = {RANKING; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Kerman University of Medical Sciences}, ORCID-Numbers = {Maleki, Hamid Reza/0000-0001-7239-0480}, Cited-References = {Aliev RA, 1993, FUZZY SETS THEORY IT. {[}Anonymous], P N AM FUZZ INF PROC. Baldwin J. F., 1979, Fuzzy Sets and Systems, V2, P213, DOI 10.1016/0165-0114(79)90028-9. Bellman R. 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TONG SC, 1994, FUZZY SET SYST, V66, P301, DOI 10.1016/0165-0114(94)90097-3.}, Number-of-Cited-References = {15}, Times-Cited = {215}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {248CY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000083258800002}, DA = {2026-04-14}, } @article{ WOS:000237984000007, Author = {Coletti, Giulianella and Vantaggi, Barbara}, Title = {Possibility theory: Conditional independence}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {11}, Pages = {1491-1513}, Month = {JUN 1}, Abstract = {The subtle notion of conditioning is controversial in several contexts, for example in possibility theory where, in fact, different definitions have been introduced. We refer to a general axiomatic definition of conditional possibility and then we deal with ``partial assessments{''} on (not necessarily structured) domains containing only elements of interest. We study a notion of coherence, which assures the extendability of an assessment as a conditional possibility and we introduce a procedure for checking coherence. Moreover, we propose a definition of independence for conditional possibility, which avoids some counterintuitive situations, and we study its main properties in order to compare it with other definitions introduced in literature. Then, we check which properties among the graphoid ones are satisfied: this allows to compare our definition with other independence notions given in the context of other uncertainty formalisms. This analysis is relevant for graphical models in order to single out and visualize dependence relations among random variables. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vantaggi, B (Corresponding Author), Univ Roma La Sapienza, Dip Metodi \& Modelli Matemat, Via Scarpa 16, I-00161 Rome, Italy. Univ Roma La Sapienza, Dip Metodi \& Modelli Matemat, I-00161 Rome, Italy. Univ Perugia, Dipartimento Matemat \& Informat, I-06123 Perugia, Italy.}, DOI = {10.1016/j.fss.2006.01.003}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {possibility theory; coherence; conditional independence; logical independence; graphical models}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {coletti@dipmat.unipg.it vantaggi@dmmm.uniroma1.it}, Affiliations = {Sapienza University Rome; University of Perugia}, ResearcherID-Numbers = {Coletti, Giulianella/N-4935-2014 }, ORCID-Numbers = {Coletti, Giulianella/0000-0002-0152-1735 Vantaggi, Barbara/0000-0002-3651-3743}, Cited-References = {{[}Anonymous], P 10 C UNC ART INT U. Ben Amor N, 2005, INT J UNCERTAIN FUZZ, V13, P59, DOI 10.1142/S021848850500331X. Ben Amor N, 2002, INT J UNCERTAIN FUZZ, V10, P117, DOI 10.1142/S0218488502001387. BENFERHAT S, 1994, 11 EUR C ART INT, P150. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {34}, Times-Cited = {33}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {048ZB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000237984000007}, DA = {2026-04-14}, } @article{ WOS:000723784100004, Author = {Khaleghi, Amir and Eydi, Alireza}, Title = {Robust sustainable multi-period hub location considering uncertain time-dependent demand}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2021}, Volume = {55}, Number = {6}, Pages = {3541-3574}, Month = {NOV 25}, Abstract = {This paper presents a mathematical programming model for designing a sustainable continuous-time multi-period hub network considering time-dependent demand. The present model can be used in situations where the distribution of parameters related to the demand function is unknown, and we only can determine the range of changes of these parameters. To model these conditions, we consider interval uncertainty for the demand function parameters. The proposed model is a nonlinear multi-objective model. The objectives of the model cover economic, environmental, and social aspects of sustainability. These objectives include minimizing total costs, minimizing emissions, and maximizing fixed and variable job opportunities. We linearize the model by using some linearization techniques, and then, with the help of Bertsimas and Sim's method, we construct a robust counterpart of the model. We also present some valid inequalities to strengthen the formulation. To solve the proposed model, we use Torabi and Hassini method. From solving the proposed model, network design decisions and the best time to implement decisions during the planning horizon are determined. To validate the model, we solve a sample problem based on the Turkish dataset and compare the designed network in two cases: in the first case, the demand function parameters take nominal values, and in the second case, the value of these parameters can change up to 20\% of their nominal values. The results show that in the second case, the total capacity selected for hubs and hub links is greater than the first case. To investigate changes in objective functions to parameters level of conservatism and probability of constraints violation, we perform sensitivity analysis on these parameters in both single-objective and multi-objective optimization cases and report the results.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Eydi, A (Corresponding Author), Univ Kurdistan, Fac Engn, Sanandaj, Iran. Khaleghi, Amir, Univ Kurdistan, Fac Engn, Ind Engn, Sanandaj, Iran. Eydi, Alireza, Univ Kurdistan, Fac Engn, Sanandaj, Iran.}, DOI = {10.1051/ro/2021155}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Transportation; multi-period hub location; time-dependent demand; sustainability; robust optimization}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; SINGLE FACILITY LOCATION; NETWORK DESIGN; OPTIMIZATION APPROACH; WEIGHTS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {Alireza.eydi@uok.ac.it}, Affiliations = {University of Kurdistan; University of Kurdistan}, ResearcherID-Numbers = {eydi, alireza/AAS-7586-2020}, Cited-References = {Alumur S, 2008, EUR J OPER RES, V190, P1, DOI 10.1016/j.ejor.2007.06.008. Alumur SA, 2016, ANN OPER RES, V246, P289, DOI 10.1007/s10479-015-1805-9. Alumur SA, 2012, TRANSPORT RES E-LOG, V48, P1107, DOI 10.1016/j.tre.2012.04.001. 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Zetina CA, 2017, TRANSPORT RES B-METH, V106, P393, DOI 10.1016/j.trb.2017.06.008. Zhalechian M, 2017, ENG APPL ARTIF INTEL, V62, P1, DOI 10.1016/j.engappai.2017.03.006. Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002.}, Number-of-Cited-References = {67}, Times-Cited = {9}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {XF0QO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000723784100004}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:000170218400002, Author = {Liau, CJ and Liu, DR}, Title = {A possibilistic decision logic with applications}, Journal = {FUNDAMENTA INFORMATICAE}, Year = {2001}, Volume = {46}, Number = {3}, Pages = {199-217}, Month = {MAY}, Abstract = {In this paper, we investigate a knowledge representation formalism in the context of fuzzy data tables. A possibilistic decision logic incorporating linguistic terms is proposed for representing and reasoning about knowledge in fuzzy data tables. Two applications based on the logic are described. The first is the extraction of fuzzy rules from general fuzzy data tables. In this application, the knowledge in the tables may be made explicit by the formulas of the logic or used implicitly in decision-making. The second is for the fuzzy quantization problem of precise data tables. It can be viewed as a special case of the first, however, due to some special properties of the problem, a polynomial time rule extraction process can be obtained. Finally, the relationship of the logic with some works for handling uncertain information in data tables is also discussed.}, Publisher = {SAGE PUBLICATIONS INC}, Address = {2455 TELLER RD, THOUSAND OAKS, CA 91320 USA}, Type = {Article}, Language = {English}, Affiliation = {Liau, CJ (Corresponding Author), Acad Sinica, Inst Informat Sci, Taipei, Taiwan. Acad Sinica, Inst Informat Sci, Taipei, Taiwan. Natl Chiao Tung Univ, Inst Informat Management, Hsinchu, Taiwan.}, ISSN = {0169-2968}, EISSN = {1875-8681}, Keywords = {data table; decision table; decision logic; possibilistic decision logic; data analysis; rough set theory}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {liaucj@iis.sinica.edu.tw dliu@iim.nctu.edu.tw}, Affiliations = {Academia Sinica - Taiwan; National Yang Ming Chiao Tung University}, ResearcherID-Numbers = {Liau, Churn-Jung/AAI-7047-2020}, Cited-References = {{[}Anonymous], NONSTANDARD LOGICS A. DEMANTARAS RL, 1993, P 2 IEEE INT C FUZZ. Dubois D., 1994, Handbook of Logic in Artificial Intelligence and Logic Programming, V3, P439, DOI {[}DOI 10.1093/OSO/9780198537472.003.0009, 10.2307/420980, DOI 10.2307/420980]. KLEIN Y, 2000, INT SER INTELL TECHN, P131. KRUSE R, 1999, P 8 IEEE INT C FUZZ. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zadeh LA, 1996, IEEE T FUZZY SYST, V4, P103, DOI 10.1109/91.493904.}, Number-of-Cited-References = {22}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fundam. Inform.}, Doc-Delivery-Number = {458WL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000170218400002}, DA = {2026-04-14}, } @article{ WOS:001067355500001, Author = {Denaeux, Thierry}, Title = {Parametric families of continuous belief functions based on generalized Gaussian random fuzzy numbers}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {471}, Month = {NOV 15}, Abstract = {The theory of epistemic random fuzzy sets is a general theory of uncertainty encompassing both possibility theory and the Dempster-Shafer theory of belief functions as special cases. Within this framework, Gaussian random fuzzy numbers have recently been introduced as a practical model of uncertainty about real variables. However, the limited flexibility of this model does not allow it to represent all kinds of beliefs encountered in applications. In this paper, it is extended in two ways. First, we study one-to-one transformations of random fuzzy sets and show that such transformations commute with combination. This property allows us to define parametric families of easily combinable random fuzzy numbers and vectors on different frames based on the Gaussian model. We then go one step further by studying mixtures of random fuzzy variables, which provide a very flexible model making it possible to construct belief functions on continuous frames with arbitrary complexity. To demonstrate the applicability and practical interest of these models, two applications are studied: the elicitation of expert beliefs about numerical quantities, and generalized Bayesian inference with weak prior information represented by random fuzzy numbers.\& COPY; 2023 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Denaeux, T (Corresponding Author), Univ Technol Compiegne, CNRS, UMR Heudiasyc 7253, Compiegne, France. Denaeux, Thierry, Univ Technol Compiegne, CNRS, UMR Heudiasyc 7253, Compiegne, France. Denaeux, Thierry, Inst Univ France, Paris, France.}, DOI = {10.1016/j.fss.2023.108679}, EarlyAccessDate = {AUG 2023}, Article-Number = {108679}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Belief functions; Evidence theory; Possibility theory; Random fuzzy sets; Uncertainty; Statistical inference; Elicitation}, Keywords-Plus = {APPROXIMATION; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Thierry.Denoeux@utc.fr}, Affiliations = {Universite de Technologie de Compiegne; Centre National de la Recherche Scientifique (CNRS); Institut Universitaire de France}, ORCID-Numbers = {Denoeux, Thierry/0000-0002-0660-5436}, Cited-References = {AITCHISON J, 1980, BIOMETRIKA, V67, P261, DOI 10.2307/2335470. Aljarrah M., 2014, J STAT DISTRIBUTIONS, V1, P1, DOI {[}10.1186/2195-5832-1-2, DOI 10.1186/2195-5832-1-2]. 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Zadeh LotfiA., 1979, ADV FUZZY SET THEORY, P3, DOI DOI 10.1142/9789814261302\_0022.}, Number-of-Cited-References = {31}, Times-Cited = {12}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {R9GE1}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001067355500001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000263429400008, Author = {Kasperski, Adam and Kulej, Michal}, Title = {Choosing robust solutions in discrete optimization problems with fuzzy costs}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2009}, Volume = {160}, Number = {5}, Pages = {667-682}, Month = {MAR 1}, Abstract = {In this paper it wide class of discrete optimization problems, which can lie formulated as a 0-1 linear programming problem is discussed. It is assumed that the objective function costs are not precisely known. This uncertainty is modeled by specifying a finite set of fuzzy scenarios. Under every fuzzy scenario the costs,ire given as fuzzy intervals. Possibility theory is then applied to chose a solution in such a problem and mixed integer linear programming models are proposed to compute this Solution. (C) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kasperski, A (Corresponding Author), Wroclaw Univ Technol, Inst Ind Engn \& Management, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland. Kasperski, Adam; Kulej, Michal, Wroclaw Univ Technol, Inst Ind Engn \& Management, PL-50370 Wroclaw, Poland.}, DOI = {10.1016/j.fss.2008.09.001}, ISSN = {0165-0114}, Keywords = {Discrete optimization; Robust optimization; Fuzzy interval; Possibility theory; Minmax; Minmax regret}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; SPANNING TREE PROBLEM; MAX REGRET VERSIONS; INTERVAL DATA; MIN-MAX; COMPLEXITY; APPROXIMATION; ALGORITHM}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {adam.kasperski@pwr.wroc.pl}, Affiliations = {Wroclaw University of Science \& Technology}, ResearcherID-Numbers = {Kasperski, Adam/AAM-9099-2020}, ORCID-Numbers = {Kasperski, Adam/0000-0003-1956-1812}, Cited-References = {Ahuja R.K., 1993, NETWORK FLOWS THEORY, DOI DOI 10.5555/137406. Aissi H, 2005, LECT NOTES COMPUT SC, V3827, P789, DOI 10.1007/11602613\_79. 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Yu G, 1996, OPER RES, V44, P407, DOI 10.1287/opre.44.2.407. Yu G, 1998, COMPUT OPER RES, V25, P457, DOI 10.1016/S0305-0548(97)00085-3.}, Number-of-Cited-References = {32}, Times-Cited = {29}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {408IT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000263429400008}, DA = {2026-04-14}, } @article{ WOS:000326665300002, Author = {Yaghin, R. Ghasemy and Ghomi, S. M. T. Fatemi and Torabi, S. A.}, Title = {A possibilistic multiple objective pricing and lot-sizing model with multiple demand classes}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2013}, Volume = {231}, Pages = {26-44}, Month = {NOV 16}, Abstract = {We address an inventory-marketing system to determine the production lot size, marketing expenditure and selling prices where a firm faces demand from two or more market segments in which the firm can set different prices. Considering pricing, marketing and lot-sizing decisions simultaneously, the model maximizes the profit and return on inventory investment under multiple time varying demand classes. The model is formulated as a fuzzy non-linear multi-objective one where some parameters are ill-known and modeled by fuzzy numbers. A hybrid possibilistic-flexible programming approach is proposed to handle imprecise data and soft constraints concurrently. After transforming the original model into an equivalent multi-objective crisp model, it is then converted to a classical mono-objective one by a fuzzy goal programming method. An efficient solution procedure using particle swarm optimization (PSO) is also provided to solve the resulting non-linear problem. (C) 2012 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Ghomi, SMTF (Corresponding Author), Amirkabir Univ Technol, Dept Ind Engn, 424 Hafez Ave, Tehran 1591634311, Iran. Yaghin, R. Ghasemy; Ghomi, S. M. T. Fatemi, Amirkabir Univ Technol, Dept Ind Engn, Tehran 1591634311, Iran. Torabi, S. A., Univ Tehran, Coll Engn, Dept Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.fss.2012.11.012}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy mathematical programming; Lot-sizing; Market segmentation; Price differentiation; Fuzzy sets}, Keywords-Plus = {INVENTORY MODEL; FUZZY; CONSTRAINTS; INVESTMENT; OPERATIONS; RETURN; SETUP}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yaghin@aut.ac.ir fatemi@aut.ac.ir satorabi@ut.ac.ir}, Affiliations = {Amirkabir University of Technology; University of Tehran}, ResearcherID-Numbers = {Fatemi Ghomi, SMT/M-6574-2018 Yaghin, R./AGU-9039-2022 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Fatemi Ghomi, SMT/0000-0003-4363-994X Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {ABAD PL, 1988, DECISION SCI, V19, P622, DOI 10.1111/j.1540-5915.1988.tb00290.x. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {49}, Times-Cited = {20}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {248AE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000326665300002}, DA = {2026-04-14}, } @article{ WOS:A1996UK12400003, Author = {Kim, BJ and Bishu, RR}, Title = {On assessing operator response time in human reliability analysis (HRA) using a possibilistic fuzzy regression model}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {1996}, Volume = {52}, Number = {1}, Pages = {27-34}, Month = {APR}, Abstract = {Operator response times for off-normal events in nuclear power plants have been used to assess human failure probabilities. Usually, log-normal distribution is applied to the relation of response times and failure probabilities. In the literature there have been several studies on estimating the response times. Since the response times are affected by the performance shaping factors, a regression model can be applied to estimate the response times. The conventional regression model regards the deviations between the observed and estimated values as measurement errors. However, the deviations of the dependent variable, the response times can be dependent upon the fuzziness of the parameters for the independent variables, the performance shaping factors. In this research, possibilistic linear regression models have been used to assess fuzzy parameters and furthermore response times associated with the performance shaping factors. (C) 1996 Elsevier Science Limited.}, Publisher = {ELSEVIER SCI LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD, OXON, ENGLAND OX5 1GB}, Type = {Article}, Language = {English}, Affiliation = {UNIV NEBRASKA,DEPT IND \& MANAGEMENT SYST ENGN,LINCOLN,NE 68588.}, DOI = {10.1016/0951-8320(95)00148-4}, ISSN = {0951-8320}, Keywords-Plus = {RISK}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Affiliations = {University of Nebraska System; University of Nebraska Lincoln}, Cited-References = {APOSTOLAKIS G, 1984, NUCL TECHNOL, V64, P115, DOI 10.13182/NT84-A33335. APOSTOLAKIS G, 1980, NUCL ENG DES, V56, P321, DOI 10.1016/0029-5493(80)90133-8. APOSTOLAKIS G, 1985, RELIAB ENG SYST SAFE, V12, P93, DOI 10.1016/0143-8174(85)90087-3. APOSTOLAKIS G, 1982, NUCL ENG DES, V71, P375, DOI 10.1016/0029-5493(82)90110-8. 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THOMAS JC, 1989, IEEE SOFTWARE, V1, P78. Weston L., 1987, NUREGCR4834, V1. WORLEDGE DM, 1988, P IEEE 4 C HUM FACT, P315.}, Number-of-Cited-References = {24}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {UK124}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996UK12400003}, DA = {2026-04-14}, } @article{ WOS:000404324800007, Author = {Zahiri, Behzad and Zhuang, Jun and Mohammadi, Mehrdad}, Title = {Toward an integrated sustainable-resilient supply chain: A pharmaceutical case study}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2017}, Volume = {103}, Pages = {109-142}, Month = {JUL}, Abstract = {In this paper, a novel multi-objective integrated sustainable-resilient mixed integer linear programming model for designing a pharmaceutical supply chain network under uncertainty is presented. To cope with the uncertainty aspect of the model, a new fuzzy possibilistic-stochastic programming approach is developed. Additionally, due to NP hard nature of the problem, we propose a novel Pareto-based lower bound method as well as a new meta-heuristic algorithm. Several numerical examples, as well as a case study targeting Truvada(c) supply chain for the LGBTQ community, as they account for majority of the market for such product, in France is proposed. (C) 2017 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zahiri, B (Corresponding Author), SUNY Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY 14260 USA. Zahiri, Behzad, SUNY Buffalo, Sch Management, Dept Operat Management \& Strategy, Buffalo, NY 14260 USA. Zhuang, Jun, SUNY Buffalo, Dept Ind \& Syst Engn, Buffalo, NY USA. Mohammadi, Mehrdad, Ecole Mines St Etienne, Dept Mfg Sci \& Logist, CMP, CNRS,UMR,LIMOS 6158, 880 Ave Mimet, F-13541 Gardanne, France.}, DOI = {10.1016/j.tre.2017.04.009}, ISSN = {1366-5545}, Keywords = {Sustainability; Resiliency; Uncertainty; Pharmaceutical supply chain network design; HIV; LGBTQ}, Keywords-Plus = {EPSILON-CONSTRAINT METHOD; NETWORK DESIGN; BENDERS DECOMPOSITION; GLOBAL OPTIMIZATION; MANAGEMENT; ISSUES; ROBUST; MODEL; SELECTION; LOCATION}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {behzadza@buffalo.edu}, Affiliations = {State University of New York (SUNY) System; University at Buffalo, SUNY; State University of New York (SUNY) System; University at Buffalo, SUNY; Centre National de la Recherche Scientifique (CNRS); IMT - Institut Mines-Telecom; Mines Saint-Etienne}, ResearcherID-Numbers = {MOHAMMADI, Mehrdad/KIA-9696-2024 Zhuang, Jun/E-8081-2010}, ORCID-Numbers = {MOHAMMADI, Mehrdad/0000-0002-3726-8356 }, Funding-Acknowledgement = {United States National Science Foundation (NSF) {[}1334930]}, Funding-Text = {This research was supported by the United States National Science Foundation (NSF) under award number 1334930. 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Zhang WH, 2014, EUR J OPER RES, V234, P15, DOI 10.1016/j.ejor.2013.09.001.}, Number-of-Cited-References = {47}, Times-Cited = {246}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {122}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {EY9NH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000404324800007}, DA = {2026-04-14}, } @article{ WOS:000296214900093, Author = {Sahoo, N. C. and Ganguly, S. and Das, D.}, Title = {Fuzzy-Pareto-dominance driven possibilistic model based planning of electrical distribution systems using multi-objective particle swarm optimization}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2012}, Volume = {39}, Number = {1}, Pages = {881-893}, Month = {JAN}, Abstract = {This paper presents a fuzzy-Pareto dominance driven possibilistic model based planning of electrical distribution systems using multi-objective particle swarm optimization (MOPSO). This multi-objective planning model captures the possibilistic variations of the system loads using a fuzzy triangular number. The MOPSO based on the Pareto-optimality principle is used to obtain a set of non-dominated solutions representing different network structures under uncertainties in load demands and these non-dominated solutions are stored in an elite archive of limited size. Normally, choosing the candidate non-dominated solutions to be retained in the elite archive while maintaining the quality of the Pareto-approximation front as well as maintaining the diversity of solutions on this front is very much computationally demanding. In this paper, the principles of fuzzy Pareto-dominance are used to find out and rank the non-dominated solutions on the Pareto-approximation front. This ranking in turn is used to maintain the elite archive of limited size by discarding the lower ranked solutions. The two planning objectives are: (i) minimization of total installation and operational cost and (ii) minimization of risk factor. The risk factor is defined as a function of an index called contingency-load-loss index (CLLI), which captures the effect of load loss under contingencies, and the degree of network constraint violations. The minimization of the CLLI improves network reliability. The network variables that are optimized are: (i) number of feeders and their routes, and (ii) number and locations of sectionalizing switches. An MOPSO (developed by the authors), based on a novel technique for the selection and assignment of leaders/guides for efficient search of non-dominated solutions, is used as the optimization tool. The proposed planning approach is validated on a typical 100-node distribution system. Performance comparisons between the planning approaches with the possibilistic and deterministic load models are provided highlighting the relative merits and demerits. It is also verified that the proposed solution ranking scheme based on the fuzzy-Pareto dominance is very much better from both quality and computational burden point of view in comparison with the other well-known archive truncation techniques based on clustering and solution density measurement etc. (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sahoo, NC (Corresponding Author), Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India. Sahoo, N. C.; Ganguly, S.; Das, D., Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India.}, DOI = {10.1016/j.eswa.2011.07.086}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Electrical distribution system planning; Possibilistic load model; Pareto-optimality; Fuzzy-Pareto-dominance; Particle swarm optimization; Multi-objective optimization}, Keywords-Plus = {RELIABILITY; EXPANSION; DESIGN}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ncsahoo.india@gmail.com}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur}, ResearcherID-Numbers = {Ganguly, Sanjib/AAB-8249-2021}, ORCID-Numbers = {Ganguly, Sanjib/0000-0002-7939-7308}, Cited-References = {Bhowmik S, 2000, ELECTR POW SYST RES, V54, P169, DOI 10.1016/S0378-7796(99)00086-3. 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S. and Abolhassani, F.}, Title = {Accessible, stable, and equitable health service network redesign: A robust mixed possibilistic-flexible approach}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2018}, Volume = {111}, Pages = {113-129}, Month = {MAR}, Abstract = {This paper addresses a multi-period three-level health service network redesign problem. The problem involves strategic decisions on locating, closing or expanding the capacity of network's facilities over the planning horizon, (re)designing an efficient referral system and (re)allocating patient zones to facilities while aiming at achieving an accessible, stable, and equitable network. A robust mixed possibilistic-flexible programming approach is devised to cope with imprecise parameters and soft constraints. Afterwards an improved augmented e-constraint method is proposed to find the Pareto front. Finally, a real case study is provided to illustrate the performance of the proposed model and its solution procedure.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Mousazadeh, M.; Torabi, S. Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Pishvaee, M. S., Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Abolhassani, F., Univ Tehran Med Sci, Natl Inst Hlth Res, Dept Hlth Serv, Tehran, Iran.}, DOI = {10.1016/j.tre.2018.01.006}, ISSN = {1366-5545}, Keywords = {Health services network design; Hierarchical location-allocation; Referral system; Interactive augmented e-constraint}, Keywords-Plus = {CARE FACILITY LOCATION; MULTIOBJECTIVE OPTIMIZATION APPROACH; EPSILON-CONSTRAINT METHOD; PROGRAMMING-PROBLEMS; ALLOCATION; ALGORITHM; MODEL; DESIGN; CHOICE}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {mousazadeh@ut.ac.ir satorabi@ut.ac.ir pishvaee@iust.ac.ir abolhassanif@tums.ac.ir}, Affiliations = {University of Tehran; Iran University Science \& Technology; Tehran University of Medical Sciences}, ResearcherID-Numbers = {Pishvaee, Mir Saman/H-3450-2018 Abolhassani, Hassan/B-3465-2014 Mousazadeh, Mohammad/AAF-5937-2020 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Pishvaee, Mir Saman/0000-0001-6389-6308 Mousazadeh, Mohammad/0000-0003-1792-0172 Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {{[}Anonymous], 2015, WORLD HLTH STAT. {[}Anonymous], 2008, WORLD HLTH REPORT 20. Beheshtifar S, 2015, INT T OPER RES, V22, P313, DOI 10.1111/itor.12088. Benneyan J., 2012, Socio-Economic Planning Sciences, V46, P136, DOI DOI 10.1016/J.SEPS.2011.12.005. Berman O, 2003, EUR J OPER RES, V151, P474, DOI 10.1016/S0377-2217(02)00604-5. Brailsford S, 2011, EUR J OPER RES, V212, P223, DOI 10.1016/j.ejor.2010.10.026. Dolan P, 2005, HEALTH ECON, V14, P197, DOI 10.1002/hec.924. Ehrgott M, 2005, INT SER OPER RES MAN, V78, P667, DOI 10.1007/0-387-23081-5\_17. Galvao RD, 2002, EUR J OPER RES, V138, P495, DOI 10.1016/S0377-2217(01)00172-2. Galvao RD, 2006, EUR J OPER RES, V172, P631, DOI 10.1016/j.ejor.2004.09.049. Griffin PM, 2008, IIE TRANS, V40, P880, DOI 10.1080/07408170802165864. 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Zhang Y, 2012, OR SPECTRUM, V34, P349, DOI 10.1007/s00291-011-0280-1.}, Number-of-Cited-References = {35}, Times-Cited = {49}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {33}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {FY9UB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000427211300007}, DA = {2026-04-14}, } @article{ WOS:001617956500001, Author = {Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Rahmani, Milad}, Title = {Improving coordination in human milk bank under uncertainty: a mixed proactive-reactive mechanism}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2025}, Month = {2025 NOV 19}, Abstract = {The healthy maturation of infants is significantly supported by human milk, a need that is critically heightened for preterm newborns and infants whose mothers experience challenges in providing an adequate supply. Given its vital necessity and rarity, effective planning for the equitable production and distribution of human milk is essential. Efficient supply and demand management in the human milk supply chain (HMSC) is necessary to mitigate wastage and shortages, especially in the face of unpredictable supply and uncertain demand. To address these challenges, this paper develops a novel two-phase approach for the optimal production and equitable distribution of human milk to neonatal intensive care units (NICUs). In the first phase, known as the proactive phase, recipes are produced in accordance with the capacities and requirements of the human milk bank (HMB), followed by a fair distribution strategy. In the second phase, known as the reactive phase, a coordinated approach is employed, utilizing a clustering strategy among NICUs, grouped with reactive lateral transshipment (RLT), to prevent shortages and wastage. To handle supply and demand uncertainties, an augmented version of the possibilistic programming approach utilizing LR fuzzy numbers is integrated into the framework. Application of the proposed model to a case study in Tehran province underscores its value, achieving a marked decrease in system-wide costs while simultaneously reducing levels of unmet demand. Additionally, this approach has effectively improved the balance of production across various types of milk, based on donated deposits.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article; Early Access}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran. Hosseini-Motlagh, Seyyed-Mahdi; Rahmani, Milad, Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran. Samani, Mohammad Reza Ghatreh, Tarbiat Modares Univ, Fac Ind \& Syst Engn, Tehran, Iran.}, DOI = {10.1007/s10479-025-06924-x}, EarlyAccessDate = {NOV 2025}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Human milk bank; Breast milk; Coordination mechanism; Reactive phase; Proactive phase; Uncertainty}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {motlagh@iust.ac.ir samani@modares.ac.ir milad\_rahmani@cmps2.iust.ac.ir}, Affiliations = {Iran University Science \& Technology; Tarbiat Modares University}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Ghatreh Samani, Mohammad Reza/AAS-3972-2021}, ORCID-Numbers = {Ghatreh Samani, Mohammad Reza/0000-0003-2918-4432}, Cited-References = {Aghababaei B, 2022, FUZZY SET SYST, V434, P48, DOI 10.1016/j.fss.2021.02.021. 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Res.}, Doc-Delivery-Number = {9YI9O}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001617956500001}, DA = {2026-04-14}, } @article{ WOS:000166954500006, Author = {Hsu, HM and Wang, WP}, Title = {Possibilistic programming in production planning of assemble-to-order environments}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2001}, Volume = {119}, Number = {1}, Pages = {59-70}, Month = {APR 1}, Abstract = {For the sake of alleviating the influences of demand uncertainty in assemble-to-order (ATO) environments, the strategies of regulating dealers' forecast demands, determining appropriate safety stocks, and deciding the numbers of key machines are usually adopted by manufacturers. In this paper, we propose a possibility linear programming model to manage these production planning problems. The proposed model accomplishes forecasting adjustments, material management, and production activities. Because of price fluctuations, material obsolescence, and the time value of, capital. the ambiguity of cost is considered in the objective function of the model. We substituted the fuzzy objective function with three crisp objectives: minimizing the most possible cost, maximizing the possibility of obtaining lower cost, and minimizing the risk of obtaining higher cost. Zimmermann's fuzzy programming method is then applied for achieving an overall satisfactory compromise solution. Finally, an example is given to illustrate our model. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hsu, HM (Corresponding Author), Natl Chiao Tung Univ, Dept Ind Engn \& Management, 1001 Ta Hsuch Rd, Hsinchu 30050, Taiwan. Natl Chiao Tung Univ, Dept Ind Engn \& Management, Hsinchu 30050, Taiwan.}, DOI = {10.1016/S0165-0114(99)00086-X}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {assemble-to-order; forecast demands; safety stock; possibility programming}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {National Yang Ming Chiao Tung University}, Cited-References = {Baker KR., 1977, DECISION SCI, V8, P19, DOI {[}10.1111/j.1540-5915.1977.tb01065.x, DOI 10.1111/J.1540-5915.1977.TB01065.X]. BAKKE NA, 1993, INT J PROD ECON, V30-1, P243, DOI 10.1016/0925-5273(93)90096-4. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. FUMERO F, 1994, EUR J OPER RES, V78, P204, DOI 10.1016/0377-2217(94)90383-2. GERCHAK Y, 1989, NAV RES LOG, V36, P61, DOI 10.1002/1520-6750(198902)36:1<61::AID-NAV3220360105>3.0.CO;2-P. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {21}, Times-Cited = {73}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {401XN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000166954500006}, DA = {2026-04-14}, } @article{ WOS:000348953300021, Author = {Liu, Yong-Jun and Zhang, Wei-Guo}, Title = {A multi-period fuzzy portfolio optimization model with minimum transaction lots}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2015}, Volume = {242}, Number = {3}, Pages = {933-941}, Month = {MAY 1}, Abstract = {In this paper, we consider a multi-period fuzzy portfolio optimization problem with minimum transaction lots. Based on possibility theory, we formulate a mean-semivariance portfolio selection model with the objectives of maximizing the terminal wealth and minimizing the cumulative risk over the whole investment horizon. In the proposed model, we take the return, risk, transaction costs, diversification degree, cardinality constraint and minimum transaction lots into consideration. To reflect investor's aspiration levels for the two objectives, a fuzzy decision technique is employed to transform the proposed model into a single objective mixed-integer nonlinear programming problem. Then, we design a genetic algorithm for solution. Finally, we give an empirical application in Chinese stock markets to demonstrate the idea of our model and the effectiveness of the designed algorithm. (C) 2014 Published by Elsevier B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, WG (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Liu, Yong-Jun; Zhang, Wei-Guo, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1016/j.ejor.2014.10.061}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Finance; Multi-period portfolio selection; Mean-semivariance; Minimum transaction lots; Genetic algorithm}, Keywords-Plus = {SELECTING PORTFOLIOS; GENETIC ALGORITHM; VARIANCE; COSTS; CONSTRAINTS; OPERATOR; INTEGER; UTILITY}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {liuyongjun0202@aliyun.com wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Social Science Foundation of China {[}11ZD156]}, Funding-Text = {We thank Editor Lorenzo Peccati and the anonymous reviewers for their penetrating remarks and suggestions, which led to an improved version of this paper. This research was supported by the National Social Science Foundation of China (No. 11\&ZD156).}, Cited-References = {Barak S, 2013, EUR J OPER RES, V228, P141, DOI 10.1016/j.ejor.2013.01.036. Basse T., 2009, INT J BUSINESS MANAG, V4, P1. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. Briec W, 2009, OMEGA-INT J MANAGE S, V37, P50, DOI 10.1016/j.omega.2006.07.007. Calafiore GC, 2008, AUTOMATICA, V44, P2463, DOI 10.1016/j.automatica.2008.02.007. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Çelikyurt U, 2007, EUR J OPER RES, V179, P186, DOI 10.1016/j.ejor.2005.02.079. Costa OLV, 2008, AUTOMATICA, V44, P2487, DOI 10.1016/j.automatica.2008.02.014. Deb K, 2000, COMPUT METHOD APPL M, V186, P311, DOI 10.1016/S0045-7825(99)00389-8. Deep K, 2007, APPL MATH COMPUT, V193, P211, DOI 10.1016/j.amc.2007.03.046. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023. Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhu SS, 2004, IEEE T AUTOMAT CONTR, V49, P447, DOI 10.1109/TAC.2004.824474.}, Number-of-Cited-References = {52}, Times-Cited = {88}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {92}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {CA5MU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000348953300021}, DA = {2026-04-14}, } @article{ WOS:000079230700012, Author = {de Campos, LM and Huete, JF}, Title = {Independence concepts in possibility theory: Part II}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1999}, Volume = {103}, Number = {3}, Pages = {487-505}, Month = {MAY 1}, Abstract = {From both a theoretical and a practical point of view, the study of the concept of independence has great importance in any formalism that manages uncertainty. In Independence Concepts in Possibility Theory: Port I (de Campos and Huete, Fuzzy Sets and Systems 103 (1999) 127-152) several independence relationships were proposed, using different comparison criteria between conditional possibility measures, and using Hisdal conditioning as the conditioning operator. In this paper, we follow the same approach, but considering possibility measures as particular cases of consonant plausibility measures and, therefore, using Dempster conditioning instead of Hisdal's. We formalize several intuitive ideas to define independence relationships, namely `not to modify', `not to gain' and `to obtain similar' information after conditioning, and study their properties. We also compare the results with the previous ones obtained in Part I using Hisdal conditioning. Finally, the marginal problem, i.e., how to obtain a joint possibility distribution from a set of marginals, and the problem of factorizing large possibility distributions, in terms of its conditionally independent components, are considered. (C) 1999 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {de Campos, LM (Corresponding Author), Univ Granada, Dept Ciencias Computac \& Inteligencia Artificial, E-18071 Granada, Spain. Univ Granada, Dept Ciencias Computac \& Inteligencia Artificial, E-18071 Granada, Spain.}, DOI = {10.1016/S0165-0114(97)00161-9}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {independence; possibility theory; Dempster conditioning; marginal problem}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {lci@decsai.ugr.es}, Affiliations = {University of Granada}, ResearcherID-Numbers = {de Campos, Luis/B-7436-2012 Huete, Juan/C-2428-2012}, ORCID-Numbers = {de Campos, Luis/0000-0001-9125-1195 Huete, Juan/0000-0002-9970-7705}, Cited-References = {{[}Anonymous], P 10 C UNC ART INT U. {[}Anonymous], P 11 C UNC ART INT U. {[}Anonymous], P 10 C UNC ART INT U. BENFERHAT S, 1994, 11 EUR C ART INT, P150. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {29}, Times-Cited = {34}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {177VA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000079230700012}, DA = {2026-04-14}, } @article{ WOS:001096439800001, Author = {Gitinavard, Hossein and Mohagheghi, Vahid and Mousavi, Seyed Meysam and Makui, Ahmad}, Title = {A new bi-stage interactive possibilistic programming model for perishable logistics distribution systems under uncertainty}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {238}, Number = {D}, Month = {MAR 15}, Abstract = {Setting the optimal vehicle routes and the optimal level of inventory to avoid shortage, in addition to reducing costs of transportation, are two of the main objectives in developing the distribution systems of perishable goods. Despite its importance, an area that still requires more investigation is the simultaneous consideration of hub location selection and routing and warehousing operations. In other words, addressing decisions related to the locations of the warehouses, vehicle routing, and warehouse management at the same time could improve the outcome. Therefore, this paper presents a new non-linear mixed-integer model for warehouse location selection, in addition to an integrated multi-objective mixed-integer model for routing and warehousing operations. Moreover, features of real operations are considered, such as dynamic conditions, order picking, and delivery, customer prioritization, time windows for customers, and different perishable goods. Minimizing the operations' costs and time under uncertain conditions is achieved by proposing a possibilistic-robust optimization algorithm. The optimization approach regards the weight of each objective using the opinions of experts by using a novel hesitant fuzzy approach. Finally, a case study is presented, and the results are compared with the actual data along with validating the model by using several numerical examples. The results have shown that the method can perfectly form the supply chain of perishable goods. Furthermore, the optimization method can provide the experts with more flexibility in finding a compromise solution.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Gitinavard, H (Corresponding Author), Shahid Beheshti Univ, Fac Mech \& Energy Engn, Tehran, Iran. Gitinavard, Hossein, Shahid Beheshti Univ, Fac Mech \& Energy Engn, Tehran, Iran. Mohagheghi, Vahid; Mousavi, Seyed Meysam, Shahed Univ, Dept Ind Engn, Tehran, Iran. Makui, Ahmad, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.eswa.2023.122121}, EarlyAccessDate = {OCT 2023}, Article-Number = {122121}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Distribution systems; Vehicle routing problem; Perishable goods; Warehouse location; Inventory control; Possibilistic-robust optimization}, Keywords-Plus = {SUPPLY CHAIN NETWORK; ROBUST OPTIMIZATION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {h\_gitinavard@sbu.ac.ir v.mohagheghi@gmail.com sm.mousavi@shahed.ac.ir amakui@iust.ac.ir}, Affiliations = {Shahid Beheshti University; Shahed University; Iran University Science \& Technology}, ResearcherID-Numbers = {Mousavi, Seyed Meysam/HKO-5293-2023 Gitinavard, Hossein/AAZ-5611-2021 makui, ahmad/S-6038-2018 Mohagheghi, Vahid/HOH-8890-2023}, Cited-References = {Abbas H, 2023, SOCIO-ECON PLAN SCI, V87, DOI 10.1016/j.seps.2023.101562. 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Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Vafadarnikjoo A, 2023, SUPPLY CHAIN ANAL, V2, DOI {[}10.1016/j.sca.2023.100012, 10.1016/j.sca.2023.100012]. Xu XL, 2020, COMPUT IND ENG, V150, DOI 10.1016/j.cie.2020.106905. Yakavenka V, 2020, ANN OPER RES, V294, P593, DOI 10.1007/s10479-019-03434-5. Yavari M, 2019, J CLEAN PROD, V226, P282, DOI 10.1016/j.jclepro.2019.03.279. Yue ZL, 2011, KNOWL-BASED SYST, V24, P146, DOI 10.1016/j.knosys.2010.07.014. Zhang S., 2019, Decision science in action, P251.}, Number-of-Cited-References = {47}, Times-Cited = {13}, Usage-Count-Last-180-days = {11}, Usage-Count-Since-2013 = {61}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {X1XB5}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001096439800001}, DA = {2026-04-14}, } @article{ WOS:000360772500051, Author = {Ibarra, Luis and Ponce, Pedro and Molina, Arturo}, Title = {A new approach to uncertainty description through accomplishment membership functions}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2015}, Volume = {42}, Number = {21}, Pages = {7895-7904}, Month = {NOV 30}, Abstract = {Human linguistic reasoning and statement logic are able to solve uncertain propositions. Similar capabilities are expected to be found on intelligent systems so they are provided with some sort of artificial logic evaluation. Many approaches to uncertainty measurement have been developed before, mainly referring to probability or possibility theories. Some conceptual restrictions are imposed by forcing a distribution function to be conceptually consistent. In this work, conditions imposed to possibility theory are relaxed and the theoretical perspective is oriented to degrees of accomplishment. Conceptual implications and their relation to numerical calculations with respect to a specific class of membership functions are presented. Relation to possibility theory and certainty measurement are discussed to show logical consistency, together with a synthetic numerical example which helps to elaborate conclusions about data dispersion and its relation to the accomplishment proposal. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Ibarra, L (Corresponding Author), Inst Tecnol \& Estudios Super Monterrey, Campus Ciudad Mexico,Calle Puente 222, Mexico City, DF, Mexico. Ibarra, Luis; Ponce, Pedro; Molina, Arturo, Inst Tecnol \& Estudios Super Monterrey, Mexico City, DF, Mexico.}, DOI = {10.1016/j.eswa.2015.05.021}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy sets; Membership functions; Data analysis; Ellipsoidal rules; Uncertainty measurements; Possibility theory}, Keywords-Plus = {FUZZY-SETS; IDENTIFICATION; APPROXIMATION; INFORMATION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ibarra.luis@itesm.mx pedro.ponce@itesm.mx armolina@itesm.mx}, Affiliations = {Tecnologico de Monterrey}, ResearcherID-Numbers = {molina, Arturo/AAS-7147-2020 Ibarra-Moyers, Luis/W-9477-2019 Ibarra Moyers, Luis/W-9477-2019 }, ORCID-Numbers = {molina, Arturo/0000-0001-5461-2879 Ibarra Moyers, Luis/0000-0002-7290-3001 Ponce, Pedro/0000-0001-7035-5286}, Funding-Acknowledgement = {Tecnologico de Monterrey, Campus Ciudad de Mexico; CONACYT}, Funding-Text = {This work was supported by a scholarship award from Tecnologico de Monterrey, Campus Ciudad de Mexico and a scholarship for living expenses from CONACYT.}, Cited-References = {{[}Anonymous], FUZZY RELIABILITY BA. {[}Anonymous], INT C COMP SCI TECHN. {[}Anonymous], 2010, P 1 INT C UNC THEOR. 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Yanhua Hou, 2010, Proceedings of the 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2010), P1720, DOI 10.1109/FSKD.2010.5569396. Younes Z, 2010, IEEE INT CONF FUZZY. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {40}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {CQ7HB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000360772500051}, DA = {2026-04-14}, } @article{ WOS:000789666000002, Author = {Blossey, Gregor and Hahn, Gerd J. and Koberstein, Achim}, Title = {Planning pharmaceutical manufacturing networks in the light of uncertain production approval times}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS}, Year = {2022}, Volume = {244}, Month = {FEB}, Abstract = {In the light of shortening product life cycles and growing competition, supply chain efficiency has become a priority for researching pharmaceutical companies. Improving capacity management through dynamic product (re-)allocations is a widely acknowledged lever to achieve significant efficiency gains. However, product allo-cations in the pharmaceutical industry are subject to a specific source of uncertainty. Any facility that is to manufacture a given product for the very first time requires a production approval from regulatory authorities. The duration of the approval process is highly uncertain and can delay the completion of product allocations by several years. This implicitly affects decisions about outsourcing to contract manufacturing organizations (CMOs) who play an essential role in pharmaceutical supply chains (PSCs). Outsourcing is typically based on long-term contractual agreements and thus should be considered in a strategic time frame. To address these issues, we develop a two-stage stochastic MILP model for PSC network design under demand and approval time uncertainty. More specifically, we focus on the secondary manufacturing stage, which comprises all processes converting active pharmaceutical ingredients into finished drug products. A numerical study based on a real-life case of a global pharmaceutical company is presented to validate the applicability of our approach. The results show that approval times drive optimal allocation strategies and may induce different degrees of decentralization at upstream and downstream manufacturing stages. Furthermore, they are guiding make-or-buy decisions while uncertain demands mainly affect global capacity provisioning.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hahn, GJ (Corresponding Author), German Grad Sch Management \& Law, Bildungscampus 2, D-74076 Heilbronn, Germany. Blossey, Gregor; Hahn, Gerd J., German Grad Sch Management \& Law, Bildungscampus 2, D-74076 Heilbronn, Germany. Koberstein, Achim, European Univ Viadrina, Grosse Scharrnstr 59, D-15230 Frankfurt, Oder, Germany. Blossey, Gregor, Univ Innsbruck, Dept Informat Syst Prod \& Logist Management, Univ Str 15, A-6020 Innsbruck, Austria.}, DOI = {10.1016/j.ijpe.2021.108343}, EarlyAccessDate = {JAN 2022}, Article-Number = {108343}, ISSN = {0925-5273}, EISSN = {1873-7579}, Keywords = {Strategic network design; Pharmaceutical manufacturing; Approval times; Stochastic programming}, Keywords-Plus = {SUPPLY CHAIN NETWORK; POSSIBILISTIC PROGRAMMING APPROACH; MULTISTAGE STOCHASTIC PROGRAM; DECISION-SUPPORT-SYSTEM; DESIGN PROBLEM; LOGISTICS NETWORKS; PLANT LOCATION; MANAGEMENT; OPTIMIZATION; MODEL}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {gregor.blossey@uibk.ac.at gh@projecteer.de koberstein@europa-uni.de}, Affiliations = {European University Viadrina Frankfurt Oder; University of Innsbruck}, ResearcherID-Numbers = {Hahn, Gerd/W-7995-2019 }, ORCID-Numbers = {Blossey, Gregor/0000-0001-9412-5856}, Cited-References = {Amiri A, 2006, EUR J OPER RES, V171, P567, DOI 10.1016/j.ejor.2004.09.018. 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Econ.}, Doc-Delivery-Number = {0X4GB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000789666000002}, DA = {2026-04-14}, } @article{ WOS:000927788000001, Author = {Boffa, Stefania and Ciucci, Davide}, Title = {Orthopartitions and possibility distributions}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2023}, Volume = {455}, Pages = {53-76}, Month = {MAR 15}, Abstract = {Orthopartitions are particular sets of orthopairs generalizing the notion of standard partitions in presence of uncertainty, and describing situations where the membership class of some elements of an initial universe is not precisely known.This work aims to bridge orthopartitions with possibility theory. Therefore, our principal contribution here consists of identifying orthopartitions with a special class of Boolean possibility distributions. (c) 2022 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Boffa, S (Corresponding Author), Univ Milano Bicocca, Dept Informat Sistemist \& Comunicaz, Viale Sarca 336, I-20126 Milan, Italy. Boffa, Stefania; Ciucci, Davide, Univ Milano Bicocca, Dept Informat Sistemist \& Comunicaz, Viale Sarca 336, I-20126 Milan, Italy.}, DOI = {10.1016/j.fss.2022.04.022}, EarlyAccessDate = {FEB 2023}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Orthopairs; Orthopartitions; Boolean possibility distributions}, Keywords-Plus = {ORTHOPAIRS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {stefania.boffa@unimib.it davide.ciucci@unimib.it}, Affiliations = {University of Milano-Bicocca}, ResearcherID-Numbers = {Boffa, Stefania/AHD-5508-2022 Ciucci, Davide/B-4777-2012}, ORCID-Numbers = {Boffa, Stefania/0000-0002-4171-3459 Ciucci, Davide/0000-0002-8083-7809}, Cited-References = {{[}Anonymous], 2012, P 13 INT C PRINCIPLE. 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Zadeh LotfiA., 1996, Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh, V6, DOI DOI 10.1142/2895.}, Number-of-Cited-References = {30}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {8R3IM}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000927788000001}, DA = {2026-04-14}, } @article{ WOS:000327279900020, Author = {Shiraz, Rashed Khanjani and Charles, Vincent and Jalalzadeh, Leila}, Title = {Fuzzy rough DEA model: A possibility and expected value approaches}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2014}, Volume = {41}, Number = {2}, Pages = {434-444}, Month = {FEB 1}, Abstract = {Uncertainty is certain in the world of uncertainty. Measuring the performance of any entity in such an uncertain environment is unavoidable. Fuzzy rough data envelopment analysis (FRDEA) provides a room to evaluate the relative efficiency of homogenous entities, widely known as decision making units (DMUs) in the data envelopment analysis (DEA) literature. This paper attempts to create a fuzzy rough DEA model by integrating the classical DEA, fuzzy set theory, and rough set theory, which apparently provide a way to accommodate the uncertainty. Moreover, in contrast to the probability approach, this paper provides a pavement to measure the relative efficiency of any given DMUs in line with the possibility approach along with the fuzzy rough expected value operator. (C) 2013 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Charles, V (Corresponding Author), PUCP, Ctr Catolica Grad Business Sch, Lima, Peru. Shiraz, Rashed Khanjani, Tabriz Univ, Fac Math Sci \& Comp, Tabriz, Iran. Charles, Vincent, PUCP, Ctr Catolica Grad Business Sch, Lima, Peru. Jalalzadeh, Leila, Shahid Madani Azerbayjan Univ, Dept Math, Tabriz, Iran.}, DOI = {10.1016/j.eswa.2013.07.069}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Data envelopment analysis; Rough set theory; Rough programming; Fuzzy rough variable; Possibility theory; Expected value operator}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; SET; PERFORMANCE; SYSTEMS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {Rashed.shiraz@yahoo.com vcharles@pucp.pe l.jalalzadeh@yahoo.com}, Affiliations = {University of Tabriz; Pontificia Universidad Catolica del Peru}, ResearcherID-Numbers = {Charles, Vincent/AAS-7987-2020}, ORCID-Numbers = {Charles, Vincent/0000-0001-8943-5681}, Cited-References = {Angiz MZ, 2012, EXPERT SYST APPL, V39, P2263, DOI 10.1016/j.eswa.2011.07.118. 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Zimmermann H.J., 2001, Fuzzy Set Theory-and Its Applications.}, Number-of-Cited-References = {43}, Times-Cited = {44}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {65}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {255ZS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000327279900020}, DA = {2026-04-14}, } @article{ WOS:000319239700002, Author = {Collan, Mikael and Fedrizzi, Mario and Luukka, Pasi}, Title = {A multi-expert system for ranking patents: An approach based on fuzzy pay-off distributions and a TOPSIS-AHP framework}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2013}, Volume = {40}, Number = {12}, Pages = {4749-4759}, Month = {SEP 15}, Abstract = {The aim of this paper is to introduce a decision support system that ranks patents based on multiple expert evaluations. The presented approach starts with the creation of three value scenarios for each considered patent by each expert. These are used for the construction of individual fuzzy pay-off distribution functions for the patent value; a consensual fuzzy pay-off distribution is then determined starting from the individual distributions. Possibilistic moments are calculated from the consensus pay-off distribution for each patent and used in ranking them with TOPSIS. It is further showed how the analytic hierarchy process (AHP) can be used to include additional decision variables into the patent selection, thus allowing for a two-tier decision making process. The system is illustrated with a numerical example and the usability of the system and the combination of methods it includes for patent portfolio selection in the real world context is discussed. (C) 2013 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Collan, M (Corresponding Author), Lappeenranta Univ Technol, Sch Business, Skinnarilankatu 34, FI-53851 Lappeenranta, Finland. Collan, Mikael; Luukka, Pasi, Lappeenranta Univ Technol, Sch Business, FI-53851 Lappeenranta, Finland. Fedrizzi, Mario, Univ Trento, Dept Ind Engn, I-38122 Trento, Italy.}, DOI = {10.1016/j.eswa.2013.02.012}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Patents; Pay-off method; Consensus; Possibilistic moments; TOPSIS; AHP}, Keywords-Plus = {GROUP DECISION-MAKING; CONSENSUS; TECHNOLOGY; VARIANCE}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {mikael.collan@lut.fi mario.fedrizzi@unitn.it pasi.luukka@lut.fi}, Affiliations = {Lappeenranta-Lahti University of Technology LUT; University of Trento}, ResearcherID-Numbers = {Luukka, Pasi/AAA-5199-2019 Collan, Mikael/AAF-6840-2020 Fedrizzi, Michele/G-2272-2015}, ORCID-Numbers = {Luukka, Pasi/0000-0003-0124-6646 Collan, Mikael/0000-0003-2976-2829 }, Cited-References = {Agliardi E, 2011, EXPERT SYST APPL, V38, P13143, DOI 10.1016/j.eswa.2011.04.122. {[}Anonymous], 2011, J. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8].}, Number-of-Cited-References = {43}, Times-Cited = {42}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {88}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {148JC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000319239700002}, DA = {2026-04-14}, } @article{ WOS:000495339700001, Author = {Kaveh, Firoozeh and Tavakkoli-Moghaddam, Reza and Triki, Chefi and Rahimi, Yaser and Jamili, Amin}, Title = {A new bi-objective model of the urban public transportation hub network design under uncertainty}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2021}, Volume = {296}, Number = {1-2, SI}, Pages = {131-162}, Month = {JAN}, Abstract = {This paper presents a new bi-objective multi-modal hub location problem with multiple assignment and capacity considerations for the design of an urban public transportation network under uncertainty. Because of the high construction costs of hub links in an urban public transportation network, it is not economic to create a complete hub network. Moreover, the demand is assumed to be dependent on the utility proposed by each hub. Thus, the elasticity of the demand is considered in this paper. The presented model also has the ability to compute the number of each type of transportation vehicles between every two hubs. The objectives of this model are to maximize the benefits of transportation by establishing hub facilities and to minimize the total transportation time. Since exact values of some parameters are not known in advance, a fuzzy multi-objective programming based approach is proposed to optimally solve small-sized problems. For medium and large-sized problems, a meta-heuristic algorithm, namely multi-objective particle swarm optimization is applied and its performance is compared with results from the non-dominated sorting genetic algorithm. Our experimental results demonstrated the validity of our developed model and approaches. Moreover, an intensive sensitivity analyze study is carried out on a real-case application related to the monorail project of the holy city of Qom.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Triki, C (Corresponding Author), Hamad Bin Khalifa Univ, Coll Sci \& Engn, Doha, Qatar. Triki, C (Corresponding Author), Univ Salento, Dept Engn Innovat, Lecce, Italy. Kaveh, Firoozeh; Tavakkoli-Moghaddam, Reza; Rahimi, Yaser; Jamili, Amin, Univ Tehran, Sch Ind Engn, Coll Engn, Tehran, Iran. Tavakkoli-Moghaddam, Reza, Arts \& Metier ParisTech, LCFC, Metz, France. Triki, Chefi, Hamad Bin Khalifa Univ, Coll Sci \& Engn, Doha, Qatar. Triki, Chefi, Univ Salento, Dept Engn Innovat, Lecce, Italy.}, DOI = {10.1007/s10479-019-03430-9}, EarlyAccessDate = {NOV 2019}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Urban transportation; Capacitated hub location problem; Elastic demand; Fuzzy multi-objective programming; Meta-heuristics}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; LOCATION-ROUTING NETWORK; SINGLE-ASSIGNMENT; ALGORITHM}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {ctriki@hbku.edu.qa}, Affiliations = {University of Tehran; Arts et Metiers Institute of Technology; Universite de Lorraine; Qatar Foundation (QF); Hamad Bin Khalifa University-Qatar; University of Salento}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Rahimi, Yaser/X-3781-2018}, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Rahimi, Yaser/0000-0002-0292-9695}, Funding-Acknowledgement = {Qatar National Library}, Funding-Text = {Open Access funding provided by the Qatar National Library. Also, the third author carried out part of this work while he was affiliated with Sultan Qaboos University.}, Cited-References = {Akbari-Jafarabadi M, 2017, COMPUT IND ENG, V114, P151, DOI 10.1016/j.cie.2017.10.003. Alumur SA, 2012, TRANSPORT RES E-LOG, V48, P1107, DOI 10.1016/j.tre.2012.04.001. Alumur SA, 2012, TRANSPORT RES B-METH, V46, P529, DOI 10.1016/j.trb.2011.11.006. Ambrosino D, 2016, OPTIM LETT, V10, P875, DOI 10.1007/s11590-016-1022-8. Azizi N, 2019, ANN OPER RES, V272, P159, DOI 10.1007/s10479-017-2517-0. Bashiri M, 2018, APPL MATH MODEL, V54, P151, DOI 10.1016/j.apm.2017.09.032. Berman O, 2002, ANN OPER RES, V111, P197, DOI 10.1023/A:1020957904442. Campbell JF, 2009, COMPUT OPER RES, V36, P3107, DOI 10.1016/j.cor.2009.01.009. Chiu S., 1995, INFORMS NAT M NEW OR. Coello C.A.C., 2007, EVOLUTIONARY ALGORIT, V5, DOI {[}10.1007/978-0-387-36797-2, DOI 10.1007/978-0-387-36797-2]. Contreras I, 2011, EUR J OPER RES, V212, P518, DOI 10.1016/j.ejor.2011.02.018. 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Zhou J, 2007, COMPUT IND ENG, V53, P454, DOI 10.1016/j.cie.2006.06.019.}, Number-of-Cited-References = {51}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {54}, Journal-ISO = {Ann. Oper. Res.}, Doc-Delivery-Number = {PO7TA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000495339700001}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000485654500001, Author = {Samani, Mohammad Reza Ghatreh and Hosseini-Motlagh, Seyyed-Mahdi and Sheshkol, Maryam Izadidoost and Shetab-Boushehri, Seyyed-Nader}, Title = {A bi-objective integrated model for the uncertain blood network design with raising products quality}, Journal = {EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING}, Year = {2019}, Volume = {13}, Number = {5}, Pages = {553-588}, Abstract = {Blood transfusion is a multi-step process with risks in each process from selecting donors to transfusing the patient. Meanwhile, the quality plays an essential part throughout the blood supply chain. In this regard, this study proposes a bi-objective model for an integrated blood supply chain network design. The first objective function tries to minimise the total network cost, whereas the second objective seeks to maximise the quality factor. Due to the epistemic uncertainty of critical parameters, a fuzzy method, as well as some robust approaches, are tailored. The applicability and performance of these proposed methods and their validation are studied in a real case of Tehran's blood network. The results illustrate the preference of realistic robust approach to the other methods due to reduction in cost as well as preserving the quality. Finally, the paper comes to an end with the sensitivity analysis, conclusion and some suggestions for future directions.}, Publisher = {INDERSCIENCE ENTERPRISES LTD}, Address = {WORLD TRADE CENTER BLDG, 29 ROUTE DE PRE-BOIS, CASE POSTALE 856, CH-1215 GENEVA, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Samani, Mohammad Reza Ghatreh; Hosseini-Motlagh, Seyyed-Mahdi, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Sheshkol, Maryam Izadidoost; Shetab-Boushehri, Seyyed-Nader, Isfahan Univ Technol, Sch Ind Engn, Esfahan, Iran.}, DOI = {10.1504/EJIE.2019.102182}, ISSN = {1751-5254}, EISSN = {1751-5262}, Keywords = {blood supply chain; healthcare management; multi-objective optimisation; robust programming; raising quality}, Keywords-Plus = {SUPPLY CHAIN NETWORK; POSSIBILISTIC PROGRAMMING APPROACH; OPTIMIZATION; MANAGEMENT; SELECTION}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {mr\_samani@ind.iust.ac.ir motlagh@iust.ac.ir m.izadidoostsheshkol@in.iut.ac.ir shetab@cc.iut.ac.ir}, Affiliations = {Iran University Science \& Technology; Isfahan University of Technology}, ResearcherID-Numbers = {Ghatreh Samani, Mohammad Reza/AAS-3972-2021 Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018}, ORCID-Numbers = {Ghatreh Samani, Mohammad Reza/0000-0003-2918-4432 Hosseini-Motlagh, Seyyed-Mahdi/0000-0003-2568-187X}, Cited-References = {Abdulwahab U, 2014, COMPUT IND ENG, V78, P259, DOI 10.1016/j.cie.2014.07.017. {[}Anonymous], 2012, Sci J Iran Blood Transfus Organ. 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H., 2013, Q J ISLAMIC AZAD U M, V23, P107. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. YAGER RR, 1981, INFORM SCIENCES, V24, P143, DOI 10.1016/0020-0255(81)90017-7. Zahiri B, 2018, INFORM SCIENCES, V423, P257, DOI 10.1016/j.ins.2017.09.046. Zahiri B, 2015, APPL MATH MODEL, V39, P7680, DOI 10.1016/j.apm.2015.04.028. Zahiri B, 2017, INT J PROD RES, V55, P2013, DOI 10.1080/00207543.2016.1262563. Zolfaghari A. S., 2013, COMPREHENSIVE ATLAS.}, Number-of-Cited-References = {48}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Eur. J. Ind. Eng.}, Doc-Delivery-Number = {IX4KG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000485654500001}, DA = {2026-04-14}, } @article{ WOS:000259100700005, Author = {Zhang, Yong and Chi, Zhong-Xian}, Title = {A Fuzzy support vector classifier based on Bayesian optimization}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2008}, Volume = {7}, Number = {1}, Pages = {75-86}, Month = {MAR}, Abstract = {In this paper, we have focused on the use of the support vector data description based on kernel-based possibilistic c-means algorithm (PCM) for solving multi-class classification problems. We propose a weighted support vector data description (SVDD) multi-class classification method, which can be used to deal with the outlier sensitivity problem in traditional multi-class classification problems. The proposed method is the robust version of SVDD by assigning a weight to each data point, which represents fuzzy membership degree of the cluster computed by the kernel-based PCM method. Accordingly, this paper presents the multi classification algorithm and gives the simple classification rule, which satisfies Bayesian optimal decision theory. With a simple classification rule, our experimental results show that the proposed method can reduce the effect of outliers and reduce the rate of classification error.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Zhang, Y (Corresponding Author), Dalian Univ Technol, Dept Comp Sci \& Engn, Dalian 116024, Peoples R China. Zhang, Yong; Chi, Zhong-Xian, Dalian Univ Technol, Dept Comp Sci \& Engn, Dalian 116024, Peoples R China. Zhang, Yong, Liaoning Normal Univ, Dept Comp, Dalian 116029, Peoples R China.}, DOI = {10.1007/s10700-007-9025-7}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {support vector machine; support vector data description; possibilistic c-means algorithm; kernel method; Bayesian optimization}, Keywords-Plus = {ALGORITHM}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {ayong\_zh@163.com}, Affiliations = {Dalian University of Technology; Liaoning Normal University}, ResearcherID-Numbers = {Zhang, Yong/E-4964-2014}, Cited-References = {Hsu CW, 2002, IEEE T NEURAL NETWOR, V13, P415, DOI 10.1109/72.991427. Hu WJ, 2004, IEEE T CIRCUITS-II, V51, P234, DOI 10.1109/TCSII.2004.824044. Inoue T, 2001, IEEE IJCNN, P1449, DOI 10.1109/IJCNN.2001.939575. Krishnapuram R, 1996, IEEE T FUZZY SYST, V4, P385, DOI 10.1109/91.531779. 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Mak.}, Doc-Delivery-Number = {346WQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000259100700005}, DA = {2026-04-14}, } @article{ WOS:000589421700005, Author = {Matia, Fernando and Jimenez, Victor and Alvarado, Biel P. and Haber, Rodolfo}, Title = {The fuzzy Kalman filter: Improving its implementation by reformulating uncertainty representation}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2021}, Volume = {402}, Number = {SI}, Pages = {78-104}, Month = {JAN 1}, Abstract = {The fuzzy Kalman filter (FKF), introduced some years ago, is revisited. In the initial version, trapezoidal possibility distributions functions instead of gaussian probability distributions were proposed, and trapezius were modeled by four representative points. Nevertheless, and although the algorithm works properly, an implementation problem occurs when propagating uncertainty through a non-linear function in multi-variable systems, something that was solved by linearization. In this work we propose an alternative method to represent uncertainty, still using trapezoidal distributions, which avoids the previous inconvenience and eases the Kalman filter steps computation. We reformulate the FKF algorithm, presenting a new theoretical approach as well as validation tests in both simulation and a real mobile robot. (C) 2019 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Matía, F (Corresponding Author), Univ Politecn Madrid, Ctr Automat \& Robot UPM CSIC, Calle Jose Gutierrez Abascal, Madrid 28006, Spain. Matia, Fernando; Jimenez, Victor; Alvarado, Biel P., Univ Politecn Madrid, Ctr Automat \& Robot UPM CSIC, Calle Jose Gutierrez Abascal, Madrid 28006, Spain. Haber, Rodolfo, CSIC, Ctr Automat \& Robot UPM CSIC, Ctra Campo Real,Km 0-200, Madrid 28500, Spain.}, DOI = {10.1016/j.fss.2019.10.015}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Possibility theory; Data fusion; Fuzzy control; Applications; Robotics; State estimation; Kalman filter}, Keywords-Plus = {STATE ESTIMATION; MEAN-VALUE; VARIANCE; BIAS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {fernando.matia@upm.es}, Affiliations = {Consejo Superior de Investigaciones Cientificas (CSIC); Universidad Politecnica de Madrid; CSIC-UPM - Centro de Automatica y Robotica; Consejo Superior de Investigaciones Cientificas (CSIC); Universidad Politecnica de Madrid; CSIC-UPM - Centro de Automatica y Robotica}, ResearcherID-Numbers = {Matia, Fernando/AAW-9219-2020 Haber, Rodolfo/F-7324-2012 }, ORCID-Numbers = {Matia, Fernando/0000-0002-2198-1448 Haber, Rodolfo/0000-0002-2881-0166 Alvarado Vásqiez, Biel Piero Eloy/0000-0001-8765-213X Jiménez Bermejo, Víctor/0000-0003-1197-0937}, Funding-Acknowledgement = {Spanish Ministry of Science, Innovation and Universities (Artificial Intelligence Techniques and Assistance to Autonomous Navigation) {[}DPI 2017-86915-C3-3-R]; RoboCity2030-DIH-CM Madrid Robotics Digital Innovation Hub by ``Programas de Actividades I+D en la Comunidad de Madrid{''} {[}S2018/NMT-4331]; Structural Funds of the EU}, Funding-Text = {This work has been funded by Spanish Ministry of Science, Innovation and Universities (Artificial Intelligence Techniques and Assistance to Autonomous Navigation, reference DPI 2017-86915-C3-3-R). It has also received funding from the RoboCity2030-DIH-CM Madrid Robotics Digital Innovation Hub ``Robotica aplicada a la mejora de la calidad de vida de los ciudadanos, fase IV{''}; S2018/NMT-4331), funded by ``Programas de Actividades I+D en la Comunidad de Madrid{''} and cofunded by Structural Funds of the EU.}, Cited-References = {Al-Hadithi B.M., 2012, OPTIM CONTROL APPL M, V33, DOI {[}10.1002/oca.1014, DOI 10.1002/OCA.1014.]. {[}Anonymous], 2000, The Handbooks of Fuzzy Sets. Carlsson C, 2005, FUZZY SET SYST, V155, P425, DOI 10.1016/j.fss.2005.04.014. Carlsson C., 2005, FUZZ IEEE INT C, P535. Carlsson C., 2005, FUZZ IEEE INT C. Carlsson C, 2009, STUD COMPUT INTELL, V243, P17. Carrasco R, 2005, IEEE PULP P, P169, DOI 10.1109/PAPCON.2005.1502063. Cetisli B, 2011, NEURAL COMPUT APPL, V20, P403, DOI 10.1007/s00521-010-0406-4. Chen GR, 1997, IEEE T AERO ELEC SYS, V33, P250, DOI 10.1109/7.570759. Chen GR, 1998, INFORM SCIENCES, V109, P197, DOI 10.1016/S0020-0255(98)10002-6. 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Zhou ZJ, 2008, SIMUL MODEL PRACT TH, V16, P690, DOI 10.1016/j.simpat.2008.04.008.}, Number-of-Cited-References = {60}, Times-Cited = {19}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {OR4CZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000589421700005}, DA = {2026-04-14}, } @article{ WOS:000440111800004, Author = {Liu, Yong-Jun and Zhang, Wei-Guo}, Title = {Fuzzy portfolio selection model with real features and different decision behaviors}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2018}, Volume = {17}, Number = {3}, Pages = {317-336}, Month = {SEP}, Abstract = {In the ever changing financial markets, investor's decision behaviors may change from time to time. In this paper, we consider the effect of investor's different decision behaviors on portfolio selection in fuzzy environment. We present a possibilistic mean-semivariance model for fuzzy portfolio selection by considering some real investment features including proportional transaction cost, fixed transaction cost, cardinality constraint, investment threshold constraints, decision dependency constraints and minimum transaction lots. To describe investor's different decision behaviors, we characterize the return rates on securities by LR fuzzy numbers with different shape parameters in the left- and right-hand reference functions. Then, we design a novel hybrid differential evolution algorithm to solve the proposed model. Finally, we provide a numerical example to illustrate the application of our model and the effectiveness of the designed algorithm.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Liu, Yong-Jun; Zhang, Wei-Guo, South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1007/s10700-017-9274-z}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Fuzzy portfolio selection; Mean-semivariance model; Real features; Decision behaviors; Hybrid differential evolution algorithm}, Keywords-Plus = {TRANSACTION COSTS; EVOLUTION; OPTIMIZATION; ALGORITHMS; VARIANCE}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {bmyjliu@scut.edu.cn wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71501076, 71720107002]; Natural Science Foundation of Guangdong Province of China {[}2014A030310454, 2017A030312001]; Fundamental Research Funds for the Central Universities {[}2017ZD102]; Guangzhou Financial Services Innovation and Risk Management Research Base}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (Nos. 71501076 and 71720107002), the Natural Science Foundation of Guangdong Province of China (Nos. 2014A030310454 and 2017A030312001), the Fundamental Research Funds for the Central Universities (No. 2017ZD102) and Guangzhou Financial Services Innovation and Risk Management Research Base.}, Cited-References = {Angelelli E, 2008, J BANK FINANC, V32, P1188, DOI 10.1016/j.jbankfin.2006.07.015. 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Mak.}, Doc-Delivery-Number = {GO5ZA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000440111800004}, DA = {2026-04-14}, } @article{ WOS:001236762000001, Author = {Tosarkani, Babak Mohamadpour and Amin, Saman Hassanzadeh and Ghiasvand, Mohsen Roytvand}, Title = {Designing a sustainable plastic bottle reverse logistics network: A data-driven optimization approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {251}, Month = {OCT 1}, Abstract = {Management of recovery options for plastic beverage containers involves some challenges. Most materials of used containers are recycled and are used to produce new products. The locations of collection facilities are the strategic decisions, affecting the amount collected and the total cost of a Reverse Logistics Network (RLN). In this study, a multi -objective (MO) optimization model is introduced to configure a plastic beverage container RLN, considering economic, environmental, and social objectives. This study also implements a scenario -based possibilistic approach to handle the uncertainty of the parameters. Furthermore, a data -driven fuzzy optimization framework is developed to consider the overlapping and multi -clustered characteristics of historical data samples. The application of the proposed method is demonstrated by considering a network in Vancouver, Canada. The numerical results reveal that the optimal configuration of the RLN resulting from the proposed MO model exhibits significant sensitivity to fluctuations in costs, demands, and the prioritization of the objective functions. Additionally, the proposed data -driven framework can incorporate decision makers ` preferences when tuning the conservatism degree of uncertain parameters and the preference level of different objectives of the MO model. Moreover, the developed data -driven algorithm can reduce over -conservatism by 14\% and guarantee the feasibility of optimal solutions compared to other data -driven strategies.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tosarkani, BM (Corresponding Author), Univ British Columbia, Sch Engn, Kelowna, BC, Canada. Tosarkani, Babak Mohamadpour; Ghiasvand, Mohsen Roytvand, Univ British Columbia, Sch Engn, Kelowna, BC, Canada. Amin, Saman Hassanzadeh, Toronto Metropolitan Univ, Dept Mech \& Ind Engn, Toronto, ON, Canada.}, DOI = {10.1016/j.eswa.2024.123918}, EarlyAccessDate = {APR 2024}, Article-Number = {123918}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Plastic bottles; Data -driven optimization; Uncertainty; Multi -objective programming; Reverse logistics}, Keywords-Plus = {LOOP SUPPLY CHAIN; FACILITY LOCATION MODEL; ROBUST OPTIMIZATION; PRODUCT RECOVERY; UNCERTAINTY; WASTE; SELECTION; DEMAND; CONFIGURE; REDESIGN}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {babak.tosarkani@ubc.ca saman.amin@torontomu.ca mohsen.roytvand@ubc.ca}, Affiliations = {University of British Columbia; Toronto Metropolitan University}, ResearcherID-Numbers = {Roytvand Ghiasvand, Mohsen/JOK-4427-2023 Mohamadpour Tosarkani, Babak/CAF-6880-2022}, ORCID-Numbers = {Mohamadpour Tosarkani, Babak/0000-0003-3386-7957}, Cited-References = {Afshari H, 2020, RESOUR CONSERV RECY, V158, DOI 10.1016/j.resconrec.2020.104825. 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Zhuang ZY, 2023, INT J GREEN ENERGY, V20, P640, DOI 10.1080/15435075.2022.2080502.}, Number-of-Cited-References = {97}, Times-Cited = {10}, Usage-Count-Last-180-days = {10}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {ST7L0}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001236762000001}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:000244798000008, Author = {Vercher, Enriqueta and Bermudez, Jose D. and Vicente Segura, Jose}, Title = {Fuzzy portfolio optimization under downside risk measures}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2007}, Volume = {158}, Number = {7}, Pages = {769-782}, Month = {APR 1}, Abstract = {This paper presents two fuzzy portfolio selection models where the objective is to minimize the downside risk constrained by a given expected return. We assume that the rates of returns on securities are approximated as LR-fuzzy numbers of the same shape, and that the expected return and risk are evaluated by interval-valued means. We establish the relationship between those mean-interval definitions for a given fuzzy portfolio by using suitable ordering relations. Finally, we formulate the portfolio selection problem as a linear program when the returns on the assets are of trapezoidal form. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vercher, E (Corresponding Author), Univ Valencia, Dept Estad \& Invest Operat, Vincent Andres Estelles S-N, E-46100 Burjassot, Spain. Univ Valencia, Dept Estad \& Invest Operat, E-46100 Burjassot, Spain. Univ Miguel Hernandez Elche, Ctr Invest Operat, Elche 03202, Spain.}, DOI = {10.1016/j.fss.2006.10.026}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {fuzzy numbers; interval-valued expectation; possibilistic mean value; downside risk functions; fuzzy mathematical programming}, Keywords-Plus = {EXPONENTIAL POSSIBILITY DISTRIBUTIONS; INTERVAL APPROXIMATION; MEAN-VALUE; SELECTION; VARIANCE; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {enriqueta.vercher@uv.es bermudez@uv.es jvsh@umh.es}, Affiliations = {University of Valencia; Universidad Miguel Hernandez de Elche}, ResearcherID-Numbers = {Segura-Heras, José Vicente/ABC-3363-2020 Bermudez, Jose/L-1147-2014 Vercher, Enriqueta/N-7767-2019}, ORCID-Numbers = {Segura-Heras, José Vicente/0000-0002-0884-0472 Bermudez, Jose/0000-0003-4699-5923 Vercher, Enriqueta/0000-0001-8692-1318}, Cited-References = {Bilbao-Terol A, 2006, APPL MATH COMPUT, V173, P251, DOI 10.1016/j.amc.2005.04.003. 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Watada J., 1997, Tatra Mountains Mathematical Publications, V13, P219.}, Number-of-Cited-References = {36}, Times-Cited = {170}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {49}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {144LR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000244798000008}, DA = {2026-04-14}, } @article{ WOS:000346894600006, Author = {Zahiri, B. and Tavakkoli-Moghaddam, R. and Mohammadi, M. and Jula, P.}, Title = {Multi-objective design of an organ transplant network under uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2014}, Volume = {72}, Pages = {101-124}, Month = {DEC}, Abstract = {We propose a novel multi-period location-allocation model for the design of an organ transplant transportation network under uncertainty. The model consists of a bi-objective mathematical programming model that minimizes total cost and time, including waiting time in the queue for the transplant operation, while considering organs' priorities. A fuzzy multi-objective programming based approach is presented to solve the small and medium size problems to optimality. For larger problems, we propose two meta-heuristics based algorithms. Lower bounds, and several numerical examples with managerial insights are discussed. A real case-study is provided, and the existing and the proposed optimal solutions are compared. (C) 2014 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Jula, P (Corresponding Author), Simon Fraser Univ, Beedie Sch Business, 8888 Univ Dr, Burnaby, BC V5A 1S6, Canada. Zahiri, B.; Tavakkoli-Moghaddam, R.; Mohammadi, M., Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Jula, P., Simon Fraser Univ, Beedie Sch Business, Burnaby, BC V5A 1S6, Canada.}, DOI = {10.1016/j.tre.2014.09.007}, ISSN = {1366-5545}, Keywords = {Healthcare network; Multi-period organ transplant network; Fuzzy multi-objective programming; Queuing theory; Meta-heuristics}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; LOCATION-ALLOCATION; HUB LOCATION; OPTIMIZATION; MODELS}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {b.zahiri@ut.ac.ir tavakoli@ut.ac.ir mehrdadmohamadi@ut.ac.ir pjula@sfu.ca}, Affiliations = {University of Tehran; Simon Fraser University}, ResearcherID-Numbers = {MOHAMMADI, Mehrdad/KIA-9696-2024 Tavakkoli-Moghaddam, Reza/P-1948-2015}, ORCID-Numbers = {MOHAMMADI, Mehrdad/0000-0002-3726-8356 Jula, Payman/0009-0000-0080-7443 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X}, Cited-References = {{[}Anonymous], 2013, NONLINEAR PROGRAMMIN. 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Rais A, 2011, INT T OPER RES, V18, P1, DOI 10.1111/j.1475-3995.2010.00767.x. Shariff SSR, 2012, COMPUT IND ENG, V62, P1000, DOI 10.1016/j.cie.2011.12.026. Storn R, 1996, 1996 BIENNIAL CONFERENCE OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY - NAFIPS, P519, DOI 10.1109/NAFIPS.1996.534789. Storn R, 1997, J GLOBAL OPTIM, V11, P341, DOI 10.1023/A:1008202821328. Syam SS, 2012, OPER RES HEALTH CARE, V1, P73, DOI 10.1016/j.orhc.2012.09.001. Syam SS, 2010, OMEGA-INT J MANAGE S, V38, P157, DOI 10.1016/j.omega.2009.08.001. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Vahdani B, 2012, TRANSPORT RES E-LOG, V48, P1152, DOI 10.1016/j.tre.2012.06.002. Wang QN, 2004, EUR J OPER RES, V155, P502, DOI 10.1016/S0377-2217(02)00916-5. Xu JP, 2013, INFORM SCIENCES, V238, P75, DOI 10.1016/j.ins.2013.02.011. Zahiri B, 2014, COMPUT IND ENG, V74, P139, DOI 10.1016/j.cie.2014.05.008. Zhang ZH, 2014, APPL MATH MODEL, V38, P1033, DOI 10.1016/j.apm.2013.07.028.}, Number-of-Cited-References = {40}, Times-Cited = {89}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {AX4HR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000346894600006}, DA = {2026-04-14}, } @article{ WOS:A1996UR78400010, Author = {Czyak, P and Slowinski, R}, Title = {Possibilistic construction of fuzzy outranking relation for multiple-criteria ranking}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1996}, Volume = {81}, Number = {1}, Pages = {123-131}, Month = {JUL 8}, Abstract = {A multiple-criteria method for ranking actions with uncertain evaluations is presented. The uncertain evaluations are modelled by fuzzy numbers. To compare fuzzy evaluations, four different measures using possibility and necessity concepts are applied. Their aggregation is based on fuzzy connectives with a controlled compensatory behaviour. The desirable degree of compensation is controlled by the decision maker who can move between two extremes: no compensation and full compensation. The aggregation leads to a new definition of concordance and discordance indices. In order to rank actions, a valued outranking relation is constructed via concordance-discordance tests and then exploited using the usual distillation procedure of ELECTRE III. A final partial preorder results from the exploitation procedure. An illustrative example shows the application of the method to a ground water management system.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {POZNAN TECH UNIV,INST COMP SCI,PL-60965 POZNAN,POLAND.}, DOI = {10.1016/0165-0114(95)00244-8}, ISSN = {0165-0114}, Keywords = {multicriteria aid for decisions; fuzzy evaluation; fuzzy connectives; ranking ELECTRE methodology; application to water supply systems}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Poznan University of Technology}, ResearcherID-Numbers = {Slowinski, Roman/A-5751-2013}, ORCID-Numbers = {Slowinski, Roman/0000-0002-5200-7795}, Cited-References = {CZYZAK P, 1994, P 11 INT C MCDM COIM. DUBOIS D, 1988, POSSIBILITY THEORY. DUCKSTEIN L, 1994, J WATER RES PLAN MAN, V120, P546, DOI 10.1061/(ASCE)0733-9496(1994)120:4(546). DYCKHOFF H, 1984, FUZZY SETS SYSTEMS, V14, P178. KRISHNAPURAM R, 1992, FUZZY SET SYST, V46, P11, DOI 10.1016/0165-0114(92)90263-4. ROY B, 1992, WATER RESOUR BULL, V28, P13. ROY B, 1989, MATH COMPUT MODEL, V12, P1245, DOI 10.1016/0895-7177(89)90366-X. Roy B., 1985, METHODOLOGIE MULTICR. ROY B, 1993, AIDE MULTICRITERE DE.}, Number-of-Cited-References = {9}, Times-Cited = {13}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {UR784}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996UR78400010}, DA = {2026-04-14}, } @article{ WOS:001410109300001, Author = {Garrido, Alexander and Cardenas-Barron, Leopoldo Eduardo and Buitrago, Oscar Yecid and Alvarez-Pomar, Lindsay}, Title = {A multi-echelon globalized agro-industrial supply chain under conditions of uncertainty: A two-stage fuzzy-possibilistic mixed-integer linear programming model}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2025}, Volume = {270}, Month = {APR 25}, Abstract = {Supply chain (SC) design problem is probably one of the most critical challenges in the production/operations management field, with lasting effects on customer service and cost measurements. Managers are therefore obliged to find the best possible SC configuration that provide the highest level of responsiveness and operational efficiency, which subsequently improves customer satisfaction and fosters loyalty. In that vein, this research proposes a general approach to determine a resilient strategic design-i.e., able to rapidly adjust to market changes and disruptions, offering a competitive edge in an increasingly globalized economy-of a singular multilayered and multi-product globalized agro-industrial SC with direct shipping in conditions of uncertainty. In order to obtain the shortest distance to move and store products from the supplier echelon-or crops-to the last echelon in the SC-or customers-, a two-stage fuzzy-possibilistic mixed-integer linear programming (FP-MILP) model is formulated and numerically evaluated through different restrictive conditions. The proposed FP-MILP model-based on the blending-problem approach-incorporates deterministic and fuzzy datasets in the objective function and constraints, efficiency calculations in crops and feedstocks, as well as different thermal floors and cultivation geographic areas. To illustrate the application of the FP-MILP model, several experiment scenarios are performed on a real four-tier globalized agro-industrial SC, and the results obtained are analyzed and compared with each other.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Cárdenas-Barrón, LE (Corresponding Author), Tecnol Monterrey, Sch Engn \& Sci, Dept Ind \& Syst Engn, E Garza Sada 2501 Sur, Monterrey 64849, Nuevo Leon, Mexico. Garrido, Alexander, Univ Rosario, Sch Engn Sci \& Technol, Bogota 111711, Colombia. Cardenas-Barron, Leopoldo Eduardo, Tecnol Monterrey, Sch Engn \& Sci, Dept Ind \& Syst Engn, E Garza Sada 2501 Sur, Monterrey 64849, Nuevo Leon, Mexico. Buitrago, Oscar Yecid, Univ Mil Nueva Granada, Ind Engn Dept, Bogota, Colombia. Alvarez-Pomar, Lindsay, Univ Distrital Francisco Jose de Caldas, Ind Engn Dept, Bogota 110111, Colombia.}, DOI = {10.1016/j.eswa.2025.126569}, EarlyAccessDate = {JAN 2025}, Article-Number = {126569}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Supply chain resilient design; Fuzzy possibilistic programming; Agro-industrial supply chain; Fuzzy mathematical programming; Mixed-integer linear programming}, Keywords-Plus = {NETWORK DESIGN}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {lecarden@tec.mx}, Affiliations = {Universidad del Rosario; Tecnologico de Monterrey; Universidad Militar Nueva Granada; Universidad Distrital Francisco Jose de Caldas}, ResearcherID-Numbers = {Cárdenas-Barrón, Leopoldo Eduardo/C-1040-2008 Garrido, Alexander/N-4509-2019}, ORCID-Numbers = {Garrido, Alexander/0000-0003-0551-3254}, Funding-Acknowledgement = {Vice-Rectory of Research at Universidad Militar Nueva Granada {[}INV-ING-3197]}, Funding-Text = {This work is a product derived from project INV-ING-3197, funded by the Vice-Rectory of Research at Universidad Militar Nueva Granada, Colombia,2020.}, Cited-References = {Ala A, 2024, APPL SOFT COMPUT, V150, DOI 10.1016/j.asoc.2023.111012. {[}Anonymous], 2022, Colombian Law. 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Yang YB, 2021, IEEE ACCESS, V9, P102236, DOI 10.1109/ACCESS.2021.3097548.}, Number-of-Cited-References = {50}, Times-Cited = {4}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {U2J0U}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001410109300001}, DA = {2026-04-14}, } @article{ WOS:A1996VP39900007, Author = {Baldwin, JF and Lawry, J and Martin, TP}, Title = {A mass assignment theory of the probability of fuzzy events}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1996}, Volume = {83}, Number = {3}, Pages = {353-367}, Month = {NOV 11}, Abstract = {Mass assignment theory techniques for processing uncertainty in Fril are reviewed. The notion of the probability of a fuzzy event is introduced together with the t-norm definition of conditional probabilities. The latter is then shown to be probability/possibility inconsistent. An alternative theory of conditional probabilities based on mass assignments is presented together with a number of results illustrating some intuitive properties. In particular, the mass assignment theory of conditional probabilities is shown to be probability/possibility consistent.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Baldwin, JF (Corresponding Author), UNIV BRISTOL, AI GRP, DEPT ENGN MATH, BRISTOL BS8 1TR, AVON, ENGLAND.}, DOI = {10.1016/0165-0114(95)00297-9}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {mass assignment; semantic unification; voting model; probability of a fuzzy event; possibility measure}, Keywords-Plus = {RANDOM SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {ACZEL J, 1966, LECTURES FUNCTIONAL. 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ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4.}, Number-of-Cited-References = {22}, Times-Cited = {83}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {VP399}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996VP39900007}, DA = {2026-04-14}, } @article{ WOS:000639836600001, Author = {Giri, Sourav Kumar and Garai, Totan and Garg, Harish and Islam, Sahidul}, Title = {Possibilistic mean of generalized non-linear intuitionistic fuzzy number to solve a price and quality dependent demand multi-item inventory model}, Journal = {COMPUTATIONAL \& APPLIED MATHEMATICS}, Year = {2021}, Volume = {40}, Number = {4}, Month = {JUN}, Abstract = {In real-life problems, there is always a situation where a decision maker is engrossed in detecting multi aspiration levels for the purposes that cannot be explained in specific way. To address this, the paper aims to consider a new generalized non-linear intuitionistic fuzzy number and, hence, defined the possibilistic mean of it with possibility measures. In addition, we have proposed the arithmetic operations of different generalized non-linear intuitionistic fuzzy number using (alpha, beta)-cut method. The applicability of the developed operations are explained with a case study from the multi-item inventory model in which the price and quality dependent demand are modeled under the generalized non-linear intuitionistic fuzzy environment. A new defuzzification method has been developed to solve the developed multi-item inventory model. Finally, numerical and graphical representation of the proposed model has been discussed to highlight the superiority of the presented work.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Garg, H (Corresponding Author), Deemed Univ, Thapar Inst Engn \& Technol, Sch Math, Patiala 147004, Punjab, India. Garg, Harish, Deemed Univ, Thapar Inst Engn \& Technol, Sch Math, Patiala 147004, Punjab, India. Giri, Sourav Kumar; Islam, Sahidul, Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India. Garai, Totan, Syamsundar Coll, Dept Math, Purba Bardhaman 713424, W Bengal, India.}, DOI = {10.1007/s40314-021-01497-4}, Article-Number = {110}, ISSN = {2238-3603}, EISSN = {1807-0302}, Keywords = {Generalized non-linear intuitionistic fuzzy number; Possibilistic mean; Multi-item inventory; Price- and Quality-dependent demand}, Keywords-Plus = {EXPECTED VALUE; VARIANCE; RANKING; COST}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {harishg58iitr@gmail.com}, Affiliations = {Thapar Institute of Engineering \& Technology; Kalyani University}, ResearcherID-Numbers = {Garai, Totan/F-4867-2019 Garg, Harish/C-6063-2012}, ORCID-Numbers = {Islam, Sahidul/0000-0002-4142-0947 Garg, Harish/0000-0001-9099-8422}, Cited-References = {AbouElAta MO, 1997, PROD PLAN CONTROL, V8, P608, DOI 10.1080/095372897234948. {[}Anonymous], 2014, WORLD C SOFT COMP IN. ATANASSOV KT, 1986, FUZZY SET SYST, V20, P87, DOI 10.1016/S0165-0114(86)80034-3. 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Wan SP, 2013, J INTELL FUZZY SYST, V24, P847, DOI 10.3233/IFS-2012-0603. Wu J, 2013, COMPUT IND ENG, V66, P311, DOI 10.1016/j.cie.2013.07.001. Wu KS, 2006, INT J PROD ECON, V101, P369, DOI 10.1016/j.ijpe.2005.01.010. Xue F, 2008, COMPUT MATH APPL, V55, P1215, DOI 10.1016/j.camwa.2007.04.042. YAGER RR, 1992, FUZZY SET SYST, V50, P279, DOI 10.1016/0165-0114(92)90226-T. Zadeh AL., 1978, FUZZY SET SYST, V1. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang QL, 2018, INFORM SCIENCES, V469, P44, DOI 10.1016/j.ins.2018.08.016.}, Number-of-Cited-References = {38}, Times-Cited = {25}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Comput. Appl. Math.}, Doc-Delivery-Number = {RM7JZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000639836600001}, DA = {2026-04-14}, } @article{ WOS:000236213400001, Author = {Liu, XW}, Title = {On the maximum entropy parameterized interval approximation of fuzzy numbers}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {7}, Pages = {869-878}, Month = {APR 1}, Abstract = {This paper extends the interval-valued weighted possibilistic mean of a fuzzy number of Fuller and Majlender to a general weighting function without the monotonic increasing assumption. This weighting function determines a weighted average aggregation of the cuts of the fuzzy number according to the preference of a decision-maker. Some properties of the weighting function are provided and a preference index that qualifies this aggregation and can serve as a parameter for the definition of interval approximation of a fuzzy number is proposed. A special class of parameterized weighting functions satisfying the maximal entropy principle is proposed. (C) 2005 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liu, XW (Corresponding Author), Southeast Univ, Sch Econ \& Management, Nanjing 210096, Peoples R China. Southeast Univ, Sch Econ \& Management, Nanjing 210096, Peoples R China.}, DOI = {10.1016/j.fss.2005.09.010}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {fuzzy numbers; weighting function; interval approximation; maximum entropy}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {xwliu@seu.edu.cn}, Affiliations = {Southeast University - China}, ResearcherID-Numbers = {Liu, Xinwang/NGQ-6570-2025}, ORCID-Numbers = {Liu, Xinwang/0000-0001-8230-8380}, Cited-References = {{[}Anonymous], 1999, FUZZY SETS SYST, DOI DOI 10.1016/S0165-0114(97)00337-0. BUCKLEY JJ, 1985, FUZZY SET SYST, V15, P21, DOI 10.1016/0165-0114(85)90013-2. BUCKLEY JJ, 1989, FUZZY SET SYST, V30, P337, DOI 10.1016/0165-0114(89)90025-0. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. 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Roventa E, 2003, FUZZY SET SYST, V136, P375, DOI 10.1016/S0165-0114(02)00218-X. Rustagi JagdishS., 1976, VARIATIONAL METHODS. Wu N., 1997, The Maximum Entropy Method. Data and Knowledge in a Changing World, DOI DOI 10.1007/978-3-642-60629-8. YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068.}, Number-of-Cited-References = {21}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {024RJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000236213400001}, DA = {2026-04-14}, } @article{ WOS:000247767200003, Author = {Maji, Pradipta and Pal, Sankar K.}, Title = {Protein sequence analysis using relational soft clustering algorithms}, Journal = {INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS}, Year = {2007}, Volume = {84}, Number = {5}, Pages = {599-617}, Abstract = {To recognize functional sites within a protein sequence, the non-numerical attributes of the sequence need encoding prior to using a pattern recognition algorithm. The success of recognition depends on the efficient coding of the biological information contained in the sequence. In this regard, a bio-basis function maps a non-numerical sequence space to a numerical feature space, based on an amino acid mutation matrix. In effect, the biological content in a sequence can be maximally utilized for analysis. One of the important issues for the bio-basis function is how to select a minimum set of bio-bases with maximum information. In this paper, we present two relational soft clustering algorithms, named rough c-medoids and fuzzy-possibilistic c-medoids, to select the most informative bio-bases. While both fuzzy and possibilistic memberships of fuzzy-possibilistic c-medoids avoid the noise sensitivity defect of fuzzy c-medoids and the coincident clusters problem of possibilistic c-medoids, the concept of lower and upper boundaries of rough c-medoids deals with uncertainty, vagueness, and incompleteness in class definition of biological data. The concept of `degree of resemblance', based on non-gapped pairwise homology alignment score, circumvents the initialization and local minima problems of both c-medoids algorithms. In effect, it enables efficient selection of a minimum set of most informative bio-bases. The effectiveness of the algorithms, along with a comparison with other algorithms, has been demonstrated on HIV (human immunodeficiency virus) protein datasets.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Maji, P (Corresponding Author), Indian Stat Inst, Ctr Soft Comp Res, 203 BT Rd, Kolkata 700108, W Bengal, India. Indian Stat Inst, Ctr Soft Comp Res, Kolkata 700108, W Bengal, India.}, DOI = {10.1080/00207160701210083}, ISSN = {0020-7160}, EISSN = {1029-0265}, Keywords = {fuzzy sets; pattern recognition; relational clustering; rough sets; sequence analysis}, Keywords-Plus = {FUNCTION NEURAL-NETWORK; CLEAVAGE SITES; PREDICTION; MODEL}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {pmaji@isical.ac.in}, Affiliations = {Indian Statistical Institute; Indian Statistical Institute Kolkata}, ResearcherID-Numbers = {Pal, Sankar/G-2243-2010 Maji, Pradipta/AAZ-3478-2020}, ORCID-Numbers = {Maji, Pradipta/0000-0002-8288-8917}, Cited-References = {ALTSCHUL SF, 1994, NAT GENET, V6, P119, DOI 10.1038/ng0294-119. ALTSCHUL SF, 1990, J MOL BIOL, V215, P403, DOI 10.1016/S0022-2836(05)80360-2. Banerjee M, 1998, IEEE T NEURAL NETWOR, V9, P1203, DOI 10.1109/72.728363. BARRESINOUSSI F, 1983, SCIENCE, V220, P868, DOI 10.1126/science.6189183. 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Yang ZR, 2004, BIOINFORMATICS, V20, P903, DOI 10.1093/bioinformatics/bth001. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {32}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Int. J. Comput. Math.}, Doc-Delivery-Number = {186GN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000247767200003}, DA = {2026-04-14}, } @article{ WOS:000320432800005, Author = {Baraldi, Piero and Compare, Michele and Zio, Enrico}, Title = {Uncertainty analysis in degradation modeling for maintenance policy assessment}, Journal = {PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY}, Year = {2013}, Volume = {227}, Number = {3, SI}, Pages = {267-278}, Month = {JUN}, Abstract = {We consider the problem of the evaluation of the maintenance policy of a component by means of degradation modeling. We assume that the stochastic laws governing the degradation process are uncertain, and so are the related parameters. We assume that the information available is in the form of qualitative judgment by an expert. We develop a representation framework based on possibility theory and the concept of fuzzy random variables. An example of application is given with reference to a medium-voltage circuit-breaker test facility.}, Publisher = {SAGE PUBLICATIONS LTD}, Address = {1 OLIVERS YARD, 55 CITY ROAD, LONDON EC1Y 1SP, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zio, E (Corresponding Author), Politecn Milan, Dept Energy, Via Ponzio 34-3, I-20133 Milan, Italy. Baraldi, Piero; Compare, Michele; Zio, Enrico, Politecn Milan, Dept Energy, I-20133 Milan, Italy. Zio, Enrico, Ecole Cent Paris, European Fdn New Energy Elect France, Paris, France.}, DOI = {10.1177/1748006X13488479}, ISSN = {1748-006X}, Keywords = {Maintenance; uncertainty; imprecise model parameters; fuzzy random variables}, Keywords-Plus = {PROBABILITIES}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {enrico.zio@polimi.it}, Affiliations = {Polytechnic University of Milan; Universite Paris Saclay; Electricite de France (EDF)}, ResearcherID-Numbers = {Baraldi, Piero/C-2085-2011 }, ORCID-Numbers = {Zio, Enrico/0000-0002-7108-637X}, Cited-References = {APOSTOLAKIS G, 1990, SCIENCE, V250, P1359, DOI 10.1126/science.2255906. Baraldi P, 2013, INFORM SCIENCES, V245, P112, DOI 10.1016/j.ins.2012.11.003. Baraldi P, 2013, QUAL RELIAB ENG INT, V29, P385, DOI 10.1002/qre.1388. Baraldi P, 2011, APPL SOFT COMP UNPUB. 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Risk Reliab.}, Doc-Delivery-Number = {164TO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000320432800005}, DA = {2026-04-14}, } @article{ WOS:000244218500001, Author = {Comby, F. and Strauss, O.}, Title = {Using quasi-continuous histograms for fuzzy main motion estimation in video sequence}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2007}, Volume = {158}, Number = {5}, Pages = {475-495}, Month = {MAR 1}, Abstract = {This paper presents a new fuzzy framework for main motion estimation in video sequences. The estimation is performed using a fuzzy representation of pixel gray levels. The motion is characterized by a set of parameters such as horizontal translation, rotation, etc. The method is based on a Hough-like vote procedure. In this scheme, the parametric space is discretized and each pixel votes for each bin of this discrete space. The votes are accumulated in a ``quasi-continuous histogram{''} (QCH). The use of possibility theory and imprecise probabilities provides an accurate estimation of the histogram's mode related to the main motion. The advantages of quasi-continuous histograms in terms of accuracy and robustness are discussed in this paper. Very promising results were obtained using real and simulated video sequences. Comparative studies with classical methods are also presented. (c) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Comby, F (Corresponding Author), LIRMM, 161 Rue Ada, F-34392 Montpellier 5, France. LIRMM, F-34392 Montpellier 5, France.}, DOI = {10.1016/j.fss.2006.09.011}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {main apparent rnotion; image processing; fuzzy; possibility theory; imprecision; uncertainty; quasi-continuous histograms}, Keywords-Plus = {OPTICAL-FLOW; COMPUTATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {comby@lirmm.fr strauss@lirmm.fr}, Affiliations = {Centre National de la Recherche Scientifique (CNRS); Universite Paul-Valery; Universite Perpignan Via Domitia; Universite de Montpellier}, Cited-References = {ASHWANDEN P, 1993, ROBUST COMPUT VISION, P268. BARRON JL, 1994, INT J COMPUT VISION, V12, P43, DOI 10.1007/BF01420984. BENNAMOUN M, 1997, P JAF NOV, V1, P139. BENOIT E, 1991, P 8 INT S ART INT BA, V1, P131. Bezdek J. C., PATTERN RECOGN. Bhat DN, 1997, PROC CVPR IEEE, P982, DOI 10.1109/CVPR.1997.609447. 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Zelnik-Manor L, 2000, IEEE T PATTERN ANAL, V22, P1105, DOI 10.1109/34.879791.}, Number-of-Cited-References = {47}, Times-Cited = {3}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {136JN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000244218500001}, OA = {Green Submitted, Bronze}, DA = {2026-04-14}, } @article{ WOS:001270804400001, Author = {Mahmoodirad, Ali and Pamucar, Dragan and Niroomand, Sadegh}, Title = {A new intuitionistic fuzzy scheme of data envelopment analysis for evaluating rural comprehensive health service centers}, Journal = {SOCIO-ECONOMIC PLANNING SCIENCES}, Year = {2024}, Volume = {95}, Month = {OCT}, Abstract = {In this study, the classical CCR-IO DEA model (an input-oriented form of the DEA model of Charnes, Cooper, and Rhodes {[}24] is extended to an intuitionistic fuzzy environment. For this aim, the trapezoidal intuitionistic fuzzy numbers are used to show the values of inputs and outputs. An intuitionistic fuzzy number is characterized by membership, non-membership, and hesitancy degrees. Therefore, such type of fuzzy numbers is more complete and contains more information to reflect a fuzzy type of uncertainty comparing to the conventional fuzzy values. In order to solve the proposed intuitionistic fuzzy CCR-IO model, for the first time a possibility-based approach is developed for the intuitionistic fuzzy DEA models. In this approach for the first time the ME measure of fuzzy events is extended to intuitionistic fuzzy DEA models, therefore, some new definitions and propositions are presented and clarified. This measure is more flexible and effective comparing to the other measures such as credibility, necessity, and possibility measures. A case study from the health care sector of Iran is considered to evaluate the proposed solution approach numerically. The case study is solved under different scenarios, a full sensitivity analysis is performed, and finally some useful managerial insights are presented. In addition, the results of the proposed intuitionistic CCR-IO model are compared to the classical models of the literature.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA}, Type = {Article}, Language = {English}, Affiliation = {Pamucar, D (Corresponding Author), Univ Belgrade, Fac Org Sci, Dept Operat Res \& Stat, Belgrade, Serbia. Niroomand, S (Corresponding Author), Shiraz Univ Technol, Firouzabad Higher Educ Ctr, Dept Ind Engn, Shiraz, Iran. Mahmoodirad, Ali, Islamic Azad Univ, Dept Math, Ayatollah Amoli Branch, Amol, Iran. Pamucar, Dragan, Univ Belgrade, Fac Org Sci, Dept Operat Res \& Stat, Belgrade, Serbia. Pamucar, Dragan, Yuan Ze Univ, Dept Ind Engn \& Management, Taoyuan 320315, Taiwan. Pamucar, Dragan, Western Caspian Univ, Dept Mech \& Math, Baku, Azerbaijan. Niroomand, Sadegh, Shiraz Univ Technol, Firouzabad Higher Educ Ctr, Dept Ind Engn, Shiraz, Iran.}, DOI = {10.1016/j.seps.2024.102004}, EarlyAccessDate = {JUL 2024}, Article-Number = {102004}, ISSN = {0038-0121}, EISSN = {1873-6041}, Keywords = {Data envelopment analysis; Uncertainty; Intuitionistic fuzzy number; Possibility theory; Health care sector}, Keywords-Plus = {BANKING SECTOR; DEA MODEL; EFFICIENCY; MANAGEMENT; SUPPLIERS; SELECTION; OUTPUTS; COST}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Economics; Management; Operations Research \& Management Science}, Author-Email = {alimahmoodirad@gmail.com dragan.pamucar@fon.bg.ac.rs niroomand@sutech.ac.ir}, Affiliations = {Islamic Azad University; University of Belgrade; Yuan Ze University; Ministry of Education of Azerbaijan Republic; Western Caspian University; Shiraz University of Technology}, ResearcherID-Numbers = {Mahmoodirad, Ali/AAN-3047-2021 Pamucar, Dragan/AAG-8288-2019}, ORCID-Numbers = {Mahmoodirad, Ali/0000-0002-0018-5389 }, Cited-References = {Alem Seyed Mostafa, 2013, International Journal of Operational Research, V17, P38. 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Tavassoli M, 2020, SUSTAIN PROD CONSUMP, V21, P78, DOI 10.1016/j.spc.2019.11.001. Toloo M, 2022, OMEGA-INT J MANAGE S, V108, DOI 10.1016/j.omega.2021.102583. Wang P, 2023, FACTA UNIV-SER MECH, V21, P339, DOI 10.22190/FUME230805029W. Wang YM, 2005, FUZZY SET SYST, V153, P347, DOI 10.1016/j.fss.2004.12.011. Wanke P, 2018, RAIRO-OPER RES, V52, P285, DOI 10.1051/ro/2016065. Wanke P, 2016, TRANSPORT POLICY, V49, P9, DOI 10.1016/j.tranpol.2016.03.012. Xu JP, 2013, INFORM SCIENCES, V238, P75, DOI 10.1016/j.ins.2013.02.011.}, Number-of-Cited-References = {69}, Times-Cited = {4}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {14}, Journal-ISO = {Socio-Econ. Plan. Sci.}, Doc-Delivery-Number = {YT7N5}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001270804400001}, DA = {2026-04-14}, } @article{ WOS:000082986300010, Author = {Parra, MA and Terol, AB and Uría, MVR}, Title = {Solution of a possibilistic multiobjective linear programming problem}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {1999}, Volume = {119}, Number = {2}, Pages = {338-344}, Month = {DEC 1}, Abstract = {The estimate of the parameters which define a conventional multiobjective decision making model is a difficult task. Normally they are either given by the Decision Maker who has imprecise information and/or expresses his considerations subjectively, or by statistical inference from the past data and their stability is doubtful. Therefore, it is reasonable to construct a model reflecting imprecise data or ambiguity in terms of fuzzy sets and several fuzzy approaches to multiobjective programming have been developed {[}1,9-11]. The fuzziness of the parameters gives rise to a problem whose solution will also be fuzzy, see {[}2,3], and which is defined by its possibility distribution. Once the possibility distribution of the solution has been obtained, if the decision maker wants more precise information with respect to the decision vector, then we can pose and solve a new problem. In this case we try to find a decision vector, which approximates as much as possible the fuzzy objectives to the fuzzy solution previously obtained. In order to solve this problem we shall develop two different models from the initial solution and based on Goal Programming: an Interval Goal Programming Problem if we define the relation ``as accurate as possible{''} based on the expected intervals of fuzzy numbers, as we showed in {[}4], and an ordinary Goal Programming based on the expected values of the fuzzy numbers that defined the goals. Finally, we construct algorithms that implement the above mentioned solution method. Our approach will be illustrated by means of a numerical example. (C) 1999 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Parra, MA (Corresponding Author), Univ Oviedo, Dpto Econ Cuantitativa, E-33006 Oviedo, Spain. Univ Oviedo, Dpto Econ Cuantitativa, E-33006 Oviedo, Spain.}, ISSN = {0377-2217}, Keywords = {multiobjective programming; decision making; fuzzy programming; possibility distribution; fuzzy number; expected value}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Affiliations = {University of Oviedo}, ResearcherID-Numbers = {Bilbao Terol, Amelia/B-6569-2014 ARENAS-PARRA, MAR/B-7768-2009}, ORCID-Numbers = {Bilbao Terol, Amelia/0000-0002-5634-1010 ARENAS-PARRA, MAR/0000-0002-7890-9287}, Cited-References = {ARENAS M, 1997, LECT NOTES EC MATH S, V448, P255. ARENAS M, 1996, LECT NOTES EC MATH S, V432, P270. ARENAS M, 1998, TRENDS MULTICRITERIA, P104. ARENAS M, 1997, THESIS U OVIEDO. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. HEILPERN S, 1992, FUZZY SET SYST, V47, P81, DOI 10.1016/0165-0114(92)90062-9. Ignizio J.P., 1976, GOAL PROGRAMMING EXT. Lai Y.-J., 1994, FUZZY MULTIPLE OBJEC. Sakawa M., 1993, FUZZY SETS INTERACTI. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {11}, Times-Cited = {13}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {243FL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000082986300010}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000080918700013, Author = {Parra, MA and Terol, AB and Uría, MVR}, Title = {Solving the multiobjective possibilistic linear programming problem}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {1999}, Volume = {117}, Number = {1}, Pages = {175-182}, Month = {AUG 16}, Abstract = {In conventional multiobjective decision making problems, the estimation of the parameters of the model is often a problematic task. Normally they are either given by the decision maker (DM), who has imprecise information and/or expresses his considerations subjectively, or by statistical inference from past data and their stability is doubtful. Therefore, it is reasonable to construct a model reflecting imprecise data or ambiguity in terms of fuzzy sets for which a lot of fuzzy approaches to multiobjective programming have been developed. In this paper we propose a method to solve a multiobjective linear programming problem involving fuzzy parameters (FP-MOLP), whose possibility distributions are given by fuzzy numbers, estimated from the information provided by the DM. As the parameters, intervening in the model, are fuzzy the solutions will be also fuzzy. We propose a new Pareto Optimal Solution concept for fuzzy multiobjective programming problems. It is based on the extension principle and the joint possibility distribution of the fuzzy parameters of the problem. The method relies on cc-cuts of the fuzzy solution to generate its possibility distributions. These ideas are illustrated with a numerical example. (C) 1999 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Uría, MVR (Corresponding Author), Univ Oviedo, Dpto Econ Cuantitativa, Oviedo, Spain. Univ Oviedo, Dpto Econ Cuantitativa, Oviedo, Spain.}, DOI = {10.1016/S0377-2217(98)00160-X}, ISSN = {0377-2217}, Keywords = {mathematical programming; fuzzy sets; fuzzy number; fuzzy programming; possibility distribution}, Keywords-Plus = {FUZZY}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Affiliations = {University of Oviedo}, ResearcherID-Numbers = {ARENAS-PARRA, MAR/B-7768-2009 Bilbao Terol, Amelia/B-6569-2014}, ORCID-Numbers = {ARENAS-PARRA, MAR/0000-0002-7890-9287 Bilbao Terol, Amelia/0000-0002-5634-1010}, Cited-References = {ARENAS M, 1996, LECT NOTES EC MATH S, V432, P270. ARENAS M, 1997, THESIS U OVIEDO. Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141. BUCKLEY JJ, 1990, FUZZY SET SYST, V35, P23, DOI 10.1016/0165-0114(90)90015-X. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. Lai Y.-J., 1994, FUZZY MULTIPLE OBJEC. LEE ES, 1993, FUZZY SET SYST, V53, P275, DOI 10.1016/0165-0114(93)90399-3. NEGOITA CV, 1981, FUZZY SET SYST, V6, P261, DOI 10.1016/0165-0114(81)90004-X. PARRA MA, 1997, LECT NOTES EC MATH S, V448, P255. ROUBENS M, 1991, FUZZY SET SYST, V42, P119, DOI 10.1016/0165-0114(91)90093-6. SAKAWA M, 1993, APPL INFORMATION TEC. TANAKA H, 1984, FUZZY SET SYST, V13, P1, DOI 10.1016/0165-0114(84)90022-8. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {13}, Times-Cited = {25}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {207CW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000080918700013}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000242517500005, Author = {Baudrit, C. and Dubois, D.}, Title = {Practical representations of incomplete probabilistic knowledge}, Journal = {COMPUTATIONAL STATISTICS \& DATA ANALYSIS}, Year = {2006}, Volume = {51}, Number = {1}, Pages = {86-108}, Month = {NOV 1}, Abstract = {The compact representation of incomplete probabilistic knowledge which can be encountered in risk evaluation problems, for instance in environmental studies is considered. Various kinds of knowledge are considered such as expert opinions about characteristics of distributions or poor statistical information. The approach is based on probability families encoded by possibility distributions and belief functions. In each case, a technique for representing the available imprecise probabilistic information faithfully is proposed, using different uncertainty frameworks, such as possibility theory, probability theory, and belief functions, etc. Moreover the use of probability-possibility transformations enables confidence intervals to be encompassed by cuts of possibility distributions, thus making the representation stronger. The respective appropriateness of pairs of cumulative distributions, continuous possibility distributions or discrete random sets for representing information about the mean value, the mode, the median and other fractiles of ill-known probability distributions is discussed in detail. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Baudrit, C (Corresponding Author), Univ Orleans, Lab Math \& Applicat Phys Math Orleans, Rue Chartres BP 6759, F-45067 Orleans 2, France. Univ Orleans, Lab Math \& Applicat Phys Math Orleans, F-45067 Orleans 2, France. Univ Toulouse 3, Inst Rech Informat Toulouse, F-31062 Toulouse 4, France.}, DOI = {10.1016/j.csda.2006.02.009}, ISSN = {0167-9473}, EISSN = {1872-7352}, Keywords = {imprecise probabilities; possibility theory; belief functions; probability-boxes}, Keywords-Plus = {BELIEF FUNCTIONS; SIMULATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Statistics \& Probability}, Author-Email = {baudrit@irit.fr}, Affiliations = {Universite de Orleans; Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite Toulouse III - Paul Sabatier; Institut National Polytechnique de Toulouse; Universite Toulouse 1 Capitole; Universite de Toulouse - Jean Jaures; Centre National de la Recherche Scientifique (CNRS)}, Cited-References = {{[}Anonymous], SERIES ADV MATH APPL. BARDOSSY A, 1995, ADV WATER RESOUR, V18, P237, DOI 10.1016/0309-1708(95)00009-8. Bardossy Gyorgi., 2004, EVALUATION UNCERTAIN. Baudrit C, 2004, ADV SOFT COMP, P149. BAUDRIT C, 2006, IN PRESS IEEE T FUZZ. Baudrit C., 2004, Proc. Conf. on Information proceeding and Management of uncertainty in knowledge-based systems, P873. Baudrit C, 2005, ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS, P31. de Cooman G, 1999, INFORM SCIENCES, V118, P173, DOI 10.1016/S0020-0255(99)00007-9. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. Dou CH, 1997, J CONTAM HYDROL, V27, P107, DOI 10.1016/S0169-7722(96)00047-2. DOU CH, 1995, WATER RESOUR RES, V31, P2709, DOI 10.1029/95WR02310. Dubois D., 2004, Reliable Computing, V10, P273, DOI 10.1023/B:REOM.0000032115.22510.b5. DUBOIS D, 1992, FUZZY SET SYST, V49, P65, DOI 10.1016/0165-0114(92)90110-P. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. Dubois D, 2000, HDB FUZZ SET SER, V7, P343. Dubois D, 1996, IEEE T SYST MAN CY A, V26, P361, DOI 10.1109/3468.487961. 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Shafer G., 1976, A mathematical theory of evidence, V76. Smets P, 2005, INT J APPROX REASON, V40, P181, DOI 10.1016/j.ijar.2005.04.001. SMETS P, 1994, ARTIF INTELL, V66, P191, DOI 10.1016/0004-3702(94)90026-4. Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427.}, Number-of-Cited-References = {34}, Times-Cited = {153}, Usage-Count-Last-180-days = {3}, Usage-Count-Since-2013 = {16}, Journal-ISO = {Comput. Stat. Data Anal.}, Doc-Delivery-Number = {112HV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000242517500005}, DA = {2026-04-14}, } @article{ WOS:000257177800003, Author = {Baudrit, C. and Dubois, D. and Perrot, N.}, Title = {Representing parametric probabilistic models tainted with imprecision}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2008}, Volume = {159}, Number = {15}, Pages = {1913-1928}, Month = {AUG 1}, Abstract = {Numerical possibility theory, belief functions have been suggested as useful tools to represent imprecise, vague or incomplete information. They are particularly appropriate in uncertainty analysis where information is typically tainted with imprecision or incompleteness. Based on their experience or their knowledge about a random phenomenon, experts can sometimes provide a class of distributions without being able to precisely specify the parameters of a probability model. Frequentists use two-dimensional Monte-Carlo simulation to account for imprecision associated with the parameters of probability models. They hence hope to discover how variability and imprecision interact. This paper presents the limitations and disadvantages of this approach and propose a fuzzy random variable approach to treat this kind of knowledge. (C) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Baudrit, C (Corresponding Author), INRA, AgroParisTech, UMR Genie \& Microbiol Procedes Alimentaires 782, F-78850 Thiverval Grignon, France. Baudrit, C.; Perrot, N., INRA, AgroParisTech, UMR Genie \& Microbiol Procedes Alimentaires 782, F-78850 Thiverval Grignon, France. Dubois, D., Univ Toulouse 3, Inst Rech Informat Toulouse, F-31062 Toulouse 4, France.}, DOI = {10.1016/j.fss.2008.02.013}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {imprecise probabilities; possibility; belief functions; probability-boxes; Monte-Carlo 2D; fuzzy random variable}, Keywords-Plus = {JOINT PROPAGATION; BELIEF FUNCTIONS; FUZZY; ASSESSMENTS; UNCERTAINTY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {cbaudrit@grignon.inra.fr dubois@irit.fr nathalie.perrot@grignon.inra.fr}, Affiliations = {Universite Paris Saclay; AgroParisTech; INRAE; Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite Toulouse III - Paul Sabatier; Institut National Polytechnique de Toulouse; Universite Toulouse 1 Capitole; Universite de Toulouse - Jean Jaures; Centre National de la Recherche Scientifique (CNRS)}, ORCID-Numbers = {Perrot, Nathalie Mejean/0000-0003-3795-0838}, Cited-References = {{[}Anonymous], 1999, HDB DEALING VARIABIL. {[}Anonymous], RAGS A. Baudrit C, 2006, COMPUT STAT DATA AN, V51, P86, DOI 10.1016/j.csda.2006.02.009. Baudrit C, 2007, INT J APPROX REASON, V45, P82, DOI 10.1016/j.ijar.2006.07.001. Baudrit C, 2006, IEEE T FUZZY SYST, V14, P593, DOI 10.1109/TFUZZ.2006.876720. COUSO I, 2007, P 5 INT S IMPR PROB, P135. Couso I., 2000, RISK DECISION POLICY, V5, P165, DOI DOI 10.1017/S1357530900000156. COUSO I, 2002, STAT MODELING ANAL M, P127. Couso I, 2008, FUZZY SET SYST, V159, P237, DOI 10.1016/j.fss.2007.09.004. de Cooman G, 2005, FUZZY SET SYST, V154, P305, DOI 10.1016/j.fss.2005.01.005. de Cooman G, 1999, INFORM SCIENCES, V118, P173, DOI 10.1016/S0020-0255(99)00007-9. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. Destercke S, 2006, ADV SOFT COMP, P249. DESTERCKE S, 2007, P 3 INT S IMPR PROB, P155. Dubois D, 2000, HDB FUZZ SET SER, V7, P483. DUBOIS D, 1992, FUZZY SET SYST, V49, P65, DOI 10.1016/0165-0114(92)90110-P. DUBOIS D, 1987, FUZZY SET SYST, V24, P279, DOI 10.1016/0165-0114(87)90028-5. 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Nelsen RB., 1999, INTRO COPULAS. PURI ML, 1986, J MATH ANAL APPL, V114, P409, DOI 10.1016/0022-247X(86)90093-4. RALESCU D, 2002, STAT MODELING ANAL M, P119. Shafer G., 1976, A mathematical theory of evidence, V76. Smets P, 2005, INT J APPROX REASON, V40, P181, DOI 10.1016/j.ijar.2005.04.001. SMETS P, 1994, ARTIF INTELL, V66, P191, DOI 10.1016/0004-3702(94)90026-4. Walley P., 1991, STAT REASONING IMPRE, DOI DOI 10.2307/2347427.}, Number-of-Cited-References = {39}, Times-Cited = {66}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {9}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {319QC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000257177800003}, DA = {2026-04-14}, } @article{ WOS:000502060200004, Author = {Karasan, Ali and Zavadskas, Edmundas Kazimieras and Kahraman, Cengiz and Keshavarz-Ghorabaee, Mehdi}, Title = {Residential Construction Site Selection Through Interval-Valued Hesitant Fuzzy CODAS Method}, Journal = {INFORMATICA}, Year = {2019}, Volume = {30}, Number = {4}, Pages = {689-710}, Abstract = {Construction site selection is a complex problem involving many alternatives and conflicting criteria with vague and imprecise evaluations. Fuzzy multi-criteria decision-making methods are the most effective tools to obtain optimum solutions under possibilistic uncertainty. In this paper, a novel interval hesitant fuzzy CODAS method is proposed and applied to a residential construction site selection problem. A comparative analysis with ordinary fuzzy CODAS method is applied for validating the proposed method. Also, a sensitivity analysis is conducted for the stability of the ranking results of the interval hesitant fuzzy CODAS method. The results of the analyses demonstrate the effectiveness of our proposed method.}, Publisher = {VILNIUS UNIV PRESS}, Address = {9 SAULETEKIO AV, VILNIUS, LITHUANIA}, Type = {Article}, Language = {English}, Affiliation = {Karasan, A (Corresponding Author), Yildiz Tech Univ, Grad Sch Sci \& Engn, TR-34220 Istanbul, Turkey. Karasan, A (Corresponding Author), Istanbul Tech Univ, Ind Engn Dept, TR-34367 Istanbul, Turkey. Karasan, Ali, Yildiz Tech Univ, Grad Sch Sci \& Engn, TR-34220 Istanbul, Turkey. Zavadskas, Edmundas Kazimieras, Vilnius Gediminas Tech Univ, Dept Construct Technol \& Management, Fac Civil Engn, Vilnius, Lithuania. Karasan, Ali; Kahraman, Cengiz, Istanbul Tech Univ, Ind Engn Dept, TR-34367 Istanbul, Turkey. Keshavarz-Ghorabaee, Mehdi, Gonbad Kavous Univ, Fac Humanities, Dept Management, Azadshahr Branch, Gonbad Kavous, Iran.}, DOI = {10.15388/Informatica.2019.225}, ISSN = {0868-4952}, EISSN = {1822-8844}, Keywords = {construction site; multi-criteria; CODAS; hesitant fuzzy sets; selection problem}, Keywords-Plus = {ANALYTIC HIERARCHY PROCESS; WASTE INCINERATION PLANT; DECISION-MAKING; CRITERIA; AHP; CITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Information Systems; Mathematics, Applied}, Author-Email = {akarasan@yildiz.edu.tr edmundas.zavadskas@vgtu.lt kahramanc@itu.edu.tr m.keshavarz\_gh@yahoo.com}, Affiliations = {Yildiz Technical University; Vilnius Gediminas Technical University; Istanbul Technical University}, ResearcherID-Numbers = {Keshavarz-Ghorabaee, Mehdi/J-5488-2014 Zavadskas, Edmundas/Q-6048-2018 kahraman, cengiz/N-9259-2013 Karaşan, Ali/U-3966-2017}, ORCID-Numbers = {Keshavarz-Ghorabaee, Mehdi/0000-0002-0362-1633 }, Cited-References = {{[}Anonymous], 2005, INT J PURE APPL MATH, DOI DOI 10.1109/GRC.2006.1635754. {[}Anonymous], 1975, FONCTIONS PHI FLOUES. {[}Anonymous], 2018, SUSTAINABILITY BASEL, DOI DOI 10.3390/SU10082926. 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Zhang ZM, 2013, INFORM SCIENCES, V234, P150, DOI 10.1016/j.ins.2013.01.002.}, Number-of-Cited-References = {45}, Times-Cited = {12}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {21}, Journal-ISO = {Informatica}, Doc-Delivery-Number = {JV0MA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000502060200004}, OA = {hybrid}, DA = {2026-04-14}, } @article{ WOS:000299120200008, Author = {Hu, Qing and Huang, Guohe and Liu, Zhenfang and Fan, Yurui and Li, Wei}, Title = {Inexact fuzzy two-stage programming for water resources management in an environment of fuzziness and randomness}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2012}, Volume = {26}, Number = {2}, Pages = {261-280}, Month = {FEB}, Abstract = {A standard lower-side attainment values based inexact fuzzy two-stage programming (SLA-IFTSP) approach is proposed for supporting multi-water resources management under multi-uncertainties. The method improves upon the existing inexact two-stage stochastic programming by the introduction of a standard average lower-side attainment values based fuzzy linear programming. Multi-uncertainties such as intervals, probabilistic and/or possibilistic distributions and their combinations in water resources management can be directly communicated into the water allocation process. The risk of infeasibility caused by the random water availabilities can be analyzed by imposing economic penalties when the designed water allocations would not be satisfied after the occurrence of random seasonal flows. Based on the standard average lower-side attainment index, the fuzzy random relationships representing various subjective judgments in the model can be transformed into corresponding deterministic ones without additional constraints, and thus guarantee a higher computational efficiency. A hypothetical case regarding two-source water resources management is adopted for demonstrating its applicability. Reasonable solutions have been generated. They provide desired water allocations with maximized system benefit under different water availability levels. The solutions of intervals with different probabilities can be used for generating decision alternatives. Comparisons between the solutions from SLA-IFTSP and those from ITSP are also undertaken. They show that SLA-IFTSP can generate more reasonable water allocation patterns with higher net system benefits than ITSP.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Huang, GH (Corresponding Author), N China Elect Power Univ, S \& C Acad Energy \& Environm Res, MOE Key Lab Reg Energy Syst Optimizat, Beijing 102206, Peoples R China. Hu, Qing; Huang, Guohe; Li, Wei, N China Elect Power Univ, S \& C Acad Energy \& Environm Res, MOE Key Lab Reg Energy Syst Optimizat, Beijing 102206, Peoples R China. Liu, Zhenfang; Fan, Yurui, Univ Regina, Fac Engn \& Appl Sci, Regina, SK S4S 0A2, Canada.}, DOI = {10.1007/s00477-011-0503-7}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Fuzzy boundary intervals; Randomness; Two-stage; Multi-uncertainties; Water resources management}, Keywords-Plus = {QUALITY MANAGEMENT; ROBUST OPTIMIZATION; OPTIMAL ALLOCATION; ATTAINMENT VALUES; UNCERTAINTY; MODEL; INTERVAL; RIVER; IRRIGATION}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {huang@iseis.org}, Affiliations = {North China Electric Power University; University of Regina}, ResearcherID-Numbers = {FAN, YURUI/F-5949-2012 Huang, Guohe/H-5306-2011 Hu, Qing/KMY-7342-2024}, ORCID-Numbers = {FAN, YURUI/0000-0002-0532-4026 Huang, Guohe/0000-0003-4974-3019 }, Funding-Acknowledgement = {Major Science and Technology Program for Water Pollution Control and Treatment {[}2009ZX07104-004]}, Funding-Text = {This research has been supported by the Major Science and Technology Program for Water Pollution Control and Treatment (2009ZX07104-004). 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Qin XS, 2008, GROUND WATER, V46, P755, DOI {[}10.1111/j.1745-6584.2008.00464.x, 10.1111/j.I745-6584.2008.00464.x]. Qin XS, 2007, EUR J OPER RES, V180, P1331, DOI 10.1016/j.ejor.2006.03.053. RAMIK J, 1985, FUZZY SET SYST, V16, P123, DOI 10.1016/S0165-0114(85)80013-0. Rommelfanger H, 1996, EUR J OPER RES, V92, P512, DOI 10.1016/0377-2217(95)00008-9. Shangguan ZP, 2002, AGR WATER MANAGE, V52, P139, DOI 10.1016/S0378-3774(01)00116-0. Tan Q, 2010, STOCH ENV RES RISK A, V24, P147, DOI 10.1007/s00477-009-0307-1. Tsakiris G., 2004, EUROPEAN WATER, V7, P25. Van Hop N, 2007, INFORM SCIENCES, V177, P2971, DOI 10.1016/j.ins.2007.01.032. Van Hop N, 2007, INFORM SCIENCES, V177, P1977, DOI 10.1016/j.ins.2006.12.001. Xu Y, 2009, ENVIRON ENG SCI, V26, P1765, DOI 10.1089/ees.2009.0212. Zimmermann H J, 2001, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {48}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {65}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {876PQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000299120200008}, DA = {2026-04-14}, } @article{ WOS:000171448100001, Author = {Klir, GJ and Smith, RM}, Title = {On measuring uncertainty and uncertainty-based information: Recent developments}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2001}, Volume = {32}, Number = {1-4}, Pages = {5-33}, Abstract = {It is shown in this paper how the emergence of fuzzy set theory and the theory of monotone measures considerably expanded the framework for formalizing uncertainty and suggested many new types of uncertainty theories. The paper focuses on issues regarding the measurement of the amount of relevant uncertainty (predictive, prescriptive, diagnostic, etc.) in nondeterministic systems formalized in terms of the various uncertainty theories. It is explained how information produced by an action can be measured by the reduction of uncertainty produced by the action. Results regarding measures of uncertainty band uncertainty-based information) in possibility theory, Dempster-Shafer theory, and the various theories of imprecise probabilities are surveyed. The significance of these results in developing sound methodological principles of uncertainty and uncertainty-based information is discussed.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Klir, GJ (Corresponding Author), SUNY Binghamton, Ctr Intelligent Syst, Binghamton, NY 13902 USA. SUNY Binghamton, Ctr Intelligent Syst, Binghamton, NY 13902 USA. SUNY Binghamton, Dept Syst Sci \& Ind Engn, Binghamton, NY 13902 USA.}, DOI = {10.1023/A:1016784627561}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords = {uncertainty; uncertainty-based information; nonspecificity; conflict; possibility theory; Dempster-Shafer theory; theories of imprecise probabilities; fuzzy sets; monotone measures; tough sets}, Keywords-Plus = {FUZZY; TRANSFORMATIONS; UNIQUENESS; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Affiliations = {State University of New York (SUNY) System; Binghamton University, SUNY; State University of New York (SUNY) System; Binghamton University, SUNY}, Cited-References = {Abellan J, 2000, INT J UNCERTAIN FUZZ, V8, P357, DOI 10.1142/S0218488500000253. CHATEAUNEUF A, 1989, MATH SOC SCI, V17, P263, DOI 10.1016/0165-4896(89)90056-5. Choquet G., 1954, ANN LINSTITUT FOURIE, V5, P131, DOI {[}DOI 10.5802/AIF.53, 10.5802/aif.53]. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1994, IEEE SOFTWARE, V11, P48, DOI 10.1109/52.329401. ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {52}, Times-Cited = {107}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {26}, Journal-ISO = {Ann. Math. Artif. Intell.}, Doc-Delivery-Number = {480EB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000171448100001}, DA = {2026-04-14}, } @article{ WOS:000244393200003, Author = {Thavaneswaran, A. and Thiagarajah, K. and Appadoo, S. S.}, Title = {Fuzzy coefficient volatility (FCV) models with applications}, Journal = {MATHEMATICAL AND COMPUTER MODELLING}, Year = {2007}, Volume = {45}, Number = {7-8}, Pages = {777-786}, Month = {APR}, Abstract = {Recently, Carlsson and Fuller {[}C. Carlsson, R. Fuller, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122 (2001) 315-326] have introduced possibilistic mean, variance and covariance of fuzzy numbers and Fuller and Majlender {[}R. Fuller, P. Majlender, On weighted possibilistic mean and variance of fuzzy numbers, Fuzzy Sets and Systems 136 (2003) 363-374] have introduced the notion of crisp weighted possibilistic moments of fuzzy numbers. In this paper, we propose a class of FCV (Fuzzy Coefficient Volatility) models and study the moment properties. The method used here is very similar to the method used in Appadoo et al. {[}S.S. Appadoo, M. Ghahramani, A. Thavaneswaran, Moment properties of some time series models, Math. Sci. 30 (1) (2005) 50-63]. The proposed models incorporate fuzziness, subjectivity, arbitrariness and uncertainty observed in most financial time series. The usual forecasting method does not incorporate parameter variability. Fuzzy numbers are used to model the parameters to incorporate parameter variability. (c) 2006 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Thavaneswaran, A (Corresponding Author), Univ Manitoba, Dept Stat, Winnipeg, MB R3T 2N2, Canada. Univ Manitoba, Dept Stat, Winnipeg, MB R3T 2N2, Canada. Illinois State Univ, Dept Math, Normal, IL 61761 USA. Univ Manitoba, Dept Supply Chain Management, Winnipeg, MB, Canada.}, DOI = {10.1016/j.mcm.2006.07.019}, ISSN = {0895-7177}, Keywords = {possibilistic mean; possibilistic variance; fuzzy coefficient autoregressive model}, Keywords-Plus = {VARIANCE; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {thavane@ccu.umanitoba.ca}, Affiliations = {University of Manitoba; Illinois State University; University of Manitoba}, Cited-References = {ABRAHAM B, 1991, ANN I STAT MATH, V43, P493, DOI 10.1007/BF00053368. Appadoo S.S., 2005, MATH SCI, V30, P50. Carlsson C, 2003, FUZZY SET SYST, V139, P297, DOI 10.1016/S0165-0114(02)00591-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Carlsson C., 2002, Fuzzy Reasoning in Decision Making and Optimization. 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Model.}, Doc-Delivery-Number = {138WE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000244393200003}, DA = {2026-04-14}, } @article{ WOS:A1995RZ02900002, Author = {DUBOIS, D and PRADE, H}, Title = {FUZZY RELATION EQUATIONS AND CAUSAL REASONING}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1995}, Volume = {75}, Number = {2}, Pages = {119-134}, Month = {OCT 27}, Abstract = {Fuzzy relation-based models for handling uncertainty (in a non-probabilistic way) in diagnosis problems have been introduced by Sanchez about 20 years ago, and since then applied and developed by several researchers. The paper first reviews the existing proposals, also including the association-based abductive model proposed by Reggia and his co-workers, which uses non-fuzzy relations. A new model is presented in order to have a more expressive representation capable of handling uncertainty, and also of distinguishing (i) between manifestations which are certainly absent from those which are not (yet) observed, and (ii) between manifestations which cannot be caused by a given disorder and manifestations for which we do not know if they can or cannot be caused by this disorder. This new model is based on possibility theory and the so-called twofold fuzzy sets, previously introduced by the authors.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {DUBOIS, D (Corresponding Author), UNIV TOULOUSE 3,INST RECH INFORMAT TOULOUSE,CNRS,118 ROUTE NARBONNE,F-31062 TOULOUSE,FRANCE.}, DOI = {10.1016/0165-0114(95)00105-T}, ISSN = {0165-0114}, Keywords = {FUZZY RELATION EQUATION; DIAGNOSIS; ABDUCTION; POSSIBILITY; CERTAINTY}, Keywords-Plus = {INFERENCE; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {ADLASSNIG KP, 1986, FUZZY LOGIC KNOWLEDG, P275. Asse A., 1987, Approximate Reasoning in Intelligent Systems, Decision and Control, P159. BANDLER W, 1980, FUZZY SET SYST, V4, P13, DOI 10.1016/0165-0114(80)90060-3. 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Zadeh L., 1979, MACHINE INTELLIGENCE, P149.}, Number-of-Cited-References = {31}, Times-Cited = {40}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {RZ029}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1995RZ02900002}, DA = {2026-04-14}, } @article{ WOS:000863045900002, Author = {Boettcher, Maria and Graf, Wolfgang and Kaliske, Michael}, Title = {Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation}, Journal = {PROBABILISTIC ENGINEERING MECHANICS}, Year = {2022}, Volume = {70}, Month = {OCT}, Abstract = {The design process of products and structures such as tires constitutes a multi-objective optimization to enhance the performance for a specific usage. However, the specified geometry and material parameters as well as the boundary conditions, which are basis of the performance prediction resulting from a numerical simulation, cannot be guaranteed to coincide with the real parameters of a final product in use. Most parameters are subjected to variation in production, use and service, which can lead to significant variation in performance.The objective of this contribution is to introduce a scheme of the procedure for design optimization with consideration of uncertainty, including uncertainty modeling, uncertainty analysis and robustness evaluation. Thus, the choice of the design parameters will not be solely based on the predicted value, but also on the reliability of the performance. The focus lies on a detailed description of modeling uncertainties of tire design parameters with regard to production variation as well as to non-precise data, to enable uncertainty analysis and evaluation for tire performances.For choosing appropriate uncertainty models, a distinction is made for the two types aleatoric and epistemic uncertainty with respect to origin as well as consequence. Probabilistic, possibilistic and polymorphic uncertainty modeling approaches are selected for several geometry and material parameters, based on the situation of available data as well as their sensitivity. The utilized approaches include random variables, fuzzy variables and probability-boxes (p-boxes).}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kaliske, M (Corresponding Author), Tech Univ Dresden, Inst Struct Anal, D-01062 Dresden, Germany. Boettcher, Maria; Graf, Wolfgang; Kaliske, Michael, Tech Univ Dresden, Inst Struct Anal, D-01062 Dresden, Germany.}, DOI = {10.1016/j.probengmech.2022.103357}, EarlyAccessDate = {AUG 2022}, Article-Number = {103357}, ISSN = {0266-8920}, EISSN = {1878-4275}, Keywords = {Non-precise data; Polymorphic data uncertainty; Tire design; Production variation; Robustness}, Keywords-Plus = {GLOBAL SENSITIVITY INDEXES; NEURAL-NETWORKS; EPISTEMIC UNCERTAINTY; MODELS}, Research-Areas = {Engineering; Mechanics; Mathematics}, Web-of-Science-Categories = {Engineering, Mechanical; Mechanics; Statistics \& Probability}, Author-Email = {maria.boettcher@tu-dresden.de wolfgang.graf@tu-dresden.de michael.kaliske@tu-dresden.de}, Affiliations = {Technische Universitat Dresden}, ORCID-Numbers = {Böttcher, Maria/0000-0002-8766-3549}, Cited-References = {Aistleitner C, 2012, INT J THEOR APPL FIN, V15, DOI 10.1142/S021902491250046X. {[}Anonymous], 2012, 5 AS PAC S STRUCT RE. 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Mech.}, Doc-Delivery-Number = {5A7EE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000863045900002}, DA = {2026-04-14}, } @article{ WOS:000224335700005, Author = {Liu, YK and Liu, BD}, Title = {On minimum-risk problems in fuzzy random decision systems}, Journal = {COMPUTERS \& OPERATIONS RESEARCH}, Year = {2005}, Volume = {32}, Number = {2}, Pages = {257-283}, Month = {FEB}, Abstract = {In a decision-making process, we may face a hybrid environment where linguistic and frequent imprecision nature coexists. The problem of frequent imprecision can be solved by probability theory, while the problem of linguistic imprecision can be tackled by possibility theory. Therefore, to solve this hybrid decision-making problem, it is necessary to combine both theories effectively. In this paper, we restrict our attention to this hybrid decision-making problem, where the input data are imprecise and described by fuzzy random variables. Fuzzy random variable is a mapping from a probability space to a collection of fuzzy variables, it is an appropriate tool to deal with twofold uncertainty with fuzziness and randomness in an optimization framework. The purpose of this paper is to present reasonable chances of a fuzzy random event characterized by fuzzy random variables so that they can connect with the expected value operators of a fuzzy random variable via Choquet integrals, just like the relation between the probability of a random event and the mathematical expectation of a random variable, and that between the credibility of a fuzzy event and the expected value operator of a fuzzy variable. Toward that end, we take fuzzy measure and fuzzy integral theory as our research tool, and present three kinds of mean chances of a fuzzy random event via Choquet integrals. After discussing the duality of the mean chances, we use the mean chances to define the expected value operators of a fuzzy random variable via Choquet integrals. To show the reasonableness of the mean chance approach, we prove the expected value operators defined in this paper coincide with those presented in our previous work. Using the mean chances, we present a new class of fuzzy random minimum-risk problems, where the objective and the constraints are all defined by the mean chances. To solve general fuzzy random minimum-risk optimization problems, a hybrid intelligent algorithm, which integrates fuzzy random simulations, genetic algorithm and neural network, is designed, and its feasibility and effectiveness are illustrated by numerical examples. (C) 2003 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Liu, YK (Corresponding Author), Hebei Univ, Coll Math \& Comp Sci, Baoding 071002, Hebei, Peoples R China. Hebei Univ, Coll Math \& Comp Sci, Baoding 071002, Hebei, Peoples R China. Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.}, DOI = {10.1016/S0305-0548(03)00235-1}, ISSN = {0305-0548}, EISSN = {1873-765X}, Keywords = {fuzzy random variable; mean chances; fuzzy random programming; genetic algorithm; neural network}, Keywords-Plus = {DEFINITIONS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {liuyankui@tsinghua.org.cn}, Affiliations = {Hebei University; Tsinghua University}, ResearcherID-Numbers = {Liu, Baoding/E-6052-2011 Liu, Yan-Kui/IUN-3017-2023}, ORCID-Numbers = {Liu, Yan-Kui/0000-0002-3106-6761}, Cited-References = {{[}Anonymous], FUZZY OPTIMIZATION D. CHARNES A, 1963, OPER RES, V11, P18, DOI 10.1287/opre.11.1.18. Colubi A, 2001, INFORM SCIENCES, V133, P3, DOI 10.1016/S0020-0255(01)00073-1. 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Borrowing from both high- and low-order languages, HALO (High A- nd Low Order) integrates the symbolic programming and order-independent structure of expert systems with the control structures and procedural abstraction of Pascal. The HALO language is based on possibility theory and consequently, is well-suited to expert system development. HALO, probably best described as a `fuzzy Pascal', is simple to learn and use yet is powerful enough for complex artificial intelligence applications requiring structure, modularity, process control, and uncertainty management.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {CLARK, DF (Corresponding Author), FLORIDA STATE UNIV,SUS CTR ARTIFICIAL INTELLIGENCE,TALLAHASSEE,FL 32306, USA. FLORIDA STATE UNIV,DEPT COMP SCI,TALLAHASSEE,FL 32306.}, DOI = {10.1016/0165-0114(91)90003-9}, ISSN = {0165-0114}, Keywords = {FUZZY INTELLIGENT SYSTEMS; FUZZY PROGRAMMING; FUZZY EXPERT SYSTEMS; FUZZY EXPRESSIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {State University System of Florida; Florida State University}, Cited-References = {{[}Anonymous], MAN COMP P INT C BOR. BALDWIN JF, 1982, EMFS132 U BRIST REP. BALDWIN JF, 1979, 9TH INT S MULT VAL L. BROWNSTON L, 1985, OPS5 INTRO RULE BASE. BURTON M, 1987, POP 11 PROGRAMMING A. CLOCKSIN W, 1982, PROGRAMMING PROLOG. FORSYTH R, 1984, EXPERT SYSTEMS. HISDAL E, 1985, APPROXIMATE REASONIN, P33. KANDEL A, 1980, FUZZY SET SYST, V4, P117, DOI 10.1016/0165-0114(80)90032-9. KANDEL A, 1974, IEEE T SYST MAN CYB, VSMC4, P135, DOI 10.1109/TSMC.1974.5408540. Kandel A., 1986, FUZZY MATH TECHNIQUE. 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ZADEH LA, 1981, EMPIRICAL SEMANTICS, V1.}, Number-of-Cited-References = {17}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {GT917}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1991GT91700003}, DA = {2026-04-14}, } @article{ WOS:000761952500005, Author = {Tirkolaee, Erfan Babaee and Aydin, Nadi Serhan}, Title = {Integrated design of sustainable supply chain and transportation network using a fuzzy bi-level decision support system for perishable products}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2022}, Volume = {195}, Month = {JUN 1}, Abstract = {This study introduces a fuzzy bi-level Decision Support System (DSS) to optimize a sustainable multi-level multi-product Supply Chain (SC) and co-modal transportation network for perishable products distribution. To this end, two integrated multi-objective Mixed Integer Linear Programming (MILP) models are proposed to formulate the problem. On-time delivery is taken into account as the main factor that determines model performance due to perishability of products. Optimizing the design of SC network using the first level of the proposed DSS, the transportation network configuration is provided optimally in the second level considering different modes and options. In order to contribute to the literature, mainly by addressing uncertainty and perishability, a hybrid solution technique based on possibilistic linear programming and Fuzzy Weighted Goal Programming (FWGP) approach is developed to accommodate our suggested bi-level model. This technique can deal with problem uncertainty while also ensuring the sustainability of the overall system. Lp-metric method is implemented along with three well-known quality indicators to assess the performance of the proposed solution method and quality of obtained solutions. Finally, three illustrative numerical examples are provided using the CPLEX solver to showcase the applicability of the proposed methodology and discuss the complexity of the model. Results demonstrate the efficiency of the proposed methodology in finding optimal solutions compared to Lp-metric method, such that it is able to treat a problem with more than 2.2 million variables and 1.3 million constraints in 1093.08 s.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tirkolaee, EB (Corresponding Author), Istinye Univ, Dept Ind Engn, Istanbul, Turkey. Tirkolaee, Erfan Babaee; Aydin, Nadi Serhan, Istinye Univ, Dept Ind Engn, Istanbul, Turkey.}, DOI = {10.1016/j.eswa.2022.116628}, EarlyAccessDate = {FEB 2022}, Article-Number = {116628}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Sustainable supply chain; Transportation network; Fuzzy Weighted Goal Programming; Bi-level Decision Support System; Quality indicators}, Keywords-Plus = {OPTIMIZATION; MODEL}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {erfan.babaee@istinye.edu.tr serhan.aydin@istinye.edu.tr}, Affiliations = {Istinye University}, ResearcherID-Numbers = {Aydın, Nadi Serhan/X-8938-2018 Babaee Tirkolaee, Erfan/U-3676-2017}, ORCID-Numbers = {Aydın, Nadi Serhan/0000-0002-1453-0016 Babaee Tirkolaee, Erfan/0000-0003-1664-9210}, Cited-References = {Abbasi S, 2021, COMPUT IND ENG, V152, DOI 10.1016/j.cie.2020.107019. 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Tirkolaee EB, 2020, WASTE MANAGE, V102, P340, DOI 10.1016/j.wasman.2019.10.038. Tsai WH, 2009, INT J PROD RES, V47, P4991, DOI 10.1080/00207540801932498. Zhao R, 2012, J LOSS PREVENT PROC, V25, P927, DOI 10.1016/j.jlp.2012.05.004. Zhu ZG, 2018, INT J PROD RES, V56, P5700, DOI 10.1080/00207543.2018.1425014. Zitzler E, 2003, IEEE T EVOLUT COMPUT, V7, P117, DOI 10.1109/TEVC.2003.810758.}, Number-of-Cited-References = {45}, Times-Cited = {85}, Usage-Count-Last-180-days = {4}, Usage-Count-Since-2013 = {90}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {ZI9ST}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000761952500005}, DA = {2026-04-14}, } @article{ WOS:000376866900002, Author = {Sirbiladze, Gia}, Title = {New Fuzzy Aggregation Operators Based on the Finite Choquet Integral: Application in the MADM Problem}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2016}, Volume = {15}, Number = {3}, Pages = {517-551}, Month = {MAY}, Abstract = {In this paper, new generalizations of the probabilistic averaging operator - Associated Fuzzy Probabilistic Averaging (As-PA and As-FPA) and Immediate Probabilistic Fuzzy Ordered Weighted Averaging (As-IP-OWA and As-IP-FOWA) operators are presented in the environment of fuzzy uncertainty. An uncertainty is presented by associated probabilities of a fuzzy measure. Expert's evaluations as arguments of the aggregation operators are described by a variable, values of which are compatibility levels on the states of nature defined in positive real or triangular fuzzy numbers (TFNs). Two propositions on the As-FPA operator are proved: (1) The As-FPA operator for the fuzzy measure - capacity of order two coincides with the finite Choquet Averaging (CA) Operator; (2) the As-FPA operator coincides with the FPA operator when a probability measure is used in the role of a fuzzy measure. Analogous propositions for the As-IP-FOWA operator are proved. Some propositions on the connection of the As-FPA and As-IP-FOWA operators are also proved. Information measures - Orness and Divergence for the constructed operators are defined. Some propositions on the connections of these parameters with the corresponding parameters of the finite CA Operator are proved. Two illustrative examples on the applicability of the As-FPA and As-IP-FOWA operators are presented: (1) Several variants of the As-FPA and As-IP-FOWA operators are used for comparison of decision-making results for the problems regarding the fiscal policy of a country; (2) The As-FPA operator is used in the Multi-attribute decision-making (MADM) problem of choosing the best version of the students' project.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Sirbiladze, G (Corresponding Author), IV Javakhishvili Tbilisi State Univ, Dept Comp Sci, 13 Univ St, GE-0186 Tbilisi, Georgia. Sirbiladze, Gia, IV Javakhishvili Tbilisi State Univ, Dept Comp Sci, 13 Univ St, GE-0186 Tbilisi, Georgia.}, DOI = {10.1142/S0219622016500127}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Averaging aggregation operators; fuzzy measure; possibility measure; associated probabilities of a fuzzy measure; immediate probability; body of evidence; fuzzy decision making}, Keywords-Plus = {GROUP DECISION-MAKING; ALGORITHMS; CRITERIA; MODEL; RISK}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {gia.sirbiladze@tsu.qe}, Affiliations = {Ivane Javakhishvili Tbilisi State University}, Funding-Acknowledgement = {Shota Rustaveli National Science Foundation (Georgia) {[}AR/26/5-111/14]}, Funding-Text = {The author gratefully acknowledges the comments and suggestions from the Managing Editor and anonymous referees. 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YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068.}, Number-of-Cited-References = {56}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {15}, Journal-ISO = {Int. J. Inf. Technol. Decis. Mak.}, Doc-Delivery-Number = {DN2AQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000376866900002}, DA = {2026-04-14}, } @article{ WOS:000828215600002, Author = {Yazdani, Maziar and Mojtahedi, Mohammad and Loosemore, Martin and Sanderson, David and Dixit, Vinayak}, Title = {An integrated decision model for managing hospital evacuation in response to an extreme flood event: A case study of the Hawkesbury-Nepean River, NSW, Australia}, Journal = {SAFETY SCIENCE}, Year = {2022}, Volume = {155}, Month = {NOV}, Abstract = {The frequency and severity of floods is increasing in many countries, and hospitals play an essential role in protecting the community from their potentially devastating impacts. However, many hospitals are vulnerable to flooding having been designed and located without these risks in mind. In such situations, evacuation of vulnerable patients to safer alternative healthcare facilities might be the most reasonable response. However, there has been little research into hospital evacuation, and to address this research gap, this paper presents an innovative hospital evacuation model that can facilitate the optimal scheduling and sequencing of hospital evacuation under indeterministic flooding conditions. The proposed model combines a flood simulator and a mathematical model. Assuming the high levels of complexity of a realistic hospital evacuation system, a Benders -Decomposition approach is developed to cope with large size problems. A case study in New South Wales (NSW), Australia, is used to illustrate the proposed model, and results confirm that the model can generate effective plans to evacuate hospitals in the shortest time possible in flood emergency conditions. The findings of this study contribute new theoretical and practical insights to a growing body of knowledge about disaster response strategies in hospitals and have implications for health service management and health policymakers in countries where health infrastructures are vulnerable to increasing climate change risks.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yazdani, M (Corresponding Author), UNSW Sydney, Sch Civil \& Environm Engn, Sydney, NSW 2052, Australia. Yazdani, Maziar; Dixit, Vinayak, UNSW Sydney, Sch Civil \& Environm Engn, Sydney, NSW 2052, Australia. Mojtahedi, Mohammad; Sanderson, David, Univ New South Wales, Sch Built Environm, Sydney, NSW 2052, Australia. Loosemore, Martin, Univ Technol Sydney, Sch Built Environm, Sydney, NSW 2007, Australia.}, DOI = {10.1016/j.ssci.2022.105867}, EarlyAccessDate = {JUL 2022}, Article-Number = {105867}, ISSN = {0925-7535}, EISSN = {1879-1042}, Keywords = {Disasters; Evacuation; Transportation; Hospital; Flood; Australia}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; MANAGEMENT}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {Maziar.yazdani@unsw.edu.au M.mojtahedi@unsw.edu.au Martin.loosemore@uts.edu.au David.sanderson@unsw.ude.au V.dixit@unsw.edu.au}, Affiliations = {University of New South Wales Sydney; University of New South Wales Sydney; University of Technology Sydney}, ResearcherID-Numbers = {Sanderson, David/AAL-6224-2020 Mojtahedi, Mohammad M./ABE-7874-2021 Yazdani, Maziar/L-7434-2019}, ORCID-Numbers = {Loosemore, Martin/0000-0002-3189-4655 Sanderson, David/0000-0003-0398-4343 Dixit, Vinayak/0000-0001-7643-409X }, Cited-References = {Aghapour AH, 2019, J BUILD ENG, V26, DOI 10.1016/j.jobe.2019.100853. {[}Anonymous], 2009, CLIMATE CHANGE RISKS. {[}Anonymous], 2018, {[}No title captured], P44. {[}Anonymous], 2004, RED DIS RISK CHALL D. 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Yazdani M, 2022, PROG DISASTER SCI, V13, DOI 10.1016/j.pdisas.2022.100218. Yazdani M, 2021, INT J DISAST RISK RE, V66, DOI 10.1016/j.ijdrr.2021.102627. Yazdani M, 2021, J CLEAN PROD, V280, DOI 10.1016/j.jclepro.2020.124138.}, Number-of-Cited-References = {56}, Times-Cited = {29}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {39}, Journal-ISO = {Saf. Sci.}, Doc-Delivery-Number = {3B8WF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000828215600002}, DA = {2026-04-14}, } @article{ WOS:000590269600001, Author = {Dzuche, Justin and Tassak, Christian Deffo and Sadefo Kamdem, Jules and Fono, Louis Aime}, Title = {On two dominances of fuzzy variables based on a parametrized fuzzy measure and application to portfolio selection with fuzzy return}, Journal = {ANNALS OF OPERATIONS RESEARCH}, Year = {2021}, Volume = {300}, Number = {2, SI}, Pages = {355-368}, Month = {MAY}, Abstract = {Yang and Iwamura (Appl Math Sci 46:2271-2288, 2008) introduced a new fuzzy measure as a convex linear combination of possibility and necessity measures. This measure generalizes the credibility measure and the real parameter associated to the possibility measure is considered as the decision making's optimism level. In this paper, we introduce by means of that measure, two new dominances as binary relations on fuzzy variables. The first one generalizes the first order dominance based on credibility measure and introduced recently by Tassak et al. (J Oper Res Soc 68:1491-1502, 2017) and the second one, based on the investor's optimism level, is more stronger than the other. Moreover, we study some properties of those dominances and characterize them on the particular family of trapezoidal fuzzy numbers. We implement the second dominance in a numerical example to illustrate the impact of the investor's attitude through the set of best portfolios.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kamdem, JS (Corresponding Author), Univ Montpellier, MRE EA 7491, Montpellier, France. Dzuche, Justin, Univ Yaounde I, Lab Math, Yaounde, Cameroon. Dzuche, Justin, Univ Yaounde I, Fac Sci, Yaounde, Cameroon. Tassak, Christian Deffo, Univ Yaounde I, CRFD STG, UFDR MIBA, Lab Math \& Applicat Fondamentales, BP 812, Yaounde, Cameroon. Fono, Louis Aime, Univ Douala, BP 24157, Douala, Cameroon. Sadefo Kamdem, Jules, Univ Montpellier, MRE EA 7491, Montpellier, France.}, DOI = {10.1007/s10479-020-03873-5}, EarlyAccessDate = {NOV 2020}, ISSN = {0254-5330}, EISSN = {1572-9338}, Keywords = {Fuzzy measure; Fuzzy variable; Generalized first order dominance; Optimism dominance; Set of best portfolios}, Keywords-Plus = {RANKING; MODELS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {jules.sadefo-kamdem@umontpellier.fr}, Affiliations = {University of Yaounde I; University of Yaounde I; University of Yaounde I; Universite de Montpellier}, Cited-References = {ANDERSON RM, 1978, ECONOMETRICA, V46, P1483, DOI 10.2307/1913840. Asady B, 2007, APPL MATH MODEL, V31, P2589, DOI 10.1016/j.apm.2006.10.018. 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Res.}, Doc-Delivery-Number = {RN8AX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000590269600001}, DA = {2026-04-14}, } @article{ WOS:000273705100024, Author = {Zhang, Wei-Guo and Xiao, Wei-Lin and Xu, Wei-Jun}, Title = {A possibilistic portfolio adjusting model with new added assets}, Journal = {ECONOMIC MODELLING}, Year = {2010}, Volume = {27}, Number = {1}, Pages = {208-213}, Month = {JAN}, Abstract = {In order to fit changes in financial markets, portfolio managers often need to revise ail existing portfolio. This article analyzes the portfolio adjusting problem with new added assets. We propose a possibilistic portfolio adjusting model with transaction costs and bounded constraints on holdings of assets, which can be transformed into a linear programming problem. Both the lower bounds on holdings and the total investment constraints influence the optimal portfolio adjusting strategies. Furthermore, a numerical example of a portfolio adjusting problem is given to illustrate our proposed effective approaches. The numerical results show the case that investors do not need to invest total capital and to hold all assets in the portfolio for some required return levels. (c) 2009 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zhang, WG (Corresponding Author), S China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China. Zhang, Wei-Guo; Xiao, Wei-Lin; Xu, Wei-Jun, S China Univ Technol, Sch Business Adm, Guangzhou 510641, Peoples R China.}, DOI = {10.1016/j.econmod.2009.08.008}, ISSN = {0264-9993}, Keywords = {Portfolio adjusting analysis; Possibilistic return; Possibilistic risk; Transaction cost; Bounded constraints on holdings}, Keywords-Plus = {TRANSACTION COSTS; SELECTION PROBLEM; OPTIMIZATION; ALGORITHM; VARIANCE; RETURNS; UTILITY}, Research-Areas = {Business \& Economics}, Web-of-Science-Categories = {Economics}, Author-Email = {wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, Cited-References = {Ammar E, 2003, CHAOS SOLITON FRACT, V18, P1045, DOI 10.1016/S0960-0779(03)00071-7. Arnott R., 1990, FINANCIAL ANAL J, V46, P73, DOI {[}DOI 10.2469/faj.v46.n6.73, 10.2469/faj.v46.n6.73, DOI 10.2469/FAJ.V46.N6.73]. Best MJ, 2007, J OPTIMIZ THEORY APP, V135, P563, DOI 10.1007/s10957-007-9252-7. Bilbao-Terol A, 2006, APPL MATH COMPUT, V173, P251, DOI 10.1016/j.amc.2005.04.003. 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Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhang WG, 2004, APPL MATH COMPUT, V159, P357, DOI 10.1016/j.amc.2003.10.019.}, Number-of-Cited-References = {32}, Times-Cited = {19}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {13}, Journal-ISO = {Econ. Model.}, Doc-Delivery-Number = {545AV}, Web-of-Science-Index = {Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000273705100024}, DA = {2026-04-14}, } @article{ WOS:000506016100001, Author = {Zhou, Zhongbao and Chen, Enming and Xiao, Helu and Ren, Tiantian and Jin, Qianying}, Title = {Performance evaluation of portfolios with fuzzy returns}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2019}, Volume = {53}, Number = {5}, Pages = {1581-1600}, Month = {OCT 8}, Abstract = {The existing literature on DEA (Data Envelopment Analysis) for evaluating fuzzy portfolios usually takes risk as an input and return as an output. This assumption is actually not congruent with the real investment process, where the input is the initial wealth and the output is the corresponding terminal wealth. As for the risk and return, which are essentially two indicators derived from the terminal wealth, both should be regarded as outputs. In addition, few studies have employed the diversification model (nonlinear DEA) to estimate the fuzzy portfolio efficiency (PE), despite the fact that there are many studies available within the framework of classical probability theory. Further, the relationship between DEA and diversification models needs to be defined. In this paper, we take the initial wealth as an input, while the return and risk of terminal wealth are taken as desirable and undesirable outputs, respectively. We construct different evaluation models under the fuzzy portfolio framework. The relationships among the evaluation model based on a real frontier, the diversification model and the DEA model are investigated. We show the convergence of the diversification and DEA models under the fuzzy theory framework. Some simulations as well as empirical analysis are presented to further verify the effectiveness of the proposed models. Finally, we check the robustness of the evaluation results by using the bootstrap re-sampling approach.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Xiao, HL (Corresponding Author), Hunan Normal Univ, Sch Business, Changsha 410081, Hunan, Peoples R China. Zhou, Zhongbao; Chen, Enming; Ren, Tiantian; Jin, Qianying, Hunan Univ, Sch Business Adm, Changsha 410082, Hunan, Peoples R China. Xiao, Helu, Hunan Normal Univ, Sch Business, Changsha 410081, Hunan, Peoples R China.}, DOI = {10.1051/ro/2019071}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Fuzzy portfolio evaluation; possibilistic measures; diversification model; DEA; bootstrap re-sampling}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; MEAN-ENTROPY MODELS; MUTUAL FUNDS; SELECTION; OPTIMIZATION; INVESTMENT; EFFICIENCY; DEA; APPRAISALS; MOMENTS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {xiaohelu1986@163.com}, Affiliations = {Hunan University; Hunan Normal University}, ResearcherID-Numbers = {REN, Tiantian/ABI-2508-2020 Jin, Qianying/AER-2013-2022}, ORCID-Numbers = {Jin, Qianying/0000-0002-8186-0656}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71771082, 71801091]; Hunan Provincial Natural Science Foundation of China {[}2017JJ1012]}, Funding-Text = {This research is supported by the National Natural Science Foundation of China (Nos. 71771082, 71801091) and Hunan Provincial Natural Science Foundation of China (No. 2017JJ1012).}, Cited-References = {Basso A, 2001, EUR J OPER RES, V135, P477, DOI 10.1016/S0377-2217(00)00311-8. 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Res.}, Doc-Delivery-Number = {KA7YS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000506016100001}, DA = {2026-04-14}, } @article{ WOS:000356140000005, Author = {Inuiguchi, Masahiro and Lodwick, Weldon A.}, Title = {Foundational contributions of K. Asai and H. Tanaka to fuzzy optimization}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2015}, Volume = {274}, Pages = {24-46}, Month = {SEP 1}, Abstract = {The first researchers to publish an operationalization of the Bellman and Zadeh's original approach to ``Decision making in a fuzzy environment{''} {[}1] were H. Tanaka and K. Asai in their 1973 article 121 which was published in English in 1974 131. These two researchers developed many fundamental theories and methods including novel concepts of fuzzy operations research 141 with their collaborators. They went beyond the original proposal for fuzzy optimization set forth by Bellman/Zadeh. They are important founders of fuzzy optimization. This paper gives an overview of their great contributions to fuzzy optimization. (C) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Inuiguchi, M (Corresponding Author), Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan. Inuiguchi, Masahiro, Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan. Lodwick, Weldon A., Univ Colorado, Denver, CO 80202 USA.}, DOI = {10.1016/j.fss.2014.10.005}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy linear programming; Decision making; Possibility theory; Fuzzy number}, Keywords-Plus = {LINEAR-PROGRAMMING PROBLEMS; EXPONENTIAL POSSIBILITY DISTRIBUTIONS; OBJECTIVE FUNCTION; OPTIMIZING CONTROL; SYSTEMS; AUTOMATA; NUMBERS; MODEL}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {inuiguti@sys.es.osaka-u.ac.jp Weldon.Lodwick@ucdenver.edu}, Affiliations = {University of Osaka; University of Colorado System; University of Colorado Denver}, Cited-References = {{[}Anonymous], MANAGEMENT DECISION. {[}Anonymous], FUZZY SETS THEIR APP. ASAI K, 1971, INFORM SCIENCES, V3, P343, DOI 10.1016/S0020-0255(71)80014-2. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {65}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {CK3TZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000356140000005}, DA = {2026-04-14}, } @article{ WOS:000367698900007, Author = {Fallah, Hamed and Eskandari, Hamidreza and Pishvaee, Mir Saman}, Title = {Competitive closed-loop supply chain network design under uncertainty}, Journal = {JOURNAL OF MANUFACTURING SYSTEMS}, Year = {2015}, Volume = {37}, Number = {3, SI}, Pages = {649-661}, Month = {OCT}, Abstract = {This paper studies the competition between two closed-loop supply chains including manufacturers, retailers and recyclers in an uncertain environment. The competition factors are the retail prices of new products and incentives paid to consumers for taking back the used products. Market demands are price sensitive and also the amount of returned products is sensitive to incentives. The primary goal of this paper is to investigate the impact of simultaneous and Stackelberg competitions between two closed-loop supply chains on their profits, demands and returns. A game theoretic approach which is empowered by possibility theory is applied to obtain the optimal solutions under uncertain condition. Finally the theoretical results are analyzed using sample data inspired by a real industrial case. (C) 2015 The Society of Manufacturing Engineers. Published by Elsevier Ltd. All rights reserved.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Eskandari, H (Corresponding Author), Tarbiat Modares Univ, Dept Ind Engn, Tehran, Iran. Fallah, Hamed; Eskandari, Hamidreza, Tarbiat Modares Univ, Dept Ind Engn, Tehran, Iran. Pishvaee, Mir Saman, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1016/j.jmsy.2015.01.005}, ISSN = {0278-6125}, EISSN = {1878-6642}, Keywords = {Closed-loop supply chain; Network design; Competition; Game theory; Possibility theory}, Keywords-Plus = {MODEL; COORDINATION; EQUILIBRIUM; COLLECTION; LOCATION; SYSTEM; MARKET; PRICE}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {eskandari@modares.ac.ir}, Affiliations = {Tarbiat Modares University; Iran University Science \& Technology}, ResearcherID-Numbers = {Pishvaee, Mir Saman/H-3450-2018 }, ORCID-Numbers = {Pishvaee, Mir Saman/0000-0001-6389-6308 Eskandari, Hamieza/0000-0002-5515-9399}, Cited-References = {Aboolian R, 2007, EUR J OPER RES, V182, P40, DOI 10.1016/j.ejor.2006.07.021. 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Zhang LX, 2008, COMPUT OPER RES, V35, P327, DOI 10.1016/j.cor.2006.03.002. Zhao J, 2012, INT J PROD ECON, V135, P144, DOI 10.1016/j.ijpe.2010.12.024. Zhou GG, 2012, MATH PROBL ENG, V2012, DOI 10.1155/2012/524809.}, Number-of-Cited-References = {53}, Times-Cited = {89}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {103}, Journal-ISO = {J. Manuf. Syst.}, Doc-Delivery-Number = {DA3LL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000367698900007}, DA = {2026-04-14}, } @article{ WOS:000290034100002, Author = {Silva, Ricardo C. and Yamakami, Akebo}, Title = {The use of possibility theory in the definition of fuzzy Pareto-optimality}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2011}, Volume = {10}, Number = {1}, Pages = {11-30}, Month = {MAR}, Abstract = {Pareto-optimality conditions are crucial when dealing with classic multi-objective optimization problems. Extensions of these conditions to the fuzzy domain have been discussed and addressed in recent literature. This work presents a novel approach based on the definition of a fuzzily ordered set with a view to generating the necessary conditions for the Pareto-optimality of candidate solutions in the fuzzy domain. Making use of the conditions generated, one can characterize fuzzy efficient solutions by means of carefully chosen mono-objective problems and Karush-Kuhn-Tucker conditions to fuzzy non-dominated solutions. The uncertainties are inserted into the formulation of the studied fuzzy multi-objective optimization problem by means of fuzzy coefficients in the objective function. Some numerical examples are analytically solved to illustrate the efficiency of the proposed approach.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Silva, RC (Corresponding Author), Univ Estadual Campinas, Dept Telemat, Sch Elect \& Comp Engn, CP 6101, BR-13083970 Campinas, SP, Brazil. Silva, Ricardo C.; Yamakami, Akebo, Univ Estadual Campinas, Dept Telemat, Sch Elect \& Comp Engn, BR-13083970 Campinas, SP, Brazil.}, DOI = {10.1007/s10700-010-9092-z}, ISSN = {1568-4539}, Keywords = {Fuzzy logic; Possibility theory; Multi-objective optimization; Fuzzy Pareto-optimality conditions; Fuzzy optimization}, Keywords-Plus = {OPTIMIZATION; RANKING; NUMBERS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {rcoelhos@dt.fee.unicamp.br akebo@dt.fee.unicamp.br}, Affiliations = {Universidade Estadual de Campinas}, ResearcherID-Numbers = {Coêlho, Ricardo/C-2405-2009 }, ORCID-Numbers = {Yamakami, Akebo/0000-0003-3537-4638}, Cited-References = {Ammar EE, 2008, INFORM SCIENCES, V178, P468, DOI 10.1016/j.ins.2007.03.029. CAMPOS L, 1989, FUZZY SET SYST, V32, P1, DOI 10.1016/0165-0114(89)90084-5. 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Zadeh LA, 2008, INFORM SCIENCES, V178, P2751, DOI 10.1016/j.ins.2008.02.012. Zimmermann H.J., 2001, Fuzzy Set Theory-and Its Applications.}, Number-of-Cited-References = {22}, Times-Cited = {7}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {11}, Journal-ISO = {Fuzzy Optim. Decis. Mak.}, Doc-Delivery-Number = {756SD}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000290034100002}, DA = {2026-04-14}, } @article{ WOS:000983354800005, Author = {De, Sujit Kumar and Mahata, Gour Chandra}, Title = {Decision making in fuzzy reasoning to solve a backorder economic order quantity model}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2023}, Volume = {57}, Number = {2}, Pages = {993-1007}, Month = {MAY 8}, Abstract = {Fuzzy reasoning is the subject of fuzzy system where the fuzzy set is characterized by the randomization of the variable associated in the fuzzy set itself. It is the first-time application of fuzzy reasoning over the backorder economic order quantity (EOQ) inventory management problem. We first define the fuzzy reasoning membership function through the use of L-fuzzy number and possibility theory on fuzzy numbers. Considering the holding cost, set up cost, backordering cost and demand rate as reasoning based fuzzy number, we have constructed a dual fuzzy mathematical problem. Then this problem has been solved over the dual feasible space which is associated to the aspiration level and the fuzzy approximation constant. Numerical study reveals the superiority of the proposed method with respect to the crisp solution as well as general fuzzy solution. Sensitivity analysis and graphical illustrations have also been done to justify the novelty of this article.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {De, SK (Corresponding Author), Midnapore Coll Autonomous, Dept Math, Midnapore 721101, W Bengal, India. De, Sujit Kumar, Midnapore Coll Autonomous, Dept Math, Midnapore 721101, W Bengal, India. Mahata, Gour Chandra, Sidho Kanho Birsha Univ, Dept Math, Purulia 723104, W Bengal, India.}, DOI = {10.1051/ro/2023051}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Backorder model; fuzzy system; duality; fuzzy reasoning; optimization}, Keywords-Plus = {MATHEMATICAL-PROGRAMMING PROBLEMS; DUALITY THEOREMS; OPTIMIZATION; NUMBERS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {skdemamo2008.com@gmail.com}, Affiliations = {Midnapore College}, ResearcherID-Numbers = {Mahata, Gour Chandra/HKW-7788-2023 De, Sujit Kumar/AAF-6559-2019}, ORCID-Numbers = {Mahata, Gour Chandra/0000-0003-0536-069X De, Sujit Kumar/0000-0003-4889-8043}, Cited-References = {BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. CARLSSON C, 1987, CYBERNET SYST, V18, P35, DOI 10.1080/01969728708902126. De SK, 2021, APPL SOFT COMPUT, V99, DOI 10.1016/j.asoc.2020.106892. 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Zou TT, 2015, MATH PROBL ENG, V2015, DOI 10.1155/2015/826752.}, Number-of-Cited-References = {28}, Times-Cited = {0}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {F6IH3}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000983354800005}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000997760900001, Author = {Nasiri, Mohammad Mahdi and Khaleghi, Amir and Govindan, Kannan and Bozorgi-Amiri, Ali}, Title = {Sustainable hierarchical multi-modal hub network design problem: bi-objective formulations and solution algorithms}, Journal = {OPERATIONAL RESEARCH}, Year = {2023}, Volume = {23}, Number = {2}, Month = {JUN}, Abstract = {This paper presents a bi-objective model for the design and optimization of a sustainable hierarchical multi-modal hub network. The proposed model focuses on sustainability by considering economic, environmental, and social aspects of the decisions in a hierarchical network. A case of Turkish network for freight transportation is used to validate the proposed model. To solve the small-sized problems, the augmented epsilon constraint method version 2 (AUGMECON2) is applied. It can be inferred from the Pareto-optimal set obtained by AUGMECON2 that the effect of increasing the number of hubs after a threshold is marginal. The current contribution proposes two multi-objective genetic algorithms (NSGA-II and NRGA), which incorporate LP solving and Dijkstra algorithm. The results show the superiority of NRGA compared to NSGA-II in terms of solution time. Also, we present an alternative, more efficient formulation to the problem. Based on the alternative formulation, in addition to AUGMECON2, we use two exact methods, including Torabi and Hassini (TH) method and augmented weighted Tchebycheff procedure (AWTP), to find Pareto-optimal solutions for small, medium, and large-sized problems (including the case study). The performance of the proposed solution methods is measured using some multi-objective indicators. The results show the superiority of AUGMECON2.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Govindan, K (Corresponding Author), Shanghai Maritime Univ, China Inst FTZ Supply Chain, Shanghai 201306, Peoples R China. Govindan, K (Corresponding Author), Univ Southern Denmark, Danish Inst Adv Study, Ctr Sustainable Supply Chain Engn, Dept Technol \& Innovat, Campusvej 55, DK-5230 Odense, Denmark. Govindan, K (Corresponding Author), Yonsei Univ, Yonsei Frontier Lab, Seoul, South Korea. Govindan, K (Corresponding Author), Woxsen Univ, Sch Business, Sadasivpet, Telangana, India. Nasiri, Mohammad Mahdi; Khaleghi, Amir; Bozorgi-Amiri, Ali, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Govindan, Kannan, Shanghai Maritime Univ, China Inst FTZ Supply Chain, Shanghai 201306, Peoples R China. Govindan, Kannan, Univ Southern Denmark, Danish Inst Adv Study, Ctr Sustainable Supply Chain Engn, Dept Technol \& Innovat, Campusvej 55, DK-5230 Odense, Denmark. Govindan, Kannan, Yonsei Univ, Yonsei Frontier Lab, Seoul, South Korea. Govindan, Kannan, Woxsen Univ, Sch Business, Sadasivpet, Telangana, India.}, DOI = {10.1007/s12351-023-00767-9}, Article-Number = {35}, ISSN = {1109-2858}, EISSN = {1866-1505}, Keywords = {Hierarchical hub location; Sustainability; Multi-objective optimization; NSGA-II; NRGA}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; EPSILON-CONSTRAINT METHOD; LOCATION PROBLEM; AIR TRANSPORTATION; MEDIAN PROBLEM; SINGLE; MODEL; SYSTEMS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {kgov@iti.sdu.dk}, Affiliations = {University of Tehran; Shanghai Maritime University; University of Southern Denmark; Yonsei University; Woxsen University}, ResearcherID-Numbers = {govindan, kannan/M-5996-2017 Nasiri, Mohammad/D-5540-2018 Bozorgi-Amiri, Ali/D-9899-2015}, ORCID-Numbers = {govindan, kannan/0000-0002-6204-1196 }, Cited-References = {Alumur SA, 2012, TRANSPORT RES E-LOG, V48, P1107, DOI 10.1016/j.tre.2012.04.001. 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Zarbakhshnia N, 2023, BUS STRATEG ENVIRON, V32, P134, DOI 10.1002/bse.3122. Zhalechian M, 2017, ENG APPL ARTIF INTEL, V62, P1, DOI 10.1016/j.engappai.2017.03.006. Zhalechian M, 2017, APPL SOFT COMPUT, V52, P699, DOI 10.1016/j.asoc.2016.10.002. Zhong W, 2018, INT J DISTRIB SENS N, V14, DOI 10.1177/1550147718773263.}, Number-of-Cited-References = {71}, Times-Cited = {5}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {25}, Journal-ISO = {Oper. Res.}, Doc-Delivery-Number = {H7MM8}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000997760900001}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000389228700009, Author = {Sirbiladze, Gia and Khutsishvili, Irina and Badagadze, Otar and Kapanadze, Mikheil}, Title = {More Precise Decision-Making Methodology in the Temporalized Body of Evidence. Application in the Information Technology Management}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2016}, Volume = {15}, Number = {6}, Pages = {1469-1502}, Month = {NOV}, Abstract = {In this paper, we perform the analysis of temporalized structure of a body of evidence and possibilistic Extremal Fuzzy Dynamic System (EFDS) for the construction of more precise decisions based on the expert knowledge stream. The process of decision precision consists of two stages. In the first stage the relation of information precision is defined on a monotone sequence of bodies of evidence. The principle of negative imprecision is developed, as the maximum principle of knowledge ignorance measure of a body of evidence. Corresponding mathematical programming problem is constructed. On the output of the first stage we receive the expert knowledge precision stream of the criteria with respect to any decision. In the second stage the constructed stream is an input trajectory for the finite possibilistic model of EFDS. A genetic algorithm approach is developed for identifying of the EFDS finite model. The modelling process gives us the more precise decisions as a prediction of a temporalization procedure. The constructed technology is applied in the non-probabilistic utility theory for the information technology management problem.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Khutsishvili, I (Corresponding Author), Iv Javakhishvili Tbilisi State Univ, Dept Comp Sci, Univ St 13, Tbilisi 0186, Georgia. Sirbiladze, Gia; Khutsishvili, Irina; Badagadze, Otar; Kapanadze, Mikheil, Iv Javakhishvili Tbilisi State Univ, Dept Comp Sci, Univ St 13, Tbilisi 0186, Georgia.}, DOI = {10.1142/S0219622016500371}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Theory of a body of evidence; fuzzy multi-attribute decision-making; aggregation operators; identification of a fuzzy dynamic system; fuzzy prediction; utility theory}, Keywords-Plus = {FUZZY DYNAMIC-SYSTEMS; IDENTIFICATION PROBLEM; AGGREGATION OPERATORS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {gia.sirbiladze@tsu.ge irina.khutsishvili@tsu.ge otba@myself.com mikheil@gmail.com}, Affiliations = {Ivane Javakhishvili Tbilisi State University}, Funding-Acknowledgement = {Shota Rustaveli National Scientific Fund (SRNSF) (Georgia) {[}AR/26/5-111/14]}, Funding-Text = {The authors would like to express gratitude to the Editorial Board and all anonymous referees for their valuable remarks and suggestions that improved the presentation of this work. 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M. and Makui, A.}, Title = {A bi-phase robust possibilistic model for hub location-routing problem in cold chain logistics of perishable products}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2025}, Volume = {22}, Number = {4}, Pages = {117-136}, Month = {JUL-AUG}, Abstract = {In today's competitive markets, determining the optimum distribution centers, delivery routes, and inventory levels is crucial for cold chain logistics of perishable products to reduce costs as well as backorder rate. Meanwhile, a new bi-phase mixed integer non-linear programming model-based robust possibilistic approach is developed by goals of minimizing total costs and reducing the backorder rate for key customers to solve the hub location-routing model for a cold chain of perishable products. To address the issue, the augmented epsilon-constraint method is considered to construct a single objective model, and the obtained Pareto optimal points are analyzed. Additionally, the robust possibilistic approach is executed to cope with imprecise demand in the presented bi-phase hub location-routing model. To represent the verification and applicability of the proposed approach, a case study on cold chain logistics of perishable products is regarded. Finally, a comparative analysis is considered to compare the obtained results from the proposed approach with real case information. This validation process is defined by schematically reporting the trend comparison results over the entire planning horizon. Moreover, the obtained results represents that the proposed approach can enhance the objective function by reducing the 22\% of total costs, improved the backorder level by 24\%, the number of deteriorating items decreased by 16.48\%,and the inventory levels enhanced by 12.86\% regarding the current practice.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Gitinavard, H (Corresponding Author), Shahid Beheshti Univ, Fac Mech \& Energy Engn, Tehran, Iran. Gitinavard, H., Shahid Beheshti Univ, Fac Mech \& Energy Engn, Tehran, Iran. Solgi, E., Amirkabir Univ Technol, Dept Ind Engn \& Management Syst, Tehran, Iran. Mousavi, S. M., Shahed Univ, Dept Ind Engn, Tehran, Iran. Makui, A., Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.22111/ijfs.2025.50398.8895}, ISSN = {1735-0654}, EISSN = {2676-4334}, Keywords = {Hub location-routing problem; robust possibilistic programming model; mixed integer non-linear program-ming model; fuzzy sets theory; augmented epsilon-constraint method}, Keywords-Plus = {SUPPLY CHAIN; INVENTORY; UNCERTAINTY}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {gitinavard@sbu.ac.ir ehsansolgi@aut.ac.ir sm.mousavi@shahed.ac.ir amakui@iust.ac.ir}, Affiliations = {Shahid Beheshti University; Amirkabir University of Technology; Shahed University; Iran University Science \& Technology}, ResearcherID-Numbers = {makui, ahmad/S-6038-2018 Gitinavard, Hossein/AAZ-5611-2021}, Cited-References = {Alkaabneh F., 2020, European Journal of Operational Research, V283, P511, DOI {[}10.1016/j.ejor.2019.11.015, DOI 10.1016/J.EJOR.2019.11.015]. 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Syst.}, Doc-Delivery-Number = {7DH2U}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001568293900002}, DA = {2026-04-14}, } @article{ WOS:001558482100001, Author = {Paramanik, Arup Ratan and Mahanty, Biswajit}, Title = {A collaborative circular supply chain network design framework for implementing individual producer responsibility under uncertainty}, Journal = {TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW}, Year = {2025}, Volume = {203}, Month = {NOV}, Abstract = {This study proposes a collaborative circular supply chain (CCSC) network design framework for implementing individual producer responsibility (IPR) under uncertainty through cost-effective end-of-life recycling. Although IPR encourages the producers to adopt design-for-recyclability by retaining the extended responsibilities, the concern of economic viability remains a barrier to its implementation. The proposed framework reduces this concern by promoting collaboration among the producer, third-party recyclers, and dealers (take-back agents) with little intervention. To evaluate the economic viability of the CCSC network by maximizing the net present values of the stakeholders involved in the collaboration, a Z-number-based multi-period nonlinear mixed integer programming model is formulated, which addresses the essential extended producer responsibility (EPR) regulations. Unlike the prior studies, the proposed framework leverages the Z-numbers to represent uncertain parameters by capturing both the reliability degree of the uncertainty and the unknown hidden probability distributions. In this framework, a possibilistic programming-based approach is employed to solve the model, while a Simple Additive Weighting (SAW)-based Taguchi method is used to obtain insights regarding the optimal contract terms for more effective collaboration. This study demonstrates practical application of the framework in the tire industry, where a numerical study validates its usefulness. The results show that the CCSC network is likely to be economically viable by ensuring EPR compliance. The results also reveal that Z-numbers outperform the traditional fuzzy numbers and stochastic programming in handling uncertainty. This research contributes to the supply chain modeling under uncertainty and provides actionable insights for policymakers and practitioners seeking to implement IPR.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Paramanik, AR (Corresponding Author), Indian Inst Technol Kharagpur, Dept Ind \& Syst Engn, Kharagpur 721302, India. Paramanik, Arup Ratan; Mahanty, Biswajit, Indian Inst Technol Kharagpur, Dept Ind \& Syst Engn, Kharagpur 721302, India.}, DOI = {10.1016/j.tre.2025.104332}, EarlyAccessDate = {AUG 2025}, Article-Number = {104332}, ISSN = {1366-5545}, EISSN = {1878-5794}, Keywords = {Extended producer responsibility (EPR); Collaborative supply chain; End-of-life recycling; Uncertainty; Z-number-based optimization; Circular economy}, Keywords-Plus = {PROGRAMMING-MODEL; MANAGEMENT; DEMAND; SUSTAINABILITY; COORDINATION; INTEGRATION; RESILIENT; BLOOD; PRICE}, Research-Areas = {Business \& Economics; Engineering; Operations Research \& Management Science; Transportation}, Web-of-Science-Categories = {Economics; Engineering, Civil; Operations Research \& Management Science; Transportation; Transportation Science \& Technology}, Author-Email = {aeroparamanik@gmail.com bm@hijli.iitkgp.ac.in}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur}, ResearcherID-Numbers = {MAHANTY, BISWAJIT/AAH-5495-2020 Paramanik, Arup Ratan/JRY-0591-2023}, ORCID-Numbers = {MAHANTY, BISWAJIT/0000-0002-7858-9818 Paramanik, Arup Ratan/0000-0003-4546-918X}, Funding-Acknowledgement = {Ministry of Education, Government of India under the Prime Minister's Research Fellowship {[}PMRF ID 2402361]}, Funding-Text = {This work was supported by the Ministry of Education, Government of India under the Prime Minister's Research Fellowship (PMRF) scheme {[}PMRF ID 2402361] .}, Cited-References = {Ahmed J, 2023, APPL MATH MODEL, V115, P616, DOI 10.1016/j.apm.2022.10.028. 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Zheng XX, 2022, COMPUT IND ENG, V167, DOI 10.1016/j.cie.2022.108009.}, Number-of-Cited-References = {116}, Times-Cited = {2}, Usage-Count-Last-180-days = {14}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Transp. Res. Pt. e-Logist. Transp. Rev.}, Doc-Delivery-Number = {6OV8U}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001558482100001}, DA = {2026-04-14}, } @article{ WOS:001240358000001, Author = {Tayyab, Muhammad}, Title = {SUSTAINABLE PRODUCTION DELIVERY MECHANISM FOR THIRD-GENERATION BIODIESEL SUPPLY CHAIN MANAGEMENT UNDER TECHNOLOGY INVESTMENT AND MULTI-SHIPMENT POLICY}, Journal = {JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION}, Year = {2025}, Volume = {21}, Number = {1}, Pages = {167-201}, Month = {JAN}, Abstract = {The imperative to shift towards renewable energy sources has emerged due to the worldwide energy crisis and escalating temperatures. The emergence of third-generation biodiesel has attracted significant attention as a viable substitute for fossil fuels, owing to its notable environmental and economic benefits. However, the establishment of a sustainable production and delivery mechanism for biodiesel necessitates the implementation of an efficient supply chain management strategy. The objective of this study is to present a comprehensive decision support system for managing the multi-echelon supply chain of third-generation biodiesel. The bi-objective optimization approach incorporates both economic and environmental objectives to develop sustainable production and delivery policies. To improve environmental performance and lower production setup costs, it is proposed that businesses invest in technology and product advertisement. Robust possibilistic programming (RPP) is utilized to address the inclusion of epistemic uncertainty in the model parameters. Given the NP-Hard structure of the problem, a metaheuristic technique is employed in order to address the problem at hand. Model analysis involves subjecting numerical findings to rigorous investigation, including numerous decision-maker choices and sensitivity instances. The research findings present a roadmap that stakeholders can utilize to collaborate in order to effectively achieve sustainability objectives.}, Publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS}, Address = {PO BOX 2604, SPRINGFIELD, MO 65801-2604, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Tayyab, M (Corresponding Author), King Fahd Univ Petr \& Minerals, King Fahd Business Sch, Informat Syst \& Operat Management Dept, Dhahran 31261, Saudi Arabia. Tayyab, M (Corresponding Author), King Fahd Univ Petr \& Minerals, King Fahd Business Sch, Interdisciplinary Res Ctr Finance \& Digital Econ, Dhahran 31261, Saudi Arabia. Tayyab, Muhammad, King Fahd Univ Petr \& Minerals, King Fahd Business Sch, Informat Syst \& Operat Management Dept, Dhahran 31261, Saudi Arabia. Tayyab, Muhammad, King Fahd Univ Petr \& Minerals, King Fahd Business Sch, Interdisciplinary Res Ctr Finance \& Digital Econ, Dhahran 31261, Saudi Arabia.}, DOI = {10.3934/jimo.2024079}, EarlyAccessDate = {JUN 2024}, ISSN = {1547-5816}, EISSN = {1553-166X}, Keywords = {Single-setup multi-delivery policy; Renewable energy supply chain; robust optimization; technology investments; process improvement}, Keywords-Plus = {NETWORK DESIGN PROBLEM; DYNAMIC OPTIMIZATION; PROGRAMMING APPROACH; MATHEMATICAL-MODEL; BATCH PROCESSES; INTEGRATION; SYSTEM}, Research-Areas = {Engineering; Operations Research \& Management Science; Mathematics}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science; Mathematics, Interdisciplinary Applications}, Affiliations = {King Fahd University of Petroleum \& Minerals; King Fahd University of Petroleum \& Minerals}, ResearcherID-Numbers = {Tayyab, Muhammad/JMB-4137-2023}, Funding-Acknowledgement = {Interdisciplinary Research Center for Finance \& Digital Economy (IRC-FDE) at King Fahd University of Petroleum \& Minerals (KFUPM) {[}INFE2401]}, Funding-Text = {The first author is supported by Interdisciplinary Research Center for Finance \& Digital Economy (IRC-FDE) at King Fahd University of Petroleum \& Minerals (KFUPM) under the Project Number INFE2401 awarded on January 3, 2024.}, Cited-References = {Abbasi M, 2021, J CLEAN PROD, V323, DOI 10.1016/j.jclepro.2021.129100. 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Optim.}, Doc-Delivery-Number = {P1G5F}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001240358000001}, OA = {gold}, DA = {2026-04-14}, } @article{ WOS:000624591200001, Author = {Goodarzian, Fariba and Hosseini-Nasab, Hassan}, Title = {Applying a fuzzy multi-objective model for a production-distribution network design problem by using a novel self-adoptive evolutionary algorithm}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS \& LOGISTICS}, Year = {2021}, Volume = {8}, Number = {1}, Pages = {1-22}, Month = {JAN 2}, Abstract = {In this paper, a new fuzzy bi-objective mathematical model for production-distribution problem under uncertainty for a four-echelon supply chain network design involving of several suppliers, producers, distributors, customers, and a set of transportation modals with different reliability rates are presented. In addition to minimise the total cost of the supply chain, the second objective is maximising reliability rate of the whole proposed system. In order to solve the proposed model, a hybrid two-phase solution procedure is proposed based on possibilistic programming, fuzzy multi-objective programming and an efficient algorithm called self-adaptive differential evolution algorithm. Finally, an extensive comparison by a set of numerical examples with different complexity along with some sensitivity analyses has been reported to explore the efficiency of proposed model as well as the performance of proposed evolutionary algorithm.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Goodarzian, F (Corresponding Author), Univ Yazd, Dept Ind Engn, Yazd, Iran. Goodarzian, Fariba; Hosseini-Nasab, Hassan, Univ Yazd, Dept Ind Engn, Yazd, Iran.}, DOI = {10.1080/23302674.2019.1607621}, ISSN = {2330-2674}, EISSN = {2330-2682}, Keywords = {Production\&\#8211; distribution problem; fuzzy multi-objective programming; metaheuristic; self-adoptive evolutionary algorithm}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {faribagoodarzian@stu.yazd.ac.ir}, Affiliations = {University of Yazd}, ResearcherID-Numbers = {Goodarzian, Fariba/LSL-3857-2024}, ORCID-Numbers = {Goodarzian, Fariba/0000-0001-9295-1839}, Cited-References = {Amirtaheri O, 2017, COMPUT IND ENG, V110, P527, DOI 10.1016/j.cie.2017.06.030. Archetti C, 2011, COMPUT OPER RES, V38, P1731, DOI 10.1016/j.cor.2011.03.002. Bandyopadhyay S, 2014, J MANUF SYST, V33, P41, DOI 10.1016/j.jmsy.2013.12.001. 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Zitzler E, 1998, LECT NOTES COMPUT SC, V1498, P292, DOI 10.1007/BFb0056872.}, Number-of-Cited-References = {50}, Times-Cited = {40}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Int. J. Syst. Sci.- Oper. Logist.}, Doc-Delivery-Number = {QQ5UZ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000624591200001}, DA = {2026-04-14}, } @article{ WOS:000848614300001, Author = {Guerra, Maria Letizia and Magni, Carlo Alberto and Stefanini, Luciano}, Title = {Value Creation and Investment Projects: An Application of Fuzzy Sensitivity Analysis to Project Financing Transactions}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2022}, Volume = {21}, Number = {06}, Pages = {1683-1714}, Month = {DEC}, Abstract = {This paper presents a methodology which blends sensitivity analysis (SA) and fuzzy arithmetic for managing uncertainty in project financing transactions. Specifically, we adopt the perspective of the equityholders and use the average return on equity (ROE) to measure shareholder value creation and, in particular, the financial efficiency of the equity investment. We cope with uncertainty via global and local SA and fuzzy arithmetic; we use the fuzzy version of the well-known (global) Gamma indicator and we introduce the fuzzy versions of two (local) importance measures, the differential importance measures (DIM). We then apply them to the pro forma financial statements drawn up by the analyst for measuring and ranking the impact of the key accounting parameters on the resulting values and we show how the uncertain accounting and financial magnitudes of the project company affect the financial efficiency. Among the advantages of this analysis, aimed to enhance the managerial insights generated by the financial model and to lead to appropriate managerial actions, we focus on the attractiveness of fuzzy calculus and possibility theory to represent and compute all relevant financial data that appear in project financing and budgeting, where available information is characterized by incompleteness or nonstatistical uncertainty. In this context, fuzzy computing and appropriate SA techniques, based on application of the extension principle, allow complete investigation of the project characteristics.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Guerra, ML (Corresponding Author), Univ Bologna, Dept Stat Sci Paolo Fortunati, Bologna, Italy. Guerra, Maria Letizia, Univ Bologna, Dept Stat Sci Paolo Fortunati, Bologna, Italy. Magni, Carlo Alberto, Univ Modena \& Reggio Emilia, Sch Doctorate E4E Engn Econ Econ Engn, Modena, Italy. Stefanini, Luciano, Polit Univ Urbino Carlo Bo, DESP Dept Econ, Soc, Urbino, Italy.}, DOI = {10.1142/S021962202250033X}, EarlyAccessDate = {AUG 2022}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Investment analysis; project finance; financial efficiency; local and global sensitivity analyses; fuzzy numbers; extension principle}, Keywords-Plus = {AVERAGE INTERNAL RATE; DECISION-MAKING; RETURN; RISK; UNCERTAINTY; INFORMATION; RANDOMNESS; IRR}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {mletizia.guerra@unibo.it magni@unimo.it luciano.stefanini@uniurb.it}, Affiliations = {University of Bologna; Universita di Modena e Reggio Emilia; University of Urbino}, ResearcherID-Numbers = {Stefanini, Luciano/W-6116-2019 Guerra, Maria Letizia/F-2958-2011 Magni, Carlo/G-3356-2016}, ORCID-Numbers = {Guerra, Maria Letizia/0000-0002-8944-2192 }, Cited-References = {Altshuler D., 2012, J REAL ESTATE PORTFO, V18, P219, DOI {[}10.1080/10835547.2012.12089920, DOI 10.1080/10835547.2012.12089920]. 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Zhou PF, 2021, ENERGY, V224, DOI 10.1016/j.energy.2021.120184.}, Number-of-Cited-References = {80}, Times-Cited = {4}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {13}, Journal-ISO = {Int. J. Inf. Technol. Decis. Mak.}, Doc-Delivery-Number = {7L5AI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000848614300001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:001221739000001, Author = {Medhioub, Mouna and Bouhamed, Sonda Ammar and Kallel, Imene Khanfir and Derbel, Nabil and Kanoun, Olfa}, Title = {Optimal feature subset deduction based on possibilistic feature quality classification and feature complementarity}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {249}, Number = {A}, Month = {SEP 1}, Abstract = {Data quality estimation has become an important research axis in applications when defining useful information is required. Determining useful information is an essential task in the learning process. One important aspect thereby is to find optimal and sufficient information that has a good quality and which is complimentary to improve the performance of the decision-making system. In this paper, a survey of data quality is operated in the possibilistic framework. The main objective of this work is the development of a possibilistic approach that aims to extract useful information from imperfect knowledge. The new method consists of two main steps, the classification of feature quality and the determination of the optimal feature subset. The optimal feature subset is deduced according to the feature classification technique and the feature complementarity. To show the performance of the proposed approach, the new method has been evaluated, firstly, on a synthetic dataset, and then on different benchmark databases. Later, the new method is evaluated on two real databases to gain a better insight into the performance of this method. Experiments showed the effectiveness of the proposed method in extracting useful information using the optimal feature subset. Experimental results illustrate significant accuracy rates compared with different earlier methods, especially when the system complexity increases.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Medhioub, M (Corresponding Author), Natl Sch Elect \& Telecommun Sfax, Rd Tunis,Technopole Sfax, Sfax, Tunisia. Medhioub, Mouna; Bouhamed, Sonda Ammar, CRNS, Lab Signals Syst aRtificial Intelligence NeTworkS, Sfax, Tunisia. Medhioub, Mouna; Bouhamed, Sonda Ammar, Univ Sfax, Natl Sch Elect \& Telecommun Sfax, Sfax Technopole Sakiet Ezzit, Sfax, Tunisia. Kallel, Imene Khanfir; Derbel, Nabil, Univ Sfax, Natl Sch Engineers Sfax, Control \& Energy Management CEM Lab, Sfax, Tunisia. Kallel, Imene Khanfir, IMT Atlantique, Image \& Informat Proc Dept iTi, Technopole Brest Iroise, F-83818 Nantes, France. Kanoun, Olfa, Tech Univ Chemnitz, Measurement \& Sensor Technol, Chemnitz, Germany. Medhioub, Mouna, Natl Sch Elect \& Telecommun Sfax, Rd Tunis,Technopole Sfax, Sfax, Tunisia.}, DOI = {10.1016/j.eswa.2024.123353}, EarlyAccessDate = {MAR 2024}, Article-Number = {123353}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Possibility distribution; Useful data; Feature classification; Data quality; Feature complementarity; Optimal feature subset}, Keywords-Plus = {FEATURE-SELECTION; INFORMATION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {mouna.medhioub28@gmail.com sonda.ammar@enetcom.usf.tn imen.khanfir.kallel@gmail.com nabil.derbel@gmail.com olfa.kanoun@etit.tu-chemnitz.de}, Affiliations = {Universite de Sfax; Centre de Recherche en Numerique de Sfax (CRNS); Universite de Sfax; Universite de Sfax; Ecole Nationale dIngenieurs de Sfax (ENIS); IMT - Institut Mines-Telecom; IMT Atlantique; Technische Universitat Chemnitz; Universite de Sfax; Centre de Recherche en Numerique de Sfax (CRNS)}, ResearcherID-Numbers = {Bouhamed, Sonda/ODJ-4062-2025 Khanfir Kallel, Imène/AAH-2043-2020 Kanoun, Olfa/AAQ-2680-2020 Derbel, Nabil/HPE-7343-2023}, ORCID-Numbers = {Khanfir Kallel, Imène/0000-0002-0618-5080 Kanoun, Olfa/0000-0002-7166-1266 Derbel, Nabil/0000-0002-2875-562X}, Funding-Acknowledgement = {Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) {[}416228727-SFB 1410]}, Funding-Text = {The authors would like to thank the Control and Energy Management Laboratory (CEM) of Sfax Engineering School and the Measurement and Sensor Technology (MST) laboratory at TU-Chemnitz. This work has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Project-ID 416228727-SFB 1410, Sub-project A03 (applicant Prof. Dr.-Ing. Olfa Kanoun) .}, Cited-References = {Allam M, 2022, J KING SAUD UNIV COM, V34, P329, DOI 10.1016/j.jksuci.2018.12.001. {[}Anonymous], 2017, Machine Learning Repository, U. Arauzo-Azofra A., 2004, Proceedings of the fifth international conference on Recent Advances in Soft Computing, P104. Becerra M., 2021, Information fusion and information quality assessment for environmental forecastingvalle de aburra - medellin - Colombia, DOI {[}10.1016/j.uclim.2021.100960,39, DOI 10.1016/J.UCLIM.2021.100960,39]. Bhalaji N., 2018, International Journal of Intelligent Systems Technologies and Applications, V17, P98, DOI 10.1504/ijista.2018.091590. BHATTACHARYA BK, 1982, ANN I STAT MATH, V34, P161, DOI 10.1007/BF02481018. Bouhamed SA, 2015, PATTERN RECOGN, V48, P3627, DOI 10.1016/j.patcog.2015.03.015. 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Appl.}, Doc-Delivery-Number = {QO2D2}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001221739000001}, DA = {2026-04-14}, } @article{ WOS:000180808100009, Author = {Oussalah, M and Newby, M}, Title = {Analysis of serial-parallel systems in the framework of fuzzy/possibility approach. Part I. Appraisal: case of independent components}, Journal = {RELIABILITY ENGINEERING \& SYSTEM SAFETY}, Year = {2003}, Volume = {79}, Number = {3}, Pages = {353-368}, Month = {MAR}, Abstract = {This paper attempts to review the fuzzy/possibility tools when dealing with reliability of serial-parallel systems. Various issues of reasoning-based approaches in this framework are reviewed and discussed and compared with the standard probabilistic approach of reliability. Typically in all the approaches investigated in this paper we adopt a fuzzy probability modelling of a reliability of a single unit. This translates the fact that the precise value of the (probabilistic) reliability of a given unit is rather ill known and, therefore, we attach a possibility distribution on a probability space that accounts for this lack of knowledge. Basically, three based methodologies are discussed and investigated: extension principle-based approach, set theoretic approach and join and meet-based reasoning. Each of these methodologies supports a special description and understanding of the behaviour of the redundancy and/or serial connection. Incidence on other forms of uncertainty like imprecision of the outcome as well as consistency with respect to probabilistic outcomes will be examined. (C) 2002 Published by Elsevier Science Ltd.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Oussalah, M (Corresponding Author), City Univ London, Ctr Software Reliabil, Sch Informat, 10 Northhampton Sq, London EC1V 0HB, England. City Univ London, Ctr Software Reliabil, Sch Informat, London EC1V 0HB, England. City Univ London, Sch Engn, London EC1V 0HB, England.}, DOI = {10.1016/S0951-8320(02)00244-2}, Article-Number = {PII S0951-8320(02)00244-2}, ISSN = {0951-8320}, EISSN = {1879-0836}, Keywords = {reliability; uncertainty; fuzzy set; possibility theory; serial and parallel systems}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {m.oussalah@city.ac.uk m.j.newby@city.ac.uk}, Affiliations = {City St Georges, University of London; City St Georges, University of London}, ORCID-Numbers = {Oussalah, Mourad/0000-0002-4422-8723}, Cited-References = {AVEN T, 1985, IEEE T RELIAB, V34, P473, DOI 10.1109/TR.1985.5222235. de Finetti B., 1974, THEORY PROBABILITY, V2. de Finetti B., 1974, Theory of Probability, V1. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. DUBOIS D, 1987, ANAL FUZZY INFORMATI, P112. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zadeh L.A., 1975, FUZZY SETS THEIR APP, DOI DOI 10.1016/B978-0-12-775260-0.50006-2. ZADEH LA, 1995, TECHNOMETRICS, V37, P271, DOI 10.2307/1269908. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {25}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Reliab. Eng. Syst. Saf.}, Doc-Delivery-Number = {642ML}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000180808100009}, DA = {2026-04-14}, } @article{ WOS:000686691900003, Author = {Houssineau, Jeremie and Zeng, Jiajie and Jasra, Ajay}, Title = {Uncertainty modelling and computational aspects of data association}, Journal = {STATISTICS AND COMPUTING}, Year = {2021}, Volume = {31}, Number = {5}, Month = {SEP}, Abstract = {A novel solution to the smoothing problem for multi-object dynamical systems is proposed and evaluated. The systems of interest contain an unknown and varying number of dynamical objects that are partially observed under noisy and corrupted observations. In order to account for the lack of information about the different aspects of this type of complex system, an alternative representation of uncertainty based on possibility theory is considered. It is shown how analogues of usual concepts such as Markov chains and hidden Markov models (HMMs) can be introduced in this context. In particular, the considered statistical model for multiple dynamical objects can be formulated as a hierarchical model consisting of conditionally independent HMMs. This structure is leveraged to propose an efficient method in the context of Markov chain Monte Carlo (MCMC) by relying on an approximate solution to the corresponding filtering problem, in a similar fashion to particle MCMC. This approach is shown to outperform existing algorithms in a range of scenarios.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Houssineau, J (Corresponding Author), Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England. Houssineau, Jeremie, Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England. Zeng, Jiajie, Natl Univ Singapore, Dept Stat \& Appl Probabil, Singapore 119077, Singapore. Jasra, Ajay, King Abdullah Univ Sci \& Technol, Comp Elect \& Math Sci \& Engn Div, Thuwal 239556900, Saudi Arabia.}, DOI = {10.1007/s11222-021-10039-1}, Article-Number = {59}, ISSN = {0960-3174}, EISSN = {1573-1375}, Keywords = {Possibility theory; Markov chain Monte Carlo; Simulated annealing; Multi-target tracking}, Keywords-Plus = {TRACKING; TARGET; FILTERS; PHD}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Statistics \& Probability}, Author-Email = {jeremie.houssineau@warwick.ac.uk}, Affiliations = {University of Warwick; National University of Singapore; King Abdullah University of Science \& Technology}, ResearcherID-Numbers = {Houssineau, Jeremie/AAB-1549-2020 }, ORCID-Numbers = {Houssineau, Jeremie/0000-0001-8235-0239 Jasra, Ajay/0000-0003-4808-9131}, Funding-Acknowledgement = {Singapore Ministry of Education tier 1 Grant {[}R-155-000-182-114]; KAUST baseline funding}, Funding-Text = {This work was supported by Singapore Ministry of Education tier 1 Grant R-155-000-182-114. AJ was additionally supported by KAUST baseline funding.}, Cited-References = {Andrieu C, 2010, J R STAT SOC B, V72, P269, DOI 10.1111/j.1467-9868.2009.00736.x. Vo BN, 2014, IEEE T SIGNAL PROCES, V62, P6554, DOI 10.1109/TSP.2014.2364014. Bao F, 2017, SIAM J SCI COMPUT, V39, pA2664, DOI 10.1137/16M1100277. Bekkerman I, 2006, IEEE T SIGNAL PROCES, V54, P3873, DOI 10.1109/TSP.2006.879267. Benfold B., 2011, 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), P3457, DOI 10.1109/CVPR.2011.5995667. Carmi A, 2012, AUTOMATICA, V48, P2454, DOI 10.1016/j.automatica.2012.06.086. Chenouard N, 2014, NAT METHODS, V11, P281, DOI 10.1038/nmeth.2808. De Baets B, 1999, FUZZY SET SYST, V106, P221, DOI 10.1016/S0165-0114(97)00245-5. DEMPSTER AP, 1967, BIOMETRIKA, V54, P515, DOI 10.2307/2335042. Dubois D, 2015, SPRINGER HANDBOOK OF COMPUTATIONAL INTELLIGENCE, P31. Fortmann T. 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Comput.}, Doc-Delivery-Number = {UC7HD}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000686691900003}, OA = {Green Submitted, hybrid}, DA = {2026-04-14}, } @article{ WOS:000464966200002, Author = {Fan, Chongqing and Lu, Zhenzhou and Shi, Yan}, Title = {Time-dependent failure possibility analysis under consideration of fuzzy uncertainty}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2019}, Volume = {367}, Number = {SI}, Pages = {19-35}, Month = {JUL 15}, Abstract = {The problem which is actually being addressed in this paper includes two parts. One is establishing the time-dependent failure possibility (TDFP) model to measure the safety degree for structure under the fuzzy uncertainty over a given time intervals. The other is presenting two methods to estimate the TDFP, involving the double-loop nested optimization method (DLOM) and the efficient single-loop optimization method (SLOM). For measuring the safety degree of the structure under the fuzzy uncertainty in the given time interval, the TDFP, defined as the possibility of the performance less than zero under the fuzzy uncertainty in the given time interval, is proposed based on the possibility theory of the safety measure. For evaluating the proposed TDFP, the DLOM is established firstly by the definition of TDFP, but the computational cost of the DLOM is too high to solve the problems of the practical engineering. Thus the SLOM which transforms the estimation of the TDFP to the time-independent failure possibility by the extreme value is established to save the computational cost. The equivalency between the DLOM and the SLOM is strictly proved. The comparison between TDFP and the time dependent failure probability is completely in the theory and implementation to show the advantages of the proposed TDFP. After the detailed implementation of the proposed TDFP is given, several examples are used to verify the rationality of the established TDFP and the efficiency of the SLOM. (C) 2018 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Lu, ZZ (Corresponding Author), Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China. Fan, Chongqing; Lu, Zhenzhou; Shi, Yan, Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China.}, DOI = {10.1016/j.fss.2018.06.016}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Time-dependent failure possibility; Fuzzy uncertainty; Double-loop optimization method; Single-loop optimization method; Safety measure}, Keywords-Plus = {DESIGN OPTIMIZATION; RELIABILITY-ANALYSIS; DYNAMIC RELIABILITY; MEMBERSHIP FUNCTION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {Chongqingfan@mail.nwpu.edu.cn zhenzhoulu@nwpu.edu.cn rockousy@163.com}, Affiliations = {Northwestern Polytechnical University}, ORCID-Numbers = {Shi, Yan/0000-0001-8759-0178}, Funding-Acknowledgement = {Natural Science Foundation of China {[}51475370, 51775439]}, Funding-Text = {This work was supported by the Natural Science Foundation of China (Grants 51475370 and 51775439).}, Cited-References = {{[}Anonymous], UNCERTAIN MODEL ANAL. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {27}, Times-Cited = {47}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {36}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {HU0MY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000464966200002}, DA = {2026-04-14}, } @article{ WOS:000240209000006, Author = {Elishakoff, Isaac and Ferracuti, Barbara}, Title = {Fuzzy sets based interpretation of the safety factor}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {18}, Pages = {2495-2512}, Month = {SEP 16}, Abstract = {Safety factor is a universally utilized concept in several branches of engineering. On one hand, most engineers, as it were, neglect uncertainty, but on the other hand, the allowable stress level was introduced long time ago as a ratio of the yield stress to the so-called safety factor to provide the region for the safe utilization of the structure. Thus the uncertainty is introduced into practice by the ``back door{''}. This observation led to a considerable literature dedicated to the probabilistic interpretation of the safety factor. The present paper deals with the novel aspect of elucidation of the concept of safety factor through the theory of fuzzy sets, apparently for the first time in the literature. The aim of the paper is to present the safety factor that is uniformly employed by engineers, but in the new light. The safety factor in the fuzzy setting is introduced. The ideas are illustrated on two strength of material problems; simple examples are chosen so as to allow for clearer illustration of ideas. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Ferracuti, B (Corresponding Author), Univ Bologna, DISTART, Viale Risorgimento 2, Bologna, Italy. Univ Bologna, DISTART, Bologna, Italy. Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA.}, DOI = {10.1016/j.fss.2006.06.009}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {safety factor; fuzzy numbers; possibility theory; probability theory; reliability}, Keywords-Plus = {RELIABILITY-ANALYSIS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {elishako@fau.edu barbara.ferracuti@mail.ing.unibo.it}, Affiliations = {University of Bologna; State University System of Florida; Florida Atlantic University}, ORCID-Numbers = {FERRACUTI, Barbara/0000-0002-0034-4765}, Cited-References = {Ben-Haim Y., 1990, CONVEX MODELS UNCERT. Ben-Haim Y., 1996, Robust Reliability in the Mechanical Sciences. BenHaim Y, 1996, J STAT COMPUT SIM, V55, P263, DOI 10.1080/00949659608811768. BENHAIM Y, 1994, STRUCT SAF, V14, P227, DOI 10.1016/0167-4730(94)90013-2. Bernardini A, 1999, Whys and Hows in Uncertainty Modelling: Probability, Fuzziness and Anti-Optimization, P63. Blockley D.I., 1980, NATURE STRUCTURAL DE. CAI KY, 1991, FUZZY SET SYST, V42, P145, DOI 10.1016/0165-0114(91)90143-E. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. DUBOIS D, 1985, AUTOMATICA, V21, P547, DOI 10.1016/0005-1098(85)90004-4. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. Elishakoff I., 2004, Safety Factors and Reliability: friends or foes?. Elishakoff I.E., 1999, PROBABILISTIC THEORY. FREUDENTHAL AM, 1968, 8 C INT ASS BRIDG ST, P13. GOOD IJ, 1995, J STAT COMPUT SIMULA, V52, P192. HALDAR A, FUZZY SETS SYSTEMS, V48, P201. KAUFMANN A, 1985, INTRO FUZZY ARITHMET, P84. Klir G.J., 1997, FUZZY SET THEORY FDN. Korner R, 1997, FUZZY SET SYST, V92, P83, DOI 10.1016/S0165-0114(96)00169-8. Moller B., 2004, Fuzzy-randomness - uncertainty in civil engineering and computational mechanics. RZHANITSYN AR, 1947, STROITELNAYA PROMISH, V8. Savoia M, 2002, COMPUT STRUCT, V80, P1087, DOI 10.1016/S0045-7949(02)00068-8. Utkin LV, 1996, FUZZY SET SYST, V83, P203, DOI 10.1016/0165-0114(95)00391-6. ZHAO RH, 1991, FUZZY SET SYST, V43, P45, DOI 10.1016/0165-0114(91)90020-Q.}, Number-of-Cited-References = {23}, Times-Cited = {29}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {079WQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000240209000006}, DA = {2026-04-14}, } @article{ WOS:000414107100002, Author = {Tosarkani, Babak Mohamadpour and Amin, Saman Hassanzadeh}, Title = {A possibilistic solution to configure a battery closed-loop supply chain: Multi-objective approach}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2018}, Volume = {92}, Pages = {12-26}, Month = {FEB}, Abstract = {Closed-loop supply chain (CLSC) is a prominent concept emphasizing on both economic and environmental aspects. Since a CLSC comprises of forward and reverse supply chains, there are a variety of internal and external factors associated with its total expected profit. In a forward flow, volatility in transportation cost, holding cost, and forecasting the market's demand are the most challenging issues for decision makers, while determining the rate of returned products and efficiency in recycling the returned products are crucial parameters to predict in reverse flow. In this paper, it is aimed to develop and apply a fully fuzzy programming (FFP) method to determine the possible upper, middle, and lower ranges of profit for a multi-echelon battery CLSC with multi-components, multi-product in multi-period under imprecise information. In addition, we extend the proposed model to multi-objective to consider the green factors related to plants and battery recovery centers. Fuzzy analytic network process (Fuzzy ANP) is utilized to alter the qualitative measurements to the measurable parameters. Then, distance technique and epsilon-constraint method are utilized for solving the multi-objective problem. We illustrate the application of the model in Vancouver, Canada using maps. (C) 2017 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Amin, SH (Corresponding Author), Ryerson Univ, Dept Mech \& Ind Engn, 350 Victoria St, Toronto, ON M5B 2K3, Canada. Tosarkani, Babak Mohamadpour; Amin, Saman Hassanzadeh, Ryerson Univ, Dept Mech \& Ind Engn, 350 Victoria St, Toronto, ON M5B 2K3, Canada.}, DOI = {10.1016/j.eswa.2017.09.039}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fully fuzzy programming (FFP); Closed-loop supply chain (CLSC); Uncertainty; Multi-objective fuzzy programming (MOFP); Fuzzy analytic network process (Fuzzy ANP)}, Keywords-Plus = {NETWORK DESIGN; UNCERTAINTY; MODEL; OPTIMIZATION; INVENTORY; SELECTION; LOCATION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {babak.mohamadpour@ryerson.ca saman.amin@ryerson.ca}, Affiliations = {Toronto Metropolitan University}, ResearcherID-Numbers = {Mohamadpour Tosarkani, Babak/CAF-6880-2022}, ORCID-Numbers = {Hassanzadeh Amin, Saman/0000-0001-6173-7530 Mohamadpour Tosarkani, Babak/0000-0003-3386-7957}, Funding-Acknowledgement = {Ryerson University}, Funding-Text = {The authors would like to thank the editor and referees for the comments and feedback that improved the paper. This research has been supported by Ryerson University grant awarded to the second author.}, Cited-References = {Al-E-Hashem SMJM, 2011, INT J PROD ECON, V134, P28, DOI 10.1016/j.ijpe.2011.01.027. Al-Salem M, 2016, J MANUF SYST, V40, P1, DOI 10.1016/j.jmsy.2016.04.001. Amin SH, 2017, EXPERT SYST APPL, V73, P82, DOI 10.1016/j.eswa.2016.12.024. Amin SH, 2017, APPL MATH MODEL, V41, P316, DOI 10.1016/j.apm.2016.08.030. Amin SH, 2012, EXPERT SYST APPL, V39, P6782, DOI 10.1016/j.eswa.2011.12.056. {[}Anonymous], 2008, MULTIOBJECTIVE OPTIM. Chang DY, 1996, EUR J OPER RES, V95, P649, DOI 10.1016/0377-2217(95)00300-2. Chen YW, 2017, ROBOT CIM-INT MANUF, V43, P111, DOI 10.1016/j.rcim.2015.10.006. Collette Y., 2003, MULTIOBJECTIVE OPTIM. Das D, 2016, INT J ADV MANUF TECH, V86, P621, DOI 10.1007/s00170-015-8195-7. Dutta P, 2016, J CLEAN PROD, V135, P604, DOI 10.1016/j.jclepro.2016.06.108. Ehrgott M., 2005, Multicriteria optimization, DOI DOI 10.1007/3-540-27659-9. Ezzati R, 2015, APPL MATH MODEL, V39, P3183, DOI 10.1016/j.apm.2013.03.014. Feitó-Cespón M, 2017, J CLEAN PROD, V151, P206, DOI 10.1016/j.jclepro.2017.03.057. Fuel Consumption Guide, 2014, FUEL CONS GUID. Jeihoonian M, 2017, INT J PROD ECON, V183, P470, DOI 10.1016/j.ijpe.2016.07.023. Kaya O, 2016, COMPUT OPER RES, V65, P93, DOI 10.1016/j.cor.2015.07.005. Kisomi MS, 2016, APPL MATH MODEL, V40, P7928, DOI 10.1016/j.apm.2016.03.047. Ma RM, 2016, CHAOS SOLITON FRACT, V89, P195, DOI 10.1016/j.chaos.2015.10.028. Mirakhorli A, 2014, INT J ADV MANUF TECH, V70, P349, DOI 10.1007/s00170-013-5264-7. Mohammed F, 2017, TRANSPORT RES D-TR E, V51, P146, DOI 10.1016/j.trd.2016.10.033. Özceylan E, 2016, J MANUF SYST, V41, P143, DOI 10.1016/j.jmsy.2016.08.008. Ozcylan E., 2017, COMPUTERS I IN PRESS. Saaty T. L., 1996, DECISION MAKING DEPE, V4922. Shakourloo A, 2016, APPL MATH MODEL, V40, P9914, DOI 10.1016/j.apm.2016.06.039. Shimada T., 2017, INT J PRODU IN PRESS. Sifaleras A, 2017, COMPUT OPER RES, V78, P385, DOI 10.1016/j.cor.2015.10.004. Sifaleras A, 2015, Electronic Notes in Discrete Mathematics, V47, P69, DOI {[}10.1016/j.endm.2014.11.010, 10.1016/j.endm.2014.11.010, DOI 10.1016/J.ENDM.2014.11.010]. Soleimani H, 2017, COMPUT IND ENG, V109, P191, DOI 10.1016/j.cie.2017.04.038. Soto AV, 2017, COMPUT IND ENG, V109, P96, DOI 10.1016/j.cie.2017.04.027. Subulan K, 2015, APPL MATH MODEL, V39, P2661, DOI 10.1016/j.apm.2014.11.004. Pham T, 2017, COMPUT IND ENG, V108, P177, DOI 10.1016/j.cie.2017.04.012. Talaei M, 2016, J CLEAN PROD, V113, P662, DOI 10.1016/j.jclepro.2015.10.074. Vahdani B, 2015, INT J PROD ECON, V170, P67, DOI 10.1016/j.ijpe.2015.08.020. Xu ZT, 2017, WASTE MANAGE, V64, P358, DOI 10.1016/j.wasman.2017.02.024.}, Number-of-Cited-References = {35}, Times-Cited = {92}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {175}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {FL3FA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000414107100002}, DA = {2026-04-14}, } @article{ WOS:000354288600001, Author = {Yager, Ronald R. and Alajlan, Naif}, Title = {On the consistency of fuzzy measures in multi-criteria aggregation}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2015}, Volume = {14}, Number = {2}, Pages = {121-137}, Month = {JUN}, Abstract = {We introduce the concept of monotonic set measures, and provide an ordering over these measures which allows us to describe one measure as being bigger or more generous than another. We discuss the use of these measures for the representation of complex importance relationships in multi-criteria decision-making and consider the use of additive, possibilistic and cardinality-based measures. We then look in considerable detail at the use of quasi-additive measures for representing criteria importance relationships. We discuss the problem of using the information about criteria importance to aggregate the satisfaction to individual criteria by a decision alternative. We note some required properties of such an aggregation, including a property on monotonicity with respect to criteria satisfaction. We introduce three approaches for performing this aggregation, the Choquet integral, the Sugeno integral and the median. We next consider another requirement of this aggregation, consistency with respect to measure monotonicity, which requires that bigger, more generous measures, have greater aggregated satisfaction. We look at the three methods of aggregation with regard to this property. We introduce the idea of attitudinal character of a measure and show its relationship to the ordering of measures.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Yager, RR (Corresponding Author), Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA. Yager, Ronald R., Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA. Yager, Ronald R., King Saud Univ, Riyadh, Saudi Arabia. Alajlan, Naif, King Saud Univ, Coll Comp \& Informat Sci, ALISR Lab, Riyadh, Saudi Arabia.}, DOI = {10.1007/s10700-014-9194-0}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Multi-criteria decision; Measure; Importance; Aggregation; Monotonicity}, Keywords-Plus = {DECISION-MAKING; INTEGRALS; OPERATORS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {yager@panix.com najlan@ksu.edu.sa}, Affiliations = {Iona College; King Saud University; King Saud University}, ResearcherID-Numbers = {Alajlan, Naif/A-3904-2008 Yager, Ronald/L-1429-2017}, ORCID-Numbers = {Alajlan, Naif/0000-0003-1846-1131 }, Funding-Acknowledgement = {ONR {[}N00014-13-1-0626]; ARO MURI {[}W911NF-09-1-0392]; King Saud University}, Funding-Text = {This work has been in part supported by ONR Grant Award Number N00014-13-1-0626 and ARO MURI Grant Number W911NF-09-1-0392. The authors would like to acknowledge the support from the Distinguished Scientist Fellowship Program at King Saud University.}, Cited-References = {Aliev R, 2013, FUZZY OPTIM DECIS MA, V12, P357, DOI 10.1007/s10700-013-9160-2. Beliakov G., 2007, Aggregation functions. Chen TY, 2013, FUZZY OPTIM DECIS MA, V12, P323, DOI 10.1007/s10700-013-9158-9. Dubois D, 2001, INT J UNCERTAIN FUZZ, V9, P539, DOI 10.1016/S0218-4885(01)00105-8. Grabisch M, 1996, EUR J OPER RES, V89, P445, DOI 10.1016/0377-2217(95)00176-X. Klement EP, 2014, FUZZY OPTIM DECIS MA, V13, P273, DOI 10.1007/s10700-014-9182-4. Klement ErichPeter., 2000, Triangular Norms, DOI DOI 10.1007/978-94-015-9540-7. Liao HC, 2013, FUZZY OPTIM DECIS MA, V12, P373, DOI 10.1007/s10700-013-9162-0. Marichal JL, 2000, STUD FUZZ SOFT COMP, V40, P247. Mesiar R, 2013, INT J APPROX REASON, V54, P357, DOI 10.1016/j.ijar.2012.07.008. Murofushi T, 2000, STUD FUZZ SOFT COMP, V40, P3. Sugeno M., 1977, FUZZY AUTOMATA DECIS, P89. Wang Z., 2009, GEN MEASURE THEORY. Wang Z., 2010, Edwardsiella pis. Yager RR, 2014, FUZZY OPTIM DECIS MA, V13, P1, DOI 10.1007/s10700-013-9167-8. Yager RR, 1996, INT J INTELL SYST, V11, P49, DOI 10.1002/(SICI)1098-111X(199601)11:1<49::AID-INT3>3.3.CO;2-L. Yager RR, 2002, INT J GEN SYST, V31, P303, DOI 10.1080/03081070290018047. YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068. Zhang XM, 2012, FUZZY OPTIM DECIS MA, V11, P135, DOI 10.1007/s10700-012-9118-9.}, Number-of-Cited-References = {19}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {16}, Journal-ISO = {Fuzzy Optim. Decis. Mak.}, Doc-Delivery-Number = {CH8LT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000354288600001}, DA = {2026-04-14}, } @article{ WOS:000178069700003, Author = {Carlsson, C and Fullér, R and Majlender, P}, Title = {A possibilistic approach to selecting portfolios with highest utility score}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2002}, Volume = {131}, Number = {1}, Pages = {13-21}, Month = {OCT 1}, Abstract = {The mean-variance methodology for the portfolio selection problem, originally proposed by Markowitz, has been one of the most important research fields in modem finance. In this paper we will assume that: (i) each investor can assign a welfare, or utility, score to competing investment portfolios based on the expected return and risk of the portfolios; and (ii) the rates of return on securities are modelled by possibility distributions rather than probability distributions. We will present an algorithm of complexity o(n(3)) for finding an exact optimal solution (in the sense of utility scores) to the n-asset portfolio selection problem under possibility distributions. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Carlsson, C (Corresponding Author), Abo Akad Univ, IAMSR, Lemminkainengatan 14B,DataCity B6734, FIN-20520 Turku, Finland. Abo Akad Univ, IAMSR, FIN-20520 Turku, Finland. Eotvos Lorand Univ, Dept OR, H-1053 Budapest, Hungary.}, DOI = {10.1016/S0165-0114(01)00251-2}, Article-Number = {PII S0165-0114(01)00251-2}, ISSN = {0165-0114}, Keywords = {mean-variance analysis; possibility distributions}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {christer.carlsson@abo.fi rfuller@cs.elte.hu peter.majlender@abo.fi}, Affiliations = {Abo Akademi University; Eotvos Lorand University}, ResearcherID-Numbers = {Fullér, Róbert/C-3963-2011}, ORCID-Numbers = {Fullér, Róbert/0000-0002-4146-0885}, Cited-References = {BODIE Z, 1996, TIMES MIRRO HIGHER E. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Inuiguchi M, 2000, FUZZY SET SYST, V115, P83, DOI 10.1016/S0165-0114(99)00026-3. Markowitz H, 1952, J FINANC, V7, P77, DOI 10.1111/j.1540-6261.1952.tb01525.x. TVERSKY A, 1969, PSYCHOL REV, V76, P31, DOI 10.1037/h0026750. WATADA J, 1997, MATH PUBL, V13, P219. Xia YS, 2000, COMPUT OPER RES, V27, P409, DOI 10.1016/S0305-0548(99)00059-3.}, Number-of-Cited-References = {7}, Times-Cited = {223}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {31}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {594UP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000178069700003}, DA = {2026-04-14}, } @article{ WOS:000310501700050, Author = {Omar, A. H. Alsonosi and Abu Hasan, Y.}, Title = {Numerical solution of fuzzy differential equations and the dependency problem}, Journal = {APPLIED MATHEMATICS AND COMPUTATION}, Year = {2012}, Volume = {219}, Number = {3}, Pages = {1263-1272}, Month = {OCT 15}, Abstract = {Using fuzzy differential equations is a rational way of modeling a dynamic system under possibilistic uncertainty. In modeling real-world phenomena, fuzzy initial value problems (FIVPs) appear naturally. In this paper, we propose a modified fourth-order Runge-Kutta method to solve FIVPs. The method is adopted to solve the dependency problem in fuzzy computation. The new approach is compared with other established approaches to solve fuzzy initial value problems, and this is shown to be effective. (C) 2012 Elsevier Inc. All rights reserved.}, Publisher = {ELSEVIER SCIENCE INC}, Address = {360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA}, Type = {Article}, Language = {English}, Affiliation = {Omar, AHA (Corresponding Author), Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia. Omar, A. H. Alsonosi; Abu Hasan, Y., Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia.}, DOI = {10.1016/j.amc.2012.07.034}, ISSN = {0096-3003}, Keywords = {The Runge-Kutta method; Fuzzy initial value problem; Dependency problem in fuzzy computation}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {almabrok76@yahoo.com ahyahya@cs.usm.my}, Affiliations = {Universiti Sains Malaysia}, ResearcherID-Numbers = {Omar, ِAlmbrok/C-9254-2018 omar, Almbrok/C-9254-2018}, ORCID-Numbers = {omar, Almbrok/0000-0002-2100-0099}, Funding-Acknowledgement = {School of Mathematical Sciences, Universiti Sains Malaysia}, Funding-Text = {This research is supported by a grant from the School of Mathematical Sciences, Universiti Sains Malaysia. The authors are very grateful to the anonymous referees for the inspiring comments and the precious suggestions which improved our manuscript significantly.}, Cited-References = {Abbasbandy S., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0006. Abbasbandy S., 2004, Nonlinear Studies, V11, P117. Ahmad H. Z., 2011, J APPL SCI, V11, P1143. Ahmad MZ, 2011, SAINS MALAYS, V40, P651. Ahmad MZ, 2011, SAINS MALAYS, V40, P643. Ahmad M.Z., 2010, APPL MATH SCI, V4, P2509. Bonarini A., 1994, ACM Transactions on Modeling and Computer Simulation, V4, P285, DOI 10.1145/200883.200884. Brent R., 2002, ALGORITHMS MINIMIZAT. Buckley JJ, 2000, FUZZY SET SYST, V110, P43, DOI 10.1016/S0165-0114(98)00141-9. DUBOIS D, 1982, FUZZY SET SYST, V8, P225, DOI 10.1016/S0165-0114(82)80001-8. Ma M, 1999, FUZZY SET SYST, V105, P133, DOI 10.1016/S0165-0114(97)00233-9. Osmo Kaleva, 1987, FUZZY SETS SYSTEMS, V24, P301. Palligkinis SC, 2009, APPL MATH COMPUT, V209, P97, DOI 10.1016/j.amc.2008.06.017. SEIKKALA S, 1987, FUZZY SET SYST, V24, P319, DOI 10.1016/0165-0114(87)90030-3. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {15}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Appl. Math. Comput.}, Doc-Delivery-Number = {029NE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000310501700050}, DA = {2026-04-14}, } @article{ WOS:000279605300011, Author = {Faybishenko, Boris}, Title = {Fuzzy-probabilistic calculations of water-balance uncertainty}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2010}, Volume = {24}, Number = {6, SI}, Pages = {939-952}, Month = {AUG}, Abstract = {Hydrogeological systems are often characterized by imprecise, vague, inconsistent, incomplete, or subjective information, which may limit the application of conventional stochastic methods in predicting hydrogeologic conditions and associated uncertainty. Instead, predictions and uncertainty analysis can be made using uncertain input parameters expressed as probability boxes, intervals, and fuzzy numbers. The objective of this paper is to present the theory for, and a case study as an application of, the fuzzy-probabilistic approach, combining probability and possibility theory for simulating soil water balance and assessing associated uncertainty in the components of a simple water-balance equation. The application of this approach is demonstrated using calculations with the RAMAS Risk Calc code, to assess the propagation of uncertainty in calculating potential evapotranspiration, actual evapotranspiration, and infiltration-in a case study at the Hanford site, Washington, USA. Propagation of uncertainty into the results of water-balance calculations was evaluated by changing the types of models of uncertainty incorporated into various input parameters. The results of these fuzzy-probabilistic calculations are compared to the conventional Monte Carlo simulation approach and estimates from field observations at the Hanford site.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Faybishenko, B (Corresponding Author), Univ Calif Berkeley, Lawrence Berkeley Lab, 1 Cyclotron Rd,MS 90-1116, Berkeley, CA 94720 USA. Univ Calif Berkeley, Lawrence Berkeley Lab, Berkeley, CA 94720 USA.}, DOI = {10.1007/s00477-010-0379-y}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Water balance; Uncertainty; Fuzzy-probabilistic approach; Fuzzy calculations}, Keywords-Plus = {VADOSE ZONE; HANFORD; MANAGEMENT; RECHARGE; FUSION}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {bafaybishenko@lbl.gov}, Affiliations = {University of California System; University of California Berkeley; United States Department of Energy (DOE); Lawrence Berkeley National Laboratory}, ResearcherID-Numbers = {Faybishenko, Boris/G-3363-2015}, ORCID-Numbers = {Faybishenko, Boris/0000-0003-0085-8499}, Funding-Acknowledgement = {LBNL; DOE Advanced Fuel Cycle Initiative; Office of Science, Office of Biological and Environmental Remediation Sciences of the U.S. Department of Energy {[}DE-AC02-05CH11231]}, Funding-Text = {Critical and constructive comments of two anonymous reviewers, Stefan Finsterle of LBNL and Ming Ye of Florida State University are very much appreciated. Scott Ferson of Applied Biomathematics, the developer of the RAMAS Risk Calc code, provided a number of publications related to this software. This work was partially supported by the LBNL Laboratory Directed Research and Development Program, the Nuclear Energy Advanced Modeling and Simulation (NEAMS) program within the DOE Advanced Fuel Cycle Initiative, and the Director, Office of Science, Office of Biological and Environmental Remediation Sciences of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231 to Lawrence Berkeley National Laboratory.}, Cited-References = {Arora VK, 2002, J HYDROL, V265, P164, DOI 10.1016/S0022-1694(02)00101-4. BUDYKO MI, 1974, CLIMATE LIFE. Chang NB, 2005, STOCH ENV RES RISK A, V19, P97, DOI 10.1007/s00477-004-0217-1. Cooper JA, 1996, RISK ANAL, V16, P785, DOI 10.1111/j.1539-6924.1996.tb00829.x. DEMPSTER AP, 1967, ANN MATH STAT, V38, P325, DOI 10.1214/aoms/1177698950. {*}DOE, 1996, DOEEIS0189. 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Zadeh LotfiA., 1986, AI MAG, V7, P85.}, Number-of-Cited-References = {36}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {621SX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000279605300011}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000832955500006, Author = {Garai, Totan and Garg, Harish}, Title = {Multi-criteria decision making of water resource management problem (in Agriculture field, Purulia district) based on possibility measures under generalized single valued non-linear bipolar neutrosophic environment}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2022}, Volume = {205}, Month = {NOV 1}, Abstract = {Purulia district is a drought-prone area in West Bengal, India. Naturally, the farmers of the Purulia district could not plant the crops due to the absence of water resources. Water resource management (WRM) has the potential mechanism to address the available water resources. This paper developed a multi-criterion water resource management technique for defining the available water resources in the agriculture field. We have introduced a novel ranking method of generalized single-valued non-linear bipolar neutrosophic numbers based on possibility measures. Additionally, we have first defined the possibilistic mean of generalized single-valued non-linear bipolar neutrosophic number. Using the possibilistic mean, we have invented the positive and negative rank expositors (S mu+, S mu-) for authenticity, hesitate, and falsity membership function. In the present situation, water resource management in agriculture has become a big problem worldwide. Multi-criteria decision-making technique is necessary for developing this situation. Using the proposed multi-criteria decision-making method, we have solved a real water resource management problem in the Purulia district under GSVnTbN-environment. In this decision-making problem, we have considered the GSVnTbN-environment. Because during the summertime, water demand is very high, and at the end of summer, when monsoon season comes, water demand is deficient in the agriculture field of Purulia district. Sometimes the monsoon season, rainwater does not occur entirely. At that time, monsoon crop planting was tough in the agriculture field. So, this district's water scarcity nature is a non-linear and uncertain type of nature. Therefore, we proposed an MCDM method for water resource management problems under GSVnTbN-environment.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Garai, T (Corresponding Author), Syamsundar Coll, Dept Math, Purba Bardhaman 713424, W Bengal, India. Garai, Totan, Syamsundar Coll, Dept Math, Purba Bardhaman 713424, W Bengal, India. Garg, Harish, Thapar Inst Engn \& Technol Deemed Univ, Sch Math, Patiala 147004, Punjab, India.}, DOI = {10.1016/j.eswa.2022.117715}, EarlyAccessDate = {JUN 2022}, Article-Number = {117715}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Multi criteria decision making; Water resource management; Possibility measures; Generalized non-linear bipolar neutrosophic}, Keywords-Plus = {MEAN-VALUE; FUZZY; VARIANCE; OPERATORS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {garaitotan@gmail.com harish.garg@thapar.edu}, Affiliations = {Thapar Institute of Engineering \& Technology}, ResearcherID-Numbers = {Garai, Totan/F-4867-2019 Garg, Harish/C-6063-2012}, ORCID-Numbers = {Garai, Totan/0000-0002-0476-6447 }, Cited-References = {Agheli B, 2022, J STAT MANAG SYST, V25, P749, DOI 10.1080/09720510.2021.1891699. 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No.94TH8006), P305, DOI 10.1109/IJCF.1994.375115. Yilmaz B, 2010, WATER SA, V36, P563. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zarghaami M, 2007, WATER INT, V32, P280, DOI 10.1080/02508060708692207. Zavadskas EK, 2015, APPL SOFT COMPUT, V26, P180, DOI 10.1016/j.asoc.2014.09.019.}, Number-of-Cited-References = {56}, Times-Cited = {26}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {22}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {3I8JK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000832955500006}, DA = {2026-04-14}, } @article{ WOS:000338076100001, Author = {Chen, Wei and Ma, Hui and Yang, Yiping and Sun, Mengrong}, Title = {Application of Artificial Bee Colony Algorithm to Portfolio Adjustment Problem with Transaction Costs}, Journal = {JOURNAL OF APPLIED MATHEMATICS}, Year = {2014}, Abstract = {Compared with the conventional probabilistic mean-variance methodology, fuzzy number can better describe an uncertain environment with vagueness and ambiguity. In this paper, we discuss a portfolio adjusting problem under the assumption that the returns of risky assets are fuzzy numbers and there exist general transaction costs in portfolio adjusting process. In the proposed model, we take the first possibilistic moment about zero of a portfolio as the investment return and the second possibilistic moment about the possibilistic mean value of the portfolio as the investment risk. To solve the proposed model, a modified artificial bee colony (ABC) algorithm is developed for calculating the optimal portfolio adjusting strategy. Finally, a numerical example is given to illustrate the effectiveness of the proposed model and approach.}, Publisher = {WILEY}, Address = {111 RIVER ST, HOBOKEN 07030-5774, NJ USA}, Type = {Article}, Language = {English}, Affiliation = {Chen, W (Corresponding Author), Capital Univ Econ \& Business, Sch Informat, Beijing 100070, Peoples R China. Chen, Wei; Ma, Hui; Yang, Yiping; Sun, Mengrong, Capital Univ Econ \& Business, Sch Informat, Beijing 100070, Peoples R China.}, DOI = {10.1155/2014/192868}, Article-Number = {192868}, ISSN = {1110-757X}, EISSN = {1687-0042}, Keywords-Plus = {OPTIMIZATION; SELECTION; EFFICIENT; VARIANCE; MODEL; CONSTRAINTS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics, Interdisciplinary Applications}, Author-Email = {chenwei@cueb.edu.cn}, Affiliations = {Capital University of Economics \& Business}, Funding-Acknowledgement = {Humanity and Social Science Youth Foundation of the Ministry of Education of China {[}13YJC630012]; Training Programme Foundation for the Beijing Municipal Excellent Talents {[}2013D005019000007]; Beijing Natural Science Foundation {[}9122003, 9142003]; Beijing Philosophical Social Science Project {[}11JGB077]; National Natural Science Foundation {[}71240002]}, Funding-Text = {Objective value The authors thank Professor Zhijun Wu for his valuable comments and suggestions. Moreover, this research was supported by the Humanity and Social Science Youth Foundation of the Ministry of Education of China (no. 13YJC630012) and the Training Programme Foundation for the Beijing Municipal Excellent Talents (no. 2013D005019000007). The second author acknowledges the support of Beijing Natural Science Foundation (no. 9122003) and Beijing Philosophical Social Science Project (no. 11JGB077). The third author acknowledges the support of the National Natural Science Foundation (no. 71240002). The fourth author acknowledges the support of Beijing Natural Science Foundation (no. 9142003).}, Cited-References = {Akay B, 2012, INFORM SCIENCES, V192, P120, DOI 10.1016/j.ins.2010.07.015. Alatas B, 2010, EXPERT SYST APPL, V37, P5682, DOI 10.1016/j.eswa.2010.02.042. Alexander GJ, 2004, MANAGE SCI, V50, P1261, DOI 10.1287/mnsc.1040.0201. {[}Anonymous], 2005, TR06 ERS U. 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Yu L, 2008, COMPUT OPER RES, V35, P34, DOI 10.1016/j.cor.2006.02.012. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023. Zhang WG, 2004, APPL MATH COMPUT, V159, P357, DOI 10.1016/j.amc.2003.10.019. Zhang XL, 2010, COMPUT ECON, V36, P191, DOI 10.1007/s10614-010-9220-4.}, Number-of-Cited-References = {47}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {17}, Journal-ISO = {J. Appl. Math.}, Doc-Delivery-Number = {AK0AX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000338076100001}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000536807400013, Author = {Nematian, J.}, Title = {Reliable hub-and-spoke network design problems under uncertainty through multi-objective programming}, Journal = {IRANIAN JOURNAL OF FUZZY SYSTEMS}, Year = {2020}, Volume = {17}, Number = {4}, Pages = {179-198}, Month = {AUG}, Abstract = {HLP (hub location problem) tries to find locations of hub facilities and assignment of nodes to extended facilities. Hubs are facilities to collect, arrange, and distribute commodities in telecommunication networks, cargo delivery systems, etc. Hubs are very crucial and their inaccessibility impresses on network whole levels. In this paper, first, total reliability of the network is defined based on considering the reliability values of nubs and arcs. Then, a reliable huband-spoke network design problem under uncertainty is introduced through the multi - objective programming method in which the parameters are random fuzzy variables. Indeed, we are making effort to either maximize the average reliability or minimize total cost. Then, the proposed reliable multi - objective hub-and-spoke network design problem under uncertainty is solved by a new method using Zimmermann fuzzy multi - objective programming and random fuzzy chance-constrained programming based on possibility theory. Finally, some benchmark problems are solved as numerical examples to clarify the described method and show its efficiency.}, Publisher = {UNIV SISTAN \& BALUCHESTAN}, Address = {PO BOX 98135-987, ZAHEDAN, 00000, IRAN}, Type = {Article}, Language = {English}, Affiliation = {Nematian, J (Corresponding Author), Univ Tabriz, Dept Ind Engn, POB 51666-14766, Tabriz, Iran. Nematian, J., Univ Tabriz, Dept Ind Engn, POB 51666-14766, Tabriz, Iran.}, ISSN = {1735-0654}, Keywords = {Hub-and-Spoke; reliability; multi-objective programming; random fuzzy chance-constrained programming; possibility theory}, Keywords-Plus = {LOCATION-PROBLEMS; MODELS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {jnematian@tabrizu.ac.ir}, Affiliations = {University of Tabriz}, ResearcherID-Numbers = {nematian, javad/O-4729-2019}, Cited-References = {Alumur S, 2008, EUR J OPER RES, V190, P1, DOI 10.1016/j.ejor.2007.06.008. Alumur SA, 2012, TRANSPORT RES B-METH, V46, P529, DOI 10.1016/j.trb.2011.11.006. An Y, 2015, TRANSPORT RES B-METH, V77, P103, DOI 10.1016/j.trb.2015.02.006. Azizi N, 2016, COMPUT OPER RES, V65, P174, DOI 10.1016/j.cor.2014.05.012. BELLMAN RE, 1970, MANAGE SCI B-APPL, V17, pB141. Campbell J. F., 1992, Annals of Operations Research, V40, P77, DOI 10.1007/BF02060471. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {31}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {17}, Journal-ISO = {Iran. J. Fuzzy. Syst.}, Doc-Delivery-Number = {LT1AL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000536807400013}, DA = {2026-04-14}, } @article{ WOS:000354292300004, Author = {Upmanyu, Mudita and Saxena, Ratnesh R.}, Title = {ON SOLVING MULTI OBJECTIVE SET COVERING PROBLEM WITH IMPRECISE LINEAR FRACTIONAL OBJECTIVES}, Journal = {RAIRO-OPERATIONS RESEARCH}, Year = {2015}, Volume = {49}, Number = {3}, Pages = {495-510}, Month = {JUL-SEP}, Abstract = {The Set Covering problem is one the of most important NP-complete 0-1 integer programming problems because it serves as a model for many real world problems like the crew scheduling problem, facility location problem, vehicle routing etc. In this paper, an algorithm is suggested to solve a multi objective Set Covering problem with fuzzy linear fractional functionals as the objectives. The algorithm obtains the complete set of efficient cover solutions for this problem. It is based on the cutting plane approach, but employs a more generalized and a much deeper form of the Dantzig cut. The fuzziness in the problem lies in the coefficients of the objective functions. In addition, the ordering between two fuzzy numbers is based on the possibility and necessity indices introduced by Dubois and Prade {[}Ranking fuzzy numbers in the setting of possibility theory. Inf. Sci. 30 (1983) 183-224.]. Our aim is to develop a method which provides the decision maker with a fuzzy solution. An illustrative numerical example is elaborated to clarify the theory and the solution algorithm.}, Publisher = {EDP SCIENCES S A}, Address = {17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE}, Type = {Article}, Language = {English}, Affiliation = {Upmanyu, M (Corresponding Author), Univ Delhi, Dept Math, Delhi 110007, India. Upmanyu, Mudita, Univ Delhi, Dept Math, Delhi 110007, India. Saxena, Ratnesh R., Univ Delhi, Deen Dayal Upadhyaya Coll, Dept Math, Delhi 110007, India.}, DOI = {10.1051/ro/2014045}, ISSN = {0399-0559}, EISSN = {2804-7303}, Keywords = {Set covering Problem; multi objective linear fractional programming; fuzzy mathematical programming; fuzzy objective function}, Keywords-Plus = {ENUMERATION; OPTIMALITY}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Author-Email = {muditaupmanyu@gmail.com ratnesh65@gmail.com}, Affiliations = {University of Delhi; Deen Dayal Upadhyaya College; University of Delhi}, ResearcherID-Numbers = {Saxena, Ratnesh Rajan/T-2572-2019}, ORCID-Numbers = {Saxena, Ratnesh Rajan/0000-0001-9622-0814}, Funding-Acknowledgement = {CSIR (Council of Scientific and Industrial Research)}, Funding-Text = {The authors are grateful to the referees for their valuable comments and suggestions. The authors 1 are also thankful to CSIR (Council of Scientific and Industrial Research) for providing financial assistance for this paper.}, Cited-References = {{[}Anonymous], INDIAN J PURE APPL M. {[}Anonymous], 2013, INT J PURE APPL MATH, DOI DOI 10.12732/IJPAM.V84I5.3. {[}Anonymous], INT J ENG SOC SCI. {[}Anonymous], IJOMAS. {[}Anonymous], INT J PURE APPL MATH. {[}Anonymous], INT J RES IT MANAGEM. ARORA SR, 1977, Z ANGEW MATH MECH, V57, P597, DOI 10.1002/zamm.19770571006. ARORA SR, 1977, Z ANGEW MATH MECH, V57, P181, DOI 10.1002/zamm.19770570307. BELLMORE M, 1971, MANAGE SCI, V18, P194, DOI 10.1287/mnsc.18.3.194. BITRAN GR, 1973, OPER RES, V21, P22, DOI 10.1287/opre.21.1.22. Chakraborty M, 2002, FUZZY SET SYST, V125, P335, DOI 10.1016/S0165-0114(01)00060-4. CHOO EU, 1980, COMPUT OPER RES, V7, P81, DOI 10.1016/0305-0548(80)90016-7. DUBOIS D, 1983, INFORM SCIENCES, V30, P183, DOI 10.1016/0020-0255(83)90025-7. Dubois D., 1980, Fuzzy Sets and Systems: Theory and Applications. 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ZIONTS S, 1968, NAV RES LOGIST Q, V15, P449.}, Number-of-Cited-References = {27}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {13}, Journal-ISO = {Rairo-Oper. Res.}, Doc-Delivery-Number = {CH8NE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000354292300004}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000273329300013, Author = {Tan, Q. and Huang, G. H. and Cai, Y. P.}, Title = {Identification of optimal plans for municipal solid waste management in an environment of fuzziness and two-layer randomness}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2010}, Volume = {24}, Number = {1}, Pages = {147-164}, Month = {JAN}, Abstract = {A superiority-inferiority-based inexact fuzzy-stochastic chance-constrained programming (SI-IFSCCP) approach is developed for supporting long-term municipal solid waste management under uncertainty. Through SI-IFSCCP, multiple uncertainties expressed as intervals, possibilistic and probabilistic distributions, as well as their combinations, could be directly communicated into the optimization process, leading to enhanced system robustness. Through tackling fuzziness and two-layer randomness, various subjective judgments of many stakeholders with different interests and preferences could be extensively reflected, guaranteeing a lower degree of biases during data sampling and a higher degree of public acceptance for the generated plans. Two levels of system-violation risk could also be reflected by SI-IFSCCP, reflecting the relationship between economic efficiency and system reliability. A two-step solution method with improved computational efficiency is proposed for SI-IFSCCP. To demonstrate its applicability, the developed methodology is then applied to a long-term municipal solid waste management problem. Useful solutions have been generated. Satisfactory waste flow plans could be identified according to system conditions and policy inclination, supporting in-depth tradeoff analyses between system optimality and reliability as well as between economic and environmental objectives.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Huang, GH (Corresponding Author), Univ Regina, Fac Engn, Environm Syst Engn Program, Regina, SK S4S 0A2, Canada. Tan, Q.; Huang, G. H.; Cai, Y. P., Univ Regina, Fac Engn, Environm Syst Engn Program, Regina, SK S4S 0A2, Canada. Huang, G. H., Beijing Normal Univ, Chinese Res Acad Environm Sci, Beijing 100012, Peoples R China.}, DOI = {10.1007/s00477-009-0307-1}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Interval parameter; Fuzziness; Randomness; Uncertainty; Waste management}, Keywords-Plus = {ROBUST PROGRAMMING APPROACH; OPTIMIZATION-MODEL; UNCERTAINTY; INTERVAL; SYSTEMS}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {gordon.huang@uregina.ca}, Affiliations = {University of Regina; Beijing Normal University; Chinese Research Academy of Environmental Sciences}, ResearcherID-Numbers = {Huang, Guohe/H-5306-2011}, ORCID-Numbers = {Huang, Guohe/0000-0003-4974-3019}, Funding-Acknowledgement = {MOST {[}2005CB724200, 2006CB403307]; Natural Science and Engineering Research Council of Canada}, Funding-Text = {This research was supported by the Major State Basic Research Development Program of MOST (2005CB724200 and 2006CB403307) and the Natural Science and Engineering Research Council of Canada. The writers are extremely grateful to the editors and the anonymous reviewers for their insightful comments and suggestions.}, Cited-References = {Abou Najm M, 2002, WASTE MANAGE RES, V20, P37, DOI 10.1177/0734242X0202000105. BAETZ BW, 1990, CIVIL ENG SYST, V7, P229, DOI 10.1080/02630259008970594. Cai YP, 2009, ENG OPTIMIZ, V41, P399, DOI 10.1080/03052150802488381. Cai YP, 2009, RENEW SUST ENERG REV, V13, P721, DOI 10.1016/j.rser.2008.01.008. Cai YP, 2009, EXPERT SYST APPL, V36, P3470, DOI 10.1016/j.eswa.2008.02.036. Cai YP, 2007, ENVIRON ENG SCI, V24, P338, DOI 10.1089/ees.2005.0140. Chanas S, 2000, EUR J OPER RES, V121, P56, DOI 10.1016/S0377-2217(99)00011-9. Chang NB, 1997, EUR J OPER RES, V99, P303, DOI 10.1016/S0377-2217(96)00024-0. Charnes A., 1972, OPTIMIZING METHODS S, P391. Chiang JS, 2001, EUR J OPER RES, V129, P65, DOI 10.1016/S0377-2217(99)00404-X. Croft H.T., 1991, UNSOLVED PROBLEMS GE. ELLIS JH, 1991, APPL MATH MODEL, V15, P367. 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Risk Assess.}, Doc-Delivery-Number = {540KE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000273329300013}, DA = {2026-04-14}, } @article{ WOS:000332808200002, Author = {Coletti, G. and Scozzafava, R. and Vantaggi, B.}, Title = {Do inferential processes affect uncertainty frameworks?}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {239}, Number = {SI}, Pages = {3-20}, Month = {MAR 16}, Abstract = {This paper studies the connections among different (comparative or numerical) degrees of belief. In particular we consider, in turn, a comparative probability or possibility on a given Boolean algebra and we prove that their upper extensions to a different Boolean algebra are, respectively, a comparative plausibility or possibility. On the other hand, in general the upper extension of a comparative necessity is simply a comparative capacity. Moreover, by considering a suitable condition of weak logical independence between the two Boolean algebras, we prove that the upper ordinal relation is a comparative possibility in all the aforementioned cases. We consider specifically also the lower ordinal relations, since they may not be the comparative dual relation of the upper ones. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Vantaggi, B (Corresponding Author), Univ Roma La Sapienza, Dip Sci Base \& Applicate Ingn, Via Scarpa 16, I-00161 Rome, Italy. Coletti, G., Univ Perugia, Dip Matemat \& Informat, I-06100 Perugia, Italy. Scozzafava, R.; Vantaggi, B., Univ Roma La Sapienza, Dip Sci Base \& Applicate Ingn, I-00161 Rome, Italy.}, DOI = {10.1016/j.fss.2013.06.014}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Ordinal relations; Extendibility; Probability; Possibility theory}, Keywords-Plus = {CONDITIONAL MEASURES; ORDINAL RELATIONS; REPRESENTABILITY; PROBABILITIES; COHERENCE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {coletti@dmi.unipg.it romscozz@dmmm.uniroma1.it vantaggi@dmmm.uniroma1.it}, Affiliations = {University of Perugia; Sapienza University Rome}, ResearcherID-Numbers = {Coletti, Giulianella/N-4935-2014 }, ORCID-Numbers = {Coletti, Giulianella/0000-0002-0152-1735 Vantaggi, Barbara/0000-0002-3651-3743}, Funding-Acknowledgement = {Italian Ministry of Education, University and Research {[}2010FP79LR\_003]}, Funding-Text = {We thank the referees and the Associated Editors W. Liu and H. Prade for their valuable suggestions and comments. This work was partially supported by Italian Ministry of Education, University and Research funding of Research Projects of National Interest (PRIN 2010-11) under Grant 2010FP79LR\_003 ``Logical methods of information management{''}.}, Cited-References = {{[}Anonymous], FUZZY INFORM DECISIO. {[}Anonymous], P NAFIPS 2008. {[}Anonymous], P EUR SOC FUZZ LOG T. {[}Anonymous], NONADDITIVE MEASURE. {[}Anonymous], P IFAC S FUZZ INF KN. {[}Anonymous], 2000, The Handbooks of Fuzzy Sets. Baioletti M, 2011, INT J APPROX REASON, V52, P580, DOI 10.1016/j.ijar.2010.12.006. Baioletti M, 2011, FUZZY SET SYST, V169, P1, DOI 10.1016/j.fss.2011.01.001. Baroni P, 2005, INT J APPROX REASON, V40, P147, DOI 10.1016/j.ijar.2005.03.001. Capotorti A, 1998, KYBERNETIKA, V34, P79. Coletti G, 2006, INT J INTELL SYST, V21, P229, DOI 10.1002/int.20133. Coletti G, 2006, THEOR DECIS, V60, P137, DOI 10.1007/s11238-005-4570-4. 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WONG SKM, 1991, IEEE T SYST MAN CYB, V21, P726, DOI 10.1109/21.108290.}, Number-of-Cited-References = {37}, Times-Cited = {4}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {4}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AC8TR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000332808200002}, DA = {2026-04-14}, } @article{ WOS:000372728700010, Author = {Ahmadi, Ghazaleh and Torabi, S. Ali and Tavakkoli-Moghaddam, Reza}, Title = {A bi-objective location-inventory model with capacitated transportation and lateral transshipments}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2016}, Volume = {54}, Number = {7}, Pages = {2035-2056}, Month = {APR 2}, Abstract = {We integrate location and inventory decisions in a three-echelon distribution network model with multiple products, capacitated in-house fleet and proactive transshipments between depots. The problem was originally motivated by the real-life case of a leading company in consumers' household goods. The company offers a wide range of products which are different from demand pattern and shortage viewpoints. One of the product groups has seasonal trend with possibly lost sales during high seasons and backlog in low seasons, while the others lack any seasonal trend and get backlogged if any shortage occurs. A two-step process consisting of a new practical customer classification framework and a new mathematical model is developed. Total profit and customers' dissatisfaction in the form of a new service-level measure are considered as the objective functions. To study the effects of transportation capacity on the network's performance, a second scenario with inclusion of third-party transportation resources is presented. Due to unavailability or insufficiency of required objective data about production capacities and demands, they are assumed to be imprecise (i.e. possibilistic). After converting the original fuzzy model to its equivalent crisp formulation, an interactive solution procedure is applied to deal with the trade-off between the conflicting objectives. Useful managerial insights are also derived from the numerical experiments.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Torabi, SA (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Ahmadi, Ghazaleh; Torabi, S. Ali; Tavakkoli-Moghaddam, Reza, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1080/00207543.2015.1082042}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {multi-echelon location-inventory; transshipment; service level; multi-objective possibilistic programming}, Keywords-Plus = {FACILITY LOCATION; DISTRIBUTION NETWORK; OPTIMIZATION; SYSTEM; ALLOCATION; ALGORITHM}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {satorabi@ut.ac.ir}, Affiliations = {University of Tehran}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 Torabi, S. Ali/E-1078-2018}, ORCID-Numbers = {Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Torabi, S. Ali/0000-0002-9764-9679}, Cited-References = {Alvarez EM, 2014, EUR J OPER RES, V237, P824, DOI 10.1016/j.ejor.2014.02.053. 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Tai AH, 2014, INT J PROD ECON, V151, P48, DOI 10.1016/j.ijpe.2014.01.010. Tancrez JS, 2012, TRANSPORT RES E-LOG, V48, P485, DOI 10.1016/j.tre.2011.10.005. Tiacci L, 2011, INT J PROD ECON, V131, P87, DOI 10.1016/j.ijpe.2010.04.034. Torabi SA, 2008, FUZZY SET SYST, V159, P193, DOI 10.1016/j.fss.2007.08.010. Torabi SA, 2015, TRANSPORT RES E-LOG, V79, P128, DOI 10.1016/j.tre.2015.04.004. Torabi SA, 2012, INT J PROD RES, V50, P1726, DOI 10.1080/00207543.2011.560907. van Wijk ACC, 2012, EUR J OPER RES, V218, P624, DOI 10.1016/j.ejor.2011.12.004. Wheatley D, 2015, OMEGA-INT J MANAGE S, V55, P10, DOI 10.1016/j.omega.2015.02.001. Yang L, 2010, EUR J OPER RES, V201, P112, DOI 10.1016/j.ejor.2009.02.006.}, Number-of-Cited-References = {46}, Times-Cited = {32}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {48}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {DH4AU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000372728700010}, DA = {2026-04-14}, } @article{ WOS:000233156900006, Author = {Fung, RYK and Chen, YZ and Tang, JF}, Title = {Estimating the functional relationships for quality function deployment under uncertainties}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2006}, Volume = {157}, Number = {1}, Pages = {98-120}, Month = {JAN 1}, Abstract = {Product planning is one of four important processes in new product development (NPD) using quality function deployment (QFD), which is a widely used customer-driven approach. In our opinion, the first problem to be solved is how to incorporate both qualitative and quantitative information regarding relationships between customer requirements (CRs) and engineering characteristics (ECs) as well as those among ECs into the problem formulation. Owing to the typical vagueness or imprecision of functional relationships in a product, product planning is becoming more difficult, particularly in a fuzzy environment. In this paper, an asymmetric fuzzy linear regression approach is proposed to estimate the functional relationships for product planning based on QFD. Firstly, by integrating the least-squares regression into fuzzy linear regression, a pair of hybrid linear programming models with asymmetric triangular fuzzy coefficients are developed to estimate the functional relationships for product planning under uncertainties. Secondly, using the basic concept of fuzzy regression, asymmetric triangular fuzzy coefficients are extended to asymmetric trapezoidal fuzzy coefficients, and another pair of hybrid linear programming models with asymmetric trapezoidal fuzzy coefficients is proposed. The main advantage of these hybrid-programming models is to integrate both the property of central tendency in least squares and the possibilistic property in fuzzy regression. Next, the illustrated example shows that trapezoidal fuzzy number coefficients have more flexibility to handle a wider variety of systematic uncertainties and ambiguities that cannot be modeled efficiently using triangular number fuzzy coefficients. Both asymmetric triangular and trapezoidal fuzzy number coefficients can be applicable to a much wider variety of design problems where uncertain, qualitative, and fuzzy relationships are involved than when symmetric triangular fuzzy numbers are used. Finally, future research direction is also discussed. (C) 2005 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Chen, YZ (Corresponding Author), City Univ Hong Kong, Dept Mfg Engn \& Engn Management, Tat Chee Ave, Kong Loon, Hong Kong, Peoples R China. City Univ Hong Kong, Dept Mfg Engn \& Engn Management, Kong Loon, Hong Kong, Peoples R China. Northeastern Univ, Sch Informat Sci \& Engn, Key Lab Proc Ind Automat MOE, Shenyang, Liaoning, Peoples R China.}, DOI = {10.1016/j.fss.2005.05.032}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {product planning; quality function deployment; house of quality; fuzzy linear regression; least-squares regression; asymmetric triangular fuzzy number; trapezoidal fuzzy number}, Keywords-Plus = {CUSTOMER REQUIREMENTS; FUZZY REGRESSION; DESIGN; FRAMEWORK; MODELS; LOGIC; HOUSE; QFD}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {zhycyz@yahoo.com.cn}, Affiliations = {City University of Hong Kong; Northeastern University - China}, ResearcherID-Numbers = {Fung, Richard Y. K/M-3040-2019}, ORCID-Numbers = {Fung, Richard Y. K/0000-0002-3215-1992}, Cited-References = {Akao Y., 1990, QUALITY FUNCTION DEP. 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Zhou M, 1998, COMPUT IND ENG, V35, P237, DOI 10.1016/S0360-8352(98)00073-4.}, Number-of-Cited-References = {28}, Times-Cited = {96}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {982KK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000233156900006}, DA = {2026-04-14}, } @article{ WOS:000521967100001, Author = {Hao, Pei-Yi}, Title = {Dual possibilistic regression analysis using support vector networks}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2020}, Volume = {387}, Pages = {1-34}, Month = {MAY 15}, Abstract = {This study proposes a novel and efficient dual regression model for possibilistic regression analysis that incorporates the principles of support vector machine (SVM) theory. The dual regression model, which comprises an upper model and a lower model, approximates the observed fuzzy phenomena from the outside and inside directions, respectively, such that the inclusion relationship between those two models holds. The proposed dual regression model better explains the inherent vagueness that exists in a given dataset. It provides the outer and inner bounds for the estimated vagueness region, and allows an estimation of the degree of confidence in the predicted fuzzy output. Using the principles for a twin support vector machine (TSVM), the upper- and lower models are estimated by solving two smaller SVM-type quadratic programming problems (QPPs), instead of a single larger QPP. This strategy significantly increases the learning speed for the proposed algorithm. The structural risk minimization principle of SVM makes the proposed method to yield better generalization ability. The kernel function method offers a model-independent framework for the proposed dual regression model. This paper focuses on the class of radial kernels, which enables the proposed method to conquer the problem of increasing spreads. The radial kernel also gives the proposed method a unified framework that allows both crisp and fuzzy inputs. The experimental results verify the effectiveness and efficiency of the proposed method. In comparison with previous SVM-based dual regression model, the proposed approach significantly improves the sparsity, prediction speed, and training speed. (C) 2019 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Hao, PY (Corresponding Author), Natl Kaohsiung Univ Sci \& Technol, Dept Informat Management, 415 Chien Kung Rd, Kaohsiung 807, Taiwan. Hao, Pei-Yi, Natl Kaohsiung Univ Sci \& Technol, Dept Informat Management, 415 Chien Kung Rd, Kaohsiung 807, Taiwan.}, DOI = {10.1016/j.fss.2019.03.012}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy regression analysis; Dual regression models; Trapezoid fuzzy numbers; Support vector machines; Support vector regression machines; Quadratic programming problem}, Keywords-Plus = {FUZZY; INPUT; MODEL; CLASSIFICATION; MACHINE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {haupy@cc.kuas.edu.tw}, Affiliations = {National Kaohsiung University of Science \& Technology}, ResearcherID-Numbers = {Hao, Pei-Yi/HNS-2734-2023}, ORCID-Numbers = {Hao, Pei-Yi/0000-0003-3300-3710}, Funding-Acknowledgement = {Ministry of Science and Technology of Taiwan {[}MOST 107-2221-E-992-072]}, Funding-Text = {This research work was supported in part by the Ministry of Science and Technology of TaiwanResearch Grant MOST 107-2221-E-992-072.}, Cited-References = {{[}Anonymous], INT J INNOVATIVE RES. 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Vapnik V., 1999, The Nature of Statistical Learning Theory, DOI {[}DOI 10.1007/978-1-4757-2440-0, DOI 10.1007/978-1-4757-3264-1]. Wu Q, 2011, EXPERT SYST APPL, V38, P12028, DOI 10.1016/j.eswa.2011.01.054. Xu YT, 2017, IEEE T NEUR NET LEAR, V28, P359, DOI 10.1109/TNNLS.2015.2513006. Yan HS, 2007, IEEE T NEURAL NETWOR, V18, P721, DOI 10.1109/TNN.2007.894080. Yang MS, 2002, FUZZY SET SYST, V126, P389, DOI 10.1016/S0165-0114(01)00066-5. Zhao WQ, 2015, IEEE T FUZZY SYST, V23, P627, DOI 10.1109/TFUZZ.2014.2321594.}, Number-of-Cited-References = {47}, Times-Cited = {11}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {KX6CL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000521967100001}, DA = {2026-04-14}, } @article{ WOS:000280844700001, Author = {Sirbiladze, Gia}, Title = {Fuzzy identification problem for continuous extremal fuzzy dynamic system}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2010}, Volume = {9}, Number = {3}, Pages = {233-274}, Month = {SEP}, Abstract = {This work deals with the problems of the Continuous Extremal Fuzzy Dynamic System (CEFDS) optimization and briefly discusses the results developed by Sirbiladze (Int J Gen Syst 34(2):107-138, 2005a; 34(2):139-167, 2005b; 34(2):169-198, 2005c; 35(4):435-459, 2006a; 35(5):529-554, 2006b; 36(1): 19-58, 2007; New Math Nat Comput 4(1):41-60, 2008a; Mat Zametki, 83(3):439-460, 2008b). The basic properties of extended extremal fuzzy measures and Sugeno's type integrals are considered and several variants of their representation are given. Values of extended extremal conditional fuzzy measures are defined as a levels of expert knowledge reflections of CEFDS states in the fuzzy time intervals. The notions of extremal fuzzy time moments and intervals are introduced and their monotone algebraic structures that form the most important part of the fuzzy instrument of modeling extremal fuzzy dynamic systems are discussed. A new approach in modeling of CEFDS is developed. Applying the results of Sirbiladze (Int J Gen Syst 34(2) 107-138, 2005a; 34(2):139-167, 2005b), fuzzy processes with possibilistic uncertainty, the source of which are expert knowledge reflections on the states on CEFDS in extremal fuzzy time intervals, are constructed (Sirbiladze in Int J Gen Syst 34(2):169-198, 2005c). The dynamics of CEFDS's is described. Questions of the ergodicity of CEFDS are considered. A fuzzy-integral representation of a continuous extremal fuzzy process is given. Based on the fuzzy-integral model, a method and an algorithm are developed for identifying the transition operator of CEFDS. The CEFDS transition operator is restored by means of expert data with possibilistic uncertainty, the source of which is expert knowledge reflections on the states of CEFDS in the extremal fuzzy time intervals. The regularization condition for obtaining quasi-optimal estimator of the transition operator is represented by the theorems. The corresponding calculating algorithm is provided. The results obtained are illustrated by an example in the case of a finite set of CEFDS states.}, Publisher = {SPRINGER}, Address = {233 SPRING ST, NEW YORK, NY 10013 USA}, Type = {Article}, Language = {English}, Affiliation = {Sirbiladze, G (Corresponding Author), I Javakhishvili Tbilisi State Univ, Dept Comp Sci, 2 Univ St, GE-0143 Tbilisi, Georgia. I Javakhishvili Tbilisi State Univ, Dept Comp Sci, GE-0143 Tbilisi, Georgia.}, DOI = {10.1007/s10700-010-9081-2}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Sugeno's type extremal fuzzy measures and integrals; Extremal fuzzy time intervals; CEFDS; Identification of the CEFDS model}, Keywords-Plus = {PART II; ENVIRONMENT; AVERAGES}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {gia.sirbiladze@tsu.ge}, Affiliations = {Ivane Javakhishvili Tbilisi State University}, Funding-Acknowledgement = {Georgian National Science Foundation {[}GNSF/ST08/1-361]}, Funding-Text = {The designated project has been fulfilled by financial support of the Georgian National Science Foundation (Grant \#GNSF/ST08/1-361).}, Cited-References = {{[}Anonymous], 1992, FUZZY MEASURE THEORY. {[}Anonymous], SOFT COMPUTING RISK. {[}Anonymous], FUZZY OPTIMIZATION D. 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Mak.}, Doc-Delivery-Number = {637UR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000280844700001}, DA = {2026-04-14}, } @article{ WOS:001583846100014, Author = {Hosseini-Motlagh, Seyyed-Mahdi and Samani, Mohammad Reza Ghatreh and Kordhaghi, Hannaneh}, Title = {A possibilistic programming approach in an integrated fuzzy periodic review model and clustering strategy for optimizing platelet supply chain}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2026}, Volume = {298}, Number = {A}, Month = {MAR 1}, Abstract = {Managing platelet supply chains poses significant challenges due to the product's short shelf life, highly uncertain demand, and the critical nature of its medical use. Previous studies in the blood supply chain rely on fixed-order quantities and ignore collaborative inventory-sharing strategies, which can lead to either excessive waste or severe shortages. However, in many real-world situations, fixed order quantities are often insufficient to accommodate fluctuating demand, especially in healthcare systems. Moreover, existing distribution models in the literature often overlook the equitable allocation of services across hospitals, leading to disparities in access to critical healthcare resources. This study proposes a novel two-phase decision-making framework that integrates a fuzzy periodic review inventory model with a cluster-based reactive transshipment strategy to optimize platelet supply and distribution. In Phase I, a fuzzy periodic review model determines optimal order quantities under uncertain demand using a possibilistic chance-constrained programming approach. In Phase II, hospitals are clustered based on service levels, enabling equitable transshipment among facilities to reduce disparities and improve overall responsiveness. A real-world case study from Tehran province is used to evaluate the model's effectiveness. Results show an approximate 6\% reduction in total shortages and a 2\% improvement in average service levels. The proposed framework offers actionable insights for healthcare managers aiming to enhance resilience, equity, and efficiency in critical medical supply chains.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran. Hosseini-Motlagh, Seyyed-Mahdi; Kordhaghi, Hannaneh, Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran. Samani, Mohammad Reza Ghatreh, Tarbiat Modares Univ, Fac Ind \& Syst Engn, Jalal Ale Ahmad, Tehran, Iran.}, DOI = {10.1016/j.eswa.2025.129539}, EarlyAccessDate = {SEP 2025}, Article-Number = {129539}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Blood supply chain; Inventory management; Fuzzy period review; Reactive transshipment; Service level; Possibilistic programming}, Keywords-Plus = {INVENTORY MANAGEMENT; NETWORK DESIGN; OPTIMIZATION MODEL; BLOOD; DEMAND; GREEN}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {motlagh@iust.ac.ir samani@modares.ac.ir hannaneh\_kordhaghi@ind.iust.ac.ir}, Affiliations = {Iran University Science \& Technology; Tarbiat Modares University}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Samani, Mohammad/AAS-3972-2021}, ORCID-Numbers = {Kordhaghi, Hannaneh/0009-0009-0052-2670 }, Cited-References = {Aghsami A, 2023, EXPERT SYST APPL, V215, DOI 10.1016/j.eswa.2022.119360. 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Zhou YF, 2021, APPL SOFT COMPUT, V106, DOI 10.1016/j.asoc.2021.107364.}, Number-of-Cited-References = {59}, Times-Cited = {2}, Usage-Count-Last-180-days = {7}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {8AF5W}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001583846100014}, DA = {2026-04-14}, } @article{ WOS:A1994NM73400001, Author = {LAI, YJ and CHANG, SJ}, Title = {A FUZZY APPROACH FOR MULTIRESPONSE OPTIMIZATION - AN OFF-LINE QUALITY ENGINEERING PROBLEM}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1994}, Volume = {63}, Number = {2}, Pages = {117-129}, Month = {APR 25}, Abstract = {Multiresponse optimization techniques are used to identify settings of process parameters that make the product's performance close to target values in the presence of multiple quality characteristics. In this study, a fuzzy multiresponse optimization procedure is proposed to search an appropriate combination of process parameter settings based on multiple quality characteristics or responses. Fuzzy regression models are first used to model the relations between process parameters and responses. The possibility distributions of the prediction responses are then obtained. The problem is reduced to a multiobjective optimization problem with fuzzy objectives. A strategy of optimizing the most possible response values and minimizing the deviations from the most possible values is proposed. We consider not only the most possible value, but also the imprecision of the prediction responses. Through a die casting example, we show how to use our approach to reach an appropriate machine setting which simultaneously optimize both casting quality and die life.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {LAI, YJ (Corresponding Author), KANSAS STATE UNIV AGR \& APPL SCI,DEPT IND ENGN,MANHATTAN,KS 66506, USA.}, DOI = {10.1016/0165-0114(94)90343-3}, ISSN = {0165-0114}, Keywords = {FUZZY MULTIRESPONSE OPTIMIZATION; OFF-LINE QUALITY CONTROL; PROCESS CONTROL; POSSIBILISTIC MATHEMATICAL PROGRAMMING; MULTIPLE OBJECTIVE DECISION MAKING; FUZZY REGRESSION}, Keywords-Plus = {LEAST-SQUARES; REGRESSION ANALYSIS; MODELS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, ResearcherID-Numbers = {Chang, Shing/IUQ-7440-2023}, ORCID-Numbers = {Chang, Shing/0000-0003-4705-8376}, Cited-References = {ANDRESEN WT, 1989, 15TH INT DIE CAST C. {[}Anonymous], FUZZY LOGIC KNOWLEDG. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {37}, Times-Cited = {61}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {NM734}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1994NM73400001}, DA = {2026-04-14}, } @article{ WOS:000185638500011, Author = {León, T and Liern, V and Ruiz, JL and Sirvent, I}, Title = {A fuzzy mathematical programming approach to the assessment of efficiency with DEA models}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2003}, Volume = {139}, Number = {2}, Pages = {407-419}, Month = {OCT 16}, Abstract = {In many real applications, the data of production processes cannot be precisely measured. This is particularly worrying when assessing efficiency with frontier-type models, such as data envelopment analysis (DEA) models, since they are very sensitive to possible data errors. For this reason, the possibility of having available a methodology that allows the analyst to deal with imprecise data becomes an issue of great interest in these contexts. To that end, we develop some fuzzy versions of the classical DEA models (in particular, the BCC model) by using some ranking methods based on the comparison of a-cuts. The resulting auxiliary crisp problems can be solved by the usual DEA software. We show, in a numerical example, how our models become specially useful for detecting sensitive decision-making units. Our approaches can be seen as an extension of the DEA methodology that provides users and practitioners with models which represent some real life processes more appropriately. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liern, V (Corresponding Author), Univ Valencia, Dept Estadist \& Invest Operat, C Dr Moliner,50 Burjassot, E-46100 Valencia, Spain. Univ Valencia, Dept Estadist \& Invest Operat, E-46100 Valencia, Spain. Univ Valencia, Dept Econ Financiera \& Matemat, Valencia 46071, Spain. Univ Miguel Hernandez, Ctr Invest Operat, Alicante 03202, Spain.}, DOI = {10.1016/S0165-0114(02)00608-5}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {data envelopment analysis; fuzzy mathematical programming; fuzzy intervals; possibilistic programming}, Keywords-Plus = {TECHNICAL EFFICIENCY; REASONABLE PROPERTIES; OPTIMIZATION; EXTENSION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {teresa.leon@uv.es vicente.liern@uv.es jlruiz@umh.es isirvent@umh.es}, Affiliations = {University of Valencia; University of Valencia; Universidad Miguel Hernandez de Elche}, ResearcherID-Numbers = {Ruiz, José L/ABE-7333-2021 Sirvent, Inmaculada/ABE-3714-2021 León, Teresa/B-5844-2008 LIERN, VICENTE/GZN-2327-2022}, ORCID-Numbers = {Ruiz, José L/0000-0001-5755-2269 Sirvent, Inmaculada/0000-0001-5509-9261 León, Teresa/0000-0001-5171-4159 LIERN, VICENTE/0000-0001-5883-9640}, Cited-References = {BANKER RD, 1984, MANAGE SCI, V30, P1078, DOI 10.1287/mnsc.30.9.1078. 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ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470.}, Number-of-Cited-References = {33}, Times-Cited = {146}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {16}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {727CK}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000185638500011}, DA = {2026-04-14}, } @article{ WOS:A1992JL89400019, Author = {MIYOSHI, T and FUKAMI, S and KOYAMA, H and UMANO, M}, Title = {MANAGEMENT OF UNCERTAINTY IN LIFE FESHELL FUZZY FRAME SYSTEM}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {1992}, Volume = {5}, Number = {3-4}, Pages = {359-368}, Abstract = {LIFE FEShell is a fuzzy expert system shell that handles several kinds of uncertainty. LIFE FEShell is based on fuzzy logic, possibility theory, fuzzy measures and the fuzzy integral and is constructed in four parts: Fuzzy Production System (FPS), Fuzzy Frame System (FFS), FPS Object Editor (FPOE), and Fuzzy Frame Editor (FFE). We are now developing a few expert systems on LIFE FEShell to study and solve problems that are likely to arise during the implementation of these systems. In this paper, we present an analysis of uncertainty in the frame system and show details of the LIFE FEShell Fuzzy Frame System and its handling of uncertainty. LIFE FEShell FFS allows linguistic representations in data and evaluation functions and handles its hierarchical definitions to accommodate their linguistic polysemy. Data may be set not only with crisp values, but also using possibility distributions as slot values, data grades, and link grades.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {MIYOSHI, T (Corresponding Author), LAB INT FUZZY ENGN RES, 89-1 YAMASHITA CHO NAKA KU, YOKOHAMA 231, JAPAN. OSAKA UNIV, SUITA, OSAKA 565, JAPAN.}, DOI = {10.1016/0957-4174(92)90019-O}, ISSN = {0957-4174}, EISSN = {1873-6793}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Affiliations = {University of Osaka}, Cited-References = {BOWEN J, 1990, FUZZY SET SYST, V34, P263, DOI 10.1016/0165-0114(90)90215-R. BUCKLEY JJ, 1986, FUZZY LOGICS KNOWLED, P256. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {18}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {JL894}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1992JL89400019}, DA = {2026-04-14}, } @article{ WOS:001276513600001, Author = {Cardenas-Viedma, Maria-Antonia}, Title = {Adding a Degree of Certainty to Deductions in a Fuzzy Temporal Constraint Prolog: FTCProlog}, Journal = {AXIOMS}, Year = {2024}, Volume = {13}, Number = {7}, Month = {JUL}, Abstract = {The management of time is essential in most AI-related applications. In addition, we know that temporal information is often not precise. In fact, in most cases, it is necessary to deal with imprecision and/or uncertainty. On the other hand, there is the need to handle the implicit common-sense information present in many temporal statements. In this paper, we present FTCProlog, a logic programming language capable of handling fuzzy temporal constraints soundly and efficiently. The main difference of FTCProlog with respect to its predecessor, PROLogic, is its ability to associate a certainty index with deductions obtained through SLD-resolution. This resolution is based on a proposal within the theoretical logical framework FTCLogic. This model integrates a first-order logic based on possibilistic logic with the Fuzzy Temporal Constraint Networks (FTCNs) that allow efficient time management. The calculation of the certainty index can be useful in applications where one wants to verify the extent to which the times elapsed between certain events follow a given temporal pattern. In this paper, we demonstrate that the calculation of this index respects the properties of the theoretical model regarding its semantics. FTCProlog is implemented in Haskell.}, Publisher = {MDPI}, Address = {MDPI AG, Grosspeteranlage 5, CH-4052 BASEL, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Cárdenas-Viedma, MA (Corresponding Author), Univ Murcia, Fac Comp Sci, Campus Espinardo, Murcia 30100, Spain. Cardenas-Viedma, Maria-Antonia, Univ Murcia, Fac Comp Sci, Campus Espinardo, Murcia 30100, Spain.}, DOI = {10.3390/axioms13070472}, Article-Number = {472}, EISSN = {2075-1680}, Keywords = {temporal reasoning; approximate reasoning; logic programming; possibilistic logic; possibility and necessity degree; temporal Prolog; fuzzy temporal constraint}, Keywords-Plus = {SYSTEM}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {mariancv@um.es}, Affiliations = {University of Murcia}, ResearcherID-Numbers = {Cárdenas-Viedma, María Antonia/MBW-2112-2025}, ORCID-Numbers = {Cárdenas-Viedma, María Antonia/0000-0002-8464-350X}, Funding-Acknowledgement = {CONFAINCE project {[}PID2021-122194OB-I00]; MCIN/AEI; ERDF A way of making Europe; European Union; European Union NextGenerationEU/PRTR}, Funding-Text = {This work was partially funded by the CONFAINCE project (Ref:PID2021-122194OB-I00) by MCIN/AEI/10.13039/501100011033 and by ``ERDF A way of making Europe{''}, by the ``European Union{''} or by the ``European Union NextGenerationEU/PRTR{''}.}, Cited-References = {ABADI M, 1989, J SYMB COMPUT, V8, P277, DOI 10.1016/S0747-7171(89)80070-7. 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Zheng YH, 2022, IEEE T FUZZY SYST, V30, P2783, DOI 10.1109/TFUZZ.2021.3062899.}, Number-of-Cited-References = {43}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Axioms}, Doc-Delivery-Number = {ZP5N0}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001276513600001}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000371317300011, Author = {Wang, Xingwei and Yang, Hao and Cai, Yanpeng and Yu, Chunxue and Yue, Wencong}, Title = {Identification of optimal strategies for agricultural nonpoint source management in Ulansuhai Nur watershed of Inner Mongolia, China}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2016}, Volume = {30}, Number = {1}, Pages = {137-153}, Month = {JAN}, Abstract = {In this study, an environmental-friendly modeling system was developed and applied to an agriculture nonpoint source (AGNPS) management in Ulansuhai Nur watershed. In this system, water environmental capacity, credibility-based chance-constrained programming (CCCP), and AGNPS optimization models were integrated into a general modeling framework. It could be used to calculate water environmental capacity of total nitrogen and total phosphorus in Ulansuhai Nur watershed, which could consequentially provide input data for the developed AGNPS optimization model. Also, the inherent uncertainties in estimating water environmental capacities that can be expressed as possibilistic distributions were reflected and addressed based on computational results of three widely used methods. Such uncertainties were consequentially transferred to the proposed CCCP model based on the adoption of multiple credibility satisfactory levels, significantly facilitating objectivity reflection of decision alternatives. The developed modeling system was then applied to Ulansuhai Nur watershed of Inner Mongolia, a semi-arid river basin in northwestern China. Optimal strategies for AGNPS management in Ulansuhai Nur watershed were generated with consideration of the maximum total agricultural income under multiple policy scenarios. The results showed that the total agricultural income would increase with point source pollution being cut down, and would decrease with rising credibility levels, representing decreasing system violation risks. It was indicated that the higher of total nitrogen/phosphorus discharge being less than water environmental capacity of Ulansuhai Nur, the lower the total agriculture incomes. The proposed methods could help decision makers establish various production patterns with cost-effective agriculture nonpoint source management schemes in the basin of Ulansuhai Nur, and gain in-depth insights into the tradeoffs between total agricultural incomes and system reliabilities.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Cai, YP (Corresponding Author), Beijing Normal Univ, State Key Lab Water Environm Simulat, Sch Environm, Beijing 100875, Peoples R China. Wang, Xingwei, Beijing Normal Univ, Key Lab Water \& Sediment Sci, Minist Educ, Sch Environm, Beijing 100875, Peoples R China. Yang, Hao, Beijing Normal Univ, Sch Govt, Beijing 100875, Peoples R China. Cai, Yanpeng; Yue, Wencong, Beijing Normal Univ, State Key Lab Water Environm Simulat, Sch Environm, Beijing 100875, Peoples R China. Cai, Yanpeng, Sichuan Univ, State Key Lab Hydraul \& Mt River Engn, Chengdu 610065, Peoples R China. Yu, Chunxue, Beijing Normal Univ, State Key Lab Water Environm Simulat \& Pollut Con, Sch Environm, Beijing 100875, Peoples R China.}, DOI = {10.1007/s00477-015-1043-3}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {Agricultural nonpoint pollution sources; Credibility level; Optimization modeling; Water quality management; Ulansuhai Nur watershed}, Keywords-Plus = {SOURCE POLLUTION; ENVIRONMENTAL CAPACITY; QUALITY MANAGEMENT; PROGRAMMING APPROACH; MODEL; LAKE; IRRIGATION; SYSTEM; WULIANGSU; AREAS}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {yanpeng.cai@bnu.edu.cn}, Affiliations = {Beijing Normal University; Beijing Normal University; Beijing Normal University; Sichuan University; Beijing Normal University}, ResearcherID-Numbers = {WANG, XINGWEI/PQA-2651-2026}, Funding-Acknowledgement = {National Science Foundation for Innovative Research Group {[}51121003]; special fund of State Key Lab of Water Environment Simulation {[}11Z01ESPCN]}, Funding-Text = {This research was supported by the National Science Foundation for Innovative Research Group (No. 51121003), and the special fund of State Key Lab of Water Environment Simulation (11Z01ESPCN). 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Zhang XY, 2010, J ENVIRON QUAL, V39, P76, DOI 10.2134/jeq2008.0496. Zhu DN, 2014, HYDROGEOL J, V22, P1101, DOI 10.1007/s10040-014-1116-2. Zhu YH, 2010, WATER RESOUR MANAG, V24, P1089, DOI 10.1007/s11269-009-9487-1.}, Number-of-Cited-References = {54}, Times-Cited = {17}, Usage-Count-Last-180-days = {5}, Usage-Count-Since-2013 = {78}, Journal-ISO = {Stoch. Environ. Res. Risk Assess.}, Doc-Delivery-Number = {DF4KP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000371317300011}, DA = {2026-04-14}, } @article{ WOS:000336946000008, Author = {Zhang, Wei-Guo and Liu, Yong-Jun and Xu, Wei-Jun}, Title = {A new fuzzy programming approach for multi-period portfolio optimization with return demand and risk control}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2014}, Volume = {246}, Pages = {107-126}, Month = {JUL 1}, Abstract = {This paper considers a multi-period portfolio selection problem imposed by return demand and risk control in a fuzzy investment environment, in which the returns of assets are characterized by fuzzy numbers. A fuzzy lower semi-deviation is originally defined as the risk control of portfolio. A proportion entropy constraint is added as the divergence measure of portfolio. Based on the theories of possibility and necessity measures, a new multi-period portfolio optimization model with return demand and risk control is proposed. And then, the proposed model is transformed into a crisp nonlinear programming problem by using fuzzy programming approach. Furthermore, an improved differential evolution algorithm is designed for obtaining the optimal strategy. Finally, a numerical example is given to illustrate the practicality and efficiency of the proposed model and the corresponding algorithm. Crown Copyright (c) 2013 Published by Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), S China Univ Technol, Sch Business \& Adm, Guangzhou 510641, Guangdong, Peoples R China. Zhang, Wei-Guo; Liu, Yong-Jun; Xu, Wei-Jun, S China Univ Technol, Sch Business \& Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1016/j.fss.2013.09.002}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Finance; Multi-period portfolio selection; Fuzzy mathematical programming; Possibility measure; Necessity measure; Differential evolution algorithm}, Keywords-Plus = {MEAN-VARIANCE FORMULATION; SELECTION PROBLEM; NUMBERS; MODEL; BANKRUPTCY; PARAMETERS; POLICIES; UTILITY}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {liuyongjun0202@yahoo.com.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}70825005]; National Social Science Foundation of China {[}11ZD156]; GDUPS; Fundamental Research Funds for the Central Universities {[}X2gsD2117710]}, Funding-Text = {We would like to thank the Editor and the anonymous reviewers for their penetrating remarks and suggestions, which led to an improved version of this paper. This research was supported by the National Natural Science Foundation of China (No. 70825005), the National Social Science Foundation of China (No. 11\&ZD156), GDUPS(2010) and the Fundamental Research Funds for the Central Universities (X2gsD2117710).}, Cited-References = {Bäuerle N, 2004, IEEE T AUTOMAT CONTR, V49, P442, DOI 10.1109/TAC.2004.824471. Bertsimas D, 2008, COMPUT OPER RES, V35, P3, DOI 10.1016/j.cor.2006.02.011. Çakmak U, 2006, MATH METHOD OPER RES, V63, P151, DOI 10.1007/s00186-005-0020-x. Calafiore GC, 2008, AUTOMATICA, V44, P2463, DOI 10.1016/j.automatica.2008.02.007. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. Costa OLV, 2008, AUTOMATICA, V44, P2487, DOI 10.1016/j.automatica.2008.02.014. Dantzig G. B., 1993, Annals of Operations Research, V45, P59, DOI 10.1007/BF02282041. Deb K, 2000, COMPUT METHOD APPL M, V186, P311, DOI 10.1016/S0045-7825(99)00389-8. 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Zou DX, 2011, COMPUT MATH APPL, V61, P1608, DOI 10.1016/j.camwa.2011.01.029.}, Number-of-Cited-References = {45}, Times-Cited = {50}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {53}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {AI5YD}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000336946000008}, DA = {2026-04-14}, } @article{ WOS:001032962800002, Author = {Yu, Xing and Liu, Chenya and Zhang, Weiguo}, Title = {Hedging Salmon Price Risk Based on Fuzzy Copula-GMM Model}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2025}, Volume = {24}, Number = {04}, Pages = {1221-1246}, Month = {MAY}, Abstract = {Copula method can explain the dependent function or connection function which connects the joint distribution and the univariate marginal distribution. Therefore, copula has recently become a most significant important tool in the financial field of risk management, portfolio allocation, and derivative asset pricing. However, it leads to a possibilistic uncertainty in estimating the parameters of copulas because of insufficient historical data, imprecise parameter estimation, and uncertain knowledge of future prices. This paper proposes a fuzzy copula model via Kullback-Leibler (KL) divergence to model the fuzzy relations, and further to investigate the hedging issues of salmon futures. We use a new framework of hedging under fuzzy circumstances, consisting of innovative marginal distributions and fuzzy intervals. By synergizing fuzzy copula and simulations, we use the fuzzy copula-GMM to obtain the hedge ratios of salmon futures. The empirical results show that, compared with traditional probabilistic methods, the fuzzy copula-GMM hedges the salmon spot risk measured by variance more successfully.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Yu, X (Corresponding Author), Cent China Normal Univ, Sch Econ \& Business Adm, Wuhan 430079, Peoples R China. Yu, Xing; Liu, Chenya, Cent China Normal Univ, Sch Econ \& Business Adm, Wuhan 430079, Peoples R China. Zhang, Weiguo, Shenzhen Univ, Sch Management, Shenzhen 518060, Peoples R China.}, DOI = {10.1142/S0219622023500682}, EarlyAccessDate = {JUL 2023}, Article-Number = {2350068}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Salmon price risk hedging; fuzzy copula model; Kullback-Leibler divergence; mixture Gaussian model}, Keywords-Plus = {FUTURES; RETURNS; NUMBERS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {yuxing@mail.ccnu.edu.cn}, Affiliations = {Central China Normal University; Shenzhen University}, Funding-Acknowledgement = {Humanities and Social Science Youth Fund project of Ministry of Education of China {[}21YJC790148]}, Funding-Text = {This paper is supported by Humanities and Social Science Youth Fund project of Ministry of Education of China (Grant No. 21YJC790148).}, Cited-References = {Abdul Sathar E. 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Decis. Mak.}, Doc-Delivery-Number = {3HG5C}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001032962800002}, DA = {2026-04-14}, } @article{ WOS:000291082100009, Author = {Maiti, Manas Kumar}, Title = {A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon}, Journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, Year = {2011}, Volume = {213}, Number = {1}, Pages = {96-106}, Month = {AUG 16}, Abstract = {A genetic algorithm (GA) with varying population size is developed where crossover probability is a function of parents' age-type (young, middle-aged, old, etc.) and is obtained using a fuzzy rule base and possibility theory. It is an improved GA where a subset of better children is included with the parent population for next generation and size of this subset is a percentage of the size of its parent set. This GA is used to make managerial decision for an inventory model of a newly launched product. It is assumed that lifetime of the product is finite and imprecise (fuzzy) in nature. Here wholesaler/producer offers a delay period of payment to its retailers to capture the market. Due to this facility retailer also offers a fixed credit-period to its customers for some cycles to boost the demand. During these cycles demand of the item increases with time at a decreasing rate depending upon the duration of customers' credit-period. Models are formulated for both the crisp and fuzzy inventory parameters to maximize the present value of total possible profit from the whole planning horizon under inflation and time value of money. Fuzzy models are transferred to deterministic ones following possibility/necessity measure on fuzzy goal and necessity measure on imprecise constraints. Finally optimal decision is made using above mentioned GA. Performance of the proposed GA on the model with respect to some other GAs are compared. (C) 2011 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Maiti, MK (Corresponding Author), Mahishadal Raj Coll, Dept Math, Purba Medinipur 721628, W Bengal, India. Mahishadal Raj Coll, Dept Math, Purba Medinipur 721628, W Bengal, India.}, DOI = {10.1016/j.ejor.2011.02.014}, ISSN = {0377-2217}, EISSN = {1872-6860}, Keywords = {Fuzzy genetic algorithm; Fuzzy rule base; Credit-linked demand; Imprecise planning horizon}, Keywords-Plus = {ECONOMIC ORDER QUANTITY; PERMISSIBLE DELAY; REPLENISHMENT DECISIONS; LEAD-TIME; CONSTRAINTS}, Research-Areas = {Business \& Economics; Operations Research \& Management Science}, Web-of-Science-Categories = {Management; Operations Research \& Management Science}, Author-Email = {manasmaiti@yahoo.co.in}, ORCID-Numbers = {Maiti, Manas Kumar/0009-0002-1033-578X}, Funding-Acknowledgement = {University Grants Commission of India {[}PSW-162/06-07]}, Funding-Text = {This research is supported by University Grants Commission of India by Grant no. PSW-162/06-07. 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Taleizadeh AA, 2009, MATH COMPUT MODEL, V49, P1044, DOI 10.1016/j.mcm.2008.10.013. Valente JMS, 2009, COMPUT OPER RES, V36, P2707, DOI 10.1016/j.cor.2008.11.016. Wee HM, 2009, EUR J OPER RES, V197, P620, DOI 10.1016/j.ejor.2006.08.067. Xu JP, 2010, INFORM SCIENCES, V180, P679, DOI 10.1016/j.ins.2009.11.002. Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {32}, Times-Cited = {46}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Eur. J. Oper. Res.}, Doc-Delivery-Number = {770JF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000291082100009}, DA = {2026-04-14}, } @article{ WOS:001064510400001, Author = {Hosseini-Motlagh, Seyyed-Mahdi and Ghatreh Samani, Mohammad Reza and Farokhnejad, Parnian}, Title = {Novel control strategies and iterative approaches to order various COVID-19 vaccines to prevent shortages and immunisation expansion}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2025}, Volume = {63}, Number = {2, SI}, Pages = {524-554}, Month = {JAN 17}, Abstract = {This paper suggests control strategies for ordering various COVID-19 vaccines and assigning vaccine recipients to immunisation stations in order to minimise shortages. To determine the optimal quantity of multiple vaccines to order, a fuzzy periodic review model is proposed. Furthermore, vaccine recipients are prioritised into different groups based on their occupation (e.g. essential workers), age cohort, co-morbidities, and pre-existing diseases. To model vaccine recipients' waiting and improve vaccination effectiveness by reducing congestion in immunisation stations, a queuing framework is utilised. Due to the suppliers' lack of commitment to the mass production of vaccines during the COVID-19 pandemic, the number of orders delivered to the cross-docking facility is considered uncertain. A rolling planning horizon approach is implemented using an iterative method to prevent vaccine shortages. To validate the proposed model, a case study is conducted using data from Arak City in Iran, and sensitivity analysis is performed on the model parameters. The analysis of the results indicates that the rolling planning horizon approach and the possibilistic chance-constrained programming improve network performance against operational risks, including the COVID-19 pandemic. Moreover, implementing this method reduces costs and vaccine shortages in the network compared to the current situation.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Hosseini-Motlagh, SM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran. Hosseini-Motlagh, Seyyed-Mahdi; Ghatreh Samani, Mohammad Reza; Farokhnejad, Parnian, Iran Univ Sci \& Technol, Sch Ind Engn, Univ Ave, Narmak 16846, Tehran, Iran.}, DOI = {10.1080/00207543.2023.2254394}, EarlyAccessDate = {SEP 2023}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {Vaccine supply chain; COVID-19 pandemic; rolling planning horizon approach; inventory system; uncertainty}, Keywords-Plus = {SUPPLY CHAIN; PANDEMIC INFLUENZA; STOCHASTIC DEMAND; PROGRAMMING MODEL; SYSTEM; PERISHABLES; DESIGN}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {motlagh@iust.ac.ir mr\_samani@ind.iust.ac.ir parnian\_farokhnejad@ind.iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Hosseini-Motlagh, Seyyed-Mahdi/L-5523-2018 Samani, Mohammad/AAS-3972-2021}, Funding-Acknowledgement = {The authors thank the editors and anonymous referees for their valuable suggestions and comments that lead to the improvement of the paper.}, Funding-Text = {The authors thank the editors and anonymous referees for their valuable suggestions and comments that lead to the improvement of the paper.}, Cited-References = {Abbasi B., 2020, MODELING VACCINE ALL. 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Res.}, Doc-Delivery-Number = {T0A5V}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001064510400001}, DA = {2026-04-14}, } @article{ WOS:000261898900004, Author = {Chrysafis, Konstantinos A. and Papadopoulos, Basil K.}, Title = {On theoretical pricing of options with fuzzy estimators}, Journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, Year = {2009}, Volume = {223}, Number = {2}, Pages = {552-566}, Month = {JAN 15}, Abstract = {In this paper we present an application of a new method of constructing fuzzy estimators for the parameters of a given probability distribution function, using statistical data. This application belongs to the financial field and especially to the section of financial engineering. In financial markets there are great fluctuations, thus the element of vagueness and uncertainty is frequent. This application concerns Theoretical Pricing of Options and in particular the Black and Scholes Options Pricing formula. We make use of fuzzy estimators for the volatility of stock returns and we consider the stock price as a symmetric triangular fuzzy number. Furthermore we apply the Black and Scholes formula by using adaptive fuzzy numbers introduced by Thiagarajah et al. {[}K. Thiagarajah, S.S. Appadoo, A. Thavaneswaran, Option valuation model with adaptive fuzzy numbers, Computers and Mathematics with Applications 53 (2007) 831-841] for the stock price and the volatility and we replace the fuzzy volatility and the fuzzy stock price by possibilistic mean value. We refer to both cases of call and put option prices according to the Black \& Scholes model and also analyze the results to Greek parameters. Finally, a numerical example is presented for both methods and a comparison is realized based on the results. (C) 2007 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Papadopoulos, BK (Corresponding Author), Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece. Chrysafis, Konstantinos A.; Papadopoulos, Basil K., Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece.}, DOI = {10.1016/j.cam.2007.12.006}, ISSN = {0377-0427}, EISSN = {1879-1778}, Keywords = {Fuzzy estimators; Adaptive fuzzy numbers; Fuzzy volatility; Possibilistic mean; Black-Scholes option pricing formula}, Keywords-Plus = {VARIANCE}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {kgoldenfme@hotmail.com papadob@civil.duth.gr}, Affiliations = {Democritus University of Thrace}, ORCID-Numbers = {Chrysafis, Konstantinos A/0000-0003-4701-2693}, Cited-References = {Adams Andrew., 1993, Investment mathematics and statistics. BLACK F, 1973, J POLIT ECON, V81, P637, DOI 10.1086/260062. Carlsson C, 2003, FUZZY SET SYST, V139, P297, DOI 10.1016/S0165-0114(02)00591-2. Carlsson C, 2001, FUZZY SET SYST, V122, P315, DOI 10.1016/S0165-0114(00)00043-9. 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Zmeskal Z, 2001, EUR J OPER RES, V135, P303, DOI 10.1016/S0377-2217(01)00042-X.}, Number-of-Cited-References = {20}, Times-Cited = {57}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {11}, Journal-ISO = {J. Comput. Appl. Math.}, Doc-Delivery-Number = {386QY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000261898900004}, DA = {2026-04-14}, } @article{ WOS:000345571000002, Author = {Paydar, Mohammad Mahdi and Saidi-Mehrabad, Mohammad}, Title = {Revised multi-choice goal programming for integrated supply chain design and dynamic virtual cell formation with fuzzy parameters}, Journal = {INTERNATIONAL JOURNAL OF COMPUTER INTEGRATED MANUFACTURING}, Year = {2015}, Volume = {28}, Number = {3}, Pages = {251-265}, Month = {MAR 4}, Abstract = {Cell formation, as one of the most important decision problems in designing a cellular manufacturing system, includes grouping machines in cells and the parts as part families. In a dynamic environment, the part demand/mix change is considered over a planning horizon divided to several periods. So, the cell formation for one period may no longer be effective for future periods and hence reconfiguration of cells is essential. Due to the variation of demand and necessity of cells reconfiguration, virtual cell formation concept is introduced by researchers to take the advantage of cell formation without reconfiguration charges. On the other hand, Simultaneous consideration of supply chain and cell formation results in lower distribution and procurement costs and faster response to customers. In this paper, a new bi-objective possibilistic optimisation mathematical model is developed for integrating procurement, production and distribution planning considering various conflicting objectives simultaneously as well as the imprecise nature of some critical parameters such as customer demands and machine capacities. Then, a revised multi-choice goal programming approach is applied to solve the proposed mathematical model and to find a preferred compromise solution. Moreover, a real-world industrial case is provided to validate how the proposed model works.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Paydar, MM (Corresponding Author), Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Paydar, Mohammad Mahdi; Saidi-Mehrabad, Mohammad, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran.}, DOI = {10.1080/0951192X.2013.874596}, ISSN = {0951-192X}, EISSN = {1362-3052}, Keywords = {multi-choice goal programming; virtual cell formation; supply chain}, Keywords-Plus = {MANUFACTURING SYSTEMS; FLEXIBLE CONSTRAINTS; MATHEMATICAL-MODEL; OPTIMIZATION; ALGORITHM; UNCERTAINTY; SEARCH; MRP}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {paydar@iust.ac.ir}, Affiliations = {Iran University Science \& Technology}, ResearcherID-Numbers = {Paydar, Mohammad Mahdi/Y-7856-2019 saidi-mehrabad, mohammad/S-6101-2018}, ORCID-Numbers = {Paydar, Mohammad Mahdi/0000-0002-0941-247X }, Cited-References = {Aouni B, 2009, J MULTI-CRITERIA DEC, V16, P149, DOI 10.1002/mcda.448. 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WEMMERLOV U, 1989, INT J PROD RES, V27, P1511, DOI 10.1080/00207548908942637.}, Number-of-Cited-References = {62}, Times-Cited = {51}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {65}, Journal-ISO = {Int. J. Comput. Integr. Manuf.}, Doc-Delivery-Number = {AU4HI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000345571000002}, DA = {2026-04-14}, } @article{ WOS:000350182600005, Author = {Igoulalene, Idris and Benyoucef, Lyes and Tiwari, Manoj Kumar}, Title = {Novel fuzzy hybrid multi-criteria group decision making approaches for the strategic supplier selection problem}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2015}, Volume = {42}, Number = {7}, Pages = {3342-3356}, Month = {MAY 1}, Abstract = {The current complexity of supply chains (SC) activities requires the need for coordination between supply chains partners to maximize the efficiency. Considered by practitioners as one of the main SC coordination problems, this paper considers the strategic supplier selection problem. Fuzzy set is used in order to address the imprecision of supply chain partners in formulating the preferences values of various selection criteria. The problem is formulated as a multi-stakeholder multi-criteria (MSMC) decision making problem and solved using two novel approaches. The first hybrid approach combines the fuzzy consensus-based possibility measure and fuzzy TOPSIS method. The second hybrid approach combines the fuzzy consensus-based neat OWA and goal programming model where, the inclusion and participation of stakeholders in the decision-making process is explicit. For each approach, the correlation coefficient and standard deviation (CCSD) based objective weight determination model is used to compute the criteria weights. To demonstrate the applicability of the proposed approaches, a simple example of strategic supplier selection problem is presented and the numerical results analyzed. Moreover, for each approach, the deviations between individual solutions and collective solution are evaluated using the Levenshtein distance. Finally, the advantages and disadvantages of each approach are listed. (C) 2014 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Igoulalene, I (Corresponding Author), Aix Marseille Univ, LSIS UMR 7296, Av Escadrille Normandie Niemen, F-13397 Marseille 20, France. Igoulalene, Idris; Benyoucef, Lyes, Aix Marseille Univ, LSIS UMR 7296, F-13397 Marseille 20, France. Tiwari, Manoj Kumar, Indian Inst Technol, Kharagpur 721302, W Bengal, India.}, DOI = {10.1016/j.eswa.2014.12.014}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy set; Consensus; CCSD; Possibility measure; Neat OWA; Fuzzy TOPSIS; Goal programming; Satisfaction function; Multi-stakeholder; Multi-criteria; Supplier selection}, Keywords-Plus = {CONSENSUS MODEL; SUPPORT-SYSTEM; TOPSIS; CHAIN; OPTIMIZATION; METHODOLOGY; INTEGRATION; PREFERENCES; FRAMEWORK; CRITERIA}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {idris.igoulalene@lsis.org}, Affiliations = {Aix-Marseille Universite; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur}, ResearcherID-Numbers = {Tiwari, MK/B-3592-2012}, ORCID-Numbers = {Tiwari, MK/0000-0001-8564-1402}, Cited-References = {Aloini D, 2014, EXPERT SYST APPL, V41, P2157, DOI 10.1016/j.eswa.2013.09.014. {[}Anonymous], 1966, SOVIET PHYS DOKL. 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Appl.}, Doc-Delivery-Number = {CC2NT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000350182600005}, DA = {2026-04-14}, } @article{ WOS:000672590000008, Author = {Khan, Faiz Muhammad and Leoreanu-Fotea, Violeta and Saifullah and Amanullah}, Title = {A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups}, Journal = {ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA}, Year = {2021}, Volume = {29}, Number = {2}, Pages = {155-171}, Abstract = {In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (is an element of, is an element of Vq(k))-FSR(L)Is of ordered semigroup(OSG). Based on this inception, fuzzy soft level subsets are defined which link ordinary ideals with (is an element of, is an element of Vq(k))-fuzzy soft left(right) ideals. Some binary operations like circle(lambda), intersection boolean AND(lambda) and union of fuzzy soft sets boolean OR(lambda) are given and various fundamental results of ideal theory are developed through these types of fuzzy soft ideals.}, Publisher = {OVIDIUS UNIV PRESS}, Address = {FAC MATHEMATICS \& COMPUTER SCIENCE, BULEVARDUL MAMAIA 124, CONSTANTA, 900527, ROMANIA}, Type = {Article}, Language = {English}, Affiliation = {Khan, FM (Corresponding Author), Univ Swat, Dept Math \& Stat, Khyberpakhtunkhwa, Pakistan. Khan, Faiz Muhammad, Univ Swat, Dept Math \& Stat, Khyberpakhtunkhwa, Pakistan. Leoreanu-Fotea, Violeta, Alexandru Ioan Cuza Univ, Dept Math, Bd Carol 1 11, Iasi, Romania. Saifullah; Amanullah, Univ Malakand, Dept Math, Lower Dir, Khyberpakhtunkh, Pakistan.}, DOI = {10.2478/auom-2021-0023}, ISSN = {1224-1784}, EISSN = {1844-0835}, Keywords = {Fuzzy soft subsets; OSGs (is an element of, is an element of Vq(k))-FSR(L)Is; (is an element of, is an element of Vq(k))-fuzzy soft ideals; level subsets}, Keywords-Plus = {STRUCTURAL RELIABILITY; SET-THEORY; UNCERTAINTY}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {faiz\_zady@yahoo.com foteavioleta@gmail.com saifullah9090@hotmail.com amanswt@uom.edu.pk}, Affiliations = {Alexandru Ioan Cuza University}, ResearcherID-Numbers = {Leoreanu-Fotea, Violeta/B-5844-2011 Ullah, Aman/AAJ-6441-2021 Khan, Faiz Muhammad/IUN-3977-2023}, ORCID-Numbers = {Ullah, Aman/0000-0003-4021-3599 }, Funding-Acknowledgement = {Higher Education Commission (HEC) {[}6831]; NRPU project by HEC {[}6831]}, Funding-Text = {This research is the part of NRPU project 6831 by HEC. 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Ovidius C.}, Doc-Delivery-Number = {TI2BA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000672590000008}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000237065500009, Author = {Wang, J and Lin, HY}, Title = {A fuzzy hybrid decision-aid model for selecting partners in the design chain}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2006}, Volume = {44}, Number = {10}, Pages = {2047-2069}, Month = {MAY 15}, Abstract = {Due to reducing product life cycle and increasing product complexity, design chain management has become more important for industries to develop innovative products within a shorter lead-time. Selecting the design chain partners that is a key determinant of co-development success involves multiple selection criteria and constraints that are either qualitative or quantitative. Poor selection of design chain partners may cause higher development time and cost and less competitive products. This paper considers design chain partnership formation as a multi-criteria decision-making problem. Fuzzy set theory is used to represent information that is mostly imprecise and uncertain at this stage. A fuzzy hybrid decision-aid model that integrates a fuzzy multi-criteria outranking approach with a fuzzy integer programming model is proposed to tackle both qualitative and quantitative factors as well as the decision flexibility. A genetic algorithm approach is applied to select the set of partners that maximise the total performance score of the entire design chain and satisfy the constraints of target development time and cost at the same time. An example of mobile phone design chain is used to illustrate the developed concept.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Wang, J (Corresponding Author), Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, Taichung, Taiwan. Natl Chung Hsing Univ, Grad Inst Technol \& Innovat Management, Taichung, Taiwan. Feng Chia Univ, Dept Ind Engn \& Management Syst, Taichung 40724, Taiwan.}, DOI = {10.1080/00207540500354028}, ISSN = {0020-7543}, Keywords = {design chain; Partner selection; multi-criteria decision making; fuzzy set theory; possibility theory; genetic algorithms}, Keywords-Plus = {MANAGING PRODUCT DEVELOPMENT; GENETIC ALGORITHM; SUPPLY CHAIN; FRAMEWORK; PROJECTS}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {rdwang@nchu.edu.tw}, Affiliations = {National Chung Hsing University; Feng Chia University}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {{[}Anonymous], 1992, GENETIC ALGORITHMS D. BRANS JP, 1986, EUR J OPER RES, V24, P228, DOI 10.1016/0377-2217(86)90044-5. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {31}, Times-Cited = {22}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {7}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {036IT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000237065500009}, DA = {2026-04-14}, } @article{ WOS:000087659100005, Author = {Herrera, F and Herrera-Viedma, E and Martínez, L}, Title = {A fusion approach for managing multi-granularity linguistic term sets in decision making}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2000}, Volume = {114}, Number = {1}, Pages = {43-58}, Month = {AUG 16}, Abstract = {The aim of this paper is to present a fusion approach of multi-granularity linguistic information for managing information assessed in different linguistic term sets (multi-granularity linguistic term sets) together with its application in a decision making problem with multiple information sources, assuming that the linguistic performance values given to the alternatives by the different sources are represented in linguistic term sets with different granularity and/or semantic. In this context, a decision process based on two steps is proposed with a view to obtaining the solution set of alternatives. First, the fusion of the multi-granularity linguistic performance values is carried out in order to obtain collective performance evaluations. In this step, on the one hand, the multi-granularity linguistic information is made uniform using a linguistic term set as the uniform representation base, the basic linguistic term set. On the other hand, the collective performance evaluations of the alternatives are obtained by means of an aggregation operator, being fuzzy sets on the basic linguistic term set. Second, the choice of the best alternative(s) from the collective performance evaluations is performed. To do that, a fuzzy preference relation is computed from the collective performance evaluations using;a ranking method of pairs of fuzzy sets in the setting of Possibility Theory, applied to fuzzy sets on the basic linguistic term set. Then, a choice degree may be applied on the preference relation in order to rank the alternatives. (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Herrera, F (Corresponding Author), Univ Granada, Dept Comp Sci \& Artificial Intelligence, E-18071 Granada, Spain. Univ Granada, Dept Comp Sci \& Artificial Intelligence, E-18071 Granada, Spain. Univ Jaen, Dept Comp Sci, Jaen 23700, Spain.}, DOI = {10.1016/S0165-0114(98)00093-1}, ISSN = {0165-0114}, Keywords = {decision-making; linguistic modelling; linguistic variables; multi-granularity linguistic term sets; fuzzy preference relation}, Keywords-Plus = {OWA OPERATORS; FUZZY-SETS; INFORMATION; CONSENSUS; MODEL; SELECTION; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {University of Granada; Universidad de Jaen}, ResearcherID-Numbers = {Martinez, Luis/A-1746-2009 Herrera-Viedma, Enrique/C-2704-2008 Herrera, Francisco/K-9019-2017}, ORCID-Numbers = {Martinez, Luis/0000-0003-4245-8813 Herrera-Viedma, Enrique/0000-0002-7922-4984 Herrera, Francisco/0000-0002-7283-312X}, Cited-References = {{[}Anonymous], 1981, FUZZY MULTIPLE ATTRI. Bonissone P., 1986, Uncertainty in Artificial Intelligence, P217, DOI {[}DOI 10.1016/B978-0-444-70058-2.50021-8, DOI 10.1016/j.tranpol.2014.09.005]. BORDOGNA G, 1993, J AM SOC INFORM SCI, V44, P70, DOI 10.1002/(SICI)1097-4571(199303)44:2<70::AID-ASI2>3.0.CO;2-I. Bordogna G, 1997, IEEE T SYST MAN CY A, V27, P126, DOI 10.1109/3468.553232. BUCKLEY JJ, 1984, FUZZY SETS SYSTEMS, V13, P23. CHANG PL, 1994, FUZZY SET SYST, V63, P131, DOI 10.1016/0165-0114(94)90344-1. Chiclana F, 1998, FUZZY SET SYST, V97, P33, DOI 10.1016/S0165-0114(96)00339-9. Degani R., 1988, International Journal of Approximate Reasoning, V2, P143, DOI 10.1016/0888-613X(88)90105-3. Delgado M, 1998, INFORM SCIENCES, V107, P177, DOI 10.1016/S0020-0255(97)10044-5. DELGADO M, 1993, INT J INTELL SYST, V8, P351, DOI 10.1002/int.4550080303. DUBOIS D, 1983, INFORM SCIENCES, V30, P183, DOI 10.1016/0020-0255(83)90025-7. Fodor J.C. Roubens., 1994, Fuzzy Preference Modelling and Multicriteria Decision Support. 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ORLOVSKI SA, 1994, CALCULUS DESCOMPOSAB. Orlovsky S. A., 1978, Fuzzy Sets and Systems, V1, P155, DOI 10.1016/0165-0114(78)90001-5. PERNY P, 9 LAFORIA. Roubens M, 1997, FUZZY SET SYST, V90, P199, DOI 10.1016/S0165-0114(97)00087-0. ROUBENS M, 1989, EUR J OPER RES, V40, P309, DOI 10.1016/0377-2217(89)90423-2. TONG RM, 1980, IEEE T SYST MAN CYB, V10, P716, DOI 10.1109/TSMC.1980.4308391. TORRA V, 1995, IEEE T SYST MAN CYB, V25, P888, DOI 10.1109/21.376503. Yager R.R., 1993, Fuzzy Logic, P251. Yager R.R., 1981, DECISION SCI, V12, P589. YAGER RR, 1994, FUZZY SET SYST, V68, P1, DOI 10.1016/0165-0114(94)90269-0. Yager RR, 1996, INT J INTELL SYST, V11, P49, DOI 10.1002/(SICI)1098-111X(199601)11:1<49::AID-INT3>3.3.CO;2-L. YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068. Yager RR., 1993, Group Decis Negot, V2, P81, DOI DOI 10.1007/BF01384404. ZADEH LA, 1975, INFORM SCIENCES, V9, P43, DOI 10.1016/0020-0255(75)90017-1. 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INT J INTELL SYST.}, Number-of-Cited-References = {43}, Times-Cited = {676}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {109}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {325CQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000087659100005}, DA = {2026-04-14}, } @article{ WOS:000085089900006, Author = {de Lima, BSLP and Ebecken, NFF}, Title = {A comparison of models for uncertainty analysis by the finite element method}, Journal = {FINITE ELEMENTS IN ANALYSIS AND DESIGN}, Year = {2000}, Volume = {34}, Number = {2}, Pages = {211-232}, Month = {FEB 1}, Abstract = {Uncertainty in structural engineering analysis exists in the architecture of a structural system, its basic parameters, the information resulting from the abstracted aspects of the system, and the non-abstracted or unknown aspects of the system. Also, uncertainty is present as a result of prediction models, analysis and design of structures, and general lack of knowledge about the behavior of real structures. One of the important factors that lead to errors in numerical predictions is the degree of precision in obtaining the relevant parameters. In this paper we discuss two different methodologies: 1. Classical probabilistic approach, in which the properties are treated as random variables. Stochastic Finite Element Methods are examined using both Monte Carlo Simulation and Perturbation Methods. 2. Possibilistic approach, by a model based on the theory of fuzzy sets. Some results are presented to point out the main characteristics of the two methodologies (Lima, D.Sc. Thesis, COPPE/Federal University Rio de Janeiro, 1996). (C) 2000 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Ebecken, NFF (Corresponding Author), Univ Fed Rio de Janeiro, Post Grad Inst, COPPE, Ctr Tecnol, Cidade Univ,Caixa Postal 68506, BR-21945970 Rio De Janeiro, Brazil. Univ Fed Rio de Janeiro, Post Grad Inst, COPPE, Ctr Tecnol, BR-21945970 Rio De Janeiro, Brazil.}, DOI = {10.1016/S0168-874X(99)00039-6}, ISSN = {0168-874X}, EISSN = {1872-6925}, Keywords = {stochastic finite elements; Monte Carlo simulation; fuzzy sets}, Keywords-Plus = {FUZZY}, Research-Areas = {Mathematics; Mechanics}, Web-of-Science-Categories = {Mathematics, Applied; Mechanics}, Author-Email = {nelson@ntt.ufrj.br}, Affiliations = {Universidade Federal do Rio de Janeiro}, ResearcherID-Numbers = {Ebecken, Nelson/D-2763-2015}, ORCID-Numbers = {Ebecken, Nelson/0000-0003-4928-0966}, Cited-References = {Ang A.H.-S., 2006, PROBABILITY CONCEPTS, V2nd. 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VANMARCKE E, 1983, J ENG MECH-ASCE, V109, P1203, DOI 10.1061/(ASCE)0733-9399(1983)109:5(1203). YAMAZAKI F, 1988, J ENG MECH-ASCE, V114, P1335, DOI 10.1061/(ASCE)0733-9399(1988)114:8(1335). YAMAZAKI F, 1990, J ENG MECH-ASCE, V116, P268, DOI 10.1061/(ASCE)0733-9399(1990)116:2(268). Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {20}, Times-Cited = {33}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Finite Elem. Anal. Des.}, Doc-Delivery-Number = {280EU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000085089900006}, DA = {2026-04-14}, } @article{ WOS:A1993MR45500001, Author = {FULLER, R and ZIMMERMANN, HJ}, Title = {FUZZY-REASONING FOR SOLVING FUZZY MATHEMATICAL-PROGRAMMING PROBLEMS}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1993}, Volume = {60}, Number = {2}, Pages = {121-133}, Month = {DEC 10}, Abstract = {We interpret fuzzy linear programming (FLP) problems with fuzzy coefficients and fuzzy inequality relations as multiple fuzzy reasoning schemes (MFR), where the antecedents of the scheme correspond to the constraints of the FLP problem and the fact of the scheme is the objective of the FLP problem. Then the solution process consists of two steps: first, for every decision variable x is an element of R(n), we compute the (fuzzy) value of the objective function, MAX(I), via sup-min convolution of the antecedents/constraints and the fact/objective. Then an (optimal) solution to FLP problem is any point which produces a maximal element of the set \{MAX(x) \textbackslash{}x is an element of R(n)\} (in the sense of the given inequality relation). We show that our solution process for a classical (crisp) LP problem results in a solution in the classical sense, and (under well-chosen inequality relations and objective function) coincides with those suggested by Buckley {[}Fuzzy Sets and Systems 31 (1989) 329-341], Delgado et al. {[}Control and Cybernetics 16 (1987) 114-121, Fuzzy sets and Systems 26 (1988) 49-62], Negoita {[}Fuzzy Sets and Systems 6 (1981) 261-269], Ramik and Rimanek {[}Fuzzy Sets and Systems 16 (1985) 123-138], Verdegay {[}Fuzzy Information and Decision Processes (North-Holland, Amsterdam, 1982), Control and Cybernetics 13 (1984) 230-239] and Zimmermann {[}Int. J. General Systems 2 (1976) 209-215]. Furthermore, we show how to extend the proposed solution principle to non-linear programming problems with fuzzy coefficients. We illustrate our approach by some simple examples.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {FULLER, R (Corresponding Author), EOTVOS LORAND UNIV, DEPT COMP SCI, POB 157, H-1502 BUDAPEST 112, HUNGARY. RHEIN WESTFAL TH AACHEN, DEPT OPERAT RES, AACHEN, GERMANY.}, DOI = {10.1016/0165-0114(93)90341-E}, ISSN = {0165-0114}, Keywords = {COMPOSITIONAL RULE OF INFERENCE; MULTIPLE FUZZY REASONING; FUZZY MATHEMATICAL PROGRAMMING; POSSIBILISTIC MATHEMATICAL PROGRAMMING}, Keywords-Plus = {OPTIMIZATION; NUMBERS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {RWTH Aachen University}, ResearcherID-Numbers = {Fullér, Róbert/C-3963-2011}, ORCID-Numbers = {Fullér, Róbert/0000-0002-4146-0885}, Cited-References = {BUCKLEY JJ, 1989, FUZZY SET SYST, V31, P329, DOI 10.1016/0165-0114(89)90204-2. BUCKLEY JJ, 1988, FUZZY SET SYST, V26, P135, DOI 10.1016/0165-0114(88)90013-9. CARLSSON C, 1982, EUR J OPER RES, V10, P270, DOI 10.1016/0377-2217(82)90226-0. CARLSSON C, 1987, CYBERNET SYST, V18, P35, DOI 10.1080/01969728708902126. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. ZADEH LA, 1973, IEEE T SYST MAN CYB, VSMC3, P28, DOI 10.1109/TSMC.1973.5408575. Zimmermann H.J., 1986, FUZZY SETS THEORY AP, P99. ZIMMERMANN HJ, 1976, INT J GEN SYST, V2, P209, DOI 10.1080/03081077608547470. ZIMMERMANN HJ, 1985, INFORM SCIENCES, V36, P29, DOI 10.1016/0020-0255(85)90025-8. ZIMMERMANN HJ, 1978, FUZZY SETS SYSTEMS, V1, P48.}, Number-of-Cited-References = {26}, Times-Cited = {51}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {MR455}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1993MR45500001}, DA = {2026-04-14}, } @article{ WOS:000390417200012, Author = {Rezaei-Malek, Mohammad and Razmi, Jafar and Tavakkoli-Moghaddam, Reza and Taheri-Moghaddam, Alireza}, Title = {Towards a psychologically consistent cellular manufacturing system}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2017}, Volume = {55}, Number = {2}, Pages = {492-518}, Abstract = {In cellular manufacturing systems (CMSs), an operator plays an important role. Because operators work for long-time periods in a production area, an increase in job satisfaction and system productivity occurs if the consistency of operators' personal characteristics are considered in the design of CMSs. In a CMS, a cell formation problem (CFP) focuses on grouping and allocating machines, part families and operators to manufacturing cells. This paper considers a decision-making style (DMS) as an operator's personal characteristic index in a CFP for designing a psychologically consistent CMS. DMS influences not only the interaction between two operators, but also the work that operator does on a machine. Hence, this paper develops a novel multi-objective mathematical model for the CFP considering consistency between each two operators in each cell and consistency between operator and his/her assigned machine(s). Because of possibility of a change in the primary DMS of a person to the backup one, this paper tackles this issue by applying a probabilistic procedure. Two hybrid meta-heuristic algorithms are developed for the large-sized test problems. In addition, the PROMETHEE-II method is applied to select the best Pareto solution. Finally, a real case study is presented to show the applicability of the developed approach.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Razmi, J (Corresponding Author), Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Rezaei-Malek, Mohammad; Razmi, Jafar; Tavakkoli-Moghaddam, Reza; Taheri-Moghaddam, Alireza, Univ Tehran, Coll Engn, Sch Ind Engn, Tehran, Iran. Rezaei-Malek, Mohammad; Tavakkoli-Moghaddam, Reza, Arts \& Metiers Paris Tech, LCFC, Metz, France.}, DOI = {10.1080/00207543.2016.1192299}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords = {cellular manufacture; cell formation; decision-making style; multi-criteria decision-making; metaheuristics}, Keywords-Plus = {POSSIBILISTIC PROGRAMMING APPROACH; ENHANCED FIREWORKS ALGORITHM; SUPPLY CHAIN NETWORK; MATHEMATICAL-MODEL; GROUP-TECHNOLOGY; LAYOUT PROBLEM; DESIGN; ASSIGNMENT; ALLOCATION; SELECTION}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {jrazmi@ut.ac.ir}, Affiliations = {University of Tehran; Universite de Lorraine; Arts et Metiers Institute of Technology}, ResearcherID-Numbers = {Tavakkoli-Moghaddam, Reza/P-1948-2015 }, ORCID-Numbers = {Taheri Moghadam, Alireza/0000-0002-4620-0425 Tavakkoli-Moghaddam, Reza/0000-0002-6757-926X Razmi, Jafar/0000-0002-3357-8293}, Funding-Acknowledgement = {University of Tehran {[}8106043/1/26]; Campus France in Iran {[}851042C]}, Funding-Text = {The first and third authors would like to acknowledge the partially financial support of the University of Tehran for this research under Grant No. {[}8106043/1/26]. Additionally, the first author gratefully acknowledges the support given by the Campus France in Iran for their financial support under Scholarship No. {[}851042C].}, Cited-References = {ADIL GK, 1993, EUR J OPER RES, V69, P330, DOI 10.1016/0377-2217(93)90019-J. Albadawi Z, 2005, COMPUT IND ENG, V48, P3, DOI 10.1016/j.cie.2004.06.008. {[}Anonymous], PROCEDIA SOCIAL BEHA, DOI DOI 10.1016/j.sbspro.2011.08.104. {[}Anonymous], 2001, TIK-Rep. 103, DOI DOI 10.3929/ETHZ-A-004284029. {[}Anonymous], J EC COMPUTATION EC. Asl-Najafi J, 2015, COMPUT IND ENG, V90, P414, DOI 10.1016/j.cie.2015.10.012. Azadeh A, 2015, INT J PROD RES, V53, P3276, DOI 10.1080/00207543.2014.975860. Cesaní VI, 2005, COMPUT IND ENG, V48, P571, DOI 10.1016/j.cie.2003.04.001. Chen MY, 1998, ANN OPER RES, V77, P109, DOI 10.1023/A:1018917109580. Chung SH, 2011, COMPUT IND ENG, V60, P7, DOI 10.1016/j.cie.2010.08.016. Deb K, 2002, IEEE T EVOLUT COMPUT, V6, P182, DOI 10.1109/4235.996017. 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Zheng SQ, 2014, 2014 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC), P3222, DOI 10.1109/CEC.2014.6900485. Zheng YJ, 2015, NEUROCOMPUTING, V148, P75, DOI 10.1016/j.neucom.2012.08.075. Zitzler E, 2004, LECT NOTES COMPUT SC, V3242, P832. Zitzler E, 1998, LECT NOTES COMPUT SC, V1498, P292, DOI 10.1007/BFb0056872.}, Number-of-Cited-References = {65}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {21}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {EF6CH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000390417200012}, DA = {2026-04-14}, } @article{ WOS:001116891000001, Author = {Farboodi, Sadaf and Paydar, Mohammad Mahdi and Nemati, Arash}, Title = {Designing a virtual cellular manufacturing system with route selection and workers' considerations: A multi-objective robust possibilistic model}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2024}, Volume = {238}, Number = {F}, Month = {MAR 15}, Abstract = {In today's economy, the necessity for responsiveness to variations in customers' permanent requirements is increasing significantly. Achieving immediate response or success in the competitive market requires boosting flexibility, agility, and efficiency in utilizing available production equipment and workforce. Implementing a Virtual Cellular Manufacturing System (VCSM) prevents the reconfiguration costs and is suitable for many systems where the machines are not removable. Owing to the significant role of human resources in VCMS, this paper assigns the workers based on their skills, interest in cooperation, and workload balancing among cells. The considerable novelty is balancing physical and time workloads simultaneously. Another strength of this research is the consideration of various routes to process each part. A comprehensive linear multi-objective mathematical model is developed for a virtual cellular manufacturing system. This paper develops the model by stating social and technical dimensions, which minimize exceptional elements and voids, maximize the workers' interest in cooperation, and minimize workload deviation. Stemming from uncertain parameters, a robust possibilistic approach is addressed. Due to the multi-objective model, the multi-choice meta-goal programming with the utility function is applied. Afterward, a real-case study is presented to validate the model. Eventually, the outcomes and sensitivity analysis are brought up.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Paydar, MM (Corresponding Author), Babol Noshirvani Univ Technol, Dept Ind Engn, Babol, Iran. Farboodi, Sadaf; Paydar, Mohammad Mahdi; Nemati, Arash, Babol Noshirvani Univ Technol, Dept Ind Engn, Babol, Iran.}, DOI = {10.1016/j.eswa.2023.122263}, EarlyAccessDate = {NOV 2023}, Article-Number = {122263}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Cell formation; Workforce allocation; Workload balancing; Multi-objective mathematical model; Uncertainty modeling; Multi-choice meta-goal programming; Utility function}, Keywords-Plus = {MATHEMATICAL-MODEL; OPERATOR ASSIGNMENT; GROUP-TECHNOLOGY; SUPPLY CHAIN; OPTIMIZATION; ALGORITHM}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {paydar@nit.ac.ir r.nemati@nit.ac.ir}, Affiliations = {Babol Noshirvani University of Technology}, ResearcherID-Numbers = {Paydar, Mohammad Mahdi/Y-7856-2019 Farboodi, Sadaf/KUF-0856-2024}, ORCID-Numbers = {Paydar, Mohammad Mahdi/0000-0002-0941-247X Nemati, Arash/0000-0002-1077-0071 Farboodi, Sadaf/0009-0004-8655-9848}, Cited-References = {Aalaei A, 2017, INT J PROD ECON, V183, P667, DOI 10.1016/j.ijpe.2016.01.014. 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The expression has two advantages over the conventional way with conditional possibilities: it expresses the exact degrees of possibility of causalities, and the number of necessary conditional causal possibilities is far smaller than that of conditional possibilities. However, it has a weakness that it cannot handle causalities with compound effects such as synergistic and canceling effects by multiple causes. The paper discusses the weakness and proposes a solution. First, it discusses how to deal with the compound effects and proposes a new causal model with conditional causal possibilities by multiple causes. Then, it defines a causality consistency problem that calculates possibility of a hypothesis given some observed events, and shows a way to solve the problem. (C) 2003 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Yamada, K (Corresponding Author), Nagaoka Univ Technol, Dept Management \& Informat Syst Sci, 1603-1 Kami Tomioka, Nagaoka, Niigata 9202188, Japan. Nagaoka Univ Technol, Dept Management \& Informat Syst Sci, Nagaoka, Niigata 9202188, Japan.}, DOI = {10.1016/S0165-0114(03)00306-3}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {possibility theory; causal reasoning; uncertain reasoning}, Keywords-Plus = {PROBABILISTIC INFERENCE; BELIEF REVISION; FRAMEWORK}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {yamada@kjs.nagaokaut.ac.jp}, Affiliations = {Nagaoka University of Technology}, Cited-References = {Cheng PW, 1997, PSYCHOL REV, V104, P367, DOI 10.1037/0033-295X.104.2.367. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {24}, Times-Cited = {14}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {831PR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000222207300001}, DA = {2026-04-14}, } @article{ WOS:000174706800010, Author = {Benferhat, S and Dubois, D and Kaci, S and Prade, H}, Title = {Possibilistic merging and distance-based fusion of propositional information}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2002}, Volume = {34}, Number = {1-3}, Pages = {217-252}, Abstract = {The problem of merging multiple sources information is central in many information processing areas such as databases integrating problems, multiple criteria decision making, expert opinion pooling, etc. Recently, several approaches have been proposed to merge propositional bases, or sets of (non-prioritized) goals. These approaches are in general semantically defined. Like in belief revision, they use implicit priorities, generally based on Dalal's distance, for merging the propositional bases and return a new propositional base as a result. An immediate consequence of the generation of a propositional base is the impossibility of decomposing and iterating the fusion process in a coherent way with respect to priorities since the underlying ordering is lost. This paper presents a general approach for fusing prioritized bases, both semantically and syntactically, when priorities are represented in the possibilistic logic framework. Different classes of merging operators are considered depending on whether the sources are consistent, conflicting, redundant or independent. we show that the approaches which have been recently proposed for merging propositional bases can be embedded in this setting. The result is then a prioritized base, and hence the process can be coherently decomposed and iterated. Moreover, this encoding provides a syntactic counterpart for the fusion of propositional bases.}, Publisher = {KLUWER ACADEMIC PUBL}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Benferhat, S (Corresponding Author), Univ Toulouse 3, CNRS, IRIT, 118 Route Narbonne, F-31062 Toulouse 4, France. Univ Toulouse 3, CNRS, IRIT, F-31062 Toulouse 4, France.}, DOI = {10.1023/A:1014446411602}, ISSN = {1012-2443}, Keywords = {fusion; merging operators; possibilistic logic}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Affiliations = {Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse; Universite Toulouse III - Paul Sabatier; Centre National de la Recherche Scientifique (CNRS)}, ResearcherID-Numbers = {Benferhat, Salem/AAM-4101-2021}, Cited-References = {{[}Anonymous], 1993, 12 ACM SIGACT SIGMOD. {[}Anonymous], 1988, P 7 NATL C AM ASS AR. {[}Anonymous], 1988, KNOWLEDGE FLUX. Baral C., 1992, Computational Intelligence, V8, P45, DOI 10.1111/j.1467-8640.1992.tb00337.x. Benferhat S., 1997, Aggregation and Fusion of Imperfect Information, P141. BENFERHAT S, 1999, 3 INT C KNOWL BAS IN, P170. 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WILLIAMS MA, 1995, P 14 INT JOINT C ART, P1541. Yager R.R., 1997, The Ordered Weighted Averaging Operators: Theory and Applications.}, Number-of-Cited-References = {23}, Times-Cited = {59}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Ann. Math. Artif. Intell.}, Doc-Delivery-Number = {536MP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000174706800010}, DA = {2026-04-14}, } @article{ WOS:000277149800006, Author = {Zhou, Zhijie and Hu, Changhua and Chen, Maoyin and He, Huafeng and Zhang, Bangcheng}, Title = {An improved fuzzy Kalman filter for state estimation of non-linear systems}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, Year = {2010}, Volume = {41}, Number = {5}, Pages = {537-546}, Abstract = {The extended fuzzy Kalman filter (EFKF) of non-linear systems which can deal with fuzzy uncertainty effectively has been developed recently. But it seems to be inapplicable to the cases where the states change abruptly or there exist model mismatches in non-linear systems. Therefore, based on the EFKF, a new concept of the improved fuzzy Kalman filter (IFKF) is proposed in this article. Due to the introduction of the extension orthogonality principle given as a criterion to design the new algorithm, the IFKF can track the abrupt changes of the states and has definite robustness against the model mismatches. Finally, computer simulations with a MIMO nonlinear model are presented, which illustrate that the proposed IFKF has the strong tracking ability and robustness against the model mismatches.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Zhou, ZJ (Corresponding Author), High Tech Inst Xian, Xian 710025, Shaanxi, Peoples R China. Zhou, Zhijie; Hu, Changhua; He, Huafeng, High Tech Inst Xian, Xian 710025, Shaanxi, Peoples R China. Zhou, Zhijie; Chen, Maoyin, Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China. Zhang, Bangcheng, Changchun Univ Technol, Sch Mech Engn, Changchun 130012, Jilin, Peoples R China.}, DOI = {10.1080/00207720903072324}, ISSN = {0020-7721}, EISSN = {1464-5319}, Keywords = {possibility theory; fuzzy uncertainty; Kalman filtering; EFKF; IFKF; non-linear systems}, Research-Areas = {Automation \& Control Systems; Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Computer Science, Theory \& Methods; Operations Research \& Management Science}, Affiliations = {Rocket Force University of Engineering; Tsinghua University; Changchun University of Technology}, Cited-References = {CHEN G, 1997, IEEE T AERO ELEC SYS, V33, P251. Chen GR, 1998, INFORM SCIENCES, V109, P197, DOI 10.1016/S0020-0255(98)10002-6. Longo D, 2002, CLIMBING AND WALKING ROBOTS, P263. Matía F, 2006, FUZZY SET SYST, V157, P2145, DOI 10.1016/j.fss.2006.05.003. McGinnity S, 1997, INT J SYST SCI, V28, P643, DOI 10.1080/00207729708929425. Oussalah M, 2000, INFORM SCIENCES, V130, P85, DOI 10.1016/S0020-0255(00)00076-1. Simon D., 2003, Applied Soft Computing, V3, P191. Trajanoski Z, 1996, COMPUT METH PROG BIO, V50, P265, DOI 10.1016/0169-2607(96)01756-7. Wang D, 2004, COMPUT CHEM ENG, V28, P2523, DOI 10.1016/j.compchemeng.2004.06.013. Wu ZQ, 1997, INT J SYST SCI, V28, P335, DOI 10.1080/00207729708929393. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. Zhou DH, 1996, INT J CONTROL, V65, P295, DOI 10.1080/00207179608921698.}, Number-of-Cited-References = {12}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {19}, Journal-ISO = {Int. J. Syst. Sci.}, Doc-Delivery-Number = {589LO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000277149800006}, DA = {2026-04-14}, } @article{ WOS:000396714600017, Author = {Mohammed, Ahmed and Wang, Qian}, Title = {Developing a meat supply chain network design using a multi-objective possibilistic programming approach}, Journal = {BRITISH FOOD JOURNAL}, Year = {2017}, Volume = {119}, Number = {3}, Pages = {690-706}, Abstract = {Purpose - The purpose of this paper is to present a study in developing a cost-effective meat supply chain network design aiming to minimizing the total cost of transportation, the number of transportation vehicles and the delivery time of meat products. The developed model was also used for determining the optimum numbers and allocations of farms and abattoirs that need to be established and the optimal quantity flow of livestock from farms to abattoirs and meat products from abattoirs to retailers. Design/methodology/approach - A multi-objective possibilistic programming model was formulated with a focus on minimizing the total cost of transportation, the number of transportation vehicles and the delivery time of meat products. Three sets of Pareto solutions were obtained using the three different solution methods. These methods are the LP-metrics method, the epsilon-constraint method and the weighted Tchebycheff method, respectively. The TOPSIS method was used for seeking a best Pareto solution as a trade-off decision when optimizing the three conflicting objectives. Findings - A case study was also applied for examining the effectiveness and applicability of the developed multi-objective model and the proposed solution methods. The research concludes that the.-constraint method has the superiority over the other two proposed methods as it offers a better solution outcome. Research limitations/implications - This work addresses as interesting avenues for further research on exploring the delivery planner under different types of uncertainties and transportation means. Also, environmentalism has been increasingly becoming a significant global problem in the present century. Thus, the presented model could be extended to include the environmental aspects as an objective function. Practical implications - The developed design methodology can be utilized for food supply chain designers. Also, it could be applied to realistic problems in the field of supply chain management. Practical implications - The developed design methodology can be utilized for food supply chain designers. Also, it could be applied to realistic problems in the field of supply chain management. Originality/value - The paper presents a methodology that can be used for tackling a multi-objective optimization problem of a meat supply chain network design. The proposed optimization method has the potential in solving the similar issue providing a compromising solution due to conflicting objectives in which each needs to be achieved toward an optimum outcome to survive in the competitive sector of food supply chains network.}, Publisher = {EMERALD GROUP PUBLISHING LTD}, Address = {HOWARD HOUSE, WAGON LANE, BINGLEY BD16 1WA, W YORKSHIRE, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Mohammed, A (Corresponding Author), Univ Portsmouth, Sch Engn, Portsmouth, Hants, England. Mohammed, Ahmed; Wang, Qian, Univ Portsmouth, Sch Engn, Portsmouth, Hants, England.}, DOI = {10.1108/BFJ-10-2016-0475}, ISSN = {0007-070X}, EISSN = {1758-4108}, Keywords = {Multi-objective optimization; Meat; Management; Supply chain design; Possibilistic}, Keywords-Plus = {STOCHASTIC-MODEL; LOCATION; OPTIMIZATION; UNCERTAINTY; ALLOCATION; DECISIONS; INVENTORY; ALGORITHM}, Research-Areas = {Agriculture; Food Science \& Technology}, Web-of-Science-Categories = {Agricultural Economics \& Policy; Food Science \& Technology}, Author-Email = {ahmed.mohammed@port.ac.uk}, Affiliations = {University of Portsmouth}, ResearcherID-Numbers = {Mohammed, Ahmed/U-3258-2019}, ORCID-Numbers = {Mohammed, Ahmed/0000-0002-8474-9208}, Cited-References = {Aliev RA, 2007, INFORM SCIENCES, V177, P4241, DOI 10.1016/j.ins.2007.04.012. Alonso-Ayuso A, 2007, SORT-STAT OPER RES T, V31, P109. {[}Anonymous], SUPPLY CHAIN MANAG R. Chan P. T. S., 2004, OMEGA, V33, P345. Chankong V., 1983, MULTIOBJECTIVE DECIS. Chen CL, 2004, COMPUT CHEM ENG, V28, P1131, DOI 10.1016/j.compchemeng.2003.09.014. Deb K., 2010, Multi-objective optimization using evolutionary algorithms. Ehrgott M., 2005, Multicriteria optimization, DOI DOI 10.1007/3-540-27659-9. El-Sayed M, 2010, COMPUT IND ENG, V58, P423, DOI 10.1016/j.cie.2008.09.040. Farhang B, 2015, J CLEAN PROD, V15, P959. Gholamian N, 2015, APPL SOFT COMPUT, V37, P585, DOI 10.1016/j.asoc.2015.08.041. Jiménez M, 2007, EUR J OPER RES, V177, P1599, DOI 10.1016/j.ejor.2005.10.002. Kannan D, 2013, J CLEAN PROD, V47, P355, DOI 10.1016/j.jclepro.2013.02.010. Konak A, 2006, RELIAB ENG SYST SAFE, V91, P992, DOI 10.1016/j.ress.2005.11.018. Listes O, 2007, COMPUT OPER RES, V34, P417, DOI 10.1016/j.cor.2005.03.007. Meier R.L., 2012, J IND TEC, V20, P1. Miettinen K., 1998, Nonlinear multiobjective optimization, V12. Mohammed A., 2016, INT J FOOD PROPERTIE. Niknamfar AH, 2015, IND MANAGE DATA SYST, V115, P1086, DOI 10.1108/IMDS-03-2015-0073. 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Snyder LV, 2006, IIE TRANS, V38, P537, DOI 10.1080/07408170500216480. Sourirajan K, 2009, EUR J OPER RES, V197, P599, DOI 10.1016/j.ejor.2008.07.038. Validi S, 2014, INT J PROD ECON, V152, P71, DOI 10.1016/j.ijpe.2014.02.003. Venkatesan V., 2012, INT J LOGISTICS SYST, V11, P375, DOI DOI 10.1504/IJLSM.2012.045919. Wang HF, 2010, J ENVIRON MANAGE, V91, P2148, DOI 10.1016/j.jenvman.2010.05.009. Wang JT, 2007, EUR J OPER RES, V177, P1044, DOI 10.1016/j.ejor.2005.12.032. Wang Q, 2010, INT J COMPUT INTEG M, V23, P565, DOI 10.1080/09511921003706215. Zarandi MHF, 2011, INT J ADV MANUF TECH, V56, P809, DOI 10.1007/s00170-011-3212-y.}, Number-of-Cited-References = {39}, Times-Cited = {40}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {34}, Journal-ISO = {Br. Food J.}, Doc-Delivery-Number = {EO5EA}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000396714600017}, DA = {2026-04-14}, } @article{ WOS:A1991FZ33600005, Author = {INUIGUCHI, M and KUME, Y}, Title = {ON THE CONCEPTS OF NONDOMINATED SOLUTIONS FOR MULTIOBJECTIVE LINEAR-PROGRAMMING PROBLEMS WITH INTERVAL-COEFFICIENTS}, Journal = {JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN}, Year = {1991}, Volume = {34}, Number = {1}, Pages = {58-86}, Month = {MAR}, Abstract = {The coefficients of linear programming problems have been assumed to be determined as crisp values by the experts. However, the knowledge of the experts is not always so accurate to determine them as crisp values. The experts often have vague or imprecise knowledge of the coefficients. In such cases, it is not sufficient to fix the coefficients definitely. It is more sufficient to determine them only as regions in which the coefficients possibly take. From this point of view, the inexact linear programming, the interval linear programming and possibilistic linear programming have been proposed. In multiobjective linear programming, the ones with interval coefficients or with fuzzy coefficients have been proposed and the concept of efficiency is extended. Bitran directly extended the efficiency to multiobjective linear programming problem with interval objective functions: {[}GRAPHICS] where A is an m by n matrix, b and x are respectively m and n vectors. PHI is a set of p by n matrices with components C(ij) in the interval {[}l(ij), u(ij)], i = 1,2, ..., p and j = 1,2, ..., n. By Bitran, it was pointed out that two kinds of efficient solutions can be considered. In this paper, the solution concepts for the interval multiobjective linear program are proposed in a different manner from Bitran's approach. First, given a reflective domination relation in the objective space, a strong (nonreflective) domination relation is defined. The domination relations in the decision space are composed from the domination relations in the objective space, and using them the nonreflective domination relations are defined. The properties of nonreflective domination relations are investigated. Next, four concepts of nondominated solutions for the interval multiobjective linear programming problem, i.e. possibly nondominated solutions, necessarily nondominated solutions, strong possibly nondominated solutions and weak necessarily nondominated solutions, are defined using four nonreflective domination relations. The properties of these nondominated solutions are discussed and it is shown than an arbitrary element of each nondominated solution set can be expressed by a convex combination of the corresponding nondominated extreme points. Moreover, the relationships with Bitran's two efficient solutions are clarified. Two of four nondominated solutions are equivalent to Bitran's two efficient solutions and the others are intermediated ones between them.}, Publisher = {ELSEVIER SCI LTD}, Address = {125 London Wall, London, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {UNIV OSAKA PREFECTURE, SAKAI, OSAKA 591, JAPAN.}, DOI = {10.15807/jorsj.34.58}, ISSN = {0453-4514}, EISSN = {1878-6871}, Keywords-Plus = {SETS}, Research-Areas = {Operations Research \& Management Science}, Web-of-Science-Categories = {Operations Research \& Management Science}, Affiliations = {Osaka Metropolitan University}, Cited-References = {BARD JF, 1984, EUR J OPER RES, V16, P107, DOI 10.1016/0377-2217(84)90318-7. BITRAN GR, 1980, MANAGE SCI, V26, P694, DOI 10.1287/mnsc.26.7.694. BUCKLEY JJ, 1988, FUZZY SET SYST, V25, P1, DOI 10.1016/0165-0114(88)90094-2. BUCKLEY JJ, 1988, FUZZY SET SYST, V26, P135, DOI 10.1016/0165-0114(88)90013-9. 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TANAKA H, 1984, FUZZY SET SYST, V13, P1, DOI 10.1016/0165-0114(84)90022-8. VANDEPANNE C, 1975, MANAGE SCI, V21, P1014, DOI 10.1287/mnsc.21.9.1014. WENDELL RE, 1985, MANAGE SCI, V31, P564, DOI 10.1287/mnsc.31.5.564. Yu PL, 1974, J OPTIMIZ THEORY APP, V14, P319, DOI 10.1007/BF00932614. YU PL, 1976, MANAGE SCI, V23, P159, DOI 10.1287/mnsc.23.2.159. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. 1988, J OPER RES SOC JPN, V31, P121. 1987, J OPER RES SOC JPN, V30, P449.}, Number-of-Cited-References = {26}, Times-Cited = {0}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {J. Oper. Res. Soc. Jpn.}, Doc-Delivery-Number = {FZ336}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1991FZ33600005}, OA = {Bronze}, DA = {2026-04-14}, } @article{ WOS:A1996UP09600004, Author = {Simonelli, MR}, Title = {On fuzzy interactive knowledge}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1996}, Volume = {80}, Number = {2}, Pages = {159-165}, Month = {JUN 10}, Abstract = {The actions that individuals take depend on common knowledge among individuals. We set this connection in a framework of fuzzy events on a sigma field over a set of sample points. If we identify a set in a sigma field with its characteristic function, then events in the usual sense of probability theory are also fuzzy events. We give a new definition of a partition of fuzzy events making it possible to pursue the theorems which are extensions of the agreement theorems. These theorems are of some interest in areas in which people's beliefs about each other's beliefs are of importance, such as financial markets theory. Moreover, the significance of our formal system for economics is that the theory stresses the inability of a person to discriminate clearly between an event and its negation. A theory with such an emphasis might be found useful by researchers studying `'incomplete contracts''. By means of examples, guidance is provided regarding the significance of the theory for finance.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Simonelli, MR (Corresponding Author), IUN,FAC ECON,VIA ACTON 38,I-80133 NAPLES,ITALY.}, DOI = {10.1016/0165-0114(95)00134-4}, ISSN = {0165-0114}, Keywords = {fuzzy sets; operators; knowledge acquisition and learning; common knowledge; measures of information; possibility theory; behavioral and social science; management; decision making; finance and financial markets theory}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Cited-References = {AUMANN RJ, 1976, ANN STAT, V4, P1236, DOI 10.1214/aos/1176343654. AUMANN RJ, 1992, NOTES INTERACTIVE EP. BAICINO L, 1995, J MATH ECON, V24, P73. ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4.}, Number-of-Cited-References = {4}, Times-Cited = {1}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {0}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {UP096}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1996UP09600004}, DA = {2026-04-14}, } @article{ WOS:000598522500004, Author = {Peykani, Pejman and Mohammadi, Emran and Emrouznejad, Ali}, Title = {An adjustable fuzzy chance-constrained network DEA approach with application to ranking investment firms}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2021}, Volume = {166}, Month = {MAR 15}, Abstract = {This paper presents a novel approach for performance appraisal and ranking of decision-making units (DMUs) with two-stage network structure in the presence of imprecise and vague data. In order to achieve this goal, two stage data envelopment analysis (DEA) model, adjustable possibilistic programming (APP), and chance constrained programming (CCP) are applied to propose the new fuzzy network data envelopment analysis (FNDEA) approach. The main advantages of the proposed FNDEA approach can be summarized as follows: linearity of the proposed FNDEA models, unique efficiency decomposing under ambiguity, capability to extending for other network structures. Moreover, FNDEA approach can be applied for ranking of two-stage DMUs under fuzzy environment in three stages: 1) solving the proposed FNDEA model for all optimistic pessimistic viewpoints and confidence levels, 2) then plotting the results and drawing the surface of all efficiency scores, 3) and finally calculate the volume of the three-dimensional shape in below the efficiency surface. This volume can be as ranking criterion. Remarkably, the presented fuzzy network DEA approach is implemented for performance appraisal and ranking of investment firms (IFs) with two-stage processes including operational and portfolio management process. Illustrative results of the real-life case study show that the proposed approach is effective and practically very useful.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Emrouznejad, A (Corresponding Author), Aston Univ, Aston Business Sch, Birmingham, W Midlands, England. Peykani, Pejman; Mohammadi, Emran, Iran Univ Sci \& Technol, Sch Ind Engn, Tehran, Iran. Emrouznejad, Ali, Aston Univ, Aston Business Sch, Birmingham, W Midlands, England.}, DOI = {10.1016/j.eswa.2020.113938}, Article-Number = {113938}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Network data envelopment analysis; Two-stage structure; Fuzzy chance-constrained programming; Adjustable possibilistic programming; Investment firms}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; FUND PERFORMANCE-APPRAISAL; ANALYSIS MODEL; EFFICIENCY DECOMPOSITION; 2-STAGE SYSTEMS; NECESSITY; EVALUATE; OUTPUTS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {pejman.peykani@yahoo.com e\_mohammadi@iust.ac.ir a.emrouznejad@aston.ac.uk}, Affiliations = {Iran University Science \& Technology; Aston University}, ResearcherID-Numbers = {Peykani, Pejman/AAB-4949-2019 Emrouznejad, Ali/C-6707-2018 Mohammadi, Emran/S-9301-2018}, ORCID-Numbers = {Peykani, Pejman/0000-0001-7486-6796 Emrouznejad, Ali/0000-0001-8094-4244 Mohammadi, Emran/0000-0001-9965-1118}, Cited-References = {Ameri Z, 2019, SOFT COMPUT, V23, P12821, DOI 10.1007/s00500-019-03835-5. 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Zhou XY, 2019, INFORM SCIENCES, V504, P394, DOI 10.1016/j.ins.2019.07.033. Zhou XY, 2019, OMEGA-INT J MANAGE S, V85, P68, DOI 10.1016/j.omega.2018.05.012. Zhou XY, 2018, J CLEAN PROD, V170, P773, DOI 10.1016/j.jclepro.2017.09.160. ZIONTS S, 1968, NAV RES LOGIST Q, V15, P449.}, Number-of-Cited-References = {79}, Times-Cited = {58}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {41}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {PE7DI}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000598522500004}, DA = {2026-04-14}, } @article{ WOS:001361445200001, Author = {Mahmoodirad, Ali and Pamucar, Dragan and Niroomand, Sadegh and Simic, Vladimir}, Title = {Data envelopment analysis based performance evaluation of hospitals - Implementation of novel picture fuzzy BCC model}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2025}, Volume = {263}, Month = {MAR 5}, Abstract = {In the real-world performance evaluation problems by data envelopment analysis (DEA), dealing with deterministic type data may not be such effective as the real performance of a decision making unit may fluctuate in a period of time. This issue can be an important cause for using fuzzy DEA models for a fair performance evaluation. In this study for the first time a BCC DEA model with picture fuzzy type data is introduced. The picture fuzzy sets and numbers provide more advantage than the classical fuzzy numbers for decision makers to reflect the uncertain nature of a parameter. To tackle the introduced picture fuzzy BCC model, a credibility measure of the possibility theory is used. This is the first time that the possibility theory is extended to a picture fuzzy environment. Therefore, the proposed relations and formula are novel in this study. In addition, as a contribution, the proposed picture fuzzy BCC model and its solution procedure are applied to performance evaluation of a set of hospitals as a real case study. As computational study on the case study, first, according to the managers, the hospitals are evaluated and analyzed. Furthermore, a detailed sensitivity analysis with several experiments is performed to study the impact of the confidence level values of the proposed picture fuzzy credibility measure on the efficiency of the hospitals. According to the ANOVA test results, the considered experiments have significance value of zero which shows the high difference among the obtained results. In addition, a comparative study with the BCC models of the literature is done and the advantages of the proposed BCC model of this study are known. Finally, a detailed managerial insights are presented.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Pamucar, D (Corresponding Author), Univ Belgrade, Fac Org Sci, Dept Operat Res \& Stat, Belgrade, Serbia. Pamucar, D (Corresponding Author), Yuan Ze Univ, Dept Ind Engn \& Management, Taoyuan City 320315, Taiwan. Simic, V (Corresponding Author), Univ Belgrade, Fac Transport \& Traff Engn, Vojvode Stepe 305, Belgrade 11010, Serbia. Simic, V (Corresponding Author), Korea Univ, Coll Informat, Dept Comp Sci \& Engn, Seoul 02841, South Korea. Mahmoodirad, Ali, Islamic Azad Univ, Dept Math, Babol Branch, Babol, Iran. Pamucar, Dragan, Univ Belgrade, Fac Org Sci, Dept Operat Res \& Stat, Belgrade, Serbia. Pamucar, Dragan, Yuan Ze Univ, Dept Ind Engn \& Management, Taoyuan City 320315, Taiwan. Niroomand, Sadegh, Shiraz Univ Technol, Firouzabad Higher Educ Ctr, Dept Ind Engn, Shiraz, Iran. Simic, Vladimir, Univ Belgrade, Fac Transport \& Traff Engn, Vojvode Stepe 305, Belgrade 11010, Serbia. Simic, Vladimir, Korea Univ, Coll Informat, Dept Comp Sci \& Engn, Seoul 02841, South Korea.}, DOI = {10.1016/j.eswa.2024.125775}, EarlyAccessDate = {NOV 2024}, Article-Number = {125775}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Performance evaluation; Data envelopment analysis; Picture fuzzy sets and numbers; Possibility theory; Health care}, Keywords-Plus = {DISTANCE MEASURE; ANALYSIS DEA; MANAGEMENT; EFFICIENCY; QUALITY}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ali.mahmoodirad@iau.ac.ir dragan.pamucar@fon.bg.ac.rs niroomand@sutech.ac.ir vsima@sf.bg.ac.rs}, Affiliations = {Islamic Azad University; University of Belgrade; Yuan Ze University; Shiraz University of Technology; University of Belgrade; Korea University}, ResearcherID-Numbers = {Mahmoodirad, Ali/AAN-3047-2021 Pamucar, Dragan/AAG-8288-2019 }, ORCID-Numbers = {Mahmoodirad, Ali/0000-0002-0018-5389 Niroomand, Sadegh/0000-0001-8196-3906}, Cited-References = {Akram M, 2022, IRAN J FUZZY SYST, V19, P29, DOI 10.22111/IJFS.2022.7208. 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Appl.}, Doc-Delivery-Number = {N0P2G}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001361445200001}, DA = {2026-04-14}, } @article{ WOS:000283540200007, Author = {Martowicz, Adam and Uhl, Tadeusz}, Title = {Assessment of variation of natural frequencies of FE model based on the application of alpha-cut strategy and genetic algorithms}, Journal = {FINITE ELEMENTS IN ANALYSIS AND DESIGN}, Year = {2011}, Volume = {47}, Number = {1}, Pages = {63-71}, Month = {JAN}, Abstract = {Engineering tools which are currently available within the realm of virtual prototyping allow for the assessment of variation of mechanical structure properties. This goal can be achieved through the application of uncertainty analysis. Both probabilistic and possibilistic approaches are employed for studying uncertainty propagation in FE models. Numerical simulations enable shortening time-to-market for designed mechanical systems. However, great number of iterations required in non-deterministic analyses may dramatically reduce the scope of possible applications, especially in respect of time-consuming dynamic analyses. In the dissertation, the effective CFGA method is proposed to assess the variations of natural frequencies of FE model. Briefly, the advantages of the method include reduced number of eigenproblems to solve in dynamic analyses and relatively high quality of results. Hence the significant reduction of computational time. It is of a great importance, especially in the case when a large number of degrees of freedom ar considered in an FE model and, as a consequence, a solution of dynamic problem is very time-consuming. The paper includes selected application of described method. (C) 2010 Elsevier Ltd All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Martowicz, A (Corresponding Author), AGH Univ Sci \& Technol, Dept Robot \& Mechatron, Al Mickiewicza 30, PL-30059 Krakow, Poland. Martowicz, Adam; Uhl, Tadeusz, AGH Univ Sci \& Technol, Dept Robot \& Mechatron, PL-30059 Krakow, Poland.}, DOI = {10.1016/j.finel.2010.07.012}, ISSN = {0168-874X}, EISSN = {1872-6925}, Keywords = {Dynamic properties; Eigenproblem; Uncertainty analysis; Genetic algorithms; Fuzzy arithmetic; Alpha-cut strategy}, Keywords-Plus = {FINITE-ELEMENT APPROACH; EIGENVALUE PROBLEM; UNCERTAIN; BOUNDS}, Research-Areas = {Mathematics; Mechanics}, Web-of-Science-Categories = {Mathematics, Applied; Mechanics}, Author-Email = {adam.martowicz@agh.edu.pl}, Affiliations = {AGH University of Krakow}, ResearcherID-Numbers = {Uhl, Tadeusz/J-2815-2012 Martowicz, Adam/A-9943-2013}, ORCID-Numbers = {Martowicz, Adam/0000-0001-9630-0355}, Cited-References = {Adhikari S, 2007, COMPUT MECH, V40, P739, DOI 10.1007/s00466-006-0136-8. Chen L, 1997, FINITE ELEM ANAL DES, V27, P69, DOI 10.1016/S0168-874X(97)00005-X. Chen SH, 2003, FINITE ELEM ANAL DES, V39, P419, DOI 10.1016/S0168-874X(02)00082-3. 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SKRZYPCZYK J, 2001, P AI MECH 2001 GLIW, P243. Vom Scheidt Jurgen., 1983, Random eigenvalue problems.}, Number-of-Cited-References = {32}, Times-Cited = {2}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {5}, Journal-ISO = {Finite Elem. Anal. Des.}, Doc-Delivery-Number = {671VT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000283540200007}, DA = {2026-04-14}, } @article{ WOS:000171448100002, Author = {Dubois, D and Prade, H}, Title = {Possibility theory, probability theory and multiple-valued logics: A clarification}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2001}, Volume = {32}, Number = {1-4}, Pages = {35-66}, Abstract = {There has been a lon-lasting misunderstanding in the literature of artificial intelligence and uncertainty modeling, regarding the role of fuzzy set theory and many-valued logics. The recurring question is that of the mathematical and pragmatic meaningfulness of a compositional calculus and the validity of the excluded middle law. This confusion pervades the early developments of probabilistic logic, despite early warnings of some philosophers of probability. This paper tries to clarify this situation. It emphasizes three main points. First. it suggests that the root of the controversies lies in the unfortunate confusion between degrees of belief and what logicians call ``degrees of truth{''}. The latter are usually compositional, while the former cannot be so. This claim is first illustrated by laying bare the non-compositional belief representation embedded in the standard propositional calculus. It turns out to be an all-or-nothing version of possibility theory. This framework is then extended to discuss the case of fuzzy logic versus graded possibility theory. Next, it is demonstrated that any belief representation where compositionality is taken for granted is bound to at worst collapse to a Boolean truth assignment and at best to a poorly expressive tool. Lastly, some claims pertaining to an alleged compositionality of possibility theory are refuted, thus clarifying a pervasive confusion between possibility theory axioms and fuzzy set basic connectives.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Dubois, D (Corresponding Author), Univ Toulouse 3, IRIT, CNRS, 118 Route Narbonne, F-31062 Toulouse 4, France. Univ Toulouse 3, IRIT, CNRS, F-31062 Toulouse 4, France.}, DOI = {10.1023/A:1016740830286}, ISSN = {1012-2443}, EISSN = {1573-7470}, Keywords-Plus = {INDEPENDENCE CONCEPTS; FUZZY; COMBINATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {dubois@irit.fr prade@irit.fr}, Affiliations = {Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse; Universite Toulouse III - Paul Sabatier; Centre National de la Recherche Scientifique (CNRS)}, Cited-References = {Adams E.W., 1975, Synthese, Vol, V30 No, P429, DOI {[}10.1007/BF00485053, DOI 10.1007/BF00485053]. ALELIUNAS R, 1990, UNCERTAINTY AL, V4, P199. ALELIUNAS R, 1990, KNOWLEDGE REPRESENTA, P387. 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ZADEH LA, 1982, EMPIRICAL SEMANTICS, V1, P281. Zimmermann H.J., 2001, Fuzzy Set Theory-and Its Applications.}, Number-of-Cited-References = {90}, Times-Cited = {294}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {40}, Journal-ISO = {Ann. Math. Artif. Intell.}, Doc-Delivery-Number = {480EB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Arts & Humanities Citation Index (A&HCI)}, Unique-ID = {WOS:000171448100002}, DA = {2026-04-14}, } @article{ WOS:000284389700030, Author = {Qin, Rui and Liu, Yan-Kui and Liu, Zhi-Qiang}, Title = {Methods of critical value reduction for type-2 fuzzy variables and their applications}, Journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, Year = {2011}, Volume = {235}, Number = {5}, Pages = {1454-1481}, Month = {JAN 1}, Abstract = {A type-2 fuzzy variable is a map from a fuzzy possibility space to the real number space; it is an appropriate tool for describing type-2 fuzziness. This paper first presents three kinds of critical values (CVs) for a regular fuzzy variable (RFV), and proposes three novel methods of reduction for a type-2 fuzzy variable. Secondly, this paper applies the reduction methods to data envelopment analysis (DEA) models with type-2 fuzzy inputs and outputs, and develops a new class of generalized credibility DEA models. According to the properties of generalized credibility, when the inputs and outputs are mutually independent type-2 triangular fuzzy variables, we can turn the proposed fuzzy DEA model into its equivalent parametric programming problem, in which the parameters can be used to characterize the degree of uncertainty about type-2 fuzziness. For any given parameters, the parametric programming model becomes a linear programming one that can be solved using standard optimization solvers. Finally, one numerical example is provided to illustrate the modeling idea and the efficiency of the proposed DEA model. (C) 2010 Elsevier By. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liu, YK (Corresponding Author), Hebei Univ, Coll Math \& Comp Sci, Baoding 071002, Hebei, Peoples R China. Qin, Rui; Liu, Yan-Kui, Hebei Univ, Coll Math \& Comp Sci, Baoding 071002, Hebei, Peoples R China. Liu, Zhi-Qiang, City Univ Hong Kong, Sch Creat Media, Hong Kong, Hong Kong, Peoples R China.}, DOI = {10.1016/j.cam.2010.08.031}, ISSN = {0377-0427}, EISSN = {1879-1778}, Keywords = {Fuzzy possibility theory; Type-2 fuzzy variable; Critical value; Reduction methods; Data envelopment analysis; Parametric programming}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; DECISION-MAKING UNITS; ANALYSIS DEA; EFFICIENCY; PERFORMANCES; SYSTEMS; MODELS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {qinrui07@163.com yliu@hbu.edu.cn zq.liu@cityu.edu.hk}, Affiliations = {Hebei University; City University of Hong Kong}, ResearcherID-Numbers = {Liu, Yan-Kui/IUN-3017-2023}, ORCID-Numbers = {Liu, Yan-Kui/0000-0002-3106-6761}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}60974134]; Natural Science Foundation of Hebei Province {[}A2008000563]; Program for One Hundred Excellent and Innovative Talents in Colleges and Universities of Hebei Province}, Funding-Text = {The authors wish to thank Professor Goovaerts (the Principal Editor of this journal) and the anonymous referees for their valuable suggestions that have been incorporated into this paper. This work was supported by the National Natural Science Foundation of China (No. 60974134), the Natural Science Foundation of Hebei Province (A2008000563), and the Program for One Hundred Excellent and Innovative Talents in Colleges and Universities of Hebei Province.}, Cited-References = {{[}Anonymous], IEEE T FUZZY SYSTEMS. BANKER RD, 1984, MANAGE SCI, V30, P1078, DOI 10.1287/mnsc.30.9.1078. BANKER RD, 1993, MANAGE SCI, V39, P1265, DOI 10.1287/mnsc.39.10.1265. Bazaraa MokhtarS., 1979, Nonlinear Programming: Theory and Algorithms. CHARNES A, 1978, EUR J OPER RES, V2, P429, DOI 10.1016/0377-2217(78)90138-8. Chu MT, 2008, J INTELL MANUF, V19, P257, DOI 10.1007/s10845-008-0079-3. Cook WD, 2009, EUR J OPER RES, V192, P1, DOI 10.1016/j.ejor.2008.01.032. Cooper W., 2007, Data envelopement analysis. A comprehensive text with models, applications, V2nd. Cooper WW, 1998, J PROD ANAL, V9, P53, DOI 10.1023/A:1018320430249. Cooper WW, 1999, J PROD ANAL, V11, P5, DOI 10.1023/A:1007701304281. 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ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI {[}10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]. Zeng J., 2007, J UNCERTAIN SYSTEMS, V1, P163.}, Number-of-Cited-References = {36}, Times-Cited = {109}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {44}, Journal-ISO = {J. Comput. Appl. Math.}, Doc-Delivery-Number = {682GP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000284389700030}, DA = {2026-04-14}, } @article{ WOS:000292515400006, Author = {Mikhailov, Ludmil and Didehkhani, Hosein and Sadi-Nezhad, Soheil}, Title = {WEIGHTED PRIORITIZATION MODELS IN THE FUZZY ANALYTIC HIERARCHY PROCESS}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2011}, Volume = {10}, Number = {4}, Pages = {681-694}, Month = {JUL}, Abstract = {The paper deals with the group prioritization problem in the fuzzy analytic hierarchy process. We extend the fuzzy preference programming method to fuzzy group prioritization by introducing important weights of decision-makers (DMs). The modified prioritization problem is represented as a weighted fuzzy goal programming model. Additionally, we represent the uncertain DMs' importance weights as fuzzy numbers and modify the goal programming model by a possibilistic approach. Both proposed models transform the initial prioritization problems with fuzzy or crisp important weights into equivalent crisp linear programs. Unlike the known fuzzy prioritization methods, the proposed approach does not require an additional defuzzification procedure for final ranking of alternatives and can deal with incomplete set of comparison judgments.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Mikhailov, L (Corresponding Author), Univ Manchester, Manchester Business Sch, Manchester M13 9PL, Lancs, England. Mikhailov, Ludmil, Univ Manchester, Manchester Business Sch, Manchester M13 9PL, Lancs, England. Didehkhani, Hosein; Sadi-Nezhad, Soheil, Islamic Azad Univ, Sci \& Res Branch, Tehran, Iran.}, DOI = {10.1142/S0219622011004518}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Fuzzy AHP; fuzzy group prioritization; fuzzy decision-making; goal programming; fuzzy linear programming}, Keywords-Plus = {AHP}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {ludi.mikhailov@manchester.ac.uk h.didehkhani@gmail.com sadinejad@hotmail.com}, Affiliations = {University of Manchester; Islamic Azad University}, ORCID-Numbers = {Mikhailov, Ludmil/0000-0001-7172-7731 Didehkhani, Hosein/0000-0001-6165-0128}, Cited-References = {ACZEL J, 1983, J MATH PSYCHOL, V27, P93, DOI 10.1016/0022-2496(83)90028-7. 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Decis. Mak.}, Doc-Delivery-Number = {789KW}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000292515400006}, DA = {2026-04-14}, } @article{ WOS:000296987000006, Author = {Pourahmad, Saeedeh and Ayatollahi, Seyyed Mohammad Taghi and Taheri, S. Mahmoud and Agahi, Zahra Habib}, Title = {Fuzzy logistic regression based on the least squares approach with application in clinical studies}, Journal = {COMPUTERS \& MATHEMATICS WITH APPLICATIONS}, Year = {2011}, Volume = {62}, Number = {9}, Pages = {3353-3365}, Month = {NOV}, Abstract = {To model fuzzy binary observations, a new model named ``Fuzzy Logistic Regression{''} is proposed and discussed in this study. In fact, due to the vague nature of binary observations, no probability distribution can be considered for these data. Therefore, the ordinary logistic regression may not be appropriate. This study attempts to construct a fuzzy model based on possibility of success. These possibilities are defined by some linguistic terms such as..., low, medium, high.... Then, by use of the Extension principle, the logarithm transformation of ``possibilistic odds{''} is modeled based on a set of crisp explanatory variables observations. Also, to estimate parameters in the proposed model, the least squares method in fuzzy linear regression is used. For evaluating the model, a criterion named the ``capability index{''} is calculated. At the end, because of widespread applications of logistic regression in clinical studies and also, the abundance of vague observations in clinical diagnosis, the suspected cases to Systematic Lupus Erythematosus (SLE) disease is modeled based on some significant risk factors to detect the application of the model. The results showed that the proposed model could be a rational substituted model of an ordinary one in modeling the clinical vague status. (C) 2011 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Ayatollahi, SMT (Corresponding Author), Shiraz Univ Med Sci, Dept Biostat, Sch Med, Shiraz 713451874, Iran. Pourahmad, Saeedeh; Ayatollahi, Seyyed Mohammad Taghi, Shiraz Univ Med Sci, Dept Biostat, Sch Med, Shiraz 713451874, Iran. Taheri, S. Mahmoud, Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran. Agahi, Zahra Habib, Shiraz Univ Med Sci, Dept Rheumatol, Sch Med, Shiraz 713451874, Iran.}, DOI = {10.1016/j.camwa.2011.08.050}, ISSN = {0898-1221}, EISSN = {1873-7668}, Keywords = {Fuzzy logistic regression; Possibility of success; Linguistic term; Possibilistic odds; Capability index; Clinical vague status}, Keywords-Plus = {LINEAR-REGRESSION; MODEL}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {ayatolahim@sums.ac.ir}, Affiliations = {Shiraz University of Medical Science; Isfahan University of Technology; Shiraz University of Medical Science}, ResearcherID-Numbers = {Pourahmad, Saeedeh/S-9117-2017 Taheri, S./N-3647-2017}, ORCID-Numbers = {Pourahmad, Saeedeh/0000-0002-7366-1059 Ayatollahi, Seyyed Mohammad Taghi/0000-0002-5691-9628 }, Cited-References = {{[}Anonymous], 1987, P 2 IFSA C. Bagley SC, 2001, J CLIN EPIDEMIOL, V54, P979, DOI 10.1016/S0895-4356(01)00372-9. 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Zimmerman H.-J., 1991, FUZZY SET THEORY ITS, Vsecond.}, Number-of-Cited-References = {30}, Times-Cited = {42}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {10}, Journal-ISO = {Comput. Math. Appl.}, Doc-Delivery-Number = {847QG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000296987000006}, DA = {2026-04-14}, } @article{ WOS:001524441500001, Author = {Zhang, Peng and Du, Beibei}, Title = {Fuzzy Mean-Variance Portfolio Selection Based on Machine Learning}, Journal = {COMPUTATIONAL ECONOMICS}, Year = {2025}, Month = {2025 JUL 5}, Abstract = {In this paper, the Machine Learning methods are applied to the fuzzy portfolio optimization research to deal with the uncertainties in financial markets. First, the trapezoidal fuzzy numbers are employed to model the prices of risky assets. The attribute parameters of these fuzzy numbers are estimated by predicting the stock's opening, closing, highest, and lowest prices using Machine Learning methods, including eXtreme Gradient Boosting, Elastic Net, and Random Forest. Second, based on the mathematical properties of possibility measures, the possibilistic mean and variance of the portfolio are calculated to assess return and risk. Third, considering the transaction costs, threshold constraints, and borrowing constraints, a new fuzzy mean-variance portfolio selection based on Machine Learning is proposed. Utilizing the measures of possibility, this model can be transformed into a quadratic programming problem. A pivoting algorithm can be employed to solve it. Finally, both in-sample and out-of-sample analyses are performed to assess model performance. The in-sample analysis examines how different constraints affect the efficient frontier. The out-of-sample analysis compares the performance of the predictive fuzzy mean-variance model with the predictive fuzzy equal-weight model, while also evaluating how variations in constraints influence the proposed model's effectiveness.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article; Early Access}, Language = {English}, Affiliation = {Zhang, P (Corresponding Author), South China Normal Univ, Sch Econ \& Management, Guangzhou 510006, Guangdong, Peoples R China. Zhang, Peng; Du, Beibei, South China Normal Univ, Sch Econ \& Management, Guangzhou 510006, Guangdong, Peoples R China.}, DOI = {10.1007/s10614-025-11017-9}, EarlyAccessDate = {JUL 2025}, ISSN = {0927-7099}, EISSN = {1572-9974}, Keywords = {Fuzzy portfolio selection; Mean-variance; Possibilistic measure; Machine Learning; Pivoting algorithm}, Keywords-Plus = {MODEL; ENTROPY}, Research-Areas = {Business \& Economics; Mathematics}, Web-of-Science-Categories = {Economics; Management; Mathematics, Interdisciplinary Applications}, Author-Email = {20181021@m.scnu.edu.cn iiauthor@gmail.com}, Affiliations = {South China Normal University}, Funding-Acknowledgement = {the Natural Science Foundation of Guang Dong Province {[}2024A1515011808]; Natural Science Foundation of Guang Dong Province}, Funding-Text = {This research was supported by the Natural Science Foundation of Guang Dong Province under nos. 2024A1515011808.}, Cited-References = {Abolmakarem S, 2023, COMPUT IND ENG, V183, DOI 10.1016/j.cie.2023.109450. 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Econ.}, Doc-Delivery-Number = {4QT7H}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:001524441500001}, DA = {2026-04-14}, } @article{ WOS:000220640500008, Author = {Utkin, LV}, Title = {Reliability models of m-out-of-n systems under incomplete information}, Journal = {COMPUTERS \& OPERATIONS RESEARCH}, Year = {2004}, Volume = {31}, Number = {10}, Pages = {1681-1702}, Month = {SEP}, Abstract = {Most methods of reliability analysis of m-out-of-n systems assume that the precise probability distributions of the component time to failure are available and the system components are independent. However, this assumption may be unreasonable in a wide scope of cases (software, human-machine systems). Therefore, imprecise reliability models of m-out-of-n systems are proposed in the paper under condition that there is only some partial information about component lifetime distributions including points of unknown distributions, probabilities on nested intervals, and interval mean times to failure. It is shown how the reliability assessments may vary with the type of the available information. The impact of the component independence condition on the reliability of systems is studied. (C) 2003 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Utkin, LV (Corresponding Author), Univ Munich, Inst Stat, Ludwigstr 33, D-80539 Munich, Germany. Univ Munich, Inst Stat, D-80539 Munich, Germany.}, DOI = {10.1016/S0305-0548(03)00115-1}, ISSN = {0305-0548}, EISSN = {1873-765X}, Keywords = {reliability; m-out-of-n system; imprecise probability theory; possibility measure}, Keywords-Plus = {UNCERTAINTY}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Engineering, Industrial; Operations Research \& Management Science}, Author-Email = {utkin@stat.uni-muenchen.de}, Affiliations = {University of Munich}, ResearcherID-Numbers = {Utkin, Lev/F-6480-2013}, ORCID-Numbers = {Utkin, Lev/0000-0002-5637-1420}, Cited-References = {Barlow R.E., 1981, STAT THEORY RELIABIL, DOI DOI 10.1016/J.RESS.2020.107133. BARLOW RE, 1984, IEEE T RELIAB, V33, P322, DOI 10.1109/TR.1984.5221843. DUBOIS D, 1992, FUZZY SET SYST, V49, P65, DOI 10.1016/0165-0114(92)90110-P. Dubois D., 1988, POSSIBILITY THEORY. 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Weichselberger K., 2001, ELEMENTARE GRUNDBEGR, V1.}, Number-of-Cited-References = {19}, Times-Cited = {10}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Comput. Oper. Res.}, Doc-Delivery-Number = {809MJ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000220640500008}, DA = {2026-04-14}, } @article{ WOS:000287075400001, Author = {Couso, Ines and Sanchez, Luciano}, Title = {Upper and lower probabilities induced by a fuzzy random variable}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2011}, Volume = {165}, Number = {1}, Pages = {1-23}, Month = {FEB 16}, Abstract = {We review two existing interpretations of fuzzy random variables. In the first one, the fuzzy random variable is viewed as a linguistic random variable. In the. second case, it represents some incomplete knowledge about an otherwise standard random variable. For each interpretation, the information provided by the fry is described by a specific model, namely a standard probability model and a second-order imprecise model, respectively. In this paper, we deal with an alternative interpretation. Guided by simple examples we will observe the usefulness of each interpretation when applied to particular situations. Then we will demonstrate that the new interpretation leads, in a natural way, to the pair of order infinity capacities. Furthermore, we show that they are formally related to the former models. These results can be applied in future works to make inferences from fuzzy sample data. The use of upper lower models instead of second-order models will enable us in the future to reach crisp decisions in some specific statistical problems. without adding any arbitrary information, and taking into account the imprecision in data. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Couso, I (Corresponding Author), Univ Oviedo, Dept Stat \& OR, Oviedo, Spain. Couso, Ines, Univ Oviedo, Dept Stat \& OR, Oviedo, Spain. Sanchez, Luciano, Univ Oviedo, Dept Comp Sci, Oviedo, Spain.}, DOI = {10.1016/j.fss.2010.10.005}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Imprecise probabilities; Second-order possibility measure; Fuzzy random variable; Belief function; Multi-valued mapping}, Keywords-Plus = {RULE-BASED CLASSIFIERS; MODEL; HYPOTHESES; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {couso@uniovi.es luciano@uniovi.es}, Affiliations = {University of Oviedo; University of Oviedo}, ResearcherID-Numbers = {Sanchez, Luciano/K-8715-2014 Couso, Inés/L-2134-2014 Couso, Inés/K-8715-2014}, ORCID-Numbers = {Sanchez, Luciano/0000-0002-2446-1915 Couso, Inés/0000-0002-1675-6203 Couso, Inés/0000-0002-1675-6203}, Funding-Acknowledgement = {MEC-FEDER {[}TIN2008-06681-C06-04, TIN2010-20900-C04-01]}, Funding-Text = {This work has been supported by MEC-FEDER Grants TIN2008-06681-C06-04 and TIN2010-20900-C04-01. This financial support is gratefully acknowledged. We thank two anonymous referees for their detailed comments and corrections that helped us to significantly improve the presentation and the content.}, Cited-References = {{[}Anonymous], 1979, Wiley series in probability and mathematical statistics. Baudrit C, 2007, INT J APPROX REASON, V45, P82, DOI 10.1016/j.ijar.2006.07.001. Couso I, 2004, ADV SOFT COMP, P133. Couso I, 2004, INFORM SCIENCES, V159, P109, DOI 10.1016/S0020-0255(03)00192-0. Couso I, 2001, INT J UNCERTAIN FUZZ, V9, P249, DOI 10.1016/S0218-4885(01)00078-8. COUSO I, 2002, STAT MODELING ANAL M, P127. Couso I, 2008, FUZZY SET SYST, V159, P237, DOI 10.1016/j.fss.2007.09.004. Couso I, 2011, INT J APPROX REASON, V52, P240, DOI 10.1016/j.ijar.2010.07.009. Couso I, 2009, IEEE T FUZZY SYST, V17, P1070, DOI 10.1109/TFUZZ.2009.2021617. 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Walley P, 1997, INT J GEN SYST, V26, P337, DOI 10.1080/03081079708945189.}, Number-of-Cited-References = {46}, Times-Cited = {41}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {20}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {717VL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000287075400001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000166954500015, Author = {Wang, J}, Title = {Ranking engineering design concepts using a fuzzy outranking preference model}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2001}, Volume = {119}, Number = {1}, Pages = {161-170}, Month = {APR 1}, Abstract = {The conceptual design evaluation is important, since the poor selection of a design concept can rarely be compensated at later design stages. Due to subjective and incomplete design information collected at the early design stage, it is difficult to select the ``best{''} design concepts from a number of alternatives. To tackle this problem, an outranking preference model based on the possibility theory is developed in this paper. The fuzzy outranking relation is developed to model the imprecise preference relation between each pair of design concepts. A design concept outranked others if and only if there is sufficient evidence to support that the concept is superior or at least equal to the others. According to the fuzzy outranking relation identified between each pair of design concepts, three types of indices are developed to determine the non-dominated design concepts for continuous improvement or further development at later design stages. Moreover, the sensitivity analysis is used to examine the robustness of the result. The fuzzy outranking preference model developed is more suitable to be used for concept selection in the imprecise and uncertain design environment. (C) 2001 Elsevier Science B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Wang, J (Corresponding Author), Feng Chia Univ, Dept Ind Engn, Taichung 40724, Taiwan. Feng Chia Univ, Dept Ind Engn, Taichung 40724, Taiwan.}, DOI = {10.1016/S0165-0114(99)00104-9}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {decision making; multicriteria analysis; engineering design}, Keywords-Plus = {RATINGS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Affiliations = {Feng Chia University}, ResearcherID-Numbers = {Wang, Juite/AAV-9836-2020}, ORCID-Numbers = {Wang, Juite/0000-0002-9875-2870}, Cited-References = {Brans J. P., 1984, Operational Research 84, P477, DOI DOI 10.1007/0-387-23081-5\_. CARNAHAN JV, 1994, J MECH DESIGN, V116, P511, DOI 10.1115/1.2919409. CHEN JE, 1995, FUZZY SET SYST, V73, P313, DOI 10.1016/0165-0114(94)00322-X. CHEN SJ, 1992, LECT NOTES ECON MATH, V375, P1. DUBOIS D, 1985, INFORM SCIENCES, V36, P85, DOI 10.1016/0020-0255(85)90027-1. DUBOIS D, 1983, INFORM SCIENCES, V30, P183, DOI 10.1016/0020-0255(83)90025-7. 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Thurston D.L., 1991, Research in Engineering Design, V3, P105, DOI DOI 10.1007/BF01581343. THURSTON DL, 1992, J MECH DESIGN, V114, P648, DOI 10.1115/1.2917056. YAGER RR, 1988, IEEE T SYST MAN CYB, V18, P183, DOI 10.1109/21.87068. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {26}, Times-Cited = {73}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {401XN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000166954500015}, DA = {2026-04-14}, } @article{ WOS:000303300900025, Author = {Palacios, Ana M. and Palacios, Jose L. and Sanchez, Luciano}, Title = {Eliciting a human understandable model of ice adhesion strength for rotor blade leading edge materials from uncertain experimental data}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2012}, Volume = {39}, Number = {11}, Pages = {10212-10225}, Month = {SEP 1}, Abstract = {The published ice adhesion performance data of novel ``ice-phobic{''} coatings varies significantly, and there are not reliable models of the properties of the different coatings that help the designer to choose the most appropriate material. In this paper it is proposed not to use analytical models but to learn instead a rule-based system from experimental data. The presented methodology increases the level of post-processing interpretation accuracy of experimental data obtained during the evaluation of ice-phobic materials for rotorcraft applications. Key to the success of this model is a possibilistic representation of the uncertainty in the data, combined with a fuzzy fitness-based genetic algorithm that is capable to elicit a suitable set of rules on the basis of incomplete and imprecise information. (c) 2012 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sánchez, L (Corresponding Author), Univ Oviedo, Dept Informat, Gijon 33071, Asturias, Spain. Palacios, Ana M.; Sanchez, Luciano, Univ Oviedo, Dept Informat, Gijon 33071, Asturias, Spain. Palacios, Jose L., Penn State Univ, Dept Aerosp Engn, University Pk, PA 16802 USA.}, DOI = {10.1016/j.eswa.2012.02.155}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Genetic Fuzzy Systems; Fuzzy rule-based classifiers; Vague data; Isotropic materials; Ice-phobic materials; Shear adhesion strength}, Keywords-Plus = {GENETIC FUZZY-SYSTEMS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {palaciosana@uniovi.es jlp324@psu.edu luciano@uniovi.es}, Affiliations = {University of Oviedo; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park}, ResearcherID-Numbers = {Sanchez, Luciano/K-8715-2014}, ORCID-Numbers = {Sanchez, Luciano/0000-0002-2446-1915}, Funding-Acknowledgement = {Spanish Ministry of Science and Technology; FEDER {[}TIN2008-06681-C06-04, TIN2011-24302]}, Funding-Text = {This study has been supported by the Spanish Ministry of Science and Technology and by European Fund FEDER (projects TIN2008-06681-C06-04 and TIN2011-24302).}, Cited-References = {Amari S, 1997, IEEE T NEURAL NETWOR, V8, P985, DOI 10.1109/72.623200. {[}Anonymous], 2001, MSRI WORKSH NONL EST. 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Appl.}, Doc-Delivery-Number = {932OR}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000303300900025}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000363458900002, Author = {Zadeh, Lotfi A.}, Title = {Fuzzy logic-a personal perspective}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2015}, Volume = {281}, Number = {SI}, Pages = {4-20}, Month = {DEC 15}, Abstract = {This paper marks the 50th anniversary of the publication of my first paper on fuzzy sets, ``Fuzzy sets,{''} Information and Control, 1965. What is of historical interest is that initially-and for some time thereafter-my paper was an object of indifference, skepticism and derision. A prominent school of thought claimed that fuzzy set theory is probability theory in disguise. Positive comments were few and far between. In contrast, my ideas were welcomed with open arms in Japan. In the seventies and eighties of last century, fuzzy set theory and fuzzy logic began to gain acceptance in Europe and, more particularly, in Eastern Europe and the Soviet Union. In part, many negative reactions to my papers reflected the fact that the word ``fuzzy{''} has pejorative connotations. In large measure, science is based on the classical, Aristotelian, bivalent logic. Binarization-drawing a sharply defined boundary between two classes-is a deeply entrenched Cartesian tradition. What is not widely recognized is that this tradition has outlived its usefulness. One of the principal contributions of fuzzy logic is providing a basis for a progression from binarization to graduation, from binarism to pluralism, from black and white to shades of gray. Graduation involves association of a class which has unsharp (fuzzy) boundaries with degrees/grades of membership. Classes with unsharp boundaries are pervasive in human cognition. Most words in natural language are labels of such classes. This paper is a concise exposition of what I consider to be my principal contributions to the development of fuzzy set theory and fuzzy logic. Among the contributions which are discussed are: introduction of the concept of a fuzzy set, FL-generalization, the concept of a linguistic variable, information granulation, precisiation of meaning, generalized theory of uncertainty (GTU), the concept of a restriction, restriction-centered theory of truth and meaning, the information principle, and similarity-based definitions of possibility and probability. (C) 2015 Published by Elsevier B.V.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zadeh, LA (Corresponding Author), Univ Calif Berkeley, Dept EECS, Berkeley, CA 94720 USA. Univ Calif Berkeley, Dept EECS, Berkeley, CA 94720 USA.}, DOI = {10.1016/j.fss.2015.05.009}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy set theory; Fuzzy logic; Possibility theory; Approximate reasoning}, Keywords-Plus = {GENERALIZED THEORY; PROBABILITY-THEORY; UNCERTAINTY GTU; SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {zadeh@eecs.berkeley.edu}, Affiliations = {University of California System; University of California Berkeley}, ResearcherID-Numbers = {Zadeh, Lotfi/A-6147-2012}, Funding-Acknowledgement = {Omron Grant; Tekes Grant; Azerbaijan Ministry of Communications and Information Technology Grant; BISC Program of UC Berkeley}, Funding-Text = {Research supported in part by Omron Grant, Tekes Grant, Azerbaijan Ministry of Communications and Information Technology Grant and the BISC Program of UC Berkeley.}, Cited-References = {Aliev R.A., 2014, Decision Theory with Imperfect Information. {[}Anonymous], J SEMANTICS. {[}Anonymous], STUD FUZZINESS SOFT. {[}Anonymous], M7924 ERL U CAL. {[}Anonymous], NEWSLETTER C BOARD M. {[}Anonymous], BAYES RES C UNC U SO. {[}Anonymous], 1975, FUZZY SETS THEIR APP. {[}Anonymous], INT J MAN MACH STUD. {[}Anonymous], 1984, COGNITIVE CONSTRAINT, P373. {[}Anonymous], IRE NAT CONV NEW Y 4. {[}Anonymous], APPL MULTIVAR STAT A. 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Zadeh LotfiA., 1979, ADV FUZZY SET THEORY, P3, DOI DOI 10.1142/9789814261302\_0022.}, Number-of-Cited-References = {61}, Times-Cited = {258}, Usage-Count-Last-180-days = {6}, Usage-Count-Since-2013 = {149}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {CU3XF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000363458900002}, DA = {2026-04-14}, } @article{ WOS:000327912500003, Author = {Pota, Marco and Esposito, Massimo and De Pietro, Giuseppe}, Title = {Transforming probability distributions into membership functions of fuzzy classes: A hypothesis test approach}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2013}, Volume = {233}, Pages = {52-73}, Month = {DEC 16}, Abstract = {In fuzzy Decision Support Systems, methods are strongly required for eliciting knowledge in the form of interpretable fuzzy sets from numerical data. In medical settings, statistical data are often available, or can be obtained from rough data, typically in the form of probability distributions. Moreover, since physicians are used to think and work according to a statistical interpretation of medical knowledge, the definition of fuzzy sets starting from statistical data is thought to be able to significantly reduce the existing lack of familiarity of physicians with fuzzy set theory, with respect to the classical statistical methods. Some methods based on different assumptions transform probability distributions into fuzzy sets. However, no theoretical approach was proposed up to now, for extracting fuzzy knowledge according to a fuzzy class interpretation, which can be used for inference purposes in fuzzy rule based systems. In this paper, a method for transforming probability distributions into fuzzy sets is shown, which generalizes some existing approaches and gives them a justification. It is based on the application of statistical test of hypothesis, and the resulting fuzzy sets are interpretable as fuzzy classes. The method enables the construction of normal fuzzy sets, which can be adapted to have pseudo-triangular or pseudo-trapezoidal shape, both coherently with the corresponding probability distributions, by tuning the method parameters. The properties of this method are illustrated by applying it to simulated probability distributions and its experimental comparison with existing methods is shown. Moreover, an application is performed on a real case study involving the detection of Multiple Sclerosis lesions. (C) 2013 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Pota, M (Corresponding Author), Natl Res Council Italy, Inst High Performance Comp \& Networking ICAR, Via P Castellino 111, I-80131 Naples, Italy. Pota, Marco; Esposito, Massimo; De Pietro, Giuseppe, Natl Res Council Italy, Inst High Performance Comp \& Networking ICAR, I-80131 Naples, Italy.}, DOI = {10.1016/j.fss.2013.03.013}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy system models; Possibility theory; Probability possibility transformations; Classification; Decision support systems}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {marco.pota@na.icar.cnr.it}, Affiliations = {Consiglio Nazionale delle Ricerche (CNR); Istituto di Calcolo e Reti ad Alte Prestazioni (ICAR-CNR)}, ResearcherID-Numbers = {Pota, Marco/AAX-9053-2020 de pietro, giuseppe/L-6139-2019 ESPOSITO, MASSIMO/AAX-3348-2020}, ORCID-Numbers = {de pietro, giuseppe/0000-0002-4675-5957 ESPOSITO, MASSIMO/0000-0002-7196-7994}, Cited-References = {Akbarzadeh-T MR, 2007, J BIOMED INFORM, V40, P465, DOI 10.1016/j.jbi.2006.12.005. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {32}, Times-Cited = {44}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {21}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {264WU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000327912500003}, DA = {2026-04-14}, } @article{ WOS:000323504100003, Author = {Maji, Pradipta and Paul, Sushmita}, Title = {Rough-Fuzzy Clustering for Grouping Functionally Similar Genes from Microarray Data}, Journal = {IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS}, Year = {2013}, Volume = {10}, Number = {2}, Pages = {286-299}, Month = {MAR-APR}, Abstract = {Gene expression data clustering is one of the important tasks of functional genomics as it provides a powerful tool for studying functional relationships of genes in a biological process. Identifying coexpressed groups of genes represents the basic challenge in gene clustering problem. In this regard, a gene clustering algorithm, termed as robust rough-fuzzy c-means, is proposed judiciously integrating the merits of rough sets and fuzzy sets. While the concept of lower and upper approximations of rough sets deals with uncertainty, vagueness, and incompleteness in cluster definition, the integration of probabilistic and possibilistic memberships of fuzzy sets enables efficient handling of overlapping partitions in noisy environment. The concept of possibilistic lower bound and probabilistic boundary of a cluster, introduced in robust rough-fuzzy c-means, enables efficient selection of gene clusters. An efficient method is proposed to select initial prototypes of different gene clusters, which enables the proposed c-means algorithm to converge to an optimum or near optimum solutions and helps to discover coexpressed gene clusters. The effectiveness of the algorithm, along with a comparison with other algorithms, is demonstrated both qualitatively and quantitatively on 14 yeast microarray data sets.}, Publisher = {IEEE COMPUTER SOC}, Address = {10662 LOS VAQUEROS CIRCLE, PO BOX 3014, LOS ALAMITOS, CA 90720-1314 USA}, Type = {Article}, Language = {English}, Affiliation = {Maji, P (Corresponding Author), Indian Stat Inst, Machine Intelligence Unit, 203 BT Rd, Kolkata 700108, W Bengal, India. Maji, Pradipta; Paul, Sushmita, Indian Stat Inst, Machine Intelligence Unit, Kolkata 700108, W Bengal, India.}, DOI = {10.1109/TCBB.2012.103}, ISSN = {1545-5963}, EISSN = {1557-9964}, Keywords = {Microarray; gene clustering; overlapping clustering; rough sets; fuzzy sets}, Keywords-Plus = {EXPRESSION DATA; ALGORITHM; NETWORK}, Research-Areas = {Biochemistry \& Molecular Biology; Computer Science; Mathematics}, Web-of-Science-Categories = {Biochemical Research Methods; Computer Science, Interdisciplinary Applications; Mathematics, Interdisciplinary Applications; Statistics \& Probability}, Author-Email = {pmaji@isical.ac.in sushmita\_t@isical.ac.in}, Affiliations = {Indian Statistical Institute; Indian Statistical Institute Kolkata}, ResearcherID-Numbers = {Maji, Pradipta/AAZ-3478-2020}, ORCID-Numbers = {Maji, Pradipta/0000-0002-8288-8917}, Cited-References = {Alberts B., 2008, Molecular Biology of the Cell, V5th. {[}Anonymous], 2012, Rough-Fuzzy pattern recognition: Applications in bioinformatics and medical imaging. {[}Anonymous], P 8 INT C INT SYST M. 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Wang H, 2011, PROTECTING PRIVACY IN CHINA: A RESEARCH ON CHINAS PRIVACY STANDARDS AND THE POSSIBILITY OF ESTABLISHING THE RIGHT TO PRIVACY AND THE INFORMATION PRIVACY PROTECTION LEGISLATION IN MODERN CHINA, P1, DOI 10.1007/978-3-642-21750-0\_1. Woolf PJ, 2000, PHYSIOL GENOMICS, V3, P9, DOI 10.1152/physiolgenomics.2000.3.1.9. Xing E.P., 2001, BIOINFORMATICS, V17, P306. Yeung KY, 2001, BIOINFORMATICS, V17, P977, DOI 10.1093/bioinformatics/17.10.977. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {45}, Times-Cited = {61}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {IEEE-ACM Trans. Comput. Biol. Bioinform.}, Doc-Delivery-Number = {206FM}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000323504100003}, DA = {2026-04-14}, } @article{ WOS:000230947400026, Author = {Tounsi, M}, Title = {An approximate reasoning based technique for oil assessment}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2005}, Volume = {29}, Number = {2}, Pages = {485-491}, Month = {AUG}, Abstract = {In this paper we present a method based on the approximative reasoning and fuzzy set theory to the petroleum assessment. We introduce the `AFA System' for Approximate Fuzzy Assessment System. In AFA system, we consider all available information which are usually imprecise and incomplete. We present a novel way to solve petroleum evaluation problem using a very efficient mechanism to deal with an incomplete and imprecise data. This mechanism is based on the fuzzy set theory and the possibility theory. We present a new deduction algorithm based on the fuzzy implications to find the total aggregation value of input parameters. In this example of use of the intelligent systems in petroleum engineering, fuzzy logic and approximate reasoning {[}Prade, H. (1987). Some issues in approximates and plausible reasoning in the FrameWork of a possibility theory-based approach (pp. 263-287), France] are used to better asses petroleum field in different regions. We show how our technique is efficient by comparing it to the traditional petroleum evaluation methods. We discuss the AFA system which is actually in use. (C) 2005 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tounsi, M (Corresponding Author), Prince Sultan Univ, Dept Comp Sci, POB 66833, Riyadh, Saudi Arabia. Prince Sultan Univ, Dept Comp Sci, Riyadh, Saudi Arabia.}, DOI = {10.1016/j.eswa.2005.05.001}, ISSN = {0957-4174}, Keywords = {approximate reasoning; petroleum evaluation; fuzzy set theory; multi-criteria decision; expert system}, Keywords-Plus = {LOGIC}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {mtounsi@cis.psu.edu.sa}, Affiliations = {Prince Sultan University}, ResearcherID-Numbers = {Tounsi, Mohamed/P-5658-2017}, Cited-References = {BUCKLEY JJ, 1989, 2 GENERATION FUZZY E, P271. CUDDY SJ, 2000, SRE RESERVOIR EV AUG, V3. CUDDY SJ, 2000, APPL SOFT COMPUT, P167. DEBAILLY JH, 1991, USE FUZZY LOGIC RULE, P125. DUBOIS D, 1984, CYBERNET SYST, V15, P293, DOI 10.1080/01969728408927749. DUBOIS D, 1993, ENSEMBLES FLOUS RAIS. DUBOIS D, 1993, FUZZY SET APPROXIMAT. 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ZADEH LA, 1976, FUZZY SETS THEIR APP, P1378. ZADEH LA, 1989, IEEE, V1.}, Number-of-Cited-References = {30}, Times-Cited = {14}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {2}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {951RE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000230947400026}, DA = {2026-04-14}, } @article{ WOS:000460719300004, Author = {Dadsena, Krishna Kumar and Sarmah, S. P. and Naikan, V. N. A. and Jena, Sarat Kumar}, Title = {Optimal budget allocation for risk mitigation strategy in trucking industry: An integrated approach}, Journal = {TRANSPORTATION RESEARCH PART A-POLICY AND PRACTICE}, Year = {2019}, Volume = {121}, Pages = {37-55}, Month = {MAR}, Abstract = {Trucking industry plays a major role in the transportation of goods across different geographical locations. The operational complexities of the trucking industry lead to various risks. This study focuses on effective design and implementation of risk-mitigation strategies for the trucking industry with consideration for budget restrictions. In this paper, both subjective and objective attributes are considered in the mathematical modeling and thereby tries to capture realism in the strategic decision-making process. The results of the study provide novel insights that relate the impact of risk on the cost of mitigation. Further, the effect of three characteristics, targeted risk level (TRL), implementation cost (IC) of strategy, and the probability of risk occurrence (PO) is shown in designing and developing risk-mitigation strategies. The experimental analysis not only augments theoretical knowledge related to risk management decision-making processes but also contributes to designing and developing a risk-mitigation strategy under economic constraints. From the managerial perspective, the study demonstrates how decision-makers can benefit from an integrated approach to develop a more holistic understanding of risk-management processes. This study also provides guidelines in policy selection considering higher return on investment (ROI). The paper concludes by highlighting the key findings and discussing opportunities for future research.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Sarmah, SP (Corresponding Author), IIT Kharagpur, Dept Ind \& Syst Engn, Kharagpur 721302, W Bengal, India. Dadsena, Krishna Kumar; Naikan, V. N. A., IIT Kharagpur, Subir Chowdhury Sch Qual \& Reliabil, Kharagpur 721302, W Bengal, India. Sarmah, S. P., IIT Kharagpur, Dept Ind \& Syst Engn, Kharagpur 721302, W Bengal, India. Jena, Sarat Kumar, Goa Inst Management, Sanquelim 403505, Goa, India.}, DOI = {10.1016/j.tra.2019.01.007}, ISSN = {0965-8564}, EISSN = {1879-2375}, Keywords = {Risk-mitigation strategy; Integrated approach; Possibility theory; Budget allocation; Trucking industry}, Keywords-Plus = {SUPPLY CHAINS; TRANSPORTATION; INFORMATION; MANAGEMENT; LOGISTICS; DESIGN; MODEL; NETWORK; METHODOLOGY; TECHNOLOGY}, Research-Areas = {Business \& Economics; Transportation}, Web-of-Science-Categories = {Economics; Transportation; Transportation Science \& Technology}, Author-Email = {spsarmah@iem.iitkgp.ernet.in naikan@hijli.iitkgp.ernet.in saratjena@gim.ac.in}, Affiliations = {Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur; Goa Institute of Management}, ResearcherID-Numbers = {Jena, Sarat Kumar/N-4806-2014 Sarmah, S P/AAN-9036-2020 Dadsena, Krishna/AAG-8877-2020}, ORCID-Numbers = {Jena, Sarat Kumar/0000-0002-6033-5959 Sarmah, S P/0000-0001-7759-2313 }, Cited-References = {Abkowitz M.D., 2002, Secur. 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Vasco RA, 2016, COMPUT OPER RES, V76, P118, DOI 10.1016/j.cor.2016.04.022. Wyman O, 2011, ALL RIGHTS RESERVED. Yao Zhang, 2016, Kybernetes, V45, P1652, DOI {[}10.1108/k-05-2016-0096, 10.1108/K-05-2016-0096]. Yazdi M, 2017, SAFETY SCI, V98, P113, DOI 10.1016/j.ssci.2017.06.009. Yoshimoto R, 2005, IATSS RES, V29, P16, DOI 10.1016/S0386-1112(14)60114-X. Young P.C., 2000, Managing business risk : An organization-wide approach to risk management. Zavadskas EK, 2016, SCI IRAN, V23, P1, DOI 10.24200/sci.2016.2093. Zeng BC, 2017, INT J PROD ECON, V185, P52, DOI 10.1016/j.ijpe.2016.12.004. Zolfagharinia H, 2014, TRANSPORT RES E-LOG, V70, P34, DOI 10.1016/j.tre.2014.06.012.}, Number-of-Cited-References = {64}, Times-Cited = {6}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {12}, Journal-ISO = {Transp. Res. Pt. A-Policy Pract.}, Doc-Delivery-Number = {HO2CP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000460719300004}, DA = {2026-04-14}, } @article{ WOS:000521967100008, Author = {Chukhrova, Nataliya and Johannssen, Arne}, Title = {Fuzzy hypothesis testing for a population proportion based on set-valued information}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {2020}, Volume = {387}, Pages = {127-157}, Month = {MAY 15}, Abstract = {In this paper we propose fuzzy hypothesis testing for a proportion with crisp data as the exact generalized one-tailed hypergeometric test with fuzzy (non-)complementary hypotheses, and incorporate the conventional hypergeometric test with crisp hypotheses into its framework. In particular, we formulate hypotheses as ontic or epistemic (fuzzy) sets, since we assume that presumptions regarding the true population proportion can be expressed in the conjunctive or disjunctive reading. Further, we suggest modeling of membership functions in terms of cost or frequency due to considerations of user's priorities or incomplete knowledge in relation to hypotheses formulation. Considering a hypothesis as union of its crisp and fuzzy areas, we illustrate via real-life examples that in contrast to classical test theory, fuzzy hypothesis testing provides an additional partial and gradual consideration of the indifference zone for both complementary and non-complementary hypotheses. The test concept is introduced for both test methods, a test of significance and an alternative test, and leads to a crisp test decision considering further cost aspects like the sample size. The generalized error criteria are derived and interpreted in relation to both hypotheses. Additionally, a corresponding sensitivity analysis is presented for one of the most promising test types. (C) 2019 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Chukhrova, N (Corresponding Author), Univ Hamburg, Fac Business Adm, D-20146 Hamburg, Germany. Chukhrova, Nataliya; Johannssen, Arne, Univ Hamburg, Fac Business Adm, D-20146 Hamburg, Germany.}, DOI = {10.1016/j.fss.2019.02.017}, ISSN = {0165-0114}, EISSN = {1872-6801}, Keywords = {Fuzzy hypotheses; Fuzzy statistics; Hypergeometric test for a proportion; Gradual or incomplete information; Ontic and epistemic fuzzy sets; Possibility theory}, Keywords-Plus = {NEYMAN-PEARSON-LEMMA}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, Author-Email = {nataliya.chukhrova@uni-hamburg.de arne.johannssen@uni-hamburg.de}, Affiliations = {University of Hamburg}, ORCID-Numbers = {Chukhrova, Nataliya/0000-0002-4105-7033 Johannssen, Arne/0000-0002-4265-3996}, Cited-References = {{[}Anonymous], STAT PAP. Arnold BF, 1996, METRIKA, V44, P119, DOI 10.1007/BF02614060. Arnold BF, 1998, FUZZY SET SYST, V94, P323, DOI 10.1016/S0165-0114(96)00258-8. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {45}, Times-Cited = {9}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {KX6CL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000521967100008}, DA = {2026-04-14}, } @article{ WOS:000357230000025, Author = {Vercher, Enriqueta and Bermudez, Jose D.}, Title = {Portfolio optimization using a credibility mean-absolute semi-deviation model}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2015}, Volume = {42}, Number = {20}, Pages = {7121-7131}, Month = {NOV 15}, Abstract = {We introduce a cardinality constrained multi-objective optimization problem for generating efficient portfolios within a fuzzy mean-absolute deviation framework. We assume that the return on a given portfolio is modeled by means of LR-type fuzzy variables, whose credibility distributions collect the contemporary relationships among the returns on individual assets. To consider credibility measures of risk and return on a given portfolio enables us to work with its Fuzzy Value-at-Risk. The relationship between credibility expected values for LR-type fuzzy variables and possibilistic moments for LR-fuzzy numbers having the same membership function are analyzed. We apply a heuristic approach to approximate the cardinality constrained efficient frontier of the portfolio selection problem considering the below-mean absolute semi-deviation as a measure of risk. We also explore the impact of adding a Fuzzy Value-at-Risk measure that supports the investor's choices. A computational study of our multi-objective evolutionary approach and the performance of the credibility model are presented with a data set collected from the Spanish stock market. (C) 2015 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Vercher, E (Corresponding Author), Univ Valencia, Dept Stat \& Operat Res, C Dr Moliner 50, Budassot 46100, Spain. Vercher, Enriqueta; Bermudez, Jose D., Univ Valencia, Dept Stat \& Operat Res, Budassot 46100, Spain.}, DOI = {10.1016/j.eswa.2015.05.020}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Credibility theory; Fuzzy variables; Portfolio selection; Mean absolute semi-deviation; Multi-objective optimization; Genetic algorithm}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {vercher@uv.es bermudez@uv.es}, Affiliations = {University of Valencia}, ResearcherID-Numbers = {Vercher, Enriqueta/N-7767-2019 Bermudez, Jose/L-1147-2014}, ORCID-Numbers = {Vercher, Enriqueta/0000-0001-8692-1318 Bermudez, Jose/0000-0003-4699-5923}, Funding-Acknowledgement = {Ministerio de Economia y Competitividad, Spain {[}MTM2014-56233-P]}, Funding-Text = {The authors would like to thank the anonymous reviewers for their valuable comments and suggestions, which helped us to improve a previous version of this paper. We would also like to acknowledge the support from the Ministerio de Economia y Competitividad, Spain (Research Project MTM2014-56233-P).}, Cited-References = {Allen L., 2004, Understanding market, credit, and operational risk: the value at risk approach. Anagnostopoulos KP, 2011, EXPERT SYST APPL, V38, P14208, DOI 10.1016/j.eswa.2011.04.233. {[}Anonymous], 2002, ASIA PACIFIC FINANCI, DOI DOI 10.1023/A:1022238119491. {[}Anonymous], FINANCIAL DECISION M. Baoding Liu, 2003, Fuzzy Optimization and Decision Making, V2, P87, DOI 10.1023/A:1023491000011. Bermúdez JD, 2012, FUZZY SET SYST, V188, P16, DOI 10.1016/j.fss.2011.05.013. Boyd Stephen., 2009, Convex optimization. Cai XQ, 2000, MANAGE SCI, V46, P957, DOI 10.1287/mnsc.46.7.957.12039. Carlsson C, 2002, FUZZY SET SYST, V131, P13, DOI 10.1016/S0165-0114(01)00251-2. Chang TJ, 2009, EXPERT SYST APPL, V36, P10529, DOI 10.1016/j.eswa.2009.02.062. Delgado M, 1998, FUZZY SET SYST, V93, P125, DOI 10.1016/S0165-0114(96)00144-3. 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Zadeh LA, 1999, FUZZY SET SYST, V100, P9, DOI 10.1016/S0165-0114(99)80004-9.}, Number-of-Cited-References = {35}, Times-Cited = {75}, Usage-Count-Last-180-days = {2}, Usage-Count-Since-2013 = {60}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {CL8MY}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000357230000025}, DA = {2026-04-14}, } @article{ WOS:000242517500007, Author = {Coletti, Giulianella and Scozzafava, Romano}, Title = {Conditional probability and fuzzy information}, Journal = {COMPUTATIONAL STATISTICS \& DATA ANALYSIS}, Year = {2006}, Volume = {51}, Number = {1}, Pages = {115-132}, Month = {NOV 1}, Abstract = {The main subject of this paper is the embedding of fuzzy set theory-and related concepts-in a coherent conditional probability scenario. This allows to deal with perception-based information-in the sense of Zadeh-and with a rigorous treatment of the concept of likelihood, dealing also with its role in statistical inference. A coherent conditional probability is looked on as a general non-additive ``uncertainty{''} measure m(.) = P(E\textbackslash{}.) of the conditioning events. This gives rise to a clear, precise and rigorous mathematical frame, which allows to define fuzzy subsets and to introduce in a very natural way the counterparts of the basic continuous T-norms and the corresponding dual T-conorms, bound to the former by coherence. Also the ensuing connections of this approach to possibility theory and to information measures are recalled. (C) 2006 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Scozzafava, R (Corresponding Author), Univ Roma La Sapienza, Dipartimento Metodi \& Modelli Matemat, Via Scarpa 16, I-00161 Rome, Italy. Univ Roma La Sapienza, Dipartimento Metodi \& Modelli Matemat, I-00161 Rome, Italy. Univ Perugia, Dipartimento Matemat \& Informat, I-06123 Perugia, Italy.}, DOI = {10.1016/j.csda.2006.04.028}, ISSN = {0167-9473}, EISSN = {1872-7352}, Keywords = {coherent conditional probability; likelihood function; fuzzy theory; perception-based information}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Statistics \& Probability}, Author-Email = {romscozz@dmmm.uniroma1.it}, Affiliations = {Sapienza University Rome; University of Perugia}, ResearcherID-Numbers = {Coletti, Giulianella/N-4935-2014}, ORCID-Numbers = {Coletti, Giulianella/0000-0002-0152-1735}, Cited-References = {BASU D, 1988, LECT NTOES STAT, V45. CECCACCI S, 2003, P WUPES 2003 HEJN ZE, P35. Coletti G, 2005, FUZZY SET SYST, V155, P26, DOI 10.1016/j.fss.2005.05.010. Coletti G, 2004, FUZZY SET SYST, V144, P227, DOI 10.1016/j.fss.2003.10.022. Coletti G, 1996, INT J UNCERTAIN FUZZ, V4, P103, DOI 10.1142/S021848859600007X. 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Popper Karl., 1959, LOGIC SCI DISCOVERY. RENYI A, 1956, THEOR PROBAB APPL, V1, P61, DOI DOI 10.1137/1101005. SCOZZAFAVA R, 1993, UNCERTAINTY INTELLIG, P121. Singpurwalla ND, 2004, J AM STAT ASSOC, V99, P867, DOI 10.1198/016214504000001196. ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4. Zadeh LA, 2002, J STAT PLAN INFER, V105, P233, DOI 10.1016/S0378-3758(01)00212-9. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {38}, Times-Cited = {34}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Comput. Stat. Data Anal.}, Doc-Delivery-Number = {112HV}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000242517500007}, DA = {2026-04-14}, } @article{ WOS:000343303700006, Author = {Tsaur, Ruey-Chyn}, Title = {Fuzzy portfolio model with fuzzy-input return rates and fuzzy-output proportions}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, Year = {2015}, Volume = {46}, Number = {3}, Pages = {438-450}, Month = {FEB 17}, Abstract = {In the finance market, a short-term investment strategy is usually applied in portfolio selection in order to reduce investment risk; however, the economy is uncertain and the investment period is short. Further, an investor has incomplete information for selecting a portfolio with crisp proportions for each chosen security. In this paper we present a new method of constructing fuzzy portfolio model for the parameters of fuzzy-input return rates and fuzzy-output proportions, based on possibilistic mean-standard deviation models. Furthermore, we consider both excess or shortage of investment in different economic periods by using fuzzy constraint for the sum of the fuzzy proportions, and we also refer to risks of securities investment and vagueness of incomplete information during the period of depression economics for the portfolio selection. Finally, we present a numerical example of a portfolio selection problem to illustrate the proposed model and a sensitivity analysis is realised based on the results.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Tsaur, RC (Corresponding Author), Tamkang Univ, Dept Management Sci, New Taipei City, Taiwan. Tamkang Univ, Dept Management Sci, New Taipei City, Taiwan.}, DOI = {10.1080/00207721.2013.784820}, ISSN = {0020-7721}, EISSN = {1464-5319}, Keywords = {fuzzy proportion; incomplete information; fuzzy portfolio model; fuzzy mean-variance model}, Keywords-Plus = {SELECTION; VARIANCE}, Research-Areas = {Automation \& Control Systems; Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Computer Science, Theory \& Methods; Operations Research \& Management Science}, Author-Email = {rctsaur@yahoo.com.tw}, Affiliations = {Tamkang University}, Funding-Acknowledgement = {National Science Foundation {[}NSC 101-2410-H-032-006]}, Funding-Text = {The author gratefully acknowledges financial support from National Science Foundation with project no. NSC 101-2410-H-032-006.}, Cited-References = {{[}Anonymous], 1998, Portfolio selection using fuzzy decision theory. 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Sci.}, Doc-Delivery-Number = {AR0YU}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000343303700006}, DA = {2026-04-14}, } @article{ WOS:000180296400005, Author = {Gien, D and Jacqmart, S and Seklouli, A and Barad, M}, Title = {An approach based on fuzzy sets for manufacturing system design}, Journal = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH}, Year = {2003}, Volume = {41}, Number = {2}, Pages = {315-335}, Abstract = {The aim of this work is to provide Small and Medium Enterprises (SMEs) with adapted design methods for manufacturing systems. In a total quality strategy, the design activity consists of searching for the means able to satisfy all users needs from company customers to floor plant workers. That includes usual costs, delays and quality targets but also employees involvement. Due to the variety of data sources and to the continuous changes of goals, the information is imperfect. The main concerns are uncertainty, inaccuracy and vagueness of both objectives and solutions. The fuzzy set theory provides a quite convenient framework to represent all those imperfections using one mathematical objet. Fuzzy logic is used to aggregate specifications and to deploy solutions. Possibility theory finally allows a graded evaluation of expected performances. The obtained result is graded, providing the engineer with some degrees of freedom for the realization of the manufacturing system. The valuation of the design quality is an undeniable progress towards the continuous improvement of the whole system performance. Finally, such a criterion may also be used for an empirical search for a convenient solution, as for the automatic computation of an optimal result.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Gien, D (Corresponding Author), Univ Clermont Ferrand, Lab Informat Modelisat \& Optimisat Syst, FRE 2239,CNRS, Inst Francais Mech Avancee, Campus Cezeaux,BP 265, F-63175 Aubiere, France. Univ Clermont Ferrand, Lab Informat Modelisat \& Optimisat Syst, FRE 2239,CNRS, Inst Francais Mech Avancee, F-63175 Aubiere, France. Tel Aviv Univ, Fac Engn, Dept Ind Engn, IL-69978 Tel Aviv, Israel.}, DOI = {10.1080/0020754021000024166}, ISSN = {0020-7543}, EISSN = {1366-588X}, Keywords-Plus = {ENGINEERING DESIGN; QUALITY}, Research-Areas = {Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Engineering, Industrial; Engineering, Manufacturing; Operations Research \& Management Science}, Author-Email = {Denis.Gien@ifma.fr}, Affiliations = {Centre National de la Recherche Scientifique (CNRS); Tel Aviv University}, Cited-References = {ANTONSSON EK, 1995, J MECH DESIGN, V117, P25, DOI 10.1115/1.2836465. Babic B, 1999, INT J PROD RES, V37, P1159, DOI 10.1080/002075499191454. Barad M, 2001, INT J PROD RES, V39, P2675, DOI 10.1080/00207540110051824. CALIGIANA G, 1995, OIAZ, V140, P275. CALVEZ JP, 1990, SPECIFICATION CONCEP. CHAIGNEAU YM, 1990, MANAGEMENT PROJET QU. Chen YH, 1996, P I MECH ENG B-J ENG, V210, P49, DOI 10.1243/PIME\_PROC\_1996\_210\_085\_02. 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A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {39}, Times-Cited = {12}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Int. J. Prod. Res.}, Doc-Delivery-Number = {633RN}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000180296400005}, DA = {2026-04-14}, } @article{ WOS:000394369100006, Author = {Ruiz, Jose L. and Sirvent, Inmaculada}, Title = {Fuzzy cross-efficiency evaluation: a possibility approach}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2017}, Volume = {16}, Number = {1}, Pages = {111-126}, Month = {MAR}, Abstract = {Cross-efficiency evaluation is an extension of data envelopment analysis (DEA) aimed at ranking decision making units (DMUs) involved in a production process regarding their efficiency. As has been done with other enhancements and extensions of DEA, in this paper we propose a fuzzy approach to the cross-efficiency evaluation. Specifically, we develop a fuzzy cross-efficiency evaluation based on the possibility approach by Lertworasirikul et al. (Fuzzy Sets Syst 139:379-394, 2003a) to fuzzy DEA. Thus, a methodology for ranking DMUs is presented that may be used when data are imprecise, in particular for fuzzy inputs and outputs being normal and convex. We prove some results that allow us to define ``consistent{''} cross-efficiencies. The ranking of DMUs for a given possibility level results from an ordering of cross-efficiency scores, which are real numbers. As in the crisp case, we also develop benevolent and aggressive fuzzy formulations in order to deal with the alternate optima for the weights.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Ruiz, JL (Corresponding Author), Univ Miguel Hernandez, Ctr Invest Operat, Avd Univ S-N, Alicante 03202, Spain. Ruiz, Jose L.; Sirvent, Inmaculada, Univ Miguel Hernandez, Ctr Invest Operat, Avd Univ S-N, Alicante 03202, Spain.}, DOI = {10.1007/s10700-016-9240-1}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Fuzzy cross-efficiency evaluation; Fuzzy data envelopment analysis; Possibility theory}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; DEA; SELECTION; RANKING; PERFORMANCE; WEIGHTS; PLAYERS}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {jlruiz@umh.es}, Affiliations = {Universidad Miguel Hernandez de Elche}, ResearcherID-Numbers = {Sirvent, Inmaculada/ABE-3714-2021 Ruiz, José L/ABE-7333-2021}, ORCID-Numbers = {Sirvent, Inmaculada/0000-0001-5509-9261 Ruiz, José L/0000-0001-5755-2269}, Cited-References = {Anderson TR, 2002, J PROD ANAL, V17, P249, DOI 10.1023/A:1015012121760. 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Mak.}, Doc-Delivery-Number = {EL1GS}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000394369100006}, DA = {2026-04-14}, } @article{ WOS:000178418500013, Author = {Shih, HS}, Title = {An interactive approach for integrated multilevel systems in a fuzzy environment}, Journal = {MATHEMATICAL AND COMPUTER MODELLING}, Year = {2002}, Volume = {36}, Number = {4-5}, Pages = {569-585}, Month = {SEP}, Abstract = {This study proposes a total solution of an interactive approach for integrated multilevel systems or multilevel programming problems (MLPPs) in a fuzzy environment. Simulating the actual decision-making process of the hierarchical structure of an organization, MLPP is a practical and useful approach to decentralized planning problems. Because of the complexity of the problems, there axe no traditional techniques efficient enough to obtain the numerical solution of a reasonable size problem. Hence, Shih et al. {[}1] propose a fuzzy approach for MLPPs, to simplify the complex structure, which is proven to be feasible and efficient. The imprecise MLPPs will be involved when the coefficients of MLPPs cannot be estimated exactly. Because of such a complicated situation in the real world, we will take advantage of an interactive technique to improve the flexibility and robustness of, its decision through progressive articulation of decision information from decision makers (DMs). Roughly speaking, there are two interactive procedures for imprecise MLPPs: inside loop and outside loop. The former is for the preference of the DMs, represented by fuzzy membership functions; the latter for the imprecision of coefficients, described by possibility distributions or cut-off values. Special considerations will be given to the compensatory operator, positive and negative ideal solutions, risk attitude, and e-constraints. In the final section, linear-programming type and network-flow type. of imprecise MLPPs will be solved separately as an integrated multilevel system. (C) 2002 Elsevier Science Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Shih, HS (Corresponding Author), Tamkang Univ, Grad Inst Management Sci, Taipei 251, Taiwan. Tamkang Univ, Grad Inst Management Sci, Taipei 251, Taiwan.}, DOI = {10.1016/S0895-7177(02)00183-8}, Article-Number = {PII S0895-7177(02)00183-8}, ISSN = {0895-7177}, EISSN = {1872-9479}, Keywords = {interactive procedure; multilevel programming problem; possibilistic measures; cut-off value; risk attitude; epsilon-constraint; membership function; compensation}, Keywords-Plus = {PROGRAMMING-PROBLEMS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied}, Affiliations = {Tamkang University}, ORCID-Numbers = {Shih, Hsu-Shih/0000-0002-0573-9010}, Cited-References = {Ahuja R.K., 1993, NETWORK FLOWS THEORY, DOI DOI 10.5555/137406. Aksoy Y., 1990, MANAGEMENT RES NEWS, V13, P1. BARD JF, 1991, J OPTIMIZ THEORY APP, V68, P371, DOI 10.1007/BF00941574. BENAYED O, 1990, OPER RES, V38, P556, DOI 10.1287/opre.38.3.556. 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Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3. ZIMMERMANN HJ, 1980, FUZZY SET SYST, V4, P37, DOI 10.1016/0165-0114(80)90062-7. ZIONTS S, 1976, MANAGE SCI, V22, P652, DOI 10.1287/mnsc.22.6.652. ZIONTS S, 1983, MANAGE SCI, V29, P519, DOI 10.1287/mnsc.29.5.519.}, Number-of-Cited-References = {36}, Times-Cited = {11}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Math. Comput. Model.}, Doc-Delivery-Number = {600YC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000178418500013}, DA = {2026-04-14}, } @article{ WOS:A1997XV01900002, Author = {Zadeh, LA}, Title = {Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic}, Journal = {FUZZY SETS AND SYSTEMS}, Year = {1997}, Volume = {90}, Number = {2}, Pages = {111-127}, Month = {SEP 1}, Abstract = {There are three basic concepts that underlie human cognition: granulation, organization and causation. Informally, granulation involves decomposition of whole into parts; organization involves integration of parts into whole; and causation involves association of causes with effects. Granulation of an object A leads to a collection of granules of A, with a granule being a clump of points (objects) drawn together by indistinguishability, similarity, proximity or functionality. For example, the granules of a human head are the forehead, nose, cheeks, ears, eyes, etc. In general, granulation is hierarchical in nature. A familiar example is the granulation of time into years, months, days, hours, minutes, etc. Modes of information granulation (IG) in which the granules are crisp (c-granular) play important roles in a wide variety of methods, approaches and techniques. Crisp IG, however, does not reflect the fact that in almost all of human reasoning and concept formation the granules are fuzzy (f-granular). The granules of a human head, for example, are fuzzy in the sense that the boundaries between cheeks, nose, forehead, ears, etc. are not sharply defined. Furthermore, the attributes of fuzzy granules, e.g., length of nose, are fuzzy, as are their values: long, short, very long, etc. The fuzziness of granules, their attributes and their values is characteristic of ways in which humans granulate and manipulate information. The theory of fuzzy information granulation (TFIG) is inspired by the ways in which humans granulate information and reason with it. However, the foundations of TFIG and its methodology are mathematical in nature. The point of departure in TFIG is the concept of a generalized constraint. A granule is characterized by a generalized constraint which defines it. The principal types of granules are: possibilistic, veristic and probabilistic. The principal modes of generalization in TFIG are fuzzification (f-generalization); granulation (g-generalization); and fuzzy granulation (f.g-generalization), which is a combination of fuzzification and granulation. F.g-generalization underlies the basic concepts of linguistic variable, fuzzy if-then rule and fuzzy graph. These concepts have long played a major role in the applications of fuzzy logic and differentiate fuzzy logic from other methodologies for dealing with imprecision and uncertainty. What is important to recognize is that no methodology other than fuzzy logic provides a machinery for fuzzy information granulation.}, Publisher = {ELSEVIER SCIENCE BV}, Address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Zadeh, LA (Corresponding Author), UNIV CALIF BERKELEY,DEPT EECS,DIV COMP SCI,ELECT RES LAB,BERKELEY,CA 94720, USA.}, DOI = {10.1016/S0165-0114(97)00077-8}, ISSN = {0165-0114}, Keywords = {fuzzy logic; fuzzy information granulation; approximate reasoning}, Keywords-Plus = {SETS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Theory \& Methods; Mathematics, Applied; Statistics \& Probability}, ResearcherID-Numbers = {Zadeh, Lotfi/A-6147-2012}, Cited-References = {{[}Anonymous], HDB APPL ADV ROUGH S. {[}Anonymous], INTRO FUZZY CONTROL. {[}Anonymous], 1993, Readings in Fuzzy Sets for Intelligent Systems. 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Zimmerman H.-J., 1996, FUZZY SET THEORY ITS.}, Number-of-Cited-References = {40}, Times-Cited = {2056}, Usage-Count-Last-180-days = {9}, Usage-Count-Since-2013 = {172}, Journal-ISO = {Fuzzy Sets Syst.}, Doc-Delivery-Number = {XV019}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:A1997XV01900002}, DA = {2026-04-14}, } @article{ WOS:000446157500010, Author = {Liu, Yong-Jun and Zhang, Wei-Guo}, Title = {Multiperiod Fuzzy Portfolio Selection Optimization Model Based on Possibility Theory}, Journal = {INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY \& DECISION MAKING}, Year = {2018}, Volume = {17}, Number = {3}, Pages = {941-968}, Month = {MAY}, Abstract = {Using the central value operator and the semi-dispersion measure of fuzzy number, this paper proposes the definitions of the lower and upper semi-variances. A general multiperiod fuzzy portfolio optimization model with return demand on the portfolio at each period is proposed with the objectives of maximizing both terminal wealth and the cumulative diversification degree of portfolios over the whole investment horizon, and minimizing terminal risk. A fuzzy multiobjective nonlinear programming technique is applied to convert the proposed model into a single-objective model. A genetic algorithm (GA) is given to solve it. Besides, a numerical example is given to illustrate the application of the proposed model and the effectiveness of the designed algorithm.}, Publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, Address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Liu, Yong-Jun; Zhang, Wei-Guo, South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1142/S0219622018500190}, ISSN = {0219-6220}, EISSN = {1793-6845}, Keywords = {Multiperiod portfolio selection; possibility theory; central value operator; entropy; multiobjective programming}, Keywords-Plus = {UTILITY; MANAGEMENT; BANKRUPTCY; DEMAND}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Operations Research \& Management Science}, Author-Email = {yjlgx020@126.com wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71501076, 71720107002]; Natural Science Foundation of Guangdong Province of China {[}2017A030312001]; Fundamental Research Funds for the Central Universities {[}2017ZD102]; Guangzhou Financial Services Innovation and Risk Management Research Base}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (Nos. 71501076 and 71720107002), the Natural Science Foundation of Guangdong Province of China (No. 2017A030312001), the Fundamental Research Funds for the Central Universities (No. 2017ZD102), and Guangzhou Financial Services Innovation and Risk Management Research Base.}, Cited-References = {Bellman R. 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Zhang WG, 2014, FUZZY SET SYST, V246, P107, DOI 10.1016/j.fss.2013.09.002. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023. Zhang WG, 2010, INSUR MATH ECON, V46, P493, DOI 10.1016/j.insmatheco.2010.01.007. Zhang WG, 2010, ECON MODEL, V27, P208, DOI 10.1016/j.econmod.2009.08.008. Zhang WG, 2009, EUR J OPER RES, V197, P693, DOI 10.1016/j.ejor.2008.07.011. Zhang XL, 2013, ECON MODEL, V35, P401, DOI 10.1016/j.econmod.2013.07.023. Zhu SS, 2004, IEEE T AUTOMAT CONTR, V49, P447, DOI 10.1109/TAC.2004.824474. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {44}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {21}, Journal-ISO = {Int. J. Inf. Technol. Decis. Mak.}, Doc-Delivery-Number = {GV5QP}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000446157500010}, DA = {2026-04-14}, } @article{ WOS:000402821200002, Author = {Zhang, Peng}, Title = {MULTIPERIOD MEAN SEMI-ABSOLUTE DEVIATION INTERVAL PORTFOLIO SELECTION WITH ENTROPY CONSTRAINTS}, Journal = {JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION}, Year = {2017}, Volume = {13}, Number = {3}, Pages = {1169-1187}, Month = {JUL}, Abstract = {In this paper, we discuss the uncertain portfolio selection problem where the asset returns are represented by interval data. Since the parameters are interval values, the gain of returns is interval value as well. A new multiperiod mean semi-absolute deviation interval portfolio selection model with the transaction costs, borrowing constraints, threshold constraints and diversification degree of portfolio has been proposed, where the return and risk are characterized by the interval mean and interval semi-absolute deviation of return, respectively. The diversification degree of portfolio is measured by the presented possibilistic entropy. Threshold constraints limit the amount of capital to be invested in each stock and prevent very small investments in any stock. Based on interval theories, the model is converted to a dynamic optimization problem. Because of the transaction costs, the model is a dynamic optimization problem with path dependence. The discrete approximate iteration method is designed to obtain the optimal portfolio strategy. Finally, the comparison analysis of differently desired number of assets and different preference coefficients are provided by numerical examples to illustrate the efficiency of the proposed approach and the designed algorithm.}, Publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS}, Address = {PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA}, Type = {Article}, Language = {English}, Affiliation = {Zhang, P (Corresponding Author), Wuhan Univ Technol, Sch Econ, Wuhan 430070, Peoples R China. Zhang, Peng, Wuhan Univ Technol, Sch Econ, Wuhan 430070, Peoples R China.}, DOI = {10.3934/jimo.2016067}, ISSN = {1547-5816}, EISSN = {1553-166X}, Keywords = {Multiperiod portfolio selection; mean semi-absolute deviation; entropy constraints; interval numbers; the discrete approximate iteration method}, Keywords-Plus = {OPTIMIZATION MODEL; VARIANCE}, Research-Areas = {Engineering; Operations Research \& Management Science; Mathematics}, Web-of-Science-Categories = {Engineering, Multidisciplinary; Operations Research \& Management Science; Mathematics, Interdisciplinary Applications}, Author-Email = {zhangpeng300478@aliyun.com}, Affiliations = {Wuhan University of Technology}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71271161]}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (nos. 71271161).}, Cited-References = {Alefeld G, 2000, J COMPUT APPL MATH, V121, P421, DOI 10.1016/S0377-0427(00)00342-3. 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Yoshimoto A, 1996, J OPER RES SOC JPN, V39, P99, DOI 10.15807/jorsj.39.99. Yu M, 2012, J GLOBAL OPTIM, V53, P363, DOI 10.1007/s10898-012-9887-2. Yu M, 2010, EUR J OPER RES, V201, P349, DOI 10.1016/j.ejor.2009.03.009. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang P, 2014, FUZZY SET SYST, V255, P74, DOI 10.1016/j.fss.2014.07.018. Zhang W., 2009, CHINESE LANDSCAPE AR, V2009, P7. Zhang WG, 2007, INFORM SCIENCES, V177, P2787, DOI 10.1016/j.ins.2007.01.030. Zhang WG, 2014, FUZZY SET SYST, V246, P107, DOI 10.1016/j.fss.2013.09.002. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023.}, Number-of-Cited-References = {49}, Times-Cited = {5}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {25}, Journal-ISO = {J. Ind. Manag. Optim.}, Doc-Delivery-Number = {EW9FC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000402821200002}, OA = {gold}, DA = {2026-04-14}, } @article{ WOS:000078682000005, Author = {Gien, D}, Title = {Towards a unified representation of quality in manufacturing systems}, Journal = {INTERNATIONAL JOURNAL OF COMPUTER INTEGRATED MANUFACTURING}, Year = {1999}, Volume = {12}, Number = {2}, Pages = {141-155}, Month = {MAR-APR}, Abstract = {Quality covers many concepts from company policy to low-level process control. On the one hand, quality is a purely subjective notion expressed in linguistic terms. On the other hand, it may be appraised by means of objective measurements. Even if only manufacturing quality is considered, probability theory cannot deal with all problems. This paper proposes the use of fuzzy set theory to represent by a single formalism various aspects of quality. Approaches based on possibility theory and on fuzzy logic are used to represent design requirements and manufacturing characteristics. The ability of fuzzy sets to model vagueness due to the human operator, as well as uncertainty and inaccuracy of the process, is shown. The links between possibility and probability are presented. An adaptation of fuzzy inference principles to represent the manufacturing errors is also proposed. Quality is appraised considering conformity of products, capability of process and economic cost. The approach based on fuzzy sets can aggregate and generalise common practices. An application to the analysis of machining errors is presented. The different methods are compared from the calculus angle and from the human interface angle.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Gien, D (Corresponding Author), Inst Francais Mecan Avancee, Equipe Rech Syst Prod, Lab Informat Modelisat \& Optimisat Syst, Campus Cezeaux,BP 265, F-63175 Aubiere, France. Inst Francais Mecan Avancee, Equipe Rech Syst Prod, Lab Informat Modelisat \& Optimisat Syst, F-63175 Aubiere, France.}, DOI = {10.1080/095119299130380}, ISSN = {0951-192X}, EISSN = {1362-3052}, Keywords-Plus = {TOLERANCES}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Engineering, Manufacturing; Operations Research \& Management Science}, Cited-References = {{[}Anonymous], GEOMETRIC MODELING P. 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YAU HT, 1992, INT J PROD RES, V30, P1517, DOI 10.1080/00207549208948105. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {34}, Times-Cited = {8}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {1}, Journal-ISO = {Int. J. Comput. Integr. Manuf.}, Doc-Delivery-Number = {168FX}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000078682000005}, DA = {2026-04-14}, } @article{ WOS:000334094400004, Author = {Stern, Julio Michael and de Braganca Pereira, Carlos A.}, Title = {Bayesian epistemic values: focus on surprise, measure probability!}, Journal = {LOGIC JOURNAL OF THE IGPL}, Year = {2014}, Volume = {22}, Number = {2, SI}, Pages = {236-254}, Month = {APR}, Abstract = {The e-value or epistemic value, ev(H), measures the statistical significance of H, a hypothesis about the parameter theta of a Bayesian model. The e-value is obtained by a probability-possibility transformation of the model's posterior measure, p(theta), and can, in turn, be used to define the FBST or Full Bayesian Significance Test. This article investigates the relation of this novel approach to more standard probability-possibility transformations. In particular, we show how and why the e-value focus on or conforms with s(theta) = p(theta)/r(theta), the model's surprise function relative to the reference density r(theta), while it keeps itself consistent with the model's posterior probability measure. In addition, we investigate traditional objections raised in decision theoretic Bayesian statistics against measures of significance engendered by probability-possibility transformations.}, Publisher = {OXFORD UNIV PRESS}, Address = {GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Stern, JM (Corresponding Author), Univ Sao Paulo, IME, BR-05508 Sao Paulo, Brazil. Stern, Julio Michael; de Braganca Pereira, Carlos A., Univ Sao Paulo, IME, BR-05508 Sao Paulo, Brazil.}, DOI = {10.1093/jigpal/jzt023}, ISSN = {1367-0751}, EISSN = {1368-9894}, Keywords = {Bayesian models; Belief calculi transformations; Complex hypotheses; Epistemic values; Possibilistic and probabilistic reasoning; Significance tests; Surprise function; Truth function}, Keywords-Plus = {RELATIVE INFORMATION}, Research-Areas = {Mathematics; Science \& Technology - Other Topics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics; Logic}, Author-Email = {jstern@ime.usp.br cabpereira@ime.usp.br}, Affiliations = {Universidade de Sao Paulo}, ResearcherID-Numbers = {Stern, Julio Michael/C-1128-2013 Pereira, Carlos Alberto de Bragança/O-5022-2015}, ORCID-Numbers = {Stern, Julio Michael/0000-0003-2720-3871 Pereira, Carlos Alberto de Bragança/0000-0001-6315-7484}, Funding-Acknowledgement = {Department of Applied Mathematics; Department of Statistics of the Institute of Mathematics and Statistics of the University of Sao Paulo; FAPESP-Fundacao de Amparo a Pesquisa do Estado de Sao Paulo; CNPq-Conselho Nacional de Desenvolvimento Cientifico e Tecnologico {[}PQ-306318-2008-3, PQ-302046-2009-7]}, Funding-Text = {The authors are grateful for the support of the Department of Applied Mathematics and the Department of Statistics of the Institute of Mathematics and Statistics of the University of Sao Paulo, FAPESP-Fundacao de Amparo a Pesquisa do Estado de Sao Paulo, and CNPq-Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (grants PQ-306318-2008-3 and PQ-302046-2009-7). Most of the material in this article was presented at the following conferences: EBL-2011, the XVI Brazilian Logic Conference, held on May 9-13 at LNCC-Laboratorio Nacional de Computacao Cien'ifica, Petropolis, Brazil; COBAL-2011, the III Latin American Meeting on Bayesian Statistics, held on October 23-27 at UFRO-Universidad de La Frontera, Pucon, Araucania, Chile; MBR-2012, Model-Based Reasoning in Science and Technology, held on June 21-23 at Sestri Levante, Genoa, Italy. Finally, a condensed version in Portuguese language is available at the proceedings of CBSF-2012, the II Brazilian Congress on Fuzzy Systems, held on November 06-09 at Natal, Rio Grande do Norte, Brazil. We are grateful to the organizers, reviewers and participants of all these conferences for their support, comments and suggestions, that helped us to improve early versions of this manuscript.}, Cited-References = {Amari S., 2007, Methods of Information Geometry (Translations of Mathematical Monographs). 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IGPL}, Doc-Delivery-Number = {AE6IQ}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000334094400004}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000463791300020, Author = {Liu, Yong-Jun and Zhang, Wei-Guo}, Title = {Possibilistic Moment Models for Multi-period Portfolio Selection with Fuzzy Returns}, Journal = {COMPUTATIONAL ECONOMICS}, Year = {2019}, Volume = {53}, Number = {4}, Pages = {1657-1686}, Month = {APR}, Abstract = {The aim of this paper is to investigate the effects of higher moments on multi-period portfolio selection with fuzzy returns. This paper gives the definitions of possibilistic mean and variance about the product of multiple fuzzy numbers. Based on these definitions, three multi-period fuzzy portfolio optimization models are proposed. The proposed models aim to maximize terminal wealth and minimize terminal risk by taking into account some realistic constraints including higher moments, budget constraint, round-lot constraint, cardinality constraint and bound constraint. To ensure the selection of the best solutions, a novel fuzzy programming approach-based self-adaptive differential evolution algorithm is designed to solve the proposed models. A numerical example is given to demonstrate the application of the proposed models. Computational results show that the designed algorithm is effective for solving complex portfolio selection model with realistic constraints.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Liu, YJ (Corresponding Author), South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China. Liu, Yong-Jun; Zhang, Wei-Guo, South China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China.}, DOI = {10.1007/s10614-018-9833-6}, ISSN = {0927-7099}, EISSN = {1572-9974}, Keywords = {Multi-period portfolio selection; Fuzzy set; Higher moments; Differential evolution}, Keywords-Plus = {OPTIMIZATION; VARIANCE}, Research-Areas = {Business \& Economics; Mathematics}, Web-of-Science-Categories = {Economics; Management; Mathematics, Interdisciplinary Applications}, Author-Email = {yjlgx0202@126.com wgzhang@scut.edu.cn}, Affiliations = {South China University of Technology}, ORCID-Numbers = {Liu, Yong-Jun/0000-0002-1728-480X}, Funding-Acknowledgement = {National Natural Science Foundation of China {[}71501076, 71720107002]; Natural Science Foundation of Guangdong Province of China {[}2017A030312001]; Fundamental Research Funds for the Central Universities {[}2017ZD102]; Guangzhou Financial Services Innovation and Risk Management Research Base}, Funding-Text = {This research was supported by the National Natural Science Foundation of China (Nos. 71501076 and 71720107002), the Natural Science Foundation of Guangdong Province of China (No. 2017A030312001), the Fundamental Research Funds for the Central Universities (No. 2017ZD102) and Guangzhou Financial Services Innovation and Risk Management Research Base.}, Cited-References = {Ammar E, 2003, CHAOS SOLITON FRACT, V18, P1045, DOI 10.1016/S0960-0779(03)00071-7. {[}Anonymous], 2007, J CONTROL THEORY APP, DOI DOI 10.1007/S11768-006-6178-9. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhang WG, 2012, EUR J OPER RES, V222, P341, DOI 10.1016/j.ejor.2012.04.023. Zhang WG, 2010, ECON MODEL, V27, P208, DOI 10.1016/j.econmod.2009.08.008. Zhang XL, 2010, COMPUT ECON, V36, P191, DOI 10.1007/s10614-010-9220-4. Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3.}, Number-of-Cited-References = {44}, Times-Cited = {11}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {38}, Journal-ISO = {Comput. Econ.}, Doc-Delivery-Number = {HS3VT}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000463791300020}, DA = {2026-04-14}, } @article{ WOS:000434239800004, Author = {Chen, Zhen-Song and Martinez, Luis and Chin, Kwai-Sang and Tsui, Kwok-Leung}, Title = {Two-stage aggregation paradigm for HFLTS possibility distributions: A hierarchical clustering perspective}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2018}, Volume = {104}, Pages = {43-66}, Month = {AUG 15}, Abstract = {The integration of possibility distribution into hesitant fuzzy linguistic term set (HFLTS) adds an extra dimension to individual opinion approximation process and significantly leads to enhanced data quality and reliability. However, aggregation of HFLTS possibility distributions involves merely associated possibilities of linguistic terms without taking into account all possible combinations of individual linguistic opinions. Therefore, computing with HFLTS possibility distributions in such a way has a high possibility of distorting final decisions due to loss of information. The introduction of hesitant 2-tuple linguistic term set (H2TLTS), which technically includes the HFLTS as a special case, offers us a different point of view in consolidating the aggregation process of HFLTSs. Due to the resemblance with H2TLTS, the alternative explantation of HFLTS, i.e., possibility distribution, can be analogously adapted to the theory of H2TLTS. By means of a conceptually simple recasting of HFLTS possibility distribution into a unified framework for H2TLTS possibility distribution with the development of possibilistic 2-tuple linguistic pair (P2TLP) concept, we develop a novel two-stage aggregation paradigm for HFLTS possibility distributions. At the first stage, the initial aggregation takes all possible combinations of P2TLPs in separate HFLTS possibility distributions together to generate an aggregated set of P2TLPs. Building on that, the subsequent stage proposes a similarity measure-based agglomerative hierarchical clustering (SM-AggHC) algorithm to reduce the cardinality of the aggregate set under consideration. The centroid approach combined with the normalization process finally guarantees the aggregation outcomes to be operated as H2TLTS possibility distributions. (C) 2018 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Chen, ZS (Corresponding Author), Wuhan Univ, Sch Civil Engn, Wuhan 430072, Hubei, Peoples R China. Chen, Zhen-Song, Wuhan Univ, Sch Civil Engn, Wuhan 430072, Hubei, Peoples R China. Martinez, Luis, Univ Jaen, Dept Comp Sci, Jaen 23071, Spain. Martinez, Luis, Wuhan Univ Technol, Sch Management, Wuhan 430070, Hubei, Peoples R China. Chin, Kwai-Sang; Tsui, Kwok-Leung, City Univ Hong Kong, Dept Syst Engn \& Engn Management, 83 Tat Chee Ave, Kowloon Tong, Hong Kong, Peoples R China.}, DOI = {10.1016/j.eswa.2018.03.013}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Hesitant fuzzy linguistic term set; Hesitant 2-tuple linguistic term set; Possibility distribution; Hierarchical clustering}, Keywords-Plus = {GROUP DECISION-MAKING; LINGUISTIC TERM SETS; MODEL; CONSENSUS; INFORMATION; PROPOSAL; SYSTEMS; SCALE}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {zschen@whu.edu.cn martin@ujaen.es mekschin@cityu.edu.hk kltsui@cityu.edu.hk}, Affiliations = {Wuhan University; Universidad de Jaen; Wuhan University of Technology; City University of Hong Kong}, ResearcherID-Numbers = {Martinez, Luis/A-1746-2009 Tsui, Kwok-Leung/JTU-2163-2023 Chen, Zhen-Song/K-3436-2019}, ORCID-Numbers = {Martinez, Luis/0000-0003-4245-8813 Chen, Zhen-Song/0000-0003-4360-5459}, Funding-Acknowledgement = {Theme-based Research Projects of the Research Grants Council {[}T32-101/15-R]; Fundamental Research Funds for the Central Universities; Key Project of the National Natural Science Foundation of China {[}71231007]; Spanish Government Project {[}TIN2015-665249]; National Natural Science Foundation of China {[}71373222]}, Funding-Text = {This work was supported by the Theme-based Research Projects of the Research Grants Council (Grant no. T32-101/15-R) and ``the Fundamental Research Funds for the Central Universities{''}, and partly supported by the Key Project of the National Natural Science Foundation of China (Grant No. 71231007), the Spanish Government Project (Grant No. TIN2015-665249), and the National Natural Science Foundation of China (Grant No. 71373222).}, Cited-References = {Alcalá R, 2007, IEEE T FUZZY SYST, V15, P616, DOI 10.1109/TFUZZ.2006.889880. Beg I, 2016, J INTELL FUZZY SYST, V30, P143, DOI 10.3233/IFS-151740. Beliakov G., 2015, PRACTICAL GUIDE AVER. Bordogna G, 1997, IEEE T SYST MAN CY A, V27, P126, DOI 10.1109/3468.553232. Bustince H, 2016, IEEE T FUZZY SYST, V24, P179, DOI 10.1109/TFUZZ.2015.2451692. Chen SM, 2014, INFORM SCIENCES, V286, P63, DOI 10.1016/j.ins.2014.06.020. Chen ZS, 2017, INFORM SCIENCES, V394, P141, DOI 10.1016/j.ins.2017.02.025. Chen ZS, 2016, INFORM SCIENCES, V357, P61, DOI 10.1016/j.ins.2016.04.006. Cordón O, 2000, IEEE T FUZZY SYST, V8, P335, DOI 10.1109/91.855921. 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Appl.}, Doc-Delivery-Number = {GI2ZG}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000434239800004}, DA = {2026-04-14}, } @article{ WOS:001191648000001, Author = {Li, Xinya and Sun, Yan and Qi, Jinfeng and Wang, Danzhu}, Title = {Chance-Constrained Optimization for a Green Multimodal Routing Problem with Soft Time Window under Twofold Uncertainty}, Journal = {AXIOMS}, Year = {2024}, Volume = {13}, Number = {3}, Month = {MAR}, Abstract = {This study investigates a green multimodal routing problem with soft time window. The objective of routing is to minimize the total costs of accomplishing the multimodal transportation of a batch of goods. To improve the feasibility of optimization, this study formulates the routing problem in an uncertain environment where the capacities and carbon emission factors of the travel process and the transfer process in the multimodal network are considered fuzzy. Taking triangular fuzzy numbers to describe the uncertainty, this study proposes a fuzzy nonlinear programming model to deal with the specific routing problem. To make the problem solvable, this study adopts the fuzzy chance-constrained programming approach based on the possibility measure to remove the fuzziness of the proposed model. Furthermore, we use linear inequality constraints to reformulate the nonlinear equality constraints represented by the continuous piecewise linear functions and realize the linearization of the nonlinear programming model to improve the computational efficiency of problem solving. After model processing, we can utilize mathematical programming software to run exact solution algorithms to solve the specific routing problem. A numerical experiment is given to show the feasibility of the proposed model. The sensitivity analysis of the numerical experiment further clarifies how improving the confidence level of the chance constraints to enhance the possibility that the multimodal route planned in advance satisfies the real-time capacity constraint in the actual transportation, i.e., the reliability of the routing, increases both the total costs and carbon emissions of the route. The numerical experiment also finds that charging carbon emissions is not absolutely effective in emission reduction. In this condition, bi-objective analysis indicates the conflicting relationship between lowering transportation activity costs and reducing carbon emissions in routing optimization. The sensitivity of the Pareto solutions concerning the confidence level reveals that reliability, economy, and environmental sustainability are in conflict with each other. Based on the findings of this study, the customer and the multimodal transport operator can organize efficient multimodal transportation, balancing the above objectives using the proposed model.}, Publisher = {MDPI}, Address = {ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND}, Type = {Article}, Language = {English}, Affiliation = {Sun, Y (Corresponding Author), Shandong Univ Finance \& Econ, Sch Management Sci \& Engn, Jinan 250014, Peoples R China. Wang, DZ (Corresponding Author), China Acad Railway Sci Corp Ltd, Transportat \& Econ Res Inst, Beijing 100081, Peoples R China. Li, Xinya; Qi, Jinfeng, Shandong Open Univ, Inst Technol, Jinan 250010, Peoples R China. Sun, Yan, Shandong Univ Finance \& Econ, Sch Management Sci \& Engn, Jinan 250014, Peoples R China. Wang, Danzhu, China Acad Railway Sci Corp Ltd, Transportat \& Econ Res Inst, Beijing 100081, Peoples R China.}, DOI = {10.3390/axioms13030200}, Article-Number = {200}, EISSN = {2075-1680}, Keywords = {green multimodal transportation; routing; soft time window; twofold uncertainty; triangular fuzzy numbers; fuzzy chance-constrained programming; linear programming model}, Keywords-Plus = {MODEL; LOCATION}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {sunyanbjtu@163.com wangdanzhu@rails.cn}, Affiliations = {Shandong University of Finance \& Economics}, Funding-Acknowledgement = {Shandong Provincial Natural Science Foundation of China}, Funding-Text = {No Statement Available}, Cited-References = {{[}Anonymous], A New Mode of Green Transportation System Should Be Constructed by Taking the Multimodal Transportation in the Major Trunk Lines as a Breakthrough. Arriola ER, 2022, INT J ENERG RES, V46, P6, DOI 10.1002/er.5729. 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Zandkarimkhani S, 2020, ANN OPER RES, V295, P425, DOI 10.1007/s10479-020-03677-7. Zhang X., 2022, J. Beijing Jiaotong Univ. (Soc. Sci. Ed.), V21, P113, DOI DOI 10.3390/SU13158180. Zhang X, 2021, SUSTAINABILITY-BASEL, V13, DOI 10.3390/su13158180. Zheng YS, 2006, APPL MATH COMPUT, V176, P673, DOI 10.1016/j.amc.2005.10.013. Zimmermann HJ, 2010, WIRES COMPUT STAT, V2, P317, DOI 10.1002/wics.82.}, Number-of-Cited-References = {31}, Times-Cited = {16}, Usage-Count-Last-180-days = {9}, Usage-Count-Since-2013 = {68}, Journal-ISO = {Axioms}, Doc-Delivery-Number = {MD3L0}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001191648000001}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000684464100001, Author = {Das, Subhadarsini and Das, Jew and Umamahesh, N. V.}, Title = {Investigating seasonal drought severity-area-frequency (SAF) curve over Indian region: incorporating GCM and scenario uncertainties}, Journal = {STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT}, Year = {2022}, Volume = {36}, Number = {6}, Pages = {1597-1614}, Month = {JUN}, Abstract = {Understanding the devastating nature of drought, this work has assessed the variability in the Severity-Area-Frequency (SAF) curve using Standardised Precipitation Evapotranspiration Index (SPEI) as meteorological drought indicator over Maharashtra, India. The future meteorological outputs from 19 Global Circulation Models (GCMs) of the NASA Earth Exchange Global Daily Downscaled Projections (NEX-GDDP) under two Representative Concentration Pathway (RCP) 4.5 and 8.5 are used. The SAF curves are developed for five different seasons namely pre-monsoon, monsoon, post-monsoon, Kharif and Rabi. The uncertainty associated with GCMs and scenarios is assessed using possibility theory. The results reveal that the precipitation magnitude is expected to increase in pre-monsoon, monsoon, and Kharif seasons over most of the areas in Maharashtra. However, the temperature is likely to increase during all the seasons in future. The frequency of extreme drought condition during post-monsoon, pre-monsoon, and Rabi seasons shows an increment as compared to historical period. The Rabi season drought is noticed to be most pronounced and likely to affect significant portions of Maharashtra during all return periods. The SAF curve reveals that, in most of the cases, the percentage of drought affected area is expected to increase for high magnitude of severity.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Das, J (Corresponding Author), Natl Inst Technol Warangal, Dept Civil Engn, Warangal, Andhra Prades, India. Das, Subhadarsini; Das, Jew; Umamahesh, N. V., Natl Inst Technol Warangal, Dept Civil Engn, Warangal, Andhra Prades, India.}, DOI = {10.1007/s00477-021-02073-2}, EarlyAccessDate = {AUG 2021}, ISSN = {1436-3240}, EISSN = {1436-3259}, Keywords = {SAF curve; Seasonal drought; SPEI; NEX-GDDP; Uncertainty analysis}, Keywords-Plus = {CLIMATE-CHANGE; PROJECTED CLIMATE; BIAS CORRECTION; POTENTIAL EVAPOTRANSPIRATION; DATA SET; MODEL; PRECIPITATION; TEMPERATURE; VARIABILITY; IMPACTS}, Research-Areas = {Engineering; Environmental Sciences \& Ecology; Mathematics; Water Resources}, Web-of-Science-Categories = {Engineering, Environmental; Engineering, Civil; Environmental Sciences; Statistics \& Probability; Water Resources}, Author-Email = {jewdas05@gmail.com}, Affiliations = {National Institute of Technology (NIT System); National Institute of Technology Warangal}, ResearcherID-Numbers = {Nanduri, Umamahesh/AAD-2641-2020 Das, Subhadarsini/IVH-9190-2023 Das, Jew/N-2176-2019}, ORCID-Numbers = {Nanduri, Umamahesh/0000-0003-0460-8956 Das, Jew/0000-0002-0728-7708}, Cited-References = {Aadhar S., 2020, J HYDROMETEOROL, DOI 10.1175/JHM-D-19-0224.1. 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Risk Assess.}, Doc-Delivery-Number = {1J0DD}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000684464100001}, DA = {2026-04-14}, } @article{ WOS:000513039000001, Author = {Muzzioli, Silvia and Gambarelli, Luca and De Baets, Bernard}, Title = {Option implied moments obtained through fuzzy regression}, Journal = {FUZZY OPTIMIZATION AND DECISION MAKING}, Year = {2020}, Volume = {19}, Number = {2}, Pages = {211-238}, Month = {JUN}, Abstract = {The aim of this paper is to investigate the potential of fuzzy regression methods for computing more reliable estimates of higher-order moments of the risk-neutral distribution. We improve upon the formula of Bakshi et al. (RFS 16(1):101-143, 2003), which is used for the computation of market volatility and skewness indices (such as the VIX and the SKEW indices traded on the Chicago Board Options Exchange), through the use of fuzzy regression methods. In particular, we use the possibilistic regression method of Tanaka, Uejima and Asai, the least squares fuzzy regression method of Savic and Pedrycz and the hybrid method of Ishibuchi and Nii. We compare the fuzzy moments with those obtained by the standard methodology, based on the Bakshi et al. (2003) formula, which relies on an ex-ante choice of the option prices to be used and cubic spline interpolation. We evaluate the quality of the obtained moments by assessing their forecasting power on future realized moments. We compare the competing forecasts by using both the Model Confidence Set and Mincer-Zarnowitz regressions. We find that the forecasts for skewness and kurtosis obtained using fuzzy regression methods are closer to the subsequently realized moments than those provided by the standard methodology. In particular, the lower bound of the fuzzy moments obtained using the Savic and Pedrycz method is the best ones. The results are important for investors and policy makers who can rely on fuzzy regression methods to get a more reliable forecast for skewness and kurtosis.}, Publisher = {SPRINGER}, Address = {ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Muzzioli, S (Corresponding Author), Univ Modena \& Reggio Emilia, Dept Econ, Viale Berengario 51, I-41121 Modena, Italy. Muzzioli, S (Corresponding Author), Univ Modena \& Reggio Emilia, CEFIN, Viale Berengario 51, I-41121 Modena, Italy. Muzzioli, Silvia; Gambarelli, Luca, Univ Modena \& Reggio Emilia, Dept Econ, Viale Berengario 51, I-41121 Modena, Italy. Muzzioli, Silvia, Univ Modena \& Reggio Emilia, CEFIN, Viale Berengario 51, I-41121 Modena, Italy. Gambarelli, Luca, Univ Modena \& Reggio Emilia, Marco Biagi Fdn, Viale Berengario 51, I-41121 Modena, Italy. De Baets, Bernard, Univ Ghent, Dept Data Anal \& Math Modelling, KERMIT, Coupure Links 653, B-9000 Ghent, Belgium.}, DOI = {10.1007/s10700-020-09316-x}, EarlyAccessDate = {FEB 2020}, ISSN = {1568-4539}, EISSN = {1573-2908}, Keywords = {Forecasting; Fuzzy regression; Skewness; Kurtosis; Italian market}, Keywords-Plus = {NONLINEAR-REGRESSION; PORTFOLIO SELECTION; VOLATILITY; MODEL; BLACK}, Research-Areas = {Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Operations Research \& Management Science}, Author-Email = {silvia.muzzioli@unimore.it luca.gambarelli@unimore.it bernard.debaets@ugent.be}, Affiliations = {Universita di Modena e Reggio Emilia; Universita di Modena e Reggio Emilia; Universita di Modena e Reggio Emilia; Ghent University}, ResearcherID-Numbers = {Gambarelli, Luca/HPH-7062-2023 Muzzioli, Silvia/B-3717-2016 De Baets, Bernard/E-8877-2010}, ORCID-Numbers = {Gambarelli, Luca/0000-0003-0978-5572 Muzzioli, Silvia/0000-0003-0738-6690 }, Cited-References = {Alfonso G, 2017, J COMPUT APPL MATH, V318, P47, DOI 10.1016/j.cam.2016.12.001. 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Mak.}, Doc-Delivery-Number = {LH1YC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000513039000001}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000623673600002, Author = {Xue, Yige and Deng, Yong}, Title = {A new belief structure based on cardinality measure}, Journal = {COMPUTATIONAL \& APPLIED MATHEMATICS}, Year = {2021}, Volume = {40}, Number = {2}, Month = {FEB 24}, Abstract = {Belief structure is a very effective tool to represent unknown information, and it is widely used in information fusion. Measure is also a perfect tool for evaluating unknown information, and cardinality-based measure is one of the most popular measure theory. Recently, Yager proposed the conjunction of possibility measures, which can fuse possibility measures very efficiently and has promising aspects. However, how to efficiently integrate the cardinality-based measures is still an open issue. This paper proposes a new conjunction model to fuse two cardinality measures. Interestingly, the result of the fusion is still a measure and a cardinality measure. With the help of Choquet integral, a new belief structure based on cardinality measure is proposed, which is based on the proposed conjunction of cardinality measures. For each subset in the space, the new belief structure based on cardinality measure finds the related focal elements, and calculates the cert function values and poss function values of these focal elements. Based on these cert function values and poss function values, the belief and plausibility of the corresponding subset can be calculated, and the conjunction of cardinality measures plays a role in dividing the weight of focal elements in this process. This paper also proposes a simple calculation model for this new belief structure based on cardinality measure, which greatly reduces the computational complexity of the proposed model. Many theorems and proofs of the proposed models have been proposed. Numerical examples and practical application have been mentioned to reveal the high efficiency of the conjunction of cardinality measures and the new belief structure based on cardinality measure. The experimental results show that the proposed models can conjunct cardinality-based measures to a new cardinality measure successfully and solve the issues of decision making effectively.}, Publisher = {SPRINGER HEIDELBERG}, Address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, Type = {Article}, Language = {English}, Affiliation = {Deng, Y (Corresponding Author), Univ Elect Sci \& Technol China, Inst Fundamental \& Frontier Sci, Chengdu 610054, Sichuan, Peoples R China. Deng, Y (Corresponding Author), Shaanxi Normal Univ, Sch Educ, Xian 710062, Shaanxi, Peoples R China. Deng, Y (Corresponding Author), Japan Adv Inst Sci \& Technol, Sch Knowledge Sci, Nomi, Ishikawa 9231211, Japan. Xue, Yige; Deng, Yong, Univ Elect Sci \& Technol China, Inst Fundamental \& Frontier Sci, Chengdu 610054, Sichuan, Peoples R China. Deng, Yong, Shaanxi Normal Univ, Sch Educ, Xian 710062, Shaanxi, Peoples R China. Deng, Yong, Japan Adv Inst Sci \& Technol, Sch Knowledge Sci, Nomi, Ishikawa 9231211, Japan.}, DOI = {10.1007/s40314-021-01452-3}, Article-Number = {59}, ISSN = {2238-3603}, EISSN = {1807-0302}, Keywords = {Belief structure; Choquet integral; Cardinality-based measure; Possibility measure; Decision making}, Keywords-Plus = {DECISION-MAKING; INFORMATION VOLUME; FAULT-DIAGNOSIS; FUZZY; OPERATORS; NETWORK; SYSTEMS}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied}, Author-Email = {prof.deng@hotmail.com}, Affiliations = {University of Electronic Science \& Technology of China; Shaanxi Normal University; Japan Advanced Institute of Science \& Technology (JAIST)}, ResearcherID-Numbers = {Xue, Yige/MTG-0865-2025 Deng, Yong/A-9193-2015}, ORCID-Numbers = {Xue, Yige/0009-0000-9277-8642 }, Funding-Acknowledgement = {National Natural Science Foundation of China {[}61973332]; JSPS Invitational Fellowships for Research in Japan}, Funding-Text = {The authors greatly appreciate the reviews' suggestions and the editor's encouragement. 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Zhou M, 2020, KNOWL-BASED SYST, V189, DOI 10.1016/j.knosys.2019.105110.}, Number-of-Cited-References = {77}, Times-Cited = {6}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {29}, Journal-ISO = {Comput. Appl. Math.}, Doc-Delivery-Number = {QP2NH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000623673600002}, DA = {2026-04-14}, } @article{ WOS:001640227800001, Author = {Harikaran, B. and Gomathi, D. and Harshavarthini, S. and Sathiyaraj, T. and Lee, S. M.}, Title = {An attack-tolerant control framework for interval type-3 fuzzy systems using a functional estimator}, Journal = {INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE}, Year = {2025}, Month = {2025 DEC 13}, Abstract = {This paper investigates the asymptotic stabilisation problem of interval type-3 fuzzy systems under deception attacks, using a functional observer-based feedback control approach. A non-parallel distributed compensation controller, combined with functional feedback, is designed to counter the effects of deception attacks and improve the overall stability of the system by virtue of partially known system states. In addition, the inclusion of secondary membership functions enables interval type-3 fuzzy systems to effectively handle uncertainties and noisy data within the framework of possibility theory, highlighting their modelling advantages. By applying Lyapunov stability theory, sufficient conditions for guaranteeing asymptotic stability are established in the form of linear matrix inequalities (LMI). Furthermore, convex relaxation technique is incorporated into the LMI formulation to enhance the convergence rate and provide greater flexibility in the design of the controller. To demonstrate the effectiveness and reliability of the proposed method, two numerical examples are presented, including a real-time application involving a mass-spring-damper system, confirming the practical applicability of the control strategy.}, Publisher = {TAYLOR \& FRANCIS LTD}, Address = {2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND}, Type = {Article; Early Access}, Language = {English}, Affiliation = {Harshavarthini, S (Corresponding Author), Vellore Inst Technol, Sch Adv Sci, Dept Math, Chennai 600127, India. Harikaran, B.; Gomathi, D.; Harshavarthini, S., Vellore Inst Technol, Sch Adv Sci, Dept Math, Chennai 600127, India. Sathiyaraj, T., UCSI Univ, Inst Actuarial Sci \& Data Analyt, Cheras, Kuala Lumpur, Malaysia. Lee, S. M., Kyungpook Natl Univ, Sch Elect \& Elect Engn, Daegu, South Korea.}, DOI = {10.1080/00207721.2025.2602069}, EarlyAccessDate = {DEC 2025}, ISSN = {0020-7721}, EISSN = {1464-5319}, Keywords = {Interval type-3 fuzzy systems; time-varying delays; cyber-attacks; functional observer; Lyapunov stability theory; convex relaxation technique}, Keywords-Plus = {TIME-DELAY SYSTEMS; INVERTERS}, Research-Areas = {Automation \& Control Systems; Computer Science; Operations Research \& Management Science}, Web-of-Science-Categories = {Automation \& Control Systems; Computer Science, Theory \& Methods; Operations Research \& Management Science}, Author-Email = {varthiniksp@gmail.com}, Affiliations = {Vellore Institute of Technology (VIT); VIT Chennai; UCSI University; Kyungpook National University (KNU)}, ResearcherID-Numbers = {Lee, Sangmoon/C-4502-2018 Shanmugam, Harshavarthini/AAK-3178-2021 Sathiyaraj, T/GRF-4084-2022 }, ORCID-Numbers = {Lee, Sangmoon/0000-0001-8252-952X Shanmugam, Harshavarthini/0000-0001-8707-910X , Gomathi Dhanabal/0009-0008-6483-2689 Sathiyaraj, T/0000-0002-0551-1067 , Harikaran B/0009-0005-9695-8364}, Funding-Acknowledgement = {Science and Engineering Research Board (SERB); Startup Research Grant (SRG) {[}SRG/2023/000171]; Department of Science and Technology (DST)}, Funding-Text = {This work was financially supported by Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India under Startup Research Grant (SRG), File No. SRG/2023/000171.}, Cited-References = {Aly AA, 2021, ENERGIES, V14, DOI 10.3390/en14227801. 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Sci.}, Doc-Delivery-Number = {X0597}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001640227800001}, DA = {2026-04-14}, } @article{ WOS:000290605000003, Author = {Kijazi, Martin Herbert and Kant, Shashi}, Title = {Social acceptability of alternative forest regimes in Mount Kilimanjaro, Tanzania, using stakeholder attitudes as metrics of uncertainty}, Journal = {FOREST POLICY AND ECONOMICS}, Year = {2011}, Volume = {13}, Number = {4}, Pages = {242-257}, Month = {APR}, Abstract = {The study evaluates social acceptability of three alternative forest management regimes: state-controlled management; community-based management; and collaborative management involving multiple stakeholders. Villagers, foresters, park employees, entrepreneurs and environmentalists were surveyed. A fuzzy-logic based possibility schema for evaluation of forest stakeholder attitudes is developed, and empirically used to investigate stakeholder attitudes towards these alternative forest regimes in Mount Kilimanjaro, Tanzania. Non-parametric statistical analysis is used to draw statistical inferences. The three regimes are ranked based on efficiency, justice, and (un)certainty criteria. The results indicate that the conventional bureaucratic forest regime is falling out of favor in the interests of multi-stakeholders forest management. Due to strategic significance of Mount Kilimanjaro forest resources, and diverse interests of multi-stakeholders (local to global), complete devolution of power to local communities did not gunner an overall favorable social acceptability, either, among the surveyed stakeholders. The findings, however, support a strong desire for increased societal participation in the form of collaborative multi-stakeholder forest management. This outcome calls for significant policy changes to increase participation, as well as harmonization of values and institutions of different stakeholders as a pre-requisite for negotiation among the stakeholders in Mount Kilimanjaro who seek to co-ordinate their activities for sustainable forest management. (C) 2010 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Kant, S (Corresponding Author), Univ Toronto, Fac Forestry, 33 Willcocks St, Toronto, ON M5S 3B3, Canada. Kijazi, Martin Herbert; Kant, Shashi, Univ Toronto, Fac Forestry, Toronto, ON M5S 3B3, Canada.}, DOI = {10.1016/j.forpol.2010.12.001}, ISSN = {1389-9341}, EISSN = {1872-7050}, Keywords = {Decision-making; Fuzzy sets; Inexactitude; Multi-stakeholder evaluation; Possibility theory; Uncertainty}, Keywords-Plus = {FUZZY-SETS; MANAGEMENT; PRIORITIES; CHOICE; CONSERVATION; PROBABILITY; PERCEPTIONS; CRITERIA; MODEL}, Research-Areas = {Business \& Economics; Environmental Sciences \& Ecology; Forestry}, Web-of-Science-Categories = {Economics; Environmental Studies; Forestry}, Author-Email = {kijazimartin@gmail.com shashi.kant@utoronto.ca}, Affiliations = {University of Toronto}, Funding-Acknowledgement = {Ministry of Science and Technology, Government of Ontario, Canada}, Funding-Text = {Financial support from the Premier Research Excellence Award (PREA), Ministry of Science and Technology, Government of Ontario, Canada, is greatly appreciated. The logistical support provided by Kilimanjaro National Park Authorities, in Tanzania, during the field work is equally valued.}, Cited-References = {Agrawal A, 2001, POLIT SOC, V29, P485, DOI 10.1177/0032329201029004002. Alho JM, 1997, FOREST SCI, V43, P521. Alho JM, 1996, J ROY STAT SOC C, V45, P1. {[}Anonymous], I POLICY LIVELIHOOD. {[}Anonymous], FAO P 12 WORLD FOR C. {[}Anonymous], PROP ANN MOUNT MER M. {[}Anonymous], NAT FOR POL. {[}Anonymous], P 12 WORLD FOR C AR. {[}Anonymous], THEOR JUSTICE. {[}Anonymous], THIS FISSURED LAND E. {[}Anonymous], P 25 ANN PROF FOR ED. {[}Anonymous], I SUSTAINABILITY NAT. {[}Anonymous], P 25 ANN PROF FOR ED. {[}Anonymous], EC SUSTAINABILITY NA. {[}Anonymous], RES EC AN CATCHM FOR. {[}Anonymous], BRIT COLUMBIA J ECOS. {[}Anonymous], 1996, degradation. {[}Anonymous], THESIS U TORONTO. {[}Anonymous], THESIS U NATAL. {[}Anonymous], AER SURV THREATS MT. {[}Anonymous], READINGS NATURAL RES. {[}Anonymous], ISIS. 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Zimmermann HJ, 2000, EUR J OPER RES, V122, P190, DOI 10.1016/S0377-2217(99)00228-3.}, Number-of-Cited-References = {73}, Times-Cited = {17}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {24}, Journal-ISO = {Forest Policy Econ.}, Doc-Delivery-Number = {764CC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000290605000003}, DA = {2026-04-14}, } @article{ WOS:000397836100002, Author = {Rubio, Abel and Bermudez, Jose D. and Vercher, Enriqueta}, Title = {Improving stock index forecasts by using a new weighted fuzzy-trend time series method}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2017}, Volume = {76}, Pages = {12-20}, Month = {JUN 15}, Abstract = {We propose using new weighted operators in fuzzy time series to forecast the future performance of stock market indices. Based on the chronological sequence of weights associated with the original fuzzy logical relationships, we define both chronological-order and trend-order weights, and incorporate our proposals for the ex-post forecast into the classical modeling approach of fuzzy time series. These modifications for the assignation of weights affect the forecasting process, because we use jumps as technical indicators to predict stock trends, and additionally, they provide a trapezoidal fuzzy number as a forecast of the future performance of the stock index value. Working with trapezoidal fuzzy numbers allows us to analyze both the expected value and the ambiguity of the future behavior of the stock index, using a possibilistic interval-valued mean approach. Therefore, using fuzzy logic more useful information is provided to the decision analyst, which should be appropriate in a financial context. We analyze the effectiveness of our approach with respect to other weighted fuzzy time series methods using trading data sets from the Taiwan Stock Index (TAIEX), the Japanese NIKKEI Index, the German Stock Index (DAX) and the Spanish Stock Index (IBEX35). The comparative results indicate the better accuracy of our procedure for point-wise one-step ahead forecasts. (C) 2017 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Vercher, E (Corresponding Author), Univ Valencia, Dept Stat \& Operat Res, C Dr Moliner 50, E-46100 Burjassot, Spain. Rubio, Abel; Bermudez, Jose D.; Vercher, Enriqueta, Univ Valencia, Dept Stat \& Operat Res, C Dr Moliner 50, E-46100 Burjassot, Spain.}, DOI = {10.1016/j.eswa.2017.01.049}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy time series; Forecasting; Trend analysis; Stock market indices; Fuzzy numbers}, Keywords-Plus = {LOGICAL RELATIONSHIP GROUPS; PORTFOLIO OPTIMIZATION; INFORMATION GRANULES; ENROLLMENTS; MODELS; ALGORITHM; INTERVALS}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {arufor@alumni.uv.es bermudez@uv.es vercher@uv.es}, Affiliations = {University of Valencia}, ResearcherID-Numbers = {Bermudez, Jose/L-1147-2014 Vercher, Enriqueta/N-7767-2019}, ORCID-Numbers = {Bermudez, Jose/0000-0003-4699-5923 Vercher, Enriqueta/0000-0001-8692-1318}, Funding-Acknowledgement = {Ministerio de Economia y Competitividad, Spain {[}MTM2014-56233-P]}, Funding-Text = {The authors would like to thank the anonymous referees for their comments, with helped us to improve a previous version of the paper. 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Yu HK, 2005, PHYSICA A, V349, P609, DOI 10.1016/j.physa.2004.11.006. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zhou RX, 2015, FUZZY OPTIM DECIS MA, V14, P381, DOI 10.1007/s10700-015-9206-8.}, Number-of-Cited-References = {42}, Times-Cited = {57}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {87}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {EQ1NF}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000397836100002}, DA = {2026-04-14}, } @article{ WOS:000260243000004, Author = {Beynon, Malcolm J. and Munday, Max}, Title = {Considering the effects of imprecision and uncertainty in ecological footprint estimation: An approach in a fuzzy environment}, Journal = {ECOLOGICAL ECONOMICS}, Year = {2008}, Volume = {67}, Number = {3}, Pages = {373-383}, Month = {OCT 15}, Abstract = {This paper demonstrates the development of the Ecological Footprint within a fuzzy environment. The approach taken provides a means to understand the impacts of imprecision and uncertainty in the input-output framework, which forms a cornerstone of many recently constructed Footprint estimates. The paper uses, as a basis, an example of Footprint construction presented in the paper of Bicknell et al. {[}Bicknell, K.B., Ball, R.J., Cullen, R., Bigsby, H.R., 1998. New methodology for the Ecological Footprint with an application to the New Zealand economy. Ecological Economics 27, 149-160]. The analysis considers levels of fuzziness surrounding the technical coefficients in the underlying input-output framework. The results presented fully exposit the effect of the defined analysis, including the presentation of; fuzzy sector Ecological Footprints and overall fuzzy Ecological Footprint. Accompanying these findings, the fuzzy versions of certain moments associated with these Footprints are also presented, namely possibilistic mean and variance. The findings contribute to the elucidation of the potential policy impacts afforded when acknowledging imprecision and uncertainty in the data used in estimating Ecological Footprints. (C) 2008 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Beynon, MJ (Corresponding Author), Cardiff Univ, Cardiff Business Sch, Colum Dr, Cardiff CF10 3EU, S Glam, Wales. Beynon, Malcolm J., Cardiff Univ, Cardiff Business Sch, Cardiff CF10 3EU, S Glam, Wales.}, DOI = {10.1016/j.ecolecon.2008.07.005}, ISSN = {0921-8009}, EISSN = {1873-6106}, Keywords = {Ecological; Footprints; Fuzzy set theory; Imprecision input-output tables}, Keywords-Plus = {REGIONAL CONSUMPTION ACTIVITIES; INPUT-OUTPUT; STOCHASTIC-ANALYSIS; IMPACT; MULTIPLIERS; FRAMEWORK; NUMBERS}, Research-Areas = {Environmental Sciences \& Ecology; Business \& Economics}, Web-of-Science-Categories = {Ecology; Economics; Environmental Sciences; Environmental Studies}, Author-Email = {beynonmj@cardiff.ac.uk mundaymc@cardiff.ac.uk}, Affiliations = {Cardiff University}, Funding-Acknowledgement = {ESRC {[}not\_applicable] Funding Source: UKRI; Economic and Social Research Council {[}not\_applicable] Funding Source: researchfish}, Cited-References = {ABEBE AJ, 2000, P 4 INT C HYDR IOWA. Andriantiatsaholiniaina LA, 2004, ECOL ECON, V48, P149, DOI 10.1016/j.ecolecon.2003.08.009. 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Wiedmann T, 2006, ECOL ECON, V56, P28, DOI 10.1016/j.ecolecon.2005.05.012. Wiedmann T, 2007, ECOL ECON, V61, P15, DOI 10.1016/j.ecolecon.2006.12.003. ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X.}, Number-of-Cited-References = {42}, Times-Cited = {23}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {28}, Journal-ISO = {Ecol. Econ.}, Doc-Delivery-Number = {363CH}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000260243000004}, DA = {2026-04-14}, } @article{ WOS:000453259100014, Author = {Onasanya, B. O. and Hoskova-Mayerova, S.}, Title = {Some Topological and Algebraic Properties of α-level Subsets' Topology of a Fuzzy Subset}, Journal = {ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA}, Year = {2018}, Volume = {26}, Number = {3}, Pages = {213-227}, Abstract = {The theory of fuzzy sets, since its foundation, has advanced in a wide range of means and in many fields. One of the areas to which fuzzy set theory has been applied extensively is mathematical programming. Nevertheless, the applications of fuzzy theory can be found in e.g. logic, decision theory, artificial intelligence, computer science, control engineering, expert systems, management science, operations research, robotics, and others. Theoretical improvements have been made in many directions. Nowadays it has a lot of applications also on possibility theory, actuarial credibility theory, fuzzy logic and approximate reasoning, fuzzy control, fuzzy data analysis, fuzzy set models in operations research, etc. The aim of this paper is to investigate some topological properties of a set X when the topology defined on it is the collection of all the alpha-level subsets of a fuzzy subset A of X. We have been able to establish some results regarding fuzzy cluster level subsets, convergence of level subsets and quasicompactness among others.}, Publisher = {OVIDIUS UNIV PRESS}, Address = {FAC MATHEMATICS \& COMPUTER SCIENCE, BULEVARDUL MAMAIA 124, CONSTANTA, 900527, ROMANIA}, Type = {Article}, Language = {English}, Affiliation = {Onasanya, BO (Corresponding Author), Univ Ibadan, Dept Math, Fac Sci, Ibadan, Nigeria. Onasanya, B. O., Univ Ibadan, Dept Math, Fac Sci, Ibadan, Nigeria. Hoskova-Mayerova, S., Univ Def, Dept Math \& Phys, Fac Mil Technol, Brno, Czech Republic.}, DOI = {10.2478/auom-2018-0042}, ISSN = {1224-1784}, EISSN = {1844-0835}, Keywords = {quasicompact; cluster level set; minimal level set}, Keywords-Plus = {SPACES}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {babtu2001@yahoo.com sarka.mayerova@unob.cz}, Affiliations = {University of Ibadan; University of Defence - Czech Republic}, ResearcherID-Numbers = {ONASANYA, BABATUNDE OLUWASEUN/R-2832-2019 Hoskova-Mayerova, Sarka/L-9860-2019}, ORCID-Numbers = {ONASANYA, BABATUNDE OLUWASEUN/0000-0002-3737-4044 Hoskova-Mayerova, Sarka/0000-0002-3305-529X}, Funding-Acknowledgement = {Ministry of Defence of the Czech Republic {[}DZRO K-217]}, Funding-Text = {The work presented in this paper was supported within the project for ``Development of basic and applied research developed in the long term by the departments of theoretical and applied bases of FMT (Project code: DZRO K-217) supported by the Ministry of Defence of the Czech Republic.}, Cited-References = {Al Tahan M, 2018, J INTELL FUZZY SYST, V34, P1907, DOI 10.3233/JIFS-171265. 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ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X. Zimmermann H.J., 2001, FUZZY SET THEORY AND.}, Number-of-Cited-References = {30}, Times-Cited = {29}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {6}, Journal-ISO = {Analele Stiint. Univ. Ovidius C.}, Doc-Delivery-Number = {HE3MB}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000453259100014}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000822961000003, Author = {Deng, Xue and Chen, Jiaxing and Wang, Xu and Geng, Fengting}, Title = {Non-dominated sorting genetic algorithm-II for possibilistic mean-semiabsolute deviation-Yager entropy portfolio model with complex real-world constraints}, Journal = {MATHEMATICS AND COMPUTERS IN SIMULATION}, Year = {2022}, Volume = {202}, Pages = {59-78}, Month = {DEC}, Abstract = {The purpose of our paper is to address the multi-objective portfolio model with complex real-world constraints under the assumption that the returns of risky assets are fuzzy variables. Firstly, a new possibilistic mean-semiabsolute deviationYager entropy portfolio model is proposed with transaction costs, cardinality and quantity constraints Secondly, to solve the proposed model efficiently, a non-dominated sorting genetic algorithm-II (NSGA-II) is presented, which can not only reduce the computational complexity but also enhance the solution accuracy. Then, a numerical example is provided to verify the feasibility and effectiveness of our proposed model and algorithm. Based on these results, we analyze the efficient frontiers with different quantity constraints and transaction costs, and illustrate the portfolio distributions with different transaction costs by using the boxplot figures. Finally, these solutions solved by NSGA-II and four traditional computation methods are compared. Our proposed algorithm outperforms the minimax method (Polakabb, 2010), two-stage method (Masson, 2016), extended two-stage method (Li, 2012) and compromise approach-based genetic algorithm (Li, 2013) in the efficient frontier, accuracy and number of solutions. (c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Chen, JX (Corresponding Author), South China Univ Technol, Sch Math, Guangzhou 510610, Peoples R China. Deng, Xue; Chen, Jiaxing; Wang, Xu; Geng, Fengting, South China Univ Technol, Sch Math, Guangzhou, Peoples R China. Chen, Jiaxing, South China Univ Technol, Sch Math, Guangzhou 510610, Peoples R China.}, DOI = {10.1016/j.matcom.2022.05.021}, EarlyAccessDate = {JUN 2022}, ISSN = {0378-4754}, EISSN = {1872-7166}, Keywords = {Portfolio; Entropy; Multi-objective programming; Non-dominated sorting genetic algorithm-II; Cardinality constraint}, Keywords-Plus = {SELECTION MODEL; DOWNSIDE RISK; OPTIMIZATION; VARIANCE}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {201920127824@mail.scut.edu.cn xu.wang@my.cityu.edu.hk}, Affiliations = {South China University of Technology; South China University of Technology}, ORCID-Numbers = {WANG, Xu/0000-0002-7127-0839}, Funding-Acknowledgement = {National Social Science Foundation Projects of China {[}21BTJ069]}, Funding-Text = {Acknowledgments This research was supported by the National Social Science Foundation Projects of China, No. 21BTJ069. 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Yue W, 2017, PHYSICA A, V465, P124, DOI 10.1016/j.physa.2016.08.009. Zhang QF, 2007, IEEE T EVOLUT COMPUT, V11, P712, DOI 10.1109/TEVC.2007.892759. Zhang WG, 2014, FUZZY SET SYST, V246, P107, DOI 10.1016/j.fss.2013.09.002. Zitzler E, 1999, IEEE T EVOLUT COMPUT, V3, P257, DOI 10.1109/4235.797969. Zitzler E., 2001, Evolutionary Methods for Design, Optimisation and Control with Application to Industrial Problems (EUROGEN 2001), P95, DOI DOI 10.3929/ETHZ-A-004284029.}, Number-of-Cited-References = {43}, Times-Cited = {5}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {30}, Journal-ISO = {Math. Comput. Simul.}, Doc-Delivery-Number = {2U1ZO}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000822961000003}, DA = {2026-04-14}, } @article{ WOS:000304153500006, Author = {Ben-Naim, Jonathan and Prade, Henri}, Title = {Evaluating trustworthiness from past performances: interval-based approaches}, Journal = {ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE}, Year = {2012}, Volume = {64}, Number = {2-3, SI}, Pages = {247-268}, Month = {MAR}, Abstract = {In many multi-agent systems, especially in the field of e-commerce, the users have to decide whether they sufficiently trust an agent to achieve a certain goal. To help users to make such decisions, an increasing number of trust systems have been developed. By trust system, we mean a system that gathers information about an agent and evaluates its trustworthiness on the basis of this information. The aim of the present paper is to develop, and analyze from an axiomatic point of view, new trust systems based on intervals. More precisely, we assume that a set of grades describing the past performances of an agent is given. Then, the goal is to construct an interval that summarizes these grades. In our opinion, such an interval gives a good account of the trustworthiness of the agent. In addition, this kind of representation format overcomes certain limitations (at a certain cost) of the approaches that represent trustworthiness by a single number. We establish seven axioms that should be satisfied by a summarizing method. Next, we develop two new methods. The first one is based on the idea that certain concentrations of grades are strong enough to pull the bounds of the summarizing interval towards themselves. The second one represents data in the setting of possibility theory, and then computes lower and upper expected values. Finally, we check that our methods satisfy the axioms introduced before, which provide theoretical justifications for them.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Ben-Naim, J (Corresponding Author), Univ Toulouse, CNRS, IRIT, 118 Route Narbonne, F-31062 Toulouse 9, France. Ben-Naim, Jonathan; Prade, Henri, Inst Rech Informat Toulouse IRIT CNRS, Univ, Toulouse, F-31062 Toulouse 9, France. Ben-Naim, Jonathan; Prade, Henri, Univ Toulouse, CNRS, IRIT, F-31062 Toulouse 9, France.}, DOI = {10.1007/s10472-012-9289-7}, ISSN = {1012-2443}, Keywords = {Trust; Distrust; Intervals; Possibility theory}, Keywords-Plus = {TRUST; REPUTATION}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Mathematics, Applied}, Author-Email = {bennaim@irit.fr prade@irit.fr}, Affiliations = {Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite Toulouse III - Paul Sabatier; Institut National Polytechnique de Toulouse; Universite Toulouse 1 Capitole; Universite de Toulouse - Jean Jaures; Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite de Toulouse; Institut National Polytechnique de Toulouse; Universite Toulouse III - Paul Sabatier}, Funding-Acknowledgement = { {[}ANR-06-SETI-006]}, Funding-Text = {The first author is supported by the French ANR-06-SETI-006 project ``ForTrust{''}. 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Intell.}, Doc-Delivery-Number = {943VL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000304153500006}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:001223504600003, Author = {Guerrero, Jose and Antich, Javier and Valero, Oscar}, Title = {On the use of fuzzy preorders and asymmetric distances for multi-robot communication}, Journal = {AIMS MATHEMATICS}, Year = {2024}, Volume = {9}, Number = {5}, Pages = {11511-11536}, Abstract = {One of the main problems to be addressed in a multi-robot system is the selection of the best robot, or group of them, to carry out a specific task. Among the large number of solutions provided to allocate tasks to a group of robots, this work focuses on swarm-like approaches, and more specifically on response-threshold algorithms, where each robot selects the next task to perform by following a Markov process. To the best of our knowledge, the current response-threshold algorithms do not provide any formal method to generate new transition functions between tasks. Thus, this paper provides, for the first time, a mathematical model, as based on the so-called fuzzy preorders, for the allocation of tasks to a collective of robots with communication capabilities. In our previous work, we proved that transitions in the aforementioned process can be modeled as fuzzy preorders, constructed through the aggregation of asymmetric distances, in such a way that each robot makes its decision without taking into account the decisions of its teammates. Now, we extend this model in such a way that each robot will take into account the number of robots previously allocated for each task. To implement this method, a very simple communication mechanism has been considered. Several simulations have been carried out in order to validate our approach. The results confirm that fuzzy preorders are able to model the evolution of the system when this type of communication is considered results show the existence of a set of good values for the maximum communication distance between cases, a better communication mechanism does not imply better results.}, Publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS}, Address = {PO BOX 2604, SPRINGFIELD, MO 65801-2604, UNITED STATES}, Type = {Article}, Language = {English}, Affiliation = {Antich, J (Corresponding Author), Univ Illes Balears, Math \& Comp Sci Dept, Carr Valldemossa Km 7-5, Palma De Mallorca 07122, Spain. Antich, J (Corresponding Author), Hosp Univ Son Espases, Hlth Res Inst Balear Isl IdISBa, Palma De Mallorca 07120, Spain. Guerrero, Jose; Antich, Javier; Valero, Oscar, Univ Illes Balears, Math \& Comp Sci Dept, Carr Valldemossa Km 7-5, Palma De Mallorca 07122, Spain. Guerrero, Jose; Antich, Javier; Valero, Oscar, Hosp Univ Son Espases, Hlth Res Inst Balear Isl IdISBa, Palma De Mallorca 07120, Spain.}, DOI = {10.3934/math.2024565}, EISSN = {2473-6988}, Keywords = {multi-robot communication; fuzzy preorders; asymmetric distances; task allocation; possibility theory; aggregation}, Research-Areas = {Mathematics}, Web-of-Science-Categories = {Mathematics, Applied; Mathematics}, Author-Email = {javier.antich@uib.es}, Affiliations = {Universitat de les Illes Balears; Hospital Universitari Son Espases; Institut Investigacio Sanitaria Illes Balears (IdISBa)}, ResearcherID-Numbers = {Guerrero, José/L-1876-2014 Valero, Oscar/L-1874-2014}, Funding-Acknowledgement = {MCIN/AEI {[}PID2022-139248NB-I00, PGC2018-095709-B-C21]; ERDF A way of making Europe {[}PID2022-139248NB-I00, PGC2018-095709-B-C21]; European Union; {[}871260]}, Funding-Text = {This research was part of projects PID2022-139248NB-I00 and PGC2018-095709-B-C21 funded by MCIN/AEI/10.13039/501100011033 and ``ERDF A way of making Europe{''} and from project BUGWRIGHT2. This last project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement number 871260. This publication reflects only the authors views and the European Union is not liable for any use that may be made of the information contained herein.}, Cited-References = {Agassounon W., 2002, Proceedings of the First International Joint Conference on Autonomous Agents and Multiagent Systems, P1090. Aggarwal M, 2022, CUREUS J MED SCIENCE, V14, DOI 10.7759/cureus.29366. Avrachenkov K. E., 2002, Fuzzy Optimization and Decision Making, V1, P143, DOI 10.1023/A:1015729400380. Bibiloni-Femenias MM, 2021, MATHEMATICS-BASEL, V9, DOI 10.3390/math9020190. Castello E, 2016, SWARM INTELL-US, V10, P1, DOI 10.1007/s11721-015-0117-7. CHANAS S, 1988, FUZZY SET SYST, V25, P43, DOI 10.1016/0165-0114(88)90098-X. Chowdhury S, 2015, ECAL 2015: THE THIRTEENTH EUROPEAN CONFERENCE ON ARTIFICIAL LIFE, P546, DOI 10.7551/978-0-262-33027-5-ch096. 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ZADEH LA, 1971, INFORM SCIENCES, V3, P177, DOI 10.1016/S0020-0255(71)80005-1.}, Number-of-Cited-References = {30}, Times-Cited = {3}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {3}, Journal-ISO = {AIMS Math.}, Doc-Delivery-Number = {QU9Q7}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:001223504600003}, OA = {Green Submitted, gold}, DA = {2026-04-14}, } @article{ WOS:000311133600005, Author = {Kocadagli, Ozan}, Title = {A novel nonlinear programming approach for estimating CAPM beta of an asset using fuzzy regression}, Journal = {EXPERT SYSTEMS WITH APPLICATIONS}, Year = {2013}, Volume = {40}, Number = {3, SI}, Pages = {858-865}, Month = {FEB 15}, Abstract = {The evaluation of risky assets is one of the major research tasks in the finance theory. There are several Capital Asset Pricing Models (CAPM) in the literature; the most popular one of those is the Sharpe-Lintner-Black mean-variance CAPM. According to this model, the typical measure of systematic risk is the beta coefficient. The beta coefficient can be evaluated by means of least squares method (LSM), Robust Regression Techniques (RRT), or similar approaches. However, the statistical assumptions of LSM might be invalid in the existence of extreme observations in data set. In order to decrease influence on the beta coefficient of extreme observations, most analyst apply to RRT's. However, either RRT's remove the extreme observations from the data set, or decrease their influences on the beta coefficient. Whereas the omitted observations might be valuable for investors since they carry substantial information about the state of nature. In other words, there is a clash between statistical and financial theory. In this study, to overcome this incompatibility, and to take into account the extreme observations carried worthy information, a novel fuzzy regression approach is proposed. The proposed approach is based on both possibility concepts and central tendency in the estimation of beta coefficient. In application section of this paper, the beta coefficients of three assets traded in Istanbul Stock Exchange (ISE) are estimated by the proposed fuzzy approach and the traditional techniques, and then the results of analysis are compared, and discussed. (C) 2012 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Kocadagli, O (Corresponding Author), Mimar Sinan FAU, Dept Stat, Istanbul, Turkey. Mimar Sinan FAU, Dept Stat, Istanbul, Turkey.}, DOI = {10.1016/j.eswa.2012.05.041}, ISSN = {0957-4174}, EISSN = {1873-6793}, Keywords = {Fuzzy regression; Fuzzy membership functions; Nonlinear programming; CAPM; Beta coefficient; Robust regression}, Keywords-Plus = {POSSIBILISTIC LINEAR-SYSTEMS; IDENTIFICATION}, Research-Areas = {Computer Science; Engineering; Operations Research \& Management Science}, Web-of-Science-Categories = {Computer Science, Artificial Intelligence; Engineering, Electrical \& Electronic; Operations Research \& Management Science}, Author-Email = {ozankocadagli@msgsu.edu.tr}, ResearcherID-Numbers = {kocadagli, ozan/AAO-2482-2021}, ORCID-Numbers = {kocadagli, ozan/0000-0003-4354-7383}, Cited-References = {CELMINS A, 1987, FUZZY SET SYST, V22, P245, DOI 10.1016/0165-0114(87)90070-4. CELMINS A, 1987, MATH MODELLING, V9, P669, DOI 10.1016/0270-0255(87)90468-4. CIVANLAR MR, 1986, FUZZY SET SYST, V18, P1, DOI 10.1016/0165-0114(86)90024-2. Clarfeld R. 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Wang HF, 2000, FUZZY SET SYST, V112, P355, DOI 10.1016/S0165-0114(97)00375-8.}, Number-of-Cited-References = {32}, Times-Cited = {17}, Usage-Count-Last-180-days = {1}, Usage-Count-Since-2013 = {46}, Journal-ISO = {Expert Syst. Appl.}, Doc-Delivery-Number = {037VC}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000311133600005}, DA = {2026-04-14}, } @article{ WOS:000240917700012, Author = {Li, Jun and Xu, Huping and Gen, Mitsuo}, Title = {A class of multiobjective linear programming model with fuzzy random coefficients}, Journal = {MATHEMATICAL AND COMPUTER MODELLING}, Year = {2006}, Volume = {44}, Number = {11-12}, Pages = {1097-1113}, Month = {DEC}, Abstract = {The aim of this paper is to deal with a multiobjective linear programming problem with fuzzy random coefficients. Some crisp equivalent models are presented and a traditional algorithm based on an interactive fuzzy satisfying method is proposed to obtain the decision maker's satisfying solution. In addition, the technique of fuzzy random simulation is adopted to handle general fuzzy random objective functions and fuzzy random constraints which are usually hard to be converted into their crisp equivalents. Furthermore, combined with the techniques of fuzzy random simulation, a genetic algorithm using the compromise approach is designed for solving a fuzzy random multiobjective programming problem. Finally, illustrative examples are given in order to show the application of the proposed models and algorithms. (c) 2006 Elsevier Ltd. All rights reserved.}, Publisher = {PERGAMON-ELSEVIER SCIENCE LTD}, Address = {THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}, Type = {Article}, Language = {English}, Affiliation = {Xu, HP (Corresponding Author), Sichuan Univ, Sch Business \& Adm, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China. Sichuan Univ, Sch Business \& Adm, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China. Waseda Univ, Grad Sch Informat Prod \& Syst, Kitakyushu, Fukuoka 8080135, Japan.}, DOI = {10.1016/j.mcm.2006.03.013}, ISSN = {0895-7177}, EISSN = {1872-9479}, Keywords = {fuzzy random variable; chance measure; possibility measure; fuzzy random simulation; genetic algorithm; compromise solution}, Keywords-Plus = {OPTIMIZATION; DEFINITIONS}, Research-Areas = {Computer Science; Mathematics}, Web-of-Science-Categories = {Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; Mathematics, Applied}, Author-Email = {xujiuping@openmba.com}, Affiliations = {Sichuan University; Waseda University}, Cited-References = {CHARNES A, 1959, MANAGE SCI, V6, P73, DOI 10.1287/mnsc.6.1.73. Colubi A, 2001, INFORM SCIENCES, V133, P3, DOI 10.1016/S0020-0255(01)00073-1. Fogel D., 1995, EVOLUTION COMPUTATIO. Gao J., 2001, INT J FUZZY SYST, V3, P527. Gen M., 1997, Genetic Algorithms and Engineering Design, DOI 10.1002/9780470172254. Gen M.R. 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Liu YK, 2003, INFORM SCIENCES, V155, P89, DOI 10.1016/S0020-0255(03)00079-3. Liu YK, 2003, FUZZY OPTIM DECIS MA, V2, P143. LopezDiaz M, 1997, STAT PROBABIL LETT, V36, P135, DOI 10.1016/S0167-7152(97)00056-4. Luhandjula MK, 2004, FUZZY SET SYST, V146, P187, DOI 10.1016/j.fss.2004.01.002. Luhandjula MK, 1996, FUZZY SET SYST, V77, P291, DOI 10.1016/0165-0114(95)00043-7. Luhandjula MK, 1996, FUZZY SET SYST, V81, P47, DOI 10.1016/0165-0114(95)00240-5. Michalewicz Z., 1994, GENETIC ALGORITHMS P. PURI ML, 1986, J MATH ANAL APPL, V114, P409, DOI 10.1016/0022-247X(86)90093-4. QIAO Z, 1994, FUZZY SET SYST, V65, P31, DOI 10.1016/0165-0114(94)90245-3. QIAO Z, 1993, FUZZY SET SYST, V58, P155, DOI 10.1016/0165-0114(93)90492-Z. Sakawa M., 1993, FUZZY SETS INTERACTI. Toyonaga T., 2005, FUZZY OPTIM DECIS MA, V4, P51, DOI {[}10.1007/s10700-004-5570-5, DOI 10.1007/S10700-004-5570-5]. Zadeh L. A., 1978, Fuzzy Sets and Systems, V1, P3, DOI 10.1016/0165-0114(78)90029-5.}, Number-of-Cited-References = {32}, Times-Cited = {47}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {8}, Journal-ISO = {Math. Comput. Model.}, Doc-Delivery-Number = {089YL}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000240917700012}, DA = {2026-04-14}, } @article{ WOS:000336828100010, Author = {Gonzalez-Martinez, J. M. and Folch-Fortuny, A. and Llaneras, F. and Tortajada, M. and Pico, J. and Ferrer, A.}, Title = {Metabolic flux understanding of Pichia pastoris grown on heterogenous culture media}, Journal = {CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS}, Year = {2014}, Volume = {134}, Pages = {89-99}, Month = {MAY 15}, Abstract = {Within the emergent field of Systems Biology, mathematical models obtained from physical-chemical laws (the so-called first principles-based models) of microbial systems are employed to discern the principles that govern cellular behaviour and achieve a predictive understanding of cellular functions. The reliance on this biochemical knowledge has the drawback that some of the assumptions (specific kinetics of the reaction system, unknown dynamics and values of the model parameters) may not be valid for all the metabolic possible states of the network. In this uncertainty context, the combined use of fundamental knowledge and data measured in the fermentation that describe the behaviour of the microorganism in the manufacturing process is paramount to overcome this problem. In this paper, a grey modelling approach is presented combining data-driven and first principles information at different scales, developed for Pichia pastoris cultures grown on different carbon sources. This approach will allow us to relate patterns of recombinant protein production to intracellular metabolic states and correlate intra and extracellular reactions in order to understand how the internal state of the cells determines the observed behaviour in P. pastoris cultivations. (C) 2014 Elsevier B.V. All rights reserved.}, Publisher = {ELSEVIER}, Address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {González-Martínez, JM (Corresponding Author), Univ Politecn Valencia, Dept Estadist \& Invest Operat Aplicadas \& Calidad, Camino Vera S-N,Edificio 7A, Valencia 46022, Spain. Gonzalez-Martinez, J. M., Shell Global Solut Int BV, Shell Technol Ctr Amsterdam, NL-1030 BN Amsterdam, Netherlands. Gonzalez-Martinez, J. M.; Folch-Fortuny, A.; Ferrer, A., Univ Politecn Valencia, Dept Estadist \& Invest Operat Aplicadas \& Calidad, Valencia 46022, Spain. Llaneras, F., Univ Girona, Dept Elect Elect \& Automat Engn, Girona 17071, Spain. Tortajada, M., Biopolis SL, Paterna 46980, Spain. Pico, J., Univ Politecn Valencia, Inst Univ Automat \& Informat Ind, Valencia 46022, Spain.}, DOI = {10.1016/j.chemolab.2014.02.003}, ISSN = {0169-7439}, EISSN = {1873-3239}, Keywords = {Metabolic network; Possibilistic consistency analysis; Monte Carlo sampling; Principal Component Analysis; Missing-data methods for Exploratory Data Analysis}, Keywords-Plus = {PRINCIPAL COMPONENT ANALYSIS; CONSTRAINT-BASED MODELS; GENE-EXPRESSION; ESCHERICHIA-COLI; CELL-DENSITY; IDENTIFICATION; DISTRIBUTIONS; INFORMATION; TEMPERATURE; PERFORMANCE}, Research-Areas = {Automation \& Control Systems; Chemistry; Computer Science; Instruments \& Instrumentation; Mathematics}, Web-of-Science-Categories = {Automation \& Control Systems; Chemistry, Analytical; Computer Science, Artificial Intelligence; Instruments \& Instrumentation; Mathematics, Interdisciplinary Applications; Statistics \& Probability}, Author-Email = {jogonmar@gmail.com}, Affiliations = {Royal Dutch Shell; Universitat Politecnica de Valencia; Universitat de Girona; Universitat Politecnica de Valencia}, ResearcherID-Numbers = {Picó, Jesús/A-5347-2011 Llaneras, Francisco/B-8133-2008 Tortajada, Marta/KQC-0488-2024 Ferrer, Alberto/AAA-9418-2020}, ORCID-Numbers = {Picó, Jesús/0000-0003-4144-3521 Llaneras, Francisco/0000-0002-5299-1737 Tortajada, Marta/0000-0002-7078-0036 Folch-Fortuny, Abel/0000-0001-6845-0807 Ferrer, Alberto/0000-0001-7244-5947}, Funding-Acknowledgement = {Spanish Ministry of Science and Innovation; FEDER funds from the European Union {[}DPI2011-28112-C04-01, DPI2011-28112-C04-02]; Biopolis SL}, Funding-Text = {Research in this study was partially supported by the Spanish Ministry of Science and Innovation and FEDER funds from the European Union through grants DPI2011-28112-C04-01 and DPI2011-28112-C04-02. The authors are also grateful to Biopolis SL for supporting this research. We also gratefully acknowledge Associate Professor Jose Camacho for providing the Exploratory Data Analysis Toolbox.}, Cited-References = {Åkesson M, 2004, METAB ENG, V6, P285, DOI 10.1016/j.ymben.2003.12.002. {[}Anonymous], METABOLIC ENG PRINCI. {[}Anonymous], EXPLORATORY DATA ANA. {[}Anonymous], THESIS U POLITZCNICA. {[}Anonymous], THESIS U POLITECNICA. {[}Anonymous], BMC SYST BIOL. {[}Anonymous], THESIS U AUTONOMA BA. Arteaga F, 2002, J CHEMOMETR, V16, P408, DOI 10.1002/cem.750. Barrett CL, 2009, BMC SYST BIOL, V3, DOI 10.1186/1752-0509-3-30. Bechmann H, 2000, ENVIRONMETRICS, V11, P1, DOI 10.1002/(SICI)1099-095X(200001/02)11:1<1::AID-ENV377>3.0.CO;2-N. Becker SA, 2007, NAT PROTOC, V2, P727, DOI 10.1038/nprot.2007.99. Benito M, 2004, BIOINFORMATICS, V20, P105, DOI 10.1093/bioinformatics/btg385. Benyamini T, 2010, GENOME BIOL, V11, DOI 10.1186/gb-2010-11-4-r43. 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Zhang WH, 2004, J IND MICROBIOL BIOT, V31, P330, DOI 10.1007/s10295-004-0155-4.}, Number-of-Cited-References = {64}, Times-Cited = {16}, Usage-Count-Last-180-days = {0}, Usage-Count-Since-2013 = {28}, Journal-ISO = {Chemometrics Intell. Lab. Syst.}, Doc-Delivery-Number = {AI4IE}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED)}, Unique-ID = {WOS:000336828100010}, OA = {Green Submitted}, DA = {2026-04-14}, } @article{ WOS:000698683400008, Author = {Darijani, Moosa and Amiri, Maghsoud and Taghavifard, Mohammad Taghi and Hanafizadeh, Payam}, Title = {EFFICIENCY ASSESSMENT USING COMMON-WEIGHT FDEA UNDER A MULTI-OBJECTIVE APPROACH AS WELL AS POSSIBILITY AND NECESSITY THEORY}, Journal = {ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH}, Year = {2021}, Volume = {55}, Number = {3}, Pages = {119-136}, Abstract = {In the present study, we introduce a novel method for evaluating Decision-Making Units (DMUs) in Fuzzy Data Envelopment Analysis (FDEA). Initially, the problem was modeled using common weights in Data Envelopment Analysis (DEA). Then, the model was developed using the possibility and necessity theory to obtain common weights for each input and output of the DMUs. Next, the performance of DMUs was evaluated. Since the results were fuzzy numbers, first, we adopted a ranking method to convert them into crisp numbers and then, compared them with each other. In the next step, ranking of the DMUs was carried out. Finally, a practical example was solved via the developed method.}, Publisher = {ACAD ECONOMIC STUDIES}, Address = {15-17 CALEA DOROBANTI, SECTOR 1, BUCHAREST, 00000, ROMANIA}, Type = {Article}, Language = {English}, Affiliation = {Amiri, M (Corresponding Author), Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran. Darijani, Moosa; Amiri, Maghsoud; Taghavifard, Mohammad Taghi; Hanafizadeh, Payam, Allameh Tabatabai Univ, Fac Management \& Accounting, Dept Ind Management, Tehran, Iran.}, DOI = {10.24818/18423264/55.3.21.08}, ISSN = {0424-267X}, EISSN = {1842-3264}, Keywords = {Fuzzy Data Envelopment Analysis; Common Weights; Possibility Theory; Necessity Theory; Fuzzy Number Ranking}, Keywords-Plus = {DATA ENVELOPMENT ANALYSIS; RANKING; DEA}, Research-Areas = {Business \& Economics; Mathematics}, Web-of-Science-Categories = {Economics; Mathematics, Interdisciplinary Applications}, Author-Email = {Moosa.darijani@yahoo.com mg\_amiri@yahoo.com dr.taghavifard@gmail.com hanafizadeh@gmail.com}, Affiliations = {Allameh Tabataba'i University}, ResearcherID-Numbers = {Taghavifard, Mohammad Taghi/AAY-5427-2021 Hanafizadeh, Payam/AAB-6850-2020 Amiri, Maghsoud/Z-3160-2019}, ORCID-Numbers = {Amiri, Maghsoud/0000-0002-0650-2584}, Cited-References = {Bandemer Hans., 1995, Fuzzy sets, fuzzy logic, fuzzy methods with applications. 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Stud.}, Doc-Delivery-Number = {UU3ET}, Web-of-Science-Index = {Science Citation Index Expanded (SCI-EXPANDED); Social Science Citation Index (SSCI)}, Unique-ID = {WOS:000698683400008}, OA = {gold}, DA = {2026-04-14}, } @article{ WOS:000943141200001, Author = {Jo, Gumsong and Kim, Hyokil and Kim, Hoyong and Ri, Gyongho}, Title = {Fuzzy Portfolio Selection Using Stochastic Correlation}, Journal = {COMPUTATIONAL ECONOMICS}, Year = {2024}, Volume = {63}, Number = {4}, Pages = {1493-1509}, Month = {APR}, Abstract = {Here we have proposed fuzzy portfolio selection model using stochastic correlation (FPSMSC) to overcome limitations both in fuzzy and stochastic world. The newly proposed model not only gets harmonious efficient frontier, but also considers the future movement of stock prices based on fuzzy expertise knowledge. The investment weights of the model have been optimized based on the monthly return data of 18 stocks listed in S\&P500 from October 2011 to September 2015. The proposed model has provided higher returns in the whole regime of risk for the period from October 2014 to September 2015, whose monthly return data are used as training data than other available portfolio selection models, i.e., fuzzy portfolio selection models with credibility and possibility and statistic model. Also, the present model has shown the better smoothness of the variations of returns with respect to risk aversion parameter, lambda, from the monthly data from October 2015 to September 2016, which is not included to training database. Especially, our model is superior to other models in the regime of 0-0.3 for the risk aversion level. It is demonstrating that the FPSMSC is efficient for the investors who tend to seek the high return in portfolio management.}, Publisher = {SPRINGER}, Address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, Type = {Article}, Language = {English}, Affiliation = {Jo, G (Corresponding Author), Kim Il Sung Univ, Fac Finance, Dept Int Finance, Pyongyang, North Korea. Jo, Gumsong; Kim, Hyokil; Kim, Hoyong; Ri, Gyongho, Kim Il Sung Univ, Fac Finance, Dept Int Finance, Pyongyang, North Korea.}, DOI = {10.1007/s10614-023-10371-w}, EarlyAccessDate = {MAR 2023}, ISSN = {0927-7099}, EISSN = {1572-9974}, Keywords = {Fuzzy portfolio selection; Stochastic correlation; Credibility measure; Possibility measure; Efficient frontier}, Keywords-Plus = {LOWER PARTIAL MOMENT; EXPECTED VALUE; VARIANCE; SKEWNESS; MODEL; RISK}, Research-Areas = {Business \& Economics; Mathematics}, Web-of-Science-Categories = {Economics; Management; Mathematics, Interdisciplinary Applications}, Author-Email = {ks.jo1003@ryongnamsan.edu.kp}, ORCID-Numbers = {Jo, Kuong/0009-0006-6190-3707}, Cited-References = {{[}Anonymous], 1997, The J. Investing, DOI DOI 10.3905/JOI.1997.408419. ARDITTI FD, 1971, J FINANC QUANT ANAL, V6, P909, DOI 10.2307/2329910. 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