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A Review of Fuzzy Sets in Decision Sciences: Achievements, Limitations and Perspectives

Didier Dubois 1, 2 Patrice Perny 3
1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
IRIT - Institut de recherche en informatique de Toulouse
3 DECISION
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : We try to provide a tentative assessment of the role of fuzzy sets in decision analysis. We discuss membership functions, aggregation operations, linguistic variables, fuzzy intervals and valued preference relations. The importance of the notion of bipolarity and the potential of qualitative evaluation methods are also pointed out. We take a critical standpoint on the state of the art, in order to highlight the actual achievements and try to better assess what is often considered debatable by decision scientists observing the fuzzy decision analysis literature.
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https://hal.sorbonne-universite.fr/hal-01345443
Contributor : Patrice Perny Connect in order to contact the contributor
Submitted on : Wednesday, July 13, 2016 - 5:13:58 PM
Last modification on : Tuesday, November 16, 2021 - 5:18:00 AM

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Didier Dubois, Patrice Perny. A Review of Fuzzy Sets in Decision Sciences: Achievements, Limitations and Perspectives. Springer New York. Multiple Criteria Decision Analysis, pp.637--691, 2016, ⟨10.1007/978-1-4939-3094-4_16⟩. ⟨hal-01345443⟩

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