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

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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hal-01345443 , version 1 (13-07-2016)

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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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