The role of fuzzy sets in decision sciences: Old techniques and new directions

Authors:
Didier Dubois
Affiliations:
IRIT, CNRS and Université de Toulouse, 118 Route de Narbonne, F-31062 Toulouse Cedex 9, France
Venue:
Fuzzy Sets and Systems
Year:
2011

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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 the valued preference relations they induce. 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 question what is often considered debatable by decision scientists observing the fuzzy decision analysis literature.