Skip to Main content Skip to Navigation
Journal articles

The legacy of 50 years of fuzzy sets: A discussion

Didier Dubois 1 Henri Prade 1
1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
IRIT - Institut de recherche en informatique de Toulouse
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.
Complete list of metadatas

Cited literature [89 references]  Display  Hide  Download
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Monday, February 29, 2016 - 8:43:06 AM
Last modification on : Friday, June 12, 2020 - 3:52:33 AM
Long-term archiving on: : Monday, May 30, 2016 - 3:15:51 PM


Files produced by the author(s)



Didier Dubois, Henri Prade. The legacy of 50 years of fuzzy sets: A discussion. Fuzzy Sets and Systems, Elsevier, 2015, 281, pp.21-31. ⟨10.1016/j.fss.2015.09.004⟩. ⟨hal-01280080⟩



Record views


Files downloads