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Article Dans Une Revue Fuzzy Sets and Systems Année : 1995

Fuzzy relation equations and causal reasoning

Résumé

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 expensive 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.

Dates et versions

hal-04049239 , version 1 (28-03-2023)

Identifiants

Citer

Didier Dubois, Henri Prade. Fuzzy relation equations and causal reasoning. Fuzzy Sets and Systems, 1995, 75 : Special Issue on Equations and Relations on Ordered Structures : Mathematical Aspects and Applications (part 2), pp.119--134. ⟨10.1016/0165-0114(95)00105-T⟩. ⟨hal-04049239⟩
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