The logical encoding of Sugeno integrals

Didier Dubois (1, 2) , Henri Prade (3) , Agnès Rico (4)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 CNRS - Centre National de la Recherche Scientifique
3 IRIT - Institut de recherche en informatique de Toulouse
4 ERIC - Equipe de Recherche en Ingénierie des Connaissances

Sugeno integrals are a well-known family of qualitative multiple criteria aggregation operators. The paper investigates how the behavior of these operators can be described in a prioritized propositional logic language, namely possibilistic logic. The case of binary-valued criteria, which amounts to providing a logical description of the fuzzy measure underlying the integral, is first considered. The general case of a Sugeno integral when criteria are valued on a discrete scale is then studied.

Mots clés: Discrete Sugeno Integrals; Possibilistic Logic; Possibility Theory

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Didier Dubois, Henri Prade, Agnès Rico. The logical encoding of Sugeno integrals. Fuzzy Sets and Systems, 2014, vol. 241, pp. 61-75. ⟨10.1016/j.fss.2013.12.014⟩. ⟨hal-01123494⟩