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Chapitre D'ouvrage Année : 2000

Qualitative décision theory with Sugeno Integrals

Résumé

This paper presents an axiomatic framework for qualitative decision under uncertainty in a finite setting. The corresponding utility is expressed by a sup-min expression, called Sugeno (or fuzzy) integral. Technically speaking, Sugeno integral is a median, which is indeed a qualitative counterpart to the averaging operation underlying expected utility. The axiomatic justification of Sugeno integral-based utility is expressed in terms of preference between acts as in Savage decision theory. Pessimistic and optimistic qualitative utilities, based on necessity and possibility measures, previously introduced by two of the authors, can be retrieved in this setting by adding appropriate axioms.

Dates et versions

hal-03394663 , version 1 (22-10-2021)

Identifiants

Citer

Didier Dubois, Henri Prade, Régis Sabbadin. Qualitative décision theory with Sugeno Integrals. Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio. Fuzzy measures and Integrals: Theory and Applications, 40, Physica-Verlag, pp. 314-322, 2000, Studies in Fuzziness and Soft Computing, 978-3-7908-1860-4. ⟨hal-03394663⟩
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