Fuzzy measures and comonotonicity on multisets

Authors:
Yasuo zNarukawa;Klara Stokes;Vicenç Torra
Affiliations:
Toho Gakuen, Naka, Kunitachi, Tokyo, Japan and Tokyo Institute of Technology, Yokohama, Japan;Universitat Rovira i Virgili, Tarragona, Catalonia, Spain;IIIA, Institut d'Investigació en Intelċligència Artificial CSIC, Bellaterra, Catalonia, Spain
Venue:
MDAI'11 Proceedings of the 8th international conference on Modeling decisions for artificial intelligence
Year:
2011

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Abstract

Fuzzy measures on multisets are studied. We show that a class of multisets can be represented as a subset of positive integers. Comonotonicity for multisets are defined. We show that a fuzzy measure on multisets with some comonotonicity condition can be represented by generalized fuzzy integral.