Choquet integral on the real line as a generalization of the OWA operator

Authors:
Yasuo Narukawa
Affiliations:
Toho Gakuen, Kunitachi, Tokyo, Japan,Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan
Venue:
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
Year:
2012

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Abstract

The Choquet integral is one of the operators that can be used for aggregation and synthesis of information. It integrates a function with respect to a fuzzy measure. In this paper we study the Choquet integral with respect to a symmetric fuzzy measure, which is a generalization of the OWA operator. We present some results about the approximation of Choquet integral for the calculation. We also present the inequalities for Choquet integral with respect to a symmetric fuzzy measure.