2008•Unpublished venueRequires access

Nonlinear fuzzy multiregressions based on fuzzy Choquet integrals

Ai-bing Ji, Hongjie Qiu, Ming-Hu Ha

Abstract

In this paper, two kinds of fuzzy Choquet integral are first defined: one is the fuzzy Choquet integral of fuzzy-valued functions with respect to fuzzy measure, the another is the fuzzy Choquet integral of real-valued functions with respect to fuzzy-valued fuzzy measure. Using a nonadditive crisp/fuzzy set function to describe the interaction among attributes, two kinds of new nonlinear fuzzy multiregression are established based on fuzzy Choquet integrals. Such models are generalizations of the traditional fuzzy linear multiregression.

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Available abstract

Key concepts: Fuzzy measure theory, Choquet integral, Fuzzy logic, Mathematics, Fuzzy number, Fuzzy set operations, Defuzzification, Fuzzy classification