Abstract
In this paper, we first introduce two kinds of aggregation tools: fuzzy Choquet integrals, 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. Then using the nonadditive crisp/fuzzy set function to describe the interaction among attributes, two kinds of new fuzzy nonlinear multiregression are established based on fuzzy Choquet integrals, it can catch the interaction among the predictive attributes toward the objective attribute, Such models are generalizations of the traditional fuzzy linear multiregression.
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