On Choquet Integrals of Fuzzy-Valued Functions with Respect to Fuzzy-Valued Fuzzy Measures

Recently, Mesiar[6] suggested that, as a generalization linked to the standard fuzzy measure, set-valued[4] or fuzzy-valued fuzzy measures[10] should be given a deep investigation. In the paper, a continuation in the research on choquet integrals valued in fuzzy number sets is further showed. Its integrand is a fuzzy-valued function, and the measure is a fuzzy-valued fuzzy measure. The definition, properties and convergence theorems are obtained.