On Fuzzy Measure and Fuzzy Integral on Fuzzy Set

The purpose of this paper is to study fuzzy integral of Fuzzy measure based on fuzzy set. In this paper we formulate some convergence theorems on a fuzzy algebra of fuzzy sets. We provide some structural characteristics of a fuzzy measure, the auto continuity and some other concepts for a fuzzy measure are introduced. We capture some of the case of fuzzy sets, Rieszs theorems and Lebesgue theorems of a sequence of measurable functions.