On Fuzzy Measure and Fuzzy Integral on Fuzzy Set

D. Rajan, A. Beulah

Abstract: 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.

Keywords: Fuzzy Measure, Fuzzy Set