On Riesz’s Theorem on Intuitionistic Fuzzy Measure

Abstract

In this paper, the concepts of the property(S), property(PS) and the converse autocontinuity from below of an intuitionistic fuzzy measure on an intuitionistic fuzzy σ-algebra of an intuitionistic fuzzy sets will be introduced, and we proved Riesz’s Theorem and three forms of Riesz’sTheorem for a sequence of measurable functions on an intuitionistic fuzzy σ-algebra.