Intuitionistic fuzzy random variables

Abstract

Intuitionistic fuzzy set is an extension of traditional fuzzy set, which is considered to be more flexible and applicable than traditional fuzzy set as deal with some uncertain and fuzzy problems. In this paper, some properties of intuitionistic fuzzy set are discussed, intuitionistic fuzzy random variables are first introduced, the expected value of intuitionistic fuzzy random variables is defined, and then the law of large numbers of intuitionistic fuzzy random variables are given.