A Note on Fuzzy Probability of a Fuzzy Event

Abstract

This article modifies evaluating the probability of a fuzzy event based on a classical probability space introduced by Yager (Inform. Sci. 1979;18:113–122). The presented theoretical results will be illustrated with some propositions and remarks. It is shown that a modification in the definition of fuzzy probability of fuzzy events into a concept of such probabilities has some desirable properties from mathematical points of view. Then, the proposed fuzzy probability will be compared to that of the similar proposed methods. The proposed fuzzy probability will be illustrated with some numerical examples.