Converting Z-number to Fuzzy Number using Fuzzy Expected Value

Abstract

In order to deal with uncertain information of real-world, in 2011 Zadeh suggested the concept of a Z-number, as an ordered pair of fuzzy numbers (A \u0303,B \u0303) that describes the restriction and the reliability of the evaluation. Due to the limitation of its basic properties, converting Z-number to classical fuzzy number is rather significant for application. In this paper, we will calculate fuzzy expected value of a Z-number with assuming uniform distribution and linear membership functions. This fuzzy expected value can be used instead of Z-number in applications. An Example is used to illustrate the procedure of the proposed approach.