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 \u00a0uniform \u00a0distribution \u00a0and \u00a0linear \u00a0membership \u00a0functions. \u00a0This \u00a0fuzzy \u00a0expected \u00a0value \u00a0can \u00a0be \u00a0used instead of Z-number in applications. An Example is used to illustrate the procedure of the proposed approach.