^{}Department of Mathematics, Institute for Advanced Studies in, Basic Sciences (IASBS), Zanjan 45137-66731, Iran

Abstract

In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= \beta x_n(1- x_n),\ \ n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $\beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Hukuhara difference for fuzzy numbers. Finally, some examples are given to illustrate our results.