BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION

Abstract. In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation $$ x_{n+1}=\frac{Ax_n+x_{n-1}}{B+x_{n-1}}, \ \ \ n=0,1,\cdots,$$ where (xn) is a sequence of positive fuzzy number, A;B are positive fuzzy numbers and the initial conditions x-1, x0 are positive fuzzy numbers.