Behavior of Solutions to the Fuzzy Difference Equation zn+1 = A + B/zn-m

In this paper, we investigate the existence, the boundedness, the asymptotic behavior, and the oscillatory behavior of the positive solutions of the fuzzy difference equation z(n+1) = A + B/z(n-m) ,where n is an element of N-0 = N boolean OR {0}, (z(n)) is a sequence of positive fuzzy numbers, A, B, and the initial conditions z(-j), j = 1, 2, ... , m, are positive fuzzy numbers, and m is a positive integer.