The periodic nature of the positive solutions of a nonlinear fuzzy max-difference equation

We investigate the periodic nature of the positive solutions of the fuzzy difference equation xn=maxA0xn-k,A1xn-m, where k, m are positive integers, A0, A1, are positive fuzzy numbers and the initial values xi, i = −d, −d + 1, … , −1, d = max{k, m}, are positive fuzzy numbers. In addition, we give conditions so that the solutions of this equation are unbounded.