Eventual periodicity of a system of max-type fuzzy difference equations of higher order

In this paper, we investigate the eventual periodicity of a system of max-type fuzzy difference equations of higher order where the coefficients and the initial values are positive fuzzy numbers. We provide a complete solution. Namely, we give characteristic conditions of the coefficients under which every positive solution of this system is eventually periodic or not. Furthermore, some numerical simulations are given to illustrate our theoretical analysis.