On dynamic behavior of second-order exponential-type fuzzy difference equation

Abstract This paper is concerned with dynamical behaviors of a second-order exponential-type fuzzy difference equation x n + 1 = A + B e − x n C + x n − 1 , n = 0 , 1 , ⋯ , where A , B , C and the initial values x − 1 , x 0 are positive fuzzy numbers. Applying generalization of division (g-division) of fuzzy numbers, we study the existence of positive fuzzy solution and the global asymptotic behavior of the model. Moreover, two simulation examples are given to show the validity of the theoretical results.