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.

中文翻译：

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二阶指数型模糊差分方程的动力学行为

摘要 本文研究二阶指数型模糊差分方程 xn + 1 = A + B e − xn C + xn − 1 , n = 0 , 1 , ⋯ 的动力学行为，其中 A , B , C 和初始值 x − 1 , x 0 是正模糊数。应用模糊数除法（g-除法）的推广，我们研究了正模糊解的存在性和模型的全局渐近行为。此外，给出了两个仿真例子来证明理论结果的有效性。