The paper is concerned with the dynamics behavior of positive solutions for the following max-type fuzzy difference equation system: where is a sequence of positive fuzzy numbers, and the parameter and the initial conditions are also positive fuzzy numbers. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters. Then, the expression for the periodic solution of the max-type ordinary difference equations is obtained by the iteration, the inequality technique, and the mathematical induction. Moreover, we can obtain the expression for the periodic solution of the max-type fuzzy difference equation. In addition, the boundedness and persistence of solutions for the fuzzy difference equation is proved. Finally, the results of this paper are simulated and verified by using MATLAB 2016 software package.

中文翻译：

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最大型模糊差分方程的周期解

本文关注以下最大型模糊差分方程组的正解的动力学行为： 其中是一个正模糊数序列，以及参数和初始条件也是正模糊数。首先，利用模糊集理论将模糊差分方程转化为相应的带参数的常微分方程。然后，通过迭代，不等式技术和数学归纳法获得max型常微分方程周期解的表达式。此外，我们可以获得最大型模糊差分方程周期解的表达式。另外，证明了模糊差分方程解的有界性和持久性。最后，使用MATLAB 2016软件包对本文的结果进行了仿真和验证。