This paper introduces a class of differential fuzzy variational inequalities, the model provides an efficient approach for solving many dynamic multi-objective optimization problems in fuzzy environments. An existence theorem of the Carathéodory weak solution for the model is established under some suitable assumptions. An algorithm, supported by the convergence analysis, is developed to find the solution. In addition, some examples are given to illustrate the application and the algorithm.

中文翻译：

---

模糊环境中的动态变分不等式

本文介绍了一类微分模糊变分不等式，该模型为解决模糊环境中的许多动态多目标优化问题提供了一种有效的方法。在适当的假设下，建立了该模型的Carathéodory弱解的存在性定理。开发了一种由收敛分析支持的算法来找到解决方案。此外，给出了一些示例来说明应用程序和算法。