In this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for fuzzy mapping known as extended perturbed fuzzy mixed variational-like inequalities (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs” are also attained. We have also studied the auxiliary principle technique of auxiliary “EPFMVLI” for “EPFMVLI.” By using this technique and some new analytic results, some existence results and efficient numerical techniques of “EPFMVLI” are established. Some advanced and innovative iterative algorithms are also obtained, and the convergence criterion of iterative sequences generated by algorithms is also proven. In the end, some new and previously known existence results and algorithms are also studied. Results secured in this paper can be regarded as purification and development of previously familiar results.

中文翻译：

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模糊映射的扩展摄动混合变分不等式

在本文中，我们的目的是考虑一类用于模糊映射的模糊混合类似不等式（FMVLIs），称为扩展扰动模糊混合类似不等式（EPFMVLIs）。作为例外情况，还可以获得一些新的和经典定义的“ FMVLI”。我们还研究了“ EPFMVLI”的辅助“ EPFMVLI”的辅助原理技术。通过使用该技术和一些新的分析结果，建立了“ EPFMVLI”的一些存在性结果和有效的数值技术。还获得了一些先进的创新迭代算法，并证明了算法产生的迭代序列的收敛准则。最后，还研究了一些新的和已知的存在结果和算法。