Abstract This paper proposes a fuzzy optimization problem whose objective function is Zadeh's extension of a function with respect to a parameter and the independent variable. Making use of a partial order relation, the extension of a function mapping each parameter to the corresponding local minimizing point is proven to provide the local smallest fuzzy value for the extended function. Deploying the usual order relation in the literature, the same point is proven to provide the minimal value for the function. Examples illustrate the results.

中文翻译：

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使用 Zadeh 扩展原理优化模糊值函数

摘要 本文提出了一个模糊优化问题，其目标函数是Zadeh关于一个参数和自变量的函数的扩展。利用偏序关系，证明将每个参数映射到相应局部极小点的函数的扩展为扩展函数提供了局部最小模糊值。部署文献中通常的顺序关系，证明同一点为函数提供了最小值。例子说明了结果。