Abstract

The problem is formulated of analyzing the possibility of parametrizing the multicriteria maximin value using a linear scalarization. A representation based on the inverse Germeier’s logical scalarizing function is used. It is shown that the standard application of the weighted sum of partial criteria for this formulation of the problem requires some modification. Differences are revealed between the multicriteria maximin and minimax problems from the viewpoint of linear scalarization applicability.

中文翻译：

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在多准则极大值问题中应用线性标量

摘要

该问题是通过分析使用线性标量化对多标准最大值进行参数化的可能性而制定的。使用基于逆 Germeier 的逻辑标量函数的表示。结果表明，对于这个问题的表述，部分标准的加权和的标准应用需要一些修改。从线性标量化适用性的角度，揭示了多准则 maximin 和 minimax 问题之间的差异。