l-r模糊收益矩阵对策的均衡策略表征

Q4 Decision Sciences

Journal of the Operations Research Society of Japan Pub Date : 2021-07-31 DOI:10.15807/jorsj.64.158

Masamichi Kon

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引用次数: 0

摘要

本文考虑模糊矩阵对策，即具有模糊收益的二人零和对策。针对这类对策，我们定义了三种基于模糊最大阶的极大极小均衡策略的概念，并研究了它们的性质。然后，这些极大极小均衡策略被表征为具有清晰收益的参数双矩阵对策的纳什均衡策略，其中“清晰”意味着“非模糊”。最后，通过数值算例说明了所得结果的实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON CHARACTERIZATION OF EQUILIBRIUM STRATEGY FOR MATRIX GAMES WITH L-R FUZZY PAYOFFS

In this paper, we consider fuzzy matrix games, namely, two-person zero-sum games with fuzzy payoffs. For such games, we define three kinds of concepts of minimax equilibrium strategies based on fuzzy max order, and their properties are investigated. Then, these minimax equilibrium strategies are characterized as Nash equilibrium strategies of a family of parametric bi-matrix games with crisp payoffs, where ‘crisp’ means ‘non-fuzzy’. Moreover, numerical examples are presented to illustrate utility of the obtained results.

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来源期刊

Journal of the Operations Research Society of Japan 管理科学-运筹学与管理科学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The journal publishes original work and quality reviews in the field of operations research and management science to OR practitioners and researchers in two substantive categories: operations research methods; applications and practices of operations research in industry, public sector, and all areas of science and engineering.