Interactive Decision Making for Multiobjective Bimatrix Games with Fuzzy Payoffs Based on Possibility Measure
Interactive Decision Making for Multiobjective Bimatrix Games with Fuzzy Payoffs Based on Possibility Measure
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DOI：
10.2991/asum.k.210827.044
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发表时间：
2021-08
期刊：
影响因子：
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通讯作者：
H. Yano;I. Nishizaki
中科院分区：
文献类型：
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作者：
H. Yano;I. Nishizaki
本文提出了一种具有模糊收益的多目标双矩阵对策的交互式决策方法。利用可能性度量和参考隶属度，引入了均衡解的概念。为了避免计算困难而获得这样的解，将隶属函数空间中的均衡条件替换为期望收益空间中的均衡条件。在假设游戏者可以估计对手游戏者的参考隶属度数值的前提下，提出了一种交互算法，通过更新参考隶属度值从均衡解集中获得游戏者的满意解。数值算例说明了在假设参与者的作用下的交互过程，从而说明了该方法的有效性fi。
In this paper, we propose an interactive decision making method for multiobjectve bi-matrix games with fuzzy payoffs. Using possibility measure and reference membership values, an equilibrium solution concept is introduced. To circumvent computational difficulties to obtain such a solution, equilibrium conditions in the membership function space are replaced into equilibrium conditions in the expected payoff space. Under the assumption that a player can estimate the opponent player’s reference membership values, the interactive algorithm is proposed to obtain a satisfactory solution of the player from among an equilibrium so-lution set by updating the reference membership values. A numerical example illustrates interactive processes under a hypothetical player to show the efficiency of the proposed method.