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允许犹豫度的交流结构合作对策及其区间Myerson值

于晓辉,张志强,于亚南   

  1. 北京物资学院, 北京 101149
  • 出版日期:2021-10-25 发布日期:2021-12-24

于晓辉, 张志强, 于亚南. 允许犹豫度的交流结构合作对策及其区间Myerson值[J]. 系统科学与数学, 2021, 41(10): 2932-2947.

YU Xiaohui , ZHANG Zhiqiang , YU Yanan. Communication Structure Cooperative Game Considering the Hesitation of Player's Participation and Its Fuzzy Myerson Value[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(10): 2932-2947.

Communication Structure Cooperative Game Considering the Hesitation of Player's Participation and Its Fuzzy Myerson Value

YU Xiaohui ,ZHANG Zhiqiang ,YU Yanan   

  1. School of Logistics, Beijing Wuzi University, Beijing 101149
  • Online:2021-10-25 Published:2021-12-24
交流结构合作对策一般是基于局中人 确定``参与''或者``不参与''的假设, 但是现实合作问题局中人 往往在``参与''以及``不参与''之间还存在一定的犹豫度. 利用直觉 模糊集刻画局中人在模糊联盟中的犹豫度, 将局中人的参与度表示为 三个值:最小参与度、最小非参与度以及犹豫度. 为了求解允许犹豫度 的交流结构合作对策, 将直觉模糊关系转化为在一定区间范围的模糊参与关系, 提出在 一定区间范围的分配方法—模糊Myerson 值.模糊Myerson 值是一个包含所有可能收 益分配的区间范围, 并且考虑了局中人努力程度对模糊联盟最终合作结果的影响, 是 一种公平有效的分配方案.
The current communication structure cooperative games are mainly based on the assumption that the players decide to participate or not to participate, but in reality, there is always some hesitation for participants in cooperation. The participation of every player is denoted by three values, i.e., the minimum participation rate, the minimum non-participation rate, and the hesitation rate. In order to solve the cooperative game with intuitionistic fuzzy communication structure, the intuitionistic fuzzy relationship is transformed into a fuzzy relationship with participation degree in a certain range. An interval payoff solution for the proposed game is put forward, i.e., fuzzy Myerson value, which provides an allocation in a certain interval range. Fuzzy Myerson value is an interval range which contains all the possible allocation values, and takes into account the influence of players' effort on the final cooperation result of fuzzy alliance. It is an allocation scheme which satisfies fairness and effectiveness.} \EKeywords{Cooperative game, intuitionistic fuzzy sets, communication structure, myerson value.
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