基于经典合作博弈Shapley值的概念及模糊合作博弈理论, 给出了具有模糊联盟的合作博弈个体理性及集体理性定义. 基于Butnariu提出的具有比例值的模糊博弈及Tsurumi提出的具有Choquet积分形式的模糊博弈, 结合 Li 提出的Shapley函数的简化表达式, 研究了模糊联盟的稳定性问题, 证明了一些相关结论.
Abstract
Based on the concept of Shapley value in crisp cooperative game and the theory of fuzzy cooperative game, the individual stability and group stability for fuzzy coalition are defined. Based on the fuzzy game with proportional values defined by Butnariu and the fuzzy game with Choquet integral forms established by Tsurumi, according to the simplified expression of the Shapley function defined by Shujin Li, the stability of fuzzy coalition is studied, some conclusions are drawn.
关键词
模糊博弈 /
模糊联盟 /
Shapley值 /
个体稳定 /
群体稳定
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Key words
fuzzy game /
fuzzy coalition /
Shapley value /
individual stability /
group stability
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中图分类号：
O225
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参考文献
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脚注
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基金
国家自然科学基金 (70871011, 70771010)
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