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基于结构元理论的模糊合作博弈Owen联盟值 被引量:3

The Owen Coalition Value of the Fuzzy Cooperative Games Based on Structured Element
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摘要 研究具有模糊参与度和模糊收益的模糊合作博弈各局中人的Owen联盟值问题。首先,重新定义了模糊Owen联盟值的具体形式,并证明其满足新定义的5条公理。利用模糊结构元理论和限定运算理论去计算求解,最后用一个实例验证了模糊Owen联盟值方法,并对结果进行分析。 This paper mainly deals with the problem of the Owen coalition value in fuzzy cooperative games which the level of participation and the payoffs are fuzzy. Firstly, it redefines the expression of the fuzzy Owen value. Then to calculate it by using the theory of Fuzzy structured element and Limited operation, the fuzzy Owen value satisfies five axioms which have been defined at the same time. At last, the fuzzy Owen coalition value is testified by a example and the results are effective.
作者 张倩 郭嗣琮
出处 《模糊系统与数学》 CSCD 北大核心 2014年第1期152-157,共6页 Fuzzy Systems and Mathematics
基金 教育部高校博士学科点专项科研基金资助项目(201021211100002)
关键词 模糊合作博弈 模糊Owen联盟值 模糊结构元 Fuzzy Cooperative Games Fuzzy Owen Coalition Value Fuzzy Structured Element
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参考文献5

  • 1Aubin J P. Cooperative fuzzy games[J]. Mathematical Operation Research, 1981,6:1- 13.
  • 2Sakawa M, Nishizaki I. A solution concept based on fuzzy decision in n-person cooperative games[C]//Proceeding of Cybernetics and Systems Research. New Jersey:World Scientific Publishing, 1992.
  • 3Tsurumi M, Tanino T, Inuiguehi M. A Shapley function on a class of cooperative fuzzy games[J]. European Journal of Operational Research,2001,129(3) :596-618.
  • 4Shapley L S. A value for n-person games[J]. Annals of Mathematics Studies,1953,28:307-318.
  • 5Owen G. Value of games with a priori unions[C]//Henn R, Moeschlin O. Mathematical economic and game theory. Berlin :Springer-Verlag, 1977 : 76 - 88.

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