Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (14): 13-17.

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Intervalvalued fuzzy Shapley value of cooperative games based on dynamic fuzzy alliance

LIU Tian-hu1,XU Wei-sheng2,WU Qi-di2   

  1. 1.School of Economics & Management,Tongji University,Shanghai 200092,China
    2.School of Electronics and Information Engineering,Tongji University,Shanghai 200092,China
  • Received:2007-12-10 Revised:2008-03-11 Online:2008-05-11 Published:2008-05-11
  • Contact: LIU Tian-hu



  1. 1.同济大学 经济与管理学院,上海 200092
    2.同济大学 电子与信息工程学院,上海 200092
  • 通讯作者: 刘天虎

Abstract: This study develop the interval valued fuzzy Shapley values with the fuzzy characteristic of trigonometric payoff functions for n-person cooperative games and three axioms of classical Shapley value are extended on the basis of relevant theory of fuzzy mathematics Considered that the concrete benefit distribution could be realized at the end of cooperation,we propose a payoff programme based on membership function of interval valued fuzzy Shapley values Eventually,a practical example is provided to illustrate the validity and feasibility of this method.

Key words: fuzzy alliance, cooperative games, interval valued fuzzy Shapley value

摘要: 利用模糊数学相关理论,针对n人合作博弈中支付函数是模糊三角函数的情形,对经典Shapley值提出的三条公理进行了拓展,并构造了区间模糊Shapley值。考虑到盟友在合作结束后需要对具体的联盟收益进行分配,利用构造的区间模糊Shapley值隶属函数给出了确定的收益分配方案。最后利用实例对该方法的有效性和可行性进行了说明。

关键词: 模糊联盟, 合作博弈, 区间模糊Shapley值