Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (4): 17-21.

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Cooperative games with interval fuzzy communication structure

YANG Jie, LI Dengfeng   

  1. School of Economics and Management, Fuzhou University, Fuzhou 350108, China
  • Online:2015-02-15 Published:2015-02-04

具有交流结构的区间模糊联盟合作对策

杨  洁,李登峰   

  1. 福州大学 经济与管理学院,福州 350108

Abstract: The current study of cooperative games with fuzzy coalition is mainly based on the basic assumptions of any player can join coalition arbitrarily. However, in realistic alliance activities, players are often subject to resource, status and other factors, the cooperative with communication structure. So this paper proposes the profit allocation method for multi-person cooperative games with interval fuzzy communication structure, and gives the fuzzy average tree solution. And the existence of the solution according to axioms system is proved. Finally, the effectiveness of the method is indicated by compared with the interval fuzzy Shapley value for an example of profit allocation in vertical co-innovation supply chain.

Key words: cooperative game, communication structure, interval fuzzy coalition, Choquet integral, average tree solution

摘要: 当前具有模糊联盟的合作对策研究主要基于任意局中人可自由结盟的基本假设,但现实结盟活动中,局中人普遍受到资源或地位等因素的限制,其合作往往具有交流结构限制。因此,基于Choquet模糊延拓研究了具有交流结构的区间模糊多人合作对策,给出了相应区间模糊联盟平均树解,并通过公理化体系对此解进行了研究。通过供应链纵向合作创新收益分配实例应用,并与区间模糊联盟合作对策的Shapley值进行比较,说明该方法的现实有效性。

关键词: 合作对策, 交流结构, 区间模糊联盟, Choquet积分, 平均树解