Cores and bargaining sets of cooperative games based on TU dynamic fuzzy alliance

doi:10.3778/j.issn.1002-8331.2009.03.004

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (3): 16-19.DOI: 10.3778/j.issn.1002-8331.2009.03.004

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Cores and bargaining sets of cooperative games based on TU dynamic fuzzy alliance

LIU Tian-hu¹,XU Wei-sheng²,WU Qi-di²

1.School of Economics & Management，Tongji University，Shanghai 200092，China
2.School of Electronics and Information Engineering，Tongji University，Shanghai 200092，China

Received:2008-09-25 Revised:2008-11-08 Online:2009-01-21 Published:2009-01-21
Contact: LIU Tian-hu

基于TU动态模糊联盟合作博弈的核心及谈判集

刘天虎¹,许维胜²,吴启迪²

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

Abstract: This paper researches the cooperative games based on TU dynamic fuzzy alliance with relevant theory of fuzzy mathematics.It analyzes the cores of TU fuzzy cooperative games，researches the theory of bargaining sets based on relevant characteristics，and the relationship between the bargaining sets and the cores.The L-Z bargaining sets can realize the ideal convergence sets of TU cooperative games in case of the core of grand alliance is empty.Eventually，a practical example is provided to illustrate the validity and feasibility of this bargaining set.

Key words: fuzzy alliance, cooperative games, core, bargaining sets

摘要： 利用模糊数学相关理论，对具有可转移效用的模糊合作博弈进行了研究，分析了TU模糊合作博弈的核心，并在此基础上对谈判集理论进行了研究，分析了谈判集与核心之间的关系。对于全联盟可能存在核心空集的情况，L-Z谈判集很好地解决了TU联盟合作博弈的收敛集问题。最后利用实例对该谈判集的有效性和可行性进行了说明。

关键词: 模糊联盟, 合作博弈, 核心, 谈判集

LIU Tian-hu¹,XU Wei-sheng²,WU Qi-di². Cores and bargaining sets of cooperative games based on TU dynamic fuzzy alliance[J]. Computer Engineering and Applications, 2009, 45(3): 16-19.

刘天虎¹,许维胜²,吴启迪². 基于TU动态模糊联盟合作博弈的核心及谈判集[J]. 计算机工程与应用, 2009, 45(3): 16-19.

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Cores and bargaining sets of cooperative games based on TU dynamic fuzzy alliance

基于TU动态模糊联盟合作博弈的核心及谈判集

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