| 一类重复模糊n人合作对策的Shapley值 |
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| 引用本文： | 张娟,高作峰,程婕妤.一类重复模糊n人合作对策的Shapley值[J].黑龙江大学自然科学学报,2010,27(2). |
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| 作者姓名： | 张娟 高作峰 程婕妤 |
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| 作者单位： | 燕山大学理学院,秦皇岛,066004 |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 摘 要： | 以模糊结盟为工具,建立了重复模糊合作对策理论,把带加权函数的模糊n人合作对策的Shapley值推广到重复模糊n人合作对策中,并提出了模糊支柱序列的定义以及Shapley值在重复模糊合作对策下应满足的三条公理的概念,进而给出重复模糊n人合作对策下的Shapley值的计算公式及证明,最后给出一个例子予以应用。
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| 关 键 词： | 加权函数 模糊联盟 模糊支柱序列 Shapley值 |
The Shapley value of a repeated fuzzy n-person cooperative game |
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| ZHANG Juan,GAO Zuo-feng,CHENG Jie-yu.The Shapley value of a repeated fuzzy n-person cooperative game[J].Journal of Natural Science of Heilongjiang University,2010,27(2). |
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| Authors: | ZHANG Juan GAO Zuo-feng CHENG Jie-yu |
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| Abstract: | The concept of repeated fuzzy cooperative games with fuzzy coalition is introduced, the Shapley value in a fuzzy n-person cooperative games with weighted function is extended into repeated fuzzy n-person cooperative games, a fuzzy carrier sequence and the three axioms which the Shapley value should satisfy in repeated fuzzy coop-erative games are proposed, then the explicit formula and the proof of Shapley value in repeated fuzzy cooperative game are provided, at last an example is given. |
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| Keywords: | weighted function fuzzy coalition fuzzy carrier sequence Shapley value |
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