| 收益模糊合作对策Shapley值的公理化 |
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| 引用本文： | 韩卫彬,孙浩,王文文.收益模糊合作对策Shapley值的公理化[J].模糊系统与数学,2012,26(2):112-119. |
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| 作者姓名： | 韩卫彬 孙浩 王文文 |
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| 作者单位： | 西北工业大学应用数学系,陕西西安,710072 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究一类收益模糊的合作对策,这类对策联盟的模糊收益值可以用一个闭区间的形式来表示,本文定义了一个拓展的闭区间空间和一些闭区间线性运算算子,证明了这类对策的Shapley值可以用承载性、可替代性和可加性进行了公理化.
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| 关 键 词： | 模糊收益 拓展的闭区间空间 区间Shapley值 承载性 |
The Axiomatizations of Shapley Value on Fuzzy Payoff Cooperative Games |
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| HAN Wei-bin
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SUN Hao
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WANG Wen-wen.The Axiomatizations of Shapley Value on Fuzzy Payoff Cooperative Games[J].Fuzzy Systems and Mathematics,2012,26(2):112-119. |
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| Authors: | HAN Wei-bin SUN Hao WANG Wen-wen |
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| Institution: | (Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710072,China) |
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| Abstract: | In this paper,we study a class of cooperative games in which player’s payoff is fuzzy.The fuzzy payoff is represented by some closed intervals.An extended interval space and some closed interval linear computation operators are introduced.The Shapley value on the cooperative games with fuzzy payoff is characterized by some axiomatizations of carrier property,substitutability and additivity. |
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| Keywords: | Fuzzy Payoff The Extented Interval Space Interval Shapley Value Carrier Property |
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