| 基于动态模糊联盟合作博弈的区间模糊Shapley值 |
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| 引用本文： | 刘天虎,许维胜,吴启迪. 基于动态模糊联盟合作博弈的区间模糊Shapley值[J]. 计算机工程与应用, 2008, 44(14): 13-17. DOI: 10.3778/j.issn.1002-8331.2008.14.003 |
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| 作者姓名： | 刘天虎 许维胜 吴启迪 |
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| 作者单位： | 同济大学,经济与管理学院,上海,200092;同济大学,电子与信息工程学院,上海,200092 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 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。
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| 关 键 词： | 模糊联盟 合作博弈 区间模糊Shapley值 |
| 文章编号： | 1002-8331(2008)14-0013-05 |
| 收稿时间： | 2007-12-10 |
| 修稿时间： | 2007-12-10 |
Interval-valued fuzzy Shapley value of cooperative games based on dynamic fuzzy alliance |
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| LIU Tian-hu,XU Wei-sheng,WU Qi-di. Interval-valued fuzzy Shapley value of cooperative games based on dynamic fuzzy alliance[J]. Computer Engineering and Applications, 2008, 44(14): 13-17. DOI: 10.3778/j.issn.1002-8331.2008.14.003 |
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| Authors: | LIU Tian-hu XU Wei-sheng WU Qi-di |
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| Affiliation: | 1.School of Economics & Management，Tongji University，Shanghai 200092，China 2.School of Electronics and Information Engineering，Tongji University，Shanghai 200092，China |
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| 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. |
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| Keywords: | fuzzy alliance cooperative games interval-valued fuzzy Shapley value |
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