| 三人模糊联盟合作博弈的最小核心解 |
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| 引用本文： | 卜 红,南江霞.三人模糊联盟合作博弈的最小核心解[J].经济数学,2016(3):94-98. |
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| 作者姓名： | 卜 红 南江霞 |
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| 作者单位： | 桂林电子科技大学 数学与计算科学学院，广西高校数据分析与计算重点实验室，广西 桂林 541004 |
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| 基金项目： | 国家自然科学基金(71561008，71461005)；广西自然科学基金(2012GXNSFAA053013，2014GXNSFAA118010) |
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| 摘 要： | 研究了联盟是模糊的合作博弈.利用多维线性扩展的方法定义了模糊联盟最小核心解,并推导出三人模糊联盟合作博弈最小核心的计算公式.研究结果发现,多维线性扩展的模糊联盟合作博弈最小核心解是对清晰联盟合作博弈最小核心解的扩展.最后给出三人模糊联盟合作博弈的一个具体事例,证明了此方法的有效性和适用性.
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| 关 键 词： | 运筹学 模糊联盟最小核心解 多维线性扩展方法 |
The Least Core for Three Person Ffuzzy Coalition Cooperative Game |
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| BO Hong,NAN Jiang-xia.The Least Core for Three Person Ffuzzy Coalition Cooperative Game[J].Mathematics in Economics,2016(3):94-98. |
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| Authors: | BO Hong NAN Jiang-xia |
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| Institution: | (School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology,Guilin, Guangxi 541004, China) |
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| Abstract: | A fuzzy coalition cooperative game was studied,according to themultinear extension.The least core of three person fuzzy coalition cooperative game was defined and its'computational formulae was obtained.The research result shows that the least core of the three person fuzzy cooperative games with multilinear extension form is an extension of the least core of crisp cooperative games.The validity and applicability of the proposed method were illustrated with a real example. |
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| Keywords: | operation research the least core for fuzzy coalition cooperative game multilinear extension |
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