| 凸模糊合作对策的模糊核仁 |
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| 引用本文： | 樊梦欣,高作峰,韩佼佼,闫莉,邹正兴,马栋.凸模糊合作对策的模糊核仁[J].辽宁工程技术大学学报(自然科学版),2012(2):248-251. |
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| 作者姓名： | 樊梦欣 高作峰 韩佼佼 闫莉 邹正兴 马栋 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 基金项目： | 河北省自然科学基金资助项目(A2005000301);河北省高等学校科学研究计划基金资助项目(Z2010334) |
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| 摘 要： | 为了弥补在简单对策中核心具有常常为空的缺陷,研究模糊合作对策的模糊核仁解.核仁是合作对策的一种重要的解的形式.通过把合作对策核仁解的模型延拓到模糊对策中,并通过定义模糊合作对策的字典序,给出了模糊合作对策的模糊核仁的概念;然后进一步探讨了凸模糊合作对策的模糊核仁非空且唯一等特征和性质,并对此加以证明.研究表明:模糊合作对策的核仁是合作对策核仁的自然延拓.该结果丰富了对模糊合作对策的解的研究,从而解决了凸模糊合作对策的解的结构问题.
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| 关 键 词： | 模糊联盟 模糊合作对策 凸模糊合作对策 强模糊核心 模糊核仁 字典序 超出值 最小核心 |
Fuzzy nucleolus of convex fuzzy cooperative game |
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| FAN Mengxin,GAO Zuofeng,HAN Jiaojiao,YAN Li,ZOU Zhengxin,MA Dong.Fuzzy nucleolus of convex fuzzy cooperative game[J].Journal of Liaoning Technical University (Natural Science Edition),2012(2):248-251. |
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| Authors: | FAN Mengxin GAO Zuofeng HAN Jiaojiao YAN Li ZOU Zhengxin MA Dong |
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| Institution: | (College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The core is usually an empty set in simple games.In order to overcome this defect,this paper is to study the fuzzy nucleolus in fuzzy cooperative game.The nucleolus is an important solution of cooperative game.By extending the nucleolus model of cooperative game into fuzzy game,and defining the lexicographic order of fuzzy game,this paper provides the concept of fuzzy nucleolus in fuzzy cooperative game.Furthermore,the nucleolus properties of convex fuzzy cooperative game,such as its existence and uniqueness,are discussed and proved.The study demonstrates that the fuzzy nucleolus of fuzzy cooperative game is a natural continuation of cooperative game nucleolus.This result not only enriches the solution of fuzzy cooperative game,but also provides a structural solution of convex fuzzy cooperative game. |
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| Keywords: | fuzzy coalition fuzzy cooperative game convex fuzzy game strong-fuzzy core fuzzy nucleolus lexicographic order excess least core |
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