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基于Choquet积分n人对策广义模糊延拓方法 被引量：4

Generalized fuzzy extension of n -persons games based on Choquet integral
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摘要 由于n人对策任意的联盟可由它的特征向量来等价的表示，本文借助Choquet积分，提出了一种将n人对策从{0，1}^n延拓到广义模糊联盟[-1，1]^n上的广义模糊延拓方法，详细讨论了这种广义模糊延拓的一些性质，给出了它的两种具体表现形式，进一步研究它与经典n人对策核心之间的关系． Based on Choquet integral, a generalized fuzzy extension of n-persons game is investigated, which is extended from classical coalition {0, 1}n to generalized fuzzy coalition [-1, 1]^n Some properties of the generalized fuzzy extension are discussed, and two discrete expressions of the generalized fuzzy extension are given. The relationship between the generalized fuzzy extension and the core of n-persons games is investigated.
作者 谭春桥
机构地区 中南大学商学院
出处 《系统工程学报》 CSCD 北大核心 2012年第2期193-200,共8页 Journal of Systems Engineering
基金 国家自然科学基金资助项目(70801064 71071018 71072078) 教育部博士点基金新教师基金资助项目(20110162-120083) 湖南省自然科学基金资助项目(11JJ3088)
关键词 n人对策 模糊延拓 CHOQUET积分 广义模糊联盟 核心 n-persons games fuzzy extension Choquet integral generalized fuzzy coalition core
分类号 O225 [理学—运筹学与控制论]
  • 相关文献

参考文献17

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  • 8谭春桥,陈晓红.基于Choquet积分的n人对策模糊延拓方法研究[J].系统工程学报,2009,24(4):479-483. 被引量：5
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二级参考文献12

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共引文献4

同被引文献25

  • 1谭春桥,张强.基于伪布尔函数的n人对策模糊延拓方法[J].系统工程理论与实践,2009,29(3):112-119. 被引量：2
  • 2谭春桥.基于Choquet延拓具有区间模糊联盟n人对策的Shapley值[J].系统工程学报,2010,25(4):451-458. 被引量：15
  • 3AUBIN J P. Mathematical Methods of Game and Economic Theory [ M ]. North - Holland : Amsterdam, 1980 : 131 - 150.
  • 4BUTNARIU D, KLEMENT EP. Core value and equilibria for mar- ket games: on a problem of Aumann and Shapley[ J~. International Journal of Game Theory, 1996 : 149 - 160.
  • 5NISHIZAKI I, SAKAWA M. Fuzzy cooperative games arising from linear production programming problems with fuzzy parameters [ J ]. Fuzzy Set and Systems,2000, (114) : 11 - 21.
  • 6BRANZEI R, DIMITROV D, TLIS S. Convex fuzzy and participation monotonic allocation schemes [ J ]. Fuzzy Set and Systems, 2003 (139) :267 -281.
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  • 10Driessen T. Cooperation Games, Solutions and Applications. Netherlands: Kluwer Academic Publisher, 1988.

引证文献4

二级引证文献16

系统工程学报
2012年 第2期

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