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重复模糊合作对策的弱核心与弱稳定集

The weak core and the weak stable set for repeated fuzzy cooperative games
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摘要 把重复对策的模型引入到模糊对策中,在此基础上先将模糊优超的概念推广,提出模糊弱优超的概念,然后进一步提出了重复模糊合作对策的弱核心和弱稳定集的概念.最后研究了有关重复模糊对策的弱核心与弱稳定集的一些性质. The model of repeated cooperative game was introduced to the fuzzy game. Based on this, the concept of weak domination was extended firstly. And then the concept of weak fuzzy domination and the weak core and the weak stable set for repeated fuzzy cooperative games were proposed. At last, the properties of the weak core and the weak stable set for repeated cooperative games were studied.
机构地区 燕山大学理学院
出处 《山东理工大学学报(自然科学版)》 CAS 2008年第4期53-56,共4页 Journal of Shandong University of Technology:Natural Science Edition
基金 河北省自然科学基金资助项目(A2005000301)
关键词 模糊对策 重复合作对策 核心 稳定集 弱核心 弱稳定集 fuzzy games repeated cooperative games core stable set weak core weak stable set
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参考文献6

  • 1Jorge, Oviedo. The core of a repeated n - person cooperative game[J]. european Journal of Operational Research, 2000,127: 519-524.
  • 2Aubin J P. Cooperative fuzzy games[J]. Mathematics of Operations Research, 1981, (6): 1-13.
  • 3Tijs S, Branzei R. On cores and stable sets for fuzzy games[J]. Fuzzy sets and systems,2004,146:285-296.
  • 4Rodica, Branzei. Convex fuzzy games and participation monotonic allocation[J]. Fuzzy set and systems, 2003,139: 267-281.
  • 5高作峰,徐东方,鄂成国,王彩虹.重复模糊合作对策的核心和稳定集[J].运筹与管理,2006,15(4):68-72. 被引量:13
  • 6高红伟.结盟对策中弱稳定集的引入与探讨[J].青岛大学学报(自然科学版),1998,11(4):1-5. 被引量:3

二级参考文献6

  • 1Aubin J P.Cooperative fuzzy games[J].Mathematics of Operations Research,1981,(6):1-13.
  • 2Kalai E.Bounded rationality and strategic complexity in repeated games[A].In:Ichiishi,Neyman,Tauman(Eds.),Game Theory and Application[C].Sandiego CA:Academic Press,1990,131-157.
  • 3Jorge Oviedo.The core of a repeated n-person cooperative game[J].european Journal of Operational Research,2000,(127):519-524.
  • 4Tijs S,Branzei R.On cores and stable sets for fuzzy games[J].Fuzzy sets and Systems,2004,146:285-296.
  • 5Rodica Branzei et.al..Convex fuzzy games and participation monotonic allocation[J].Fuzzy sets and systems,2003,(139):267-281.
  • 6高作峰,王艳,张向东.凸合成模糊对策的模糊稳定集[J].运筹与管理,2004,13(1):59-62. 被引量:11

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