期刊文献+

一类重复模糊n人合作对策的Shapley值

The Shapley value of a repeated fuzzy n-person cooperative game
在线阅读 下载PDF
导出
摘要 以模糊结盟为工具,建立了重复模糊合作对策理论,把带加权函数的模糊n人合作对策的Shapley值推广到重复模糊n人合作对策中,并提出了模糊支柱序列的定义以及Shapley值在重复模糊合作对策下应满足的三条公理的概念,进而给出重复模糊n人合作对策下的Shapley值的计算公式及证明,最后给出一个例子予以应用。 The concept of repeated fuzzy cooperative games with fuzzy coalition is introduced, the Shapley value in a fuzzy n-person cooperative games with weighted function is extended into repeated fuzzy n-person cooperative games, a fuzzy carrier sequence and the three axioms which the Shapley value should satisfy in repeated fuzzy cooperative games are proposed, then the explicit formula and the proof of Shapley value in repeated fuzzy cooperative game are provided, at last an example is given.
机构地区 燕山大学理学院
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2010年第2期167-170,共4页 Journal of Natural Science of Heilongjiang University
基金 河北省自然科学基金资助项目(A2005000301)
关键词 加权函数 模糊联盟 模糊支柱序列 SHAPLEY值 weighted function fuzzy coalition fuzzy carrier sequence Shapley value
  • 相关文献

参考文献6

  • 1SHAPLEY L S. A value for n-person games[ J]. Annals of Mathematic Studies, 1953, 28:307 -317.
  • 2AUBIN J P. Cooperative fuzzy games[J]. Mathematics of Operative Research, 1981(6) : 1 - 13.
  • 3OVIEDO J. The core of a repeated n-person cooperative game[J]. European Journal of Operational Research, 2000, 127 : 519 - 524.
  • 4TSURUMI M, TANINO T, INUIGUCHI M. Theory and methodology-A Shapley function on a class of Cooperative fuzzy games[J]. European Journal of Operational Research, 2001,129:596 - 618.
  • 5BUTNARIU D, KROUPA T. Shapley mappings and the cumulative value for n-person game with fuzzy coalitions[ J ]. European Journal of Operational Research, 2008,186:288 - 299.
  • 6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

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

共引文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部