A new Shapley value for fuzzy cooperative games

被引:0
作者
Yu, Xiaohui [1 ]
Qu, Hong [1 ]
Zhang, Qiang [1 ]
机构
[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
来源
PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT | 2007年
关键词
game theory; cooperative game; fuzzy game; shapley value; choquet intergral; lambda-fuzzy measure;
D O I
暂无
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
In this article, we make a study of the Shapley values for cooperative fuzzy games, games with fuzzy coalitions, which admit the representation of rates of players' participation to each coalition. A class of fuzzy games which characteristic function is -fuzzy measure has been introduced and investigated. This kind fuzzy game is not only applicable to supperadditive cooperative games but also to subadditvie and additive games. Axioms of Shapley function are renewed and an explicit form of the Shapley function on this class of fuzzy games with-fuzzy measure is given. Finally, an illustrative example is given.
引用
收藏
页码:349 / 358
页数:10
相关论文
共 10 条
  • [1] [Anonymous], 1980, MATH METHODS GAME EC
  • [2] [Anonymous], 2000, FUZZY MEASURES INTEG
  • [3] AUBIN JP, 1974, CR ACAD SCI A MATH, V279, P891
  • [4] Aubin JP., 1982, Mathematical methods of game and economic theory
  • [5] Aumann R. J., 1974, Values of Non-Atomic Games
  • [6] FOLDES S, 2002, SUBMODULARITY SUPERM
  • [7] Equivalent representations of set functions
    Grabisch, M
    Marichal, JL
    Roubens, M
    [J]. MATHEMATICS OF OPERATIONS RESEARCH, 2000, 25 (02) : 157 - 178
  • [8] Shapley L. S., 1953, Contributions to the Theory of Games II, VII, P307, DOI DOI 10.1515/9781400881970-018
  • [9] SPURMONT Y, 1990, GAME ECON BEHAV, V2, P378
  • [10] A Shapley function on a class of cooperative fuzzy games
    Tsurumi, M
    Tanino, T
    Inuiguchi, M
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 129 (03) : 596 - 618