The Shapley function for fuzzy games with fuzzy characteristic functions

被引：1
|
作者：
Meng, Fanyong [1 ]
Zhao, Jinxian [1 ]
Zhang, Qiang [2 ]
机构：
[1] Qingdao Technol Univ, Sch Management, Qingdao 266033, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 25卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cooperative fuzzy game; Shapley function; Hukuhara difference; fuzzy number; CORE; COALITIONS; EQUATIONS; SCHEMES;
D O I：
10.3233/IFS-2012-0611
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we research fuzzy games with fuzzy characteristic functions, where the player participation levels are real numbers in [0, 1], and their payoffs are fuzzy numbers. Based on the Hukuhara difference between fuzzy numbers and the calculating formula of the Shapley function, we discuss a general form of fuzzy games with fuzzy characteristic functions, and study the Shapley function for this kind of fuzzy games. When the given fuzzy game is convex, we research some properties of fuzzy games with fuzzy characteristic functions. Furthermore, we research a special kind of fuzzy games with fuzzy characteristic functions, which is can be seen as an extension of fuzzy games with multilinear extension form. Finally, a numerical example is given.
引用
收藏
页码：23 / 35
页数：13
相关论文
共 50 条
  • [1] Generalized Fuzzy Shapley Function for Fuzzy Games
    Tan, Chunqiao
    Chen, Xiaohong
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [2] The fuzzy core and Shapley function for dynamic fuzzy games on matroids
    Meng, Fanyong
    Zhang, Qiang
    FUZZY OPTIMIZATION AND DECISION MAKING, 2011, 10 (04) : 369 - 404
  • [3] Fuzzy Multichoice Games with Fuzzy Characteristic Functions
    Meng, Fanyong
    Zhang, Qiang
    Chen, Xiaohong
    GROUP DECISION AND NEGOTIATION, 2017, 26 (03) : 565 - 595
  • [4] Fuzzy Multichoice Games with Fuzzy Characteristic Functions
    Fanyong Meng
    Qiang Zhang
    Xiaohong Chen
    Group Decision and Negotiation, 2017, 26 : 565 - 595
  • [5] The fuzzy core and Shapley function for dynamic fuzzy games on matroids
    Fanyong Meng
    Qiang Zhang
    Fuzzy Optimization and Decision Making, 2011, 10 : 369 - 404
  • [6] Cooperative fuzzy games with interval characteristic functions
    Meng, Fanyong
    Chen, Xiaohong
    Tan, Chunqiao
    OPERATIONAL RESEARCH, 2016, 16 (01) : 1 - 24
  • [7] Cooperative games with fuzzy coalitions and fuzzy characteristic functions
    Borkotokey, Surajit
    FUZZY SETS AND SYSTEMS, 2008, 159 (02) : 138 - 151
  • [8] Fuzzy games on augmenting systems with fuzzy characteristic functions
    Meng, Fanyong
    Jiang, Dongmin
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (01) : 119 - 129
  • [9] Cooperative Games with the Intuitionistic Fuzzy Coalitions and Intuitionistic Fuzzy Characteristic Functions
    Nan, Jiang-Xia
    Bo, Hong
    Wei, Cheng-Lin
    GAME THEORY AND APPLICATIONS, 2017, 758 : 337 - 352
  • [10] The Shapley function for fuzzy cooperative games with multilinear extension form
    Meng, Fan-Yong
    Zhang, Qiang
    APPLIED MATHEMATICS LETTERS, 2010, 23 (05) : 644 - 650
12345