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author:

Yang, Jie (Yang, Jie.) [1] | Li, Deng-Feng (Li, Deng-Feng.) [2]

Indexed by:

EI Scopus PKU CSCD

Abstract:

For the problem of major solution methods for matrix games with fuzzy payoffs, an effective methodology is developed to solve matrix games with payoffs expressed by trapezoidal fuzzy numbers. In this methodology, the concept of α-matrix games is introduced and players' fuzzy values are always identical. The upper and lower bounds of any α-cut of the fuzzy value and players' optimal strategies are easily obtained through solving the derived four linear programming problems with the upper and lower bounds of α-cuts of the fuzzy payoffs. Particularly, the fuzzy value can be explicitly estimated. Compared with other methods, the effectiveness and feasibility of the proposed method are illurstrated. ©, 2015, Northeast University. All right reserved.

Keyword:

Fuzzy rules Game theory Linear programming Matrix algebra

Community:

  • [ 1 ] [Yang, Jie]School of Economics and Management, Fuzhou University, Fuzhou; 350108, China
  • [ 2 ] [Li, Deng-Feng]School of Economics and Management, Fuzhou University, Fuzhou; 350108, China

Reprint 's Address:

  • 李登峰

    [li, deng-feng]school of economics and management, fuzhou university, fuzhou; 350108, china

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Source :

Control and Decision

ISSN: 1001-0920

CN: 21-1124/TP

Year: 2015

Issue: 7

Volume: 30

Page: 1219-1226

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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