Multi-objective Fuzzy Bi-matrix Game Model: A Multicriteria Non-Linear Programming Approach

A multi-objective bi-matrix game model based on fuzzy goals is established in this paper. It is shown that the equilibrium solution of such a game model problem can be translated into the optimal solution of a multi-objective, non-linear programming problem. Finally, the results of this paper are de...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 9; no. 8; p. 159
Main Authors: Zhang, Wei, Xing, Yumei, Qiu, Dong
Format: Journal Article
Language:English
Published: Basel MDPI AG 2017
Subjects:
Game theory
Linear programming
Mathematical analysis
Mathematical models
Mathematical programming
Matrix methods
Multiple objective analysis
Nonlinear programming
ISSN:2073-8994, 2073-8994
Online Access:Get full text
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Summary:A multi-objective bi-matrix game model based on fuzzy goals is established in this paper. It is shown that the equilibrium solution of such a game model problem can be translated into the optimal solution of a multi-objective, non-linear programming problem. Finally, the results of this paper are demonstrated through a numerical example.
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym9080159