A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems

Author:

Lin Ching-San1,Chen Chen-Tung2,Chen Farn-Shing3,Hung Wei-Zhan4

Affiliation:

1. Department of Industrial Education and Technology, National Changhua University of Education, 2 Shi-Da Road, Changhua County, Changhua City 500, Taiwan

2. Department of Information Management, National United University, 1 Lienda Road, Miaoli County, Miaoli City 36003, Taiwan

3. Institute of Mechatronoptic Systems and Department of Automation Engineering, Chienkuo Technology University, No. 1 Chiehshou North Road, Changhua City 500, Taiwan

4. Department of International Business, National Chi Nan University, 1 University Road, Nantou County, Puli City 54561, Taiwan

Abstract

Game theory is considered as an efficient framework in dealing with decision making problems for two players in the competitive environment. In general, the evaluation values of payoffs matrix are expressed by crisp values in a game model. However, many uncertainties and vagueness should be considered due to the qualitative criteria and the subjective judgment of decision makers in the decision making process. The aim of this study is to develop an effective methodology for solving the payoffs matrix with linguistic variables by multiple decision makers in a game model. Based on the linguistic variables, the decision makers can easily express their opinions with respect to criteria for each alternative. By using the linear programming method, we can find the optimal solution of a game matrix in accordance with the combination of strategies of each player effectively. In addition, the expected performance value (EPV) index is defined in this paper to compare the competition ability of each player based on the optimal probability of each strategy combination. And then, numerical example will be implemented to illustrate the computation process of the proposed model. The conclusion and future research are discussed at the end of this paper.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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