A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems
Joint Authors
Chen, Chen-Tung
Chen, Farn-Shing
Lin, Ching-San
Hung, Wei-Zhan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-02
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lin, Ching-San& Chen, Chen-Tung& Chen, Farn-Shing& Hung, Wei-Zhan. 2014. A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-483407
Modern Language Association (MLA)
Lin, Ching-San…[et al.]. A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-483407
American Medical Association (AMA)
Lin, Ching-San& Chen, Chen-Tung& Chen, Farn-Shing& Hung, Wei-Zhan. A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-483407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483407