Linear programming model for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number
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Author list: Hunwisai D., Kumam P.
Publisher: Universidad Simón Bolívar
Publication year: 2017
Journal: Bulletin of Computational Applied Mathematics (2244-8659)
Volume number: 5
Issue number: 1
Start page: 9
End page: 32
Number of pages: 24
ISSN: 2244-8659
Languages: English-Great Britain (EN-GB)
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Abstract
In this work, we considered two-person zero-sum games with fuzzy payoffs and matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers (TrIFNs). The concepts of TrIFNs and their arithmetic operations were used. The cut-set based method for matrix games with payoffs of TrIFNs was also considered. Compute the interval-type value of any alfa-constrategies by simplex method for linear programming. The proposed method is illustrated with a numerical example. ฉ 2017, Universidad Simon Bolivar. All rights reserved.
Keywords
Intuitionistic fuzzy set, Linear programming, Matrix game
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