1. A Graphical Method for Solving Interval Matrix Games.
- Author
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Akyar, Handan and Akyar, Emrah
- Subjects
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GAME theory , *FUZZY numbers , *GRAPHIC methods , *LINEAR programming , *ALGORITHMS , *REAL numbers , *MATHEMATICAL functions - Abstract
2 x n or m x 2 interval matrix games are considered, and a graphical method for solving such games is given. Intervalmatrix game is the interval generation of classicalmatrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the payoffs may vary within a range for fixed strategies, an interval-valued matrix can be used to model such uncertainties. In the literature, there are different approaches for the comparison of fuzzy numbers and interval numbers. In this work, the idea of acceptability index is used which is suggested by Sengupta et al.2001 and Sengupta and Pal2009, and in view of acceptability index, well-known graphical method for matrix games is adapted to interval matrix games. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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