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Volume 12, Issue 1
An approach for solving fuzzy matrix games using signed distance method

Laxminarayan Sahoo

J. Info. Comput. Sci. , 12 (2017), pp. 073-080.

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  • Abstract
The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance method has been used for defuzzification of fuzzy number. The value of the matrix game and strategy for each player is obtained by solving corresponding crisp game problems using the traditional method. Finally, a numerical example has been presented and solved.
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@Article{JICS-12-073, author = {Laxminarayan Sahoo}, title = {An approach for solving fuzzy matrix games using signed distance method}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {12}, number = {1}, pages = {073--080}, abstract = {The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance method has been used for defuzzification of fuzzy number. The value of the matrix game and strategy for each player is obtained by solving corresponding crisp game problems using the traditional method. Finally, a numerical example has been presented and solved. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22500.html} }
TY - JOUR T1 - An approach for solving fuzzy matrix games using signed distance method AU - Laxminarayan Sahoo JO - Journal of Information and Computing Science VL - 1 SP - 073 EP - 080 PY - 2024 DA - 2024/01 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22500.html KW - matrix games KW - muzzy payoff,fuzzy number KW - signed distance method. AB - The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance method has been used for defuzzification of fuzzy number. The value of the matrix game and strategy for each player is obtained by solving corresponding crisp game problems using the traditional method. Finally, a numerical example has been presented and solved.
Laxminarayan Sahoo. (2024). An approach for solving fuzzy matrix games using signed distance method. Journal of Information and Computing Science. 12 (1). 073-080. doi:
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