On solving fuzzy matrix games via linear programming approach

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Volume 13, Issue 4

H. A. Khalifa

J. Info. Comput. Sci. , 13 (2018), pp. 303-310.

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Abstract

Abstract In this paper, a two person zero- sum matrix game with fuzzy numbers payoff is introduced. Using the fuzzy number comparison introduced by Rouben's method, 1996, the fuzzy payoff is converted into the corresponding crisp payoff. Then, For each player, a linear programming problem is formulated. Also, a solution procedure for solving each problem is proposed. Finally, a numerical example is given for illustration.

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@Article{JICS-13-303, author = {H. A. Khalifa}, title = {On solving fuzzy matrix games via linear programming approach}, journal = {Journal of Information and Computing Science}, year = {2018}, volume = {13}, number = {4}, pages = {303--310}, abstract = {Abstract In this paper, a two person zero- sum matrix game with fuzzy numbers payoff is introduced. Using the fuzzy number comparison introduced by Rouben's method, 1996, the fuzzy payoff is converted into the corresponding crisp payoff. Then, For each player, a linear programming problem is formulated. Also, a solution procedure for solving each problem is proposed. Finally, a numerical example is given for illustration. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22439.html} }

TY - JOUR T1 - On solving fuzzy matrix games via linear programming approach AU - H. A. Khalifa JO - Journal of Information and Computing Science VL - 4 SP - 303 EP - 310 PY - 2018 DA - 2018/12 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22439.html KW - AB - Abstract In this paper, a two person zero- sum matrix game with fuzzy numbers payoff is introduced. Using the fuzzy number comparison introduced by Rouben's method, 1996, the fuzzy payoff is converted into the corresponding crisp payoff. Then, For each player, a linear programming problem is formulated. Also, a solution procedure for solving each problem is proposed. Finally, a numerical example is given for illustration.

H. A. Khalifa. (2018). On solving fuzzy matrix games via linear programming approach. Journal of Information and Computing Science. 13 (4). 303-310. doi:

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