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Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 9، دوره 10، شماره 1، بهمن 2019، صفحه 99-109 اصل مقاله (155.42 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.13073.1674 | ||
نویسندگان | ||
Fatemeh Madandar1؛ Somayeh Haghayeghi* 1؛ S.Mansour Vaezpour2 | ||
1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
2Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran | ||
تاریخ دریافت: 22 خرداد 1396، تاریخ بازنگری: 21 آبان 1397، تاریخ پذیرش: 29 آذر 1397 | ||
چکیده | ||
In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto Nash equilibrium strategies of the fuzzy bi-matrix games. | ||
کلیدواژهها | ||
Bi-matrix game؛ Nash equilibrium؛ L-R fuzzy variable | ||
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