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Constrained bi-matrix games with intuitionistic fuzzy goals | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 آذر 1404 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2025.28478.1741 | ||
| نویسندگان | ||
| Narges Mirazizi1؛ Hassan Hassanpour* 1؛ Javad Tayyebi2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran | ||
| 2Department of Industrial Engineering, Faculty of Computer and Industrial Engineering, Birjand University of Technology, Birjand, Iran. | ||
| تاریخ دریافت: 04 بهمن 1403، تاریخ بازنگری: 14 آذر 1404، تاریخ پذیرش: 17 آذر 1404 | ||
| چکیده | ||
| In this paper a constrained bi-matrix game with intuitionistic fuzzy goals is studied. The Nash-equilibrium solution is defined for the problem, and some necessary and sufficient conditions for the existence of equilibrium solution are stated and proved. Then, a mathematical programming model is given, and it is proved that its optimal solution is an equilibrium solution of this bi-matrix game. Finally, two numerical examples are presented to illustrate our proposed model. | ||
| کلیدواژهها | ||
| Bi-matrix game؛ Constrained bi-matrix game؛ Intuitionistic fuzzy set؛ Intuitionistic fuzzy goal؛ Nash equilibrium solution | ||
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آمار تعداد مشاهده مقاله: 2 |
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