| Authors | Hassan Hassanpour,Javad Tayyebi |
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| Journal | Caspian journal of Mathematical sciences |
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| Page number | 0-0 |
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| Paper Type | Full Paper |
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| Journal Type | Typographic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | isc |
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| Keywords | bi, matrix game, Constrained bi, Intuitionistic fuzzy set, Intuitionistic fuzzy goal, Nash equilibrium solution |
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Abstract
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 the proposed model.
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