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.
Madandar,F , Haghayeghi,S and Vaezpour,S . (2019). Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs. International Journal of Nonlinear Analysis and Applications, 10(1), 99-109. doi: 10.22075/ijnaa.2018.13073.1674
MLA
Madandar,F , , Haghayeghi,S , and Vaezpour,S . "Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs", International Journal of Nonlinear Analysis and Applications, 10, 1, 2019, 99-109. doi: 10.22075/ijnaa.2018.13073.1674
HARVARD
Madandar F, Haghayeghi S, Vaezpour S. (2019). 'Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs', International Journal of Nonlinear Analysis and Applications, 10(1), pp. 99-109. doi: 10.22075/ijnaa.2018.13073.1674
CHICAGO
F Madandar, S Haghayeghi and S Vaezpour, "Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs," International Journal of Nonlinear Analysis and Applications, 10 1 (2019): 99-109, doi: 10.22075/ijnaa.2018.13073.1674
VANCOUVER
Madandar F, Haghayeghi S, Vaezpour S. Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs. IJNAA. 2019;10(1):99-109. doi: 10.22075/ijnaa.2018.13073.1674
International Journal of Nonlinear Analysis and Applications