TY - JOUR ID - 89284 TI - Nash equilibrium strategy for two-person zero-sum matrix games on credibility space JO - Communications in Nonlinear Analysis JA - CNA LA - en SN - AU - Haghayeghi, Somayeh AU - Madandar, Fatemeh AD - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. Y1 - 2018 PY - 2018 VL - 5 IS - 1 SP - 1 EP - 7 KW - Matrix game KW - fuzzy payoffs KW - Nash equilibrium KW - fuzzy trapezoidal variables DO - N2 - In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain theexpected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expectedvalue Nash equilibrium strategy of the fuzzy games. In other words, we extend the expected model to fuzzytrapezoidal variables and improve the previous researches in this area. However, in some cases, the gamedoesn't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibriumand weak Pareto Nash equilibrium strategies in these cases. UR - https://www.cna-journal.com/article_89284.html L1 - https://www.cna-journal.com/article_89284_352a4f458d1e3b415a27b051b7fb7f83.pdf ER -