%0 Journal Article
%T Nash equilibrium strategy for two-person zero-sum matrix games on credibility space
%A Madandar, Fatemeh
%A Haghayeghi, Somayeh
%J Communications in Nonlinear Analysis
%D 2018
%V 5
%N 1
%@ 2371-7920
%F Madandar2018
%X In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain the
expected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expected
value Nash equilibrium strategy of the fuzzy games. In other words we extend the expected model to fuzzy
trapezoidal variables and improve the previous researches in this area. However in some cases, the game
don't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibrium
and weak Pareto Nash equilibrium strategies in this cases.
%9 journal article
%R
%U
%P 1--7
%0 Journal Article
%T Expected value of fuzzy variable and fuzzy expected value models,
%A L. Baoding
%A L. Yian-Kui
%J IEEE Transactions on Fuzzy Systems
%D 2002
%V 10
%F Baoding2002
%0 Journal Article
%T On Nash equilibrium strategy of two-person zero-sum games with trapezoidal fuzzy payoffs
%A B. Dutta
%A S. K. Gupta
%J Fuzzy Inf. Eng.
%D 2014
%V 6
%F Dutta2014
%0 Journal Article
%T Nash equilibrium strategy for fuzzy non-cooperative games
%A L. Cunlin
%A Z. Qiang
%J Fuzzy Sets and Systems
%D 2011
%V 176
%F Cunlin2011