solving defender-attacker game with multiple decision makers using expected-value model

Defender-attacker game is a model for conflicting between a defender and an attacker. defender tries to prevent attacking an opponent by assigning limited security resources. in real world the utility values of the defender-attacker game are assigned by experts which usually are uncertain. according to that the assigned values by several experts may be slightly different and conflicting, we consider a set of all their viewpoints. this approach is similar to hesitant fuzzy environment. also, each of the experts may have the different weights; ahp method is used to determine the weights of each of the experts. a weighted sum method is applied to obtain a game with aggregated payoffs. an expected value of the fuzzy numbers is introduced to convert the problem into defender-attacker game with interval payoffs. according to this, we proposed a method to solve security game in fuzzy environment. it is shown that the optimal solution of the expected value model is the optimal solution of the original model. finally, a practical example is illustrated to solve by the proposed method.