<p>Security is the primary and basic need of every society. Due to the critical role of security and the limitation of defense resources, the optimal allocation of resources has been of interest for a long time. For this reason, modeling the relationship between attackers and defenders has been the focus of many researchers. Game theory has been a key tool for modeling these conditions. Attackers and defenders use various tools such as deception to cause the most damage to the opponent and gain the most utility. Also, the information that the defenders and attackers have about each other is not usually perfect and it is in the form of conditional probability based on the signals they receive. In this research, a game theory model between attackers and a defender under conditions of imperfect information is designed. Considering possible conditions in the problem makes the model closer to the real situations. The results of the model help the players to make the optimal decision and thus obtain the highest utility.</p>