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Bigdeli, Hamid, Hassanpour, Hassan. (1401). Solving Defender-Attacker Game with Multiple Decision Makers Using Expected-Value Model. پژوهشنامه مدیریت اجرایی, 11(2), 368-380. doi: 10.22080/cjms.2020.18275.1466
Hamid Bigdeli; Hassan Hassanpour. "Solving Defender-Attacker Game with Multiple Decision Makers Using Expected-Value Model". پژوهشنامه مدیریت اجرایی, 11, 2, 1401, 368-380. doi: 10.22080/cjms.2020.18275.1466
Bigdeli, Hamid, Hassanpour, Hassan. (1401). 'Solving Defender-Attacker Game with Multiple Decision Makers Using Expected-Value Model', پژوهشنامه مدیریت اجرایی, 11(2), pp. 368-380. doi: 10.22080/cjms.2020.18275.1466
Bigdeli, Hamid, Hassanpour, Hassan. Solving Defender-Attacker Game with Multiple Decision Makers Using Expected-Value Model. پژوهشنامه مدیریت اجرایی, 1401; 11(2): 368-380. doi: 10.22080/cjms.2020.18275.1466

Solving Defender-Attacker Game with Multiple Decision Makers Using Expected-Value Model

Caspian Journal of Mathematical Sciences
مقاله 22، دوره 11، شماره 2، 2022، صفحه 368-380    اصل مقاله (332.39 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2020.18275.1466
نویسندگان
Hamid Bigdeli* 1؛ Hassan Hassanpour2
1Department of Science and Technology Studies, AJA Command and Staff University, Tehran. Iran
2Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand. Iran
تاریخ دریافت: 21 بهمن 1398،  تاریخ بازنگری: 12 فروردین 1399،  تاریخ پذیرش: 16 فروردین 1399 
چکیده
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.
کلیدواژه‌ها
Defender-attacker game؛ Fuzzy sets؛ Bilevel programming
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