Deception in multi attacker security game with nonfuzzy and fuzzy payoffs

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اردیبهشت 1401  

نوع مقاله: SPECIAL ISSUE- Volume 12 No 2 (Summer 2022)

شناسه دیجیتال (DOI): 10.22067/ijnao.2022.71302.1046

نویسندگان

Samaneh Esmaeeli¹؛ Hassan Hassanpour ²؛ H. Bigdeli³

¹Department of Mathematics, Faculty of Mathematical Science and Statistics University of Birjand, Birjand - Iran.

²Department of Mathematics, Faculty of Mathematical Science and Statistics University of Birjand, Birjand - Iran

³Institute for the Study of War, Command and Staff University, Tehran, I.R. Iran army.

چکیده

There is significant interest in studying security games for defense optimization and reducing the effects of attacks on various security systems involving vital infrastructures, financial systems, security and urban safeguarding centers. Game theory can be used as a mathematical tool to maximize the efficiency of limited security resources. In a game, players are smart, and it is natural for each player (defender or attacker) to try to deceive the opponent using various strategies in order to increase his payoff. Defenders can use deception as an effective means of enhancing security protection by giving incorrect information, hiding specific security resources, or using fake resources. However, despite the importance of deception in security issues, there are no considerable researches on this field, and most of works focus on deception in cyber environments. In this paper, a mixed integer linear programming problem is proposed to allocate forces efficiently in a security game with multiple attackers using game theory analysis. The important subjects about information are their credibility and reliability. Especially when the defender uses deceptive defense forces, there are more ambiguity and uncertainty. Security game with Z-number payoffs is considered to apply both ambiguities in the payoffs and the reliability of earning these payoffs. Finally, the proposed method is illustrated by some numerical examples.

کلیدواژه‌ها

Security game؛ Deceptive resource؛ Mixed integer programming؛ Fuzzy theory؛ Z-number