Multiobjective security game with fuzzy payoffs

被引：0
|
作者：
Bigdeli, H. [1 ]
Hassanpour, H. [2 ]
Tayyebi, J. [3 ]
机构：
[1] Army Command & Staff Univ, Inst Study War, Tehran, Iran
[2] Univ Birjand, Dept Math, Birjand, Iran
[3] Birjand Univ Technol, Fac Ind & Comp Engn, Dept Ind Engn, Birjand, Iran
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2019年 / 16卷 / 01期
关键词：
Security game; Bilevel programming; Fuzzy numbers; Nearest interval approximation; MATRIX GAMES; STRATEGY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A multiobjective security game problem with fuzzy payoffs is studied in this paper. The problem is formulated as a bilevel programming problem with fuzzy coefficients. Using the idea of nearest interval approximation of fuzzy numbers, the problem is transformed into a bilevel programming problem with interval coefficients. The Karush-Kuhn-Tucker conditions is applied then to reduce the problem to an interval multiobjective single-level problem. It is shown that the solutions of this problem are obtained by solving a single-objective programming problem. Validity and applicability of the method are illustrated by a practical example.
引用
收藏
页码：89 / 101
页数：13
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