Multiobjective security game with fuzzy payoffs
نویسندگان
1 Department of Mathematics, University of Birjand, Birjand, Iran
2 Researcher in Army command and staff university
3 Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran.
doi
10.22111/ijfs.2019.4486چکیده
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.
