%0 Journal Article
%T Multiobjective security game with fuzzy payoffs
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Bigdeli, Hamid
%A Hassanpour, H
%A Tayyebi, Javad
%D 2019
%\ 02/01/2019
%V 16
%N 1
%P 89-101
%! Multiobjective security game with fuzzy payoffs
%K Security game
%K Bilevel programming
%K Fuzzy numbers
%K Nearest interval approximation
%R 10.22111/ijfs.2019.4486
%X 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.
%U http://ijfs.usb.ac.ir/article_4486_1c4ca6520ef19a45925f08d70e7da68c.pdf