TY - JOUR
ID - 4486
TI - Multiobjective security game with fuzzy payoffs
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Bigdeli, Hamid
AU - Hassanpour, H
AU - Tayyebi, Javad
AD - Researcher in Army command and staff university
AD - Department of Mathematics,
University of Birjand,
Birjand, Iran
AD - Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran.
Y1 - 2019
PY - 2019
VL - 16
IS - 1
SP - 89
EP - 101
KW - Security game
KW - Bilevel programming
KW - Fuzzy numbers
KW - Nearest interval approximation
DO - 10.22111/ijfs.2019.4486
N2 - 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.
UR - http://ijfs.usb.ac.ir/article_4486.html
L1 - http://ijfs.usb.ac.ir/article_4486_1c4ca6520ef19a45925f08d70e7da68c.pdf
ER -