Multiobjective security game with fuzzy payoffs

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 wit...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2019, Vol.16 (1), p.89
Hauptverfasser: Bigdeli, Hamid, Hassanpour, H, Tayyebi, Javad
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2019.4486