• Title of article

    Multiobjective security game with fuzzy payoffs

  • Author/Authors

    Bigdeli, H Institute for the Study of War - Army Command and Staff University, Tehran, I.R. Iran , Hassanpour, H Department of Mathematics - University of Birjand, Birjand, I.R. Iran , Tayyebi, J Department of Industrial Engineering - Faculty of Industrial and Computer Engineering - Birjand University of Technology, Birjand, I.R. Iran

  • Pages
    13
  • From page
    89
  • To page
    101
  • Abstract
    A multiobjective security game problem with fuzzy payos is studied in this paper. The problem is formulated as a bilevel programming problem with fuzzy coecients. Using the idea of nearest interval approximation of fuzzy numbers, the problem is transformed into a bilevel programming problem with interval coecients. 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.
  • Keywords
    Nearest interval approximation , Fuzzy numbers , Bilevel programming , Security game
  • Serial Year
    2019
  • Record number

    2493833