• Title of article

    GEOMETRIC FUNCTION OPTIMIZATION SUBJECT TO MIXED FUZZY RELATION INEQUALITY CONSTRAINTS

  • Author/Authors

    HEDAYATFAR, BEHNAZ School of Mathematics and Computer Sciences - Damghan University, Iran , ABBASI MOLAI, ALI School of Mathematics and Computer Sciences - Damghan University, Iran

  • Pages
    12
  • From page
    434
  • To page
    445
  • Abstract
    In this paper, the mixed fuzzy relation geometric programming problem is considered. The Mixed Fuzzy Relation Inequality (MFRI) system is an importance extension of FRI. It is shown that its feasible domain is non-convex and completely determined by its maximum solution and all its minimal solutions. A combination of the components of maximum solution and one of the minimal solutions solves the optimization problem. Some simplification procedures are proposed to solve the problem. An algorithm is finally designed to solve the problem.
  • Keywords
    Geometric programming , Mixed fuzzy relation inequality , Max-product composition , Max-hamacher composition , Non-convex optimization
  • Journal title
    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Serial Year
    2019
  • Record number

    2585542