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
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