Title of article :
Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints
Author/Authors :
Khalifa ، Hamiden Abd El-Wahed Department of Operations Research - Faculty of Graduate Studies for Statistical Research - Cairo University , Pamučar ، Dragan Faculty of Organizational Sciences - University of Belgrade , Edalatpanah ، Ahmad Department of Applied Mathematics - Ayandegan Institute of Higher Education
Abstract :
The current study investigates to characterize the Complex Programming Problem (CPP) solution in a fuzzy environment. The paper is divided into two parts: 1) the first presents a Fuzzy Complex Programming Problem (F-CPP) with fuzzy complex constraints, and 2) the second presents the optimality criteria using the fuzzy complex cone. The CPP is suggested by involving fuzzy numbers in the constraints in parts. Using the cut set concepts, the problem is converted into the complex programming. A number of basic theorems with proofs are established concerning the basic results for the fuzzy complex set of solutions for the F-CPP, and the optimality criteria of the saddle point for F-CPP with fuzzy cones is derived.
Keywords :
Complex programming , Fuzzy numbers , α , cut set , Kuhn , Tucker s optimality conditions , Saddle point , Cone , Duality.
Journal title :
International Journal of Research in Indstrial Engineering
Journal title :
International Journal of Research in Indstrial Engineering
