A direct solution approach to fuzzy mathematical programs with fuzzy decision variables

► A novel approach is proposed to solve fuzzy mathematical programs with fuzzy decision variables. ► The proposed approach incorporates metaheuristics and fuzzy ranking functions. ► The proposed approach does not need any transformation process in solving a given fuzzy program. In this paper, a dire...

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Veröffentlicht in:Expert systems with applications 2012-02, Vol.39 (2), p.1972-1978
Hauptverfasser: Baykasoglu, Adil, Gocken, Tolunay
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Gocken, Tolunay
description ► A novel approach is proposed to solve fuzzy mathematical programs with fuzzy decision variables. ► The proposed approach incorporates metaheuristics and fuzzy ranking functions. ► The proposed approach does not need any transformation process in solving a given fuzzy program. In this paper, a direct solution approach is presented for solving fuzzy mathematical programming problems with fuzzy decision variables. In the proposed approach, a fuzzy ranking procedure for fuzzy numbers and a meta-heuristic algorithm is employed. A basic example is presented in the paper. It has been observed that fuzzy mathematical programs with fuzzy decision variables can be solved effectively by employing direct solution approaches which are based on fuzzy ranking procedures and meta-heuristics.
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subjects Expert systems
Fuzzy
Fuzzy decision variables
Fuzzy logic
Fuzzy mathematical programming
Fuzzy set theory
Heuristic methods
Mathematical analysis
Mathematical models
Meta-heuristics
Particle swarm optimization
Ranking
title A direct solution approach to fuzzy mathematical programs with fuzzy decision variables
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