A two-phase approach for multi-objective programming problems with fuzzy coefficients

In this study, a two-phase procedure is introduced to solve multi-objective fuzzy linear programming problems. The procedure provides a practical solution approach, which is an integration of fuzzy parametric programming (FPP) and fuzzy linear programming (FLP), for solving real life multiple object...

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Vydáno v:Information sciences Ročník 177; číslo 23; s. 5191 - 5202
Hlavní autoři: Arıkan, Feyzan, Güngör, Zülal
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.12.2007
Témata:
Fuzzy parameters
Fuzzy programming
Fuzzy sets
Multiple objective programming
Fuzzy sets
Fuzzy parameters
Fuzzy programming
Multiple objective programming
ISSN:0020-0255, 1872-6291
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Shrnutí:In this study, a two-phase procedure is introduced to solve multi-objective fuzzy linear programming problems. The procedure provides a practical solution approach, which is an integration of fuzzy parametric programming (FPP) and fuzzy linear programming (FLP), for solving real life multiple objective programming problems with all fuzzy coefficients. The interactive concept of the procedure is performed to reach simultaneous optimal solutions for all objective functions for different grades of precision according to the preferences of the decision-maker (DM). The procedure can be also performed to obtain lexicographic optimal and/or additive solutions if it is needed. In the first phase of the procedure, a family of vector optimization models is constructed by using FPP. Then in the second phase, each model is solved by FLP. The solutions are optimal and each one is an alternative decision plan for the DM.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2007.06.023