ISBN: 978-981-08-8407-9
Authors: Yan-Kuen Wu, Ching-Feng Wen and Yung-Yih Lur
Abstract:
Several methods have been addressed to attain fuzzy efficient solution for the multiple objective linear programming problems with fuzzy goals in the literature. Recently, Jimenez and Bilbao showed that a fuzzy-efficient solution may not guarantee to be Pareto-optimal solution in the case that one of fuzzy goals is fully achieved. To show this point they employ Guu and Wu’s two-phase approach to obtain a fuzzy-efficient solution first, then a model like a conventional goal programming (GP) problem is proposed for finding a Pareto-optimal solution. In this study, a new two-phase approach is proposed to find a Paretooptimal solution for the multiple objective linear programming problems with fuzzy goals without relying on the results of original two-phase approach. We also show that the optimal solution yielded from this new two-phase approach is Paretooptimal solution.
Keywords: two-phase approach; Pareto-optimal solution; fuzzy efficient solution; multiple objective linear programming problems
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