A fuzzy multiobjective linear programming

In this study, we focus on an MOLP problem with fuzzy-numbered cost coefficients. Based on the membership functions, the problem is transformed into a multiobjective problem with parametrically interval-valued MOLP problem. Then by the proposed tolerance analysis of a nondominated set, a fuzzy set o...

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Bibliographic Details
Published in:Fuzzy sets and systems 1997, Vol.86 (1), p.61-72
Main Authors: Hsiao-Fan Wang, Miao-Ling Wang
Format: Article
Language:English
Subjects:
Fuzzy number
MOLP
Parametrically interval values
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Summary:In this study, we focus on an MOLP problem with fuzzy-numbered cost coefficients. Based on the membership functions, the problem is transformed into a multiobjective problem with parametrically interval-valued MOLP problem. Then by the proposed tolerance analysis of a nondominated set, a fuzzy set of the efficient extreme bases can be obtained. Therefore, the fuzzy solutions can be focused to provide complete information for the final decision. Theoretical developments are provided with numerical illustrations.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(95)00393-2