Two weighted fuzzy goal programming methods to solve multiobjective goal programming problem
type: Item
instance of: scholarly article
title: Two weighted fuzzy goal programming methods to solve multiobjective goal programming problem
zbMATH Open document ID: 1251.90401
DOI: 10.1155/2012/796028
author: Mousumi Gupta
author: Debasish Bhattacharjee
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We propose two new methods to find the solution of fuzzy goal programming (FGP) problem by weighting method. Here, the relative weights represent the relative importance of the objective functions. The proposed methods involve one additional goal constraint by introducing only underdeviation variables to the fuzzy operator \(\lambda\) (resp., \(1-\lambda\)), which is more efficient than some well-known existing methods such as those proposed by Zimmermann, Hannan, Tiwari, and Mohamed. Mohamed proposed that every fuzzy linear program has an equivalent weighted linear goal program where the weights are restricted as the reciprocals of the admissible violation constants. But the above proposition of Mohamed is not always true. Furthermore, the proposed methods are easy to apply in real-life situations which give better solution in the sense that the objective values are sufficiently closer to their aspiration levels. Finally, for illustration, two real examples are used to demonstrate the correctness and usefulness of the proposed methods.
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 6106310
zbMATH Keywords: fuzzy goal programming
zbMATH Keywords: weighting method
MaRDI profile type: Publication
Wikidata QID: Q58907365
full work available at URL: https://doi.org/10.1155/2012/796028
OpenAlex ID: W2010697640
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DBLP publication ID: journals/jam/GuptaB12
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description: scientific article; zbMATH DE number 6106310