Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem
Joint Authors
Gupta, Mousumi
Bhattacharjee, Debasish
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-13
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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 λ (resp., 1-λ), 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.
American Psychological Association (APA)
Gupta, Mousumi& Bhattacharjee, Debasish. 2012. Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993701
Modern Language Association (MLA)
Gupta, Mousumi& Bhattacharjee, Debasish. Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993701
American Medical Association (AMA)
Gupta, Mousumi& Bhattacharjee, Debasish. Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993701