On a fuzzy set approach to solving multiple objective linear fractional programming problem

In 1984, Luhandjula used a linguistic variable approach in order to present a procedure for solving multiple objective linear fractional programming problem (MOLFPP). In 1992, Dutta et al. (Fuzzy Sets and Systems 52 (1) (1992) 39–45) modified the linguistic approach of Luhandjula such as to obtain e...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 134; no. 3; pp. 397 - 405
Main Authors: Stancu-Minasian, I.M., Pop, Bogdana
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 16.03.2003
Elsevier
Subjects:
Applied sciences
Exact sciences and technology
Fuzzy mathematical programming
Linguistic variable
Mathematical programming
Multiple objective linear fractional programming
Operational research and scientific management
Operational research. Management science
Fuzzy mathematical programming
Multiple objective linear fractional programming
Linguistic variable
Optimal solution
Multiobjective programming
Linear programming
Fuzzy programming
Fractional programming
Fuzzy set
Linguistic model
Mathematical programming
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:In 1984, Luhandjula used a linguistic variable approach in order to present a procedure for solving multiple objective linear fractional programming problem (MOLFPP). In 1992, Dutta et al. (Fuzzy Sets and Systems 52 (1) (1992) 39–45) modified the linguistic approach of Luhandjula such as to obtain efficient solution to problem MOLFPP. The aim of this paper is to point out certain shortcomings in the work of Dutta et al. and give the correct proof of theorem which validates the obtaining of the efficient solutions. We notice that the method presented there as a general one does only work efficiently if certain hypotheses (restrictive enough and hardly verified) are satisfied. The example considered by Dutta et al. is again used to illustrate the approach.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(02)00142-2