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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Vydané v:Fuzzy sets and systems Ročník 134; číslo 3; s. 397 - 405
Hlavní autori: Stancu-Minasian, I.M., Pop, Bogdana
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 16.03.2003
Elsevier
Predmet:
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
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Abstract 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.
AbstractList 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.
Author Stancu-Minasian, I.M.
Pop, Bogdana
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  organization: Department of Computer Science, “ Transilvania” University of Brasov, Iuliu Maniu 50, 2200 Brasov, Romania
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Cites_doi 10.1016/0165-0114(84)90023-X
10.1016/0020-0255(75)90046-8
10.1016/0020-0255(75)90036-5
10.1016/0020-0255(75)90017-1
10.1016/0165-0114(92)90034-2
10.1016/0165-0114(93)90025-D
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Issue 3
Keywords 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
Language English
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SubjectTerms 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
Title On a fuzzy set approach to solving multiple objective linear fractional programming problem
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