A note on ‘Taylor series approach to fuzzy multiple objective linear fractional programming’

Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous...

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Vydáno v:Information sciences Ročník 243; s. 95 - 99
Hlavní autor: Stanojević, Bogdana
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 10.09.2013
Témata:
Fuzzy mathematical programming
Linear fractional programming
Multi-objective optimization
Fuzzy mathematical programming
Multi-objective optimization
Linear fractional programming
ISSN:0020-0255, 1872-6291
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Abstract Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous methods. He constructed fuzzy goals and then used first order Taylor-polynomials to approximate the corresponding linear fractional membership functions by linear functions. Aggregating the linear functions Toksari obtained a crisp linear programming problem and claimed that it is ‘equal’ to the fuzzy fractional one. In this paper, we indicate the fallacy that arises by using Taylor approximation and propose an improved method that guarantees the efficiency of the solution it provides. Both practical applications from Toksari’s paper are recalled to show that the improvements we suggest are effective.
AbstractList Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous methods. He constructed fuzzy goals and then used first order Taylor-polynomials to approximate the corresponding linear fractional membership functions by linear functions. Aggregating the linear functions Toksari obtained a crisp linear programming problem and claimed that it is ‘equal’ to the fuzzy fractional one. In this paper, we indicate the fallacy that arises by using Taylor approximation and propose an improved method that guarantees the efficiency of the solution it provides. Both practical applications from Toksari’s paper are recalled to show that the improvements we suggest are effective.
Author Stanojević, Bogdana
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Cites_doi 10.1016/S0165-0114(96)00100-5
10.1057/jors.2009.185
10.1016/j.ejor.2004.08.042
10.1016/j.ins.2007.06.010
10.1016/j.amc.2006.06.101
10.1016/j.apm.2013.01.041
10.1016/0165-0114(78)90031-3
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Keywords Fuzzy mathematical programming
Multi-objective optimization
Linear fractional programming
Language English
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SubjectTerms Fuzzy mathematical programming
Linear fractional programming
Multi-objective optimization
Title A note on ‘Taylor series approach to fuzzy multiple objective linear fractional programming’
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