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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Bibliographic Details
Published in:	Information sciences Vol. 243; pp. 95 - 99
Main Author:	Stanojević, Bogdana
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 10.09.2013
Subjects:	Fuzzy mathematical programming Linear fractional programming Multi-objective optimization Fuzzy mathematical programming Multi-objective optimization Linear fractional programming
ISSN:	0020-0255, 1872-6291
Online Access:	Get full text
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Summary:	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.
ISSN:	0020-0255 1872-6291
DOI:	10.1016/j.ins.2013.04.034