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

Stanojević, Bogdana

doi:10.1016/j.ins.2013.04.034

Cited by 6 publications

(1 citation statement)

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“…In the proposed approach, first the membership functions of distance functions from PIS and NIS of first and second levels are formulated. Linearization technique is used in order to transform the nonlinear membership functions into equivalent linear membership functions using first-order Taylor series approximation and normalization technique (Stanojević 2013) is employed to normalize them. Thereafter, max-min models are formulated in order to obtain the satisfactory decision for each level DM.…”

Section: Resultsmentioning

confidence: 99%

TOPSIS approach to linear fractional bi-level MODM problem based on fuzzy goal programming

Dey

Pramanik²,

Giri

2014

J Ind Eng Int

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The objective of this paper is to present a technique for order preference by similarity to ideal solution (TOPSIS) algorithm to linear fractional bi-level multiobjective decision-making problem. TOPSIS is used to yield most appropriate alternative from a finite set of alternatives based upon simultaneous shortest distance from positive ideal solution (PIS) and furthest distance from negative ideal solution (NIS). In the proposed approach, first, the PIS and NIS for both levels are determined and the membership functions of distance functions from PIS and NIS of both levels are formulated. Linearization technique is used in order to transform the nonlinear membership functions into equivalent linear membership functions and then normalize them. A possible relaxation on decision for both levels is considered for avoiding decision deadlock. Then fuzzy goal programming models are developed to achieve compromise solution of the problem by minimizing the negative deviational variables. Distance function is used to identify the optimal compromise solution. The paper presents a hybrid model of TOPSIS and fuzzy goal programming. An illustrative numerical example is solved to clarify the proposed approach. Finally, to demonstrate the efficiency of the proposed approach, the obtained solution is compared with the solution derived from existing methods in the literature.Keywords Bi-level programming Á Fuzzy goal programming Á Linear fractional bi-level multi-objective decision making Á Multi-objective decision making Á TOPSIS

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Section: Resultsmentioning

confidence: 99%