Solving multi-objective linear fractional programming problem based on Stanojevic's normalisation technique under fuzzy environment
by Indrani Maiti; Tarni Mandal; Surapati Pramanik; Sapan Kumar Das
International Journal of Operational Research (IJOR), Vol. 42, No. 4, 2021

Abstract: The fuzzy linear fractional programming (FLFP) problem has always been a subject of keen interest, and a rigorous research has also been done on it. However, due to some limitation of these methods, they cannot be applied to solving multi-objective linear fractional programming (MOLFP) problem with fuzzy coefficients and fuzzy variables. To overcome these limitations, Taylor series approximation and normalisation technique is applied in this problem. In this paper, we deal with the concept of α-cuts which are employed to defuzzify the problem. We also formulate the membership function of each objective function is linearised using first order Taylor series approximation and normalisation technique. Normalisation technique is employed to ensure that the range of the reduced membership function belongs to [0, 1]. Then fuzzy goal programming is applied to solve the formulated problem so that the negative deviational variables are minimised. Finally, the fruitfulness of the proposed algorithm is illustrated through numerical examples as compared to other methods.

Online publication date: Tue, 04-Jan-2022

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