Title: A linear modelling to solve multi-objective linear fractional programming problem with fuzzy parameters

Authors: Ali Payan; Abbas Ali Noora

Addresses: Department of Mathematics, College of Basic Sciences, Zahedan Branch, Islamic Azad University, P. O. Box 98135-978, Zahedan, Iran ' Faculty of Mathematics, Sistan and Baluchestan University, P.O. Box 98155-987, Zahedan, Iran

Abstract: The purpose of this paper is to present a linearisation procedure to solve the multi-objective linear fractional programming problem with fuzzy parameters. It is easier to understand and it has less computational complexity in contrast with other existing method to solve the multi-objective linear fractional programming problem with fuzzy parameters. As a result, the problem is firstly transformed into a multi-objective linear fractional programming problem with interval parameters using α-cut method. Then, the multi-objective linear fractional programming problem with interval parameters is reduced to a linear programming problem with interval parameters to provide the optimal interval values for the objective functions of multi-objective linear fractional programming problem with interval parameters for each specified α-cut. The obtained interval parameters can then be aggregated to generate fuzzy numbers for the optimal values of the objective functions of multi-objective linear fractional programming problem with fuzzy parameters. Lastly, a numerical example is given to illustrate the procedure.

Keywords: multi-objective LFP; linear fractional programming; MOLFP; linear programming; linear modelling; fuzzy parameters; fuzzy logic; alpha-cut; interval parameter.

DOI: 10.1504/IJMMNO.2014.063268

International Journal of Mathematical Modelling and Numerical Optimisation, 2014 Vol.5 No.3, pp.210 - 228

Received: 27 Aug 2013
Accepted: 01 Apr 2014

Published online: 08 Jul 2014 *

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