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

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 a-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 a-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.