FUZZY APPROACHES TO THE MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM INCLUDING INTERVAL COEFFICIENTS

In this paper, weighted sum and goal programming approach are considered to address multi-objective linear fractional programming problems including interval coefficients in the objective functions. The membership functions are defined after identifying fuzzy goals of the objective functions. Using first-order Taylor series transforms the fractional membership functions into linear functions for the weighted sum approach. Maximizing the sum of the linearzed functions yields the results of the solution. The membership functions are transformed by the use of suitable variable transformations in the goal programming approach. The sum of the deviational variables of the membership functions to their aspiration levels is minimized to achieve the solution. Numerical examples demonstrate the feasibility and effectiveness of the methods.