FGP approach to multi objective quadratic fractional programming problem

Objective functions in the form of a ratio of numerator and denominator functions which involve bothcontains linear and quadratic forms with the assumption that the set of feasible solutions is a convexpolyhedral with a nite number of extreme points and the denominator part of each of the objectivefunctions is non-zero in the constraint set. in this paper, we extend the procedure as suggestedby lachhwani (proc. nat. acad. sci. india, 82(4), 317-322) based on fuzzy goal programmingapproach for the solution of multi objective quadratic fractional programming (moqfp) problem.the proposed technique is simple, ecient and requires less computational work. in the proposedfgp model formulation, corresponding objectives of equivalent multi objective programming problemare transformed into fuzzy goals (membership functions) by means of assigning an aspiration level toeach of them and suitable membership function is dened for each objectives. then achievement ofthe highest membership value of each of fuzzy goals is formulated by minimizing the sum of negativedeviational variables. the proposed methodology is illustrated with numerical example in order tosupport the proposed methodology.