Application of Fuzzy Programming Method for Solving Nonlinear Fractional Programming Problems with Fuzzy Parameters

This paper presents a fuzzy programming procedure to solve nonlinear fractional programming problems in which the parameters involved in objective function are considered as fuzzy numbers. At first a multiobjective fuzzy nonlinear programming model is constructed by considering the numerator and denominator part, individually, of the fractional objective. Then by using tolerance ranges of the fuzzy parameters, the problem is decomposed and each decomposed objectives is solved independently within the feasible region to find the upper and lower tolerance values of the fuzzy objective goals in the decision making environment. Finally a Taylor's series linear approximation technique is applied to linearize the membership goals and thereby obtaining most satisfactory decision in the decision making arena. A numerical example is solved and the solution is compared with existing approach to establish the efficiency of the proposed methodology.