A hybrid fuzzy–goal programming approach to multiple objective linear fractional programming problems

This paper presents an algorithm for solving a Multiple Objective Fractional Decision Making (MOFDM) problem based on the theory of weakly-efficient points, fuzzy sets, and Goal Programming (GP). Starting from an integer weakly-efficient point, the proposed algorithm combines the attractive features of both fuzzy set theory and GP for MOFDM problem into a lexicographic GP problem by fixing the priorities and aspiration levels using the concept of fuzzy membership function along with the concept of conflict among the objectives. It is illustrated with the help of an example.