Multi-objective linear plus linear fractional programming problem based on Taylor series approximation

paper deals with fuzzy goal programming approach to multi-objective linear plus linear fractional programming problem based on Taylor series approximation. In the model formulation of the problem, we first construct the membership functions by determining individual optimal solutions of the objective functions subject to the system constraints. The membership functions are then transformed into equivalent linear membership functions by 1 st order Taylor series approximation. Then fuzzy goal programming models are formulated in order to solve the problem by minimizing negative deviational variables. Euclidean distance function is then used to obtain compromise optimal solution. To demonstrate the efficiency and feasibility of the proposed approach, two numerical examples are solved and compared with existing methods in the literature.