multi-objective linear plus linear fractional programmingproblem is an emerging tool for solving problems in different environments such as production planning, financial and corporate planning and healthcare and hos...
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multi-objective linear plus linear fractional programmingproblem is an emerging tool for solving problems in different environments such as production planning, financial and corporate planning and healthcare and hospital planning which has attracted many researchers in recent years. This paper presents a method to find a Pareto optimal solution for the multi-objective linear plus linear fractional programmingproblem through nonlinear membership function. The proposed approach defines a fuzzy goal for each objective through a nonlinear membership function. By means of nonlinear membership function, the multi-objective linear plus linear fractional programmingproblem transformed into a multi-objective nonlinear programming problem. Applying the linear approximation method, the nonlinearobjectives are converted into linear. In order to solve the multi-objective linear programmingproblem, the fuzzy goal programming model is formulated by minimizing the negative deviational variables. The proposed procedure is illustrated through numerical examples and a real-life application problem. Further, it is compared with the existing methods. Finally, the Euclidean distance function has been used to prove the efficiency of the proposed method.
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