A New Method to Solve Multi-Objective Linear Fractional Problems

Background: In the literature, there exists several approaches to address the multi-objective linear fractional programming problem (MOLFPP). However, there is a drawback to these methods. Aim: This paper presents an efficient method treating the MOLFPP. Methodology: To construct our approach,the membership functions of the objectives, suitable non-linear variable transformations, and max-min technique are used. Results: In our proposed method, the MOLFPP is finally changed into a linear programming problem (LPP). It is proven that the optimal solution of the LPP is an efficient solution for the MOLFPP. Conclusion: Numerical examples are solved, and the results demonstrate that our method with less computational expenses and cost reach the efficient solutions.

Automated summary

This paper proposes an efficient method for solving the multi-objective linear fractional programming problem, transforming MOLFPP into LPP and proving that the optimal solution of LPP can serve as an efficient solution for MOLFPP.