Pareto optimal solutions for fractional multi-objective optimization problems using MATLAB

Abstract

The purpose of this paper is to generate numerical Pareto optimal solutions for fractional multi-objective optimization (FMO) problems based on the Charens -Cooper transformation method and the weighting method using MATLAB ® (R2014a). I introduce a MATLAB ® code and a numerical hybrid algorithm for solving FMO problems. Also, i give an illustrative numerical example to clarify the main results developed in this paper. The hand solution of the numerical example and the solution by the code give the same results. The scientists and the engineers can apply the introduced code and the numerical hybrid algorithm to different practical FMO problems to obtain numerical solutions.