FGP Approach for Solving Fractional Multiobjective Decision Making Problems Using GA with Tournament Selection and Arithmetic Crossover

This article presents an effective genetic algorithm (GA) based fuzzy goal programming (FGP) for modelling and solving multiobjective decision making (MODM) problems with fractional criteria. In the proposed approach, GA, inspired by the natural selection and population genetics, is introduced first for searching of solutions at different stages and thereby solving the problem. In the proposed GA scheme, tournament selection scheme, arithmetic crossover and uniform mutation are adopted to search a satisfactory solution in complex decision making environment. To illustrate the potential use of the approach, a numerical example is solved and compared with the solutions obtained in previous study.