Rouben Ranking Function and parametric approach to quadratically constrained multiobjective quadratic fractional programming with trapezoidal fuzzy number coefficients

The present study proposed a procedure to obtain an efficient solution for a programming model which is multiobjective quadratic fractional with trapezoidal fuzzy numbers as coefficients in all the objective functions and constraints. The proposed approach consists of three stages. In the first stage, defuzzification of the coefficients is carried out using the Rouben Ranking Function. Then, in the second stage, a crisp multiobjective quadratic fractional programming model is reconstructed to obtain a non-fractional model based on an iterative parametric approach. In the final stage, this multiobjective non-fractional model is transformed to get a single objective model by applying epsilon-constraint method. This final model is then solved to get a desired solution . Also, an algorithm and flowchart expressing the methodology is given to present a clear picture of the approach. Finally, a numerical illustration expressing the complete approach is given in the end.