| publication name | FGP Approach for Solving multi-level multi-objective quadratic fractional programming problem with fuzzy parameters |
|---|---|
| Authors | M. S. Osman, O. E. Emam, M. A. El sayed |
| year | 2017 |
| keywords | Multi-level programming, quadratic programming, fractional programming, fuzzy sets, fuzzy goal programming. |
| journal | Journal of Abstract and Computational Mathematics |
| volume | 2 |
| issue | 1 |
| pages | 56-70 |
| publisher | BISKA INTERNATIONAL JOURNALS |
| Local/International | International |
| Paper Link | http://www.ntmsci.com/jacm/Articles |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we consider fuzzy goal programming (FGP) approach for solving multi-level multi-objective quadratic fractional programming (ML-MOQFP) problem with fuzzy parameters in the constraints. Firstly, the concept of the ?-cut approach is applied to transform the set of fuzzy constraints into a common deterministic one. Then, the quadratic fractional objective functions in each level are transformed into quadratic objective functions based on a proposed transformation. Secondly, the FGP approach is utilized to obtain a compromise solution for the ML-MOQFP problem by minimizing the sum of the negative deviational variables. Finally, an illustrative numerical example is given to demonstrate the applicability and performance of the proposed approach.