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Dr. Mohamed Aly Elsayed Fahim :: Publications: |
Title: | 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: | |
Full paper | Not Available |
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. |