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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.

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