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FGP Approach for Solving multi-level multi-objective quadratic fractional programming problem with fuzzy parameters

Journal of Abstract and Computational Mathematics • 2017
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Publication Information
Authors M. S. Osman, O. E. Emam, M. A. El sayed
Keywords Multi-level programming, quadratic programming, fractional programming, fuzzy sets, fuzzy goal programming.
Journal Journal of Abstract and Computational Mathematics
Publisher BISKA INTERNATIONAL JOURNALS
Volume 2
Issue 1
Pages 56-70
publication.type International
Paper Link Open Link
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.