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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.

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