FGP Approach for Solving multi-level multi-objective quadratic fractional programming problem with fuzzy parameters
Journal of Abstract and Computational Mathematics • 2017
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.
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