Architecting a Fully Fuzzy Information Model for Multi-Level Quadratically Constrained Quadratic Programming Problem

Authors

Hawaf AbdAlhakim, Information Systems Department, Faculty of Computers and Information, Helwan University, P.O. Box 11795, EgyptFollow
O. E. Emam, Information Systems Department, Faculty of Computers and Information, Helwan University, P.O. Box 11795, EgyptFollow
A. A. Abd El-Mageed, Information Systems Department, Faculty of Commerce, Sohag University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

An effective model based on the bound and decomposition method and the separable programming method is proposed in this paper for solving Fully Fuzzy Multi-Level Quadratically Constrained Quadratic Programming (FFMLQCQP) problem, where the objective function and the constraints are quadratic, also all the coefficients and variables of both objective functions and constraints are described fuzzily as fuzzy numbers. The bound and decomposition method is recommended to decompose the given (FFMLQCQP) problem into series of crisp Quadratically-Constrained Quadratic Programming (QCQP) problems with bounded variable constraints for each level. Each (QCQP) problem is then solved independently by utilizing the separable programming method, which replaces the quadratic separable functions with linear functions. At last, the fuzzy optimal solution to the given (FFMLQCQP) problem is obtained. The effectiveness of the proposed model is illustrated through an illustrative numerical example.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130522

Recommended Citation

AbdAlhakim, Hawaf; E. Emam, O.; and A. Abd El-Mageed, A. (2019) "Architecting a Fully Fuzzy Information Model for Multi-Level Quadratically Constrained Quadratic Programming Problem," Applied Mathematics & Information Sciences: Vol. 13: Iss. 5, Article 22.
DOI: http://dx.doi.org/10.18576/amis/130522
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss5/22