, Volume 56, Issue 2, pp 367–389 | Cite as

Architecting a fully fuzzy information model for multi-level quadratically constrained quadratic programming problem

  • Hawaf AbdAlhakim
  • O. E. Emam
  • A. A. Abd El-MageedEmail author
Theoretical Article


Fully fuzzy quadratic programming became emerge naturally in numerous real-world applications. Therefore, 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.


Fully fuzzy programming Multi-level programming Quadratic programming Bound and decomposition method Separable programming method 



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Copyright information

© Operational Research Society of India 2019

Authors and Affiliations

  • Hawaf AbdAlhakim
    • 1
  • O. E. Emam
    • 1
  • A. A. Abd El-Mageed
    • 1
    Email author
  1. 1.Faculty of Computers and Information, Information Systems DepartmentHelwan UniversityCairoEgypt

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