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.