Quadratic programming is a special form of nonlinear programming and one of the most commonly used forms too. Linear programming is also none other than a particular case of quadratic programming. Ever-present impreciseness often makes way for natural inclination to fuzzy theory. In this paper, we intend to solve a quadratic programming problem (QPP) involving fuzzy parameters and fuzzy variables. We propose two approaches to solve such a QPP having not only fuzzy parameters in the objective function and constraints but fuzzy variables as well. This fully fuzzy QPP is eventually reduced to a crisp QPP and the solution is obtained in the form of fuzzy variables, first directly and later by applying Karush- Kuhn Tucker conditions. The proposed methods are also illustrated by some numerical examples.
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