en Optimal analysis Optimal analysis پژوهشي Research Quadratic programming (QP) is an optimization problem wherein one minimizes (or maximizes) a quadratic function of a finite number of decision variable subject to a finite number of linear inequality and/ or equality constraints. In this paper, a quadratic programming problem (FFQP) is considered in which all cost coefficients, constraints coefficients, and right hand side are characterized by L-R fuzzy numbers. The FFQP problem is converted into the fully fuzzy linear programming using the Taylor series and hence into a linear programming problem which may be solved by applying GAMS Software. Finally, an example is given to illustrate the practically and the efficiency of the method. Fully Fuzzy Quadratic, L-R Fuzzy Numbers, Taylor Series, Fully Fuzzy Linear Programming, Ranking Function, Linear Programming, Fuzzy Optimal Solution. 333 344 http://ijoce.iust.ac.ir/browse.php?a_code=A-10-66-268&slc_lang=en&sid=1 H. Abd El-Wahed Khalifa 180031947532846001629 180031947532846001629 Yes