H. Abd El-Wahed Khalifa

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.