Aiming to the inherent fuzziness in quality function deployment (QFD) modeling , a new mathematic ap2 proach to identification QFD system parameters is presented using fuzzy optimization theory with symmetric triangular fuzzy number coefficients. By normalizing values of engineering characteristics , introducing new concepts of total de2 velopment cost function , and improving cost function and cost coefficient of engineering characteristic , a program model for QFD is proposed. Simulation results shows that the model can help a design team to determine the relation functions between customer requirements and engineering characteristics , and correlation functions among engineer2 ing characteristics. It can also reconcile tradeoffs among the various customer satisfaction levels and identifies engi2 neering characteristic target values for the new/ improved product that meets a budget constraint and matches or ex2 ceeds the customer satisfaction of all competitors in the target market