Abstract: A new method was proposed with respect to multi-attribute decision making problem in which the attribute weights are unknown completely and the attribute values are intuitionistic fuzzy numbers．First,some operational laws,score function and accuracy function of intuitionistic fuzzy numbers were briefly introduced．Further,a quadratic programming model was established and the attribute weights were obtained by solving this model．Moreover,overall attribute values of every alternative were aggregated by utilizing the intuitionistic fuzzy weighted averaging (IFWA) ope-rator．Finally,the alternatives were ranked and the most desirable one was selected according to score function and accuracy function．In addition,an example was given to show the practicality and feasibility of the developed approach.

Key words: Intuitionistic fuzzy number,Multi-attribute decision making,Quadratic programming