Abstract: With respect to multiple attribute decision making ( MADM) problem in which the attribute weights are known completed and the attribute values are intuitionistic trapezoidal fuzzy numbers, a method of grey relational analysis was proposed. Firstly, the definition and distance and nature of intuitionistic trapezoidal fuzzy numbers were given.Then, based on the basic idea of traditional grey relational analysis method, decision making steps of MADM problem with intuitionistic trapezoidal fuzzy numbers were proposed. Finally, an example was given to show the practicality and effectiveness of the developed approach.

Key words: Grey relational analysis, Multiple attribute decision making(MADM),Intuitionistic trapezoidal fuzzy numbers, Hamming distance