The notion of intuitionistic fuzzy sets with parameters (IFSP) is first introduced in this paper. Compared with conventional intuitionistic fuzzy sets (IFS), IFSP can improve the recognition accuracy when it is applied to pattern recognition. By analyzing the degree of hesitancy, this paper concentrates on the construction and application of intuitionistic fuzzy sets with double parameters (IFSDP). Finally, a pattern recognition example applied to automatic control system is given to demonstrate the application of IFSDP. The simulation results show that the method of IFSDP is more comprehensive and flexible than that of the traditional intuitionistic fuzzy sets.