Abstract: A novel Intuitionistic Fuzzy Sets with Parameters (IFSP) is introduced in this paper. Based on membership function, non-membership function and hesitancy function, this paper concentrates on the construction of Intuitionistic Fuzzy Sets with Double Parameters (IFSDP). Then, we define the distance measures of IFSDP based on the distance measures of IFS. Finally, a pattern recognition example applied to medical diagnosis decision-making 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.