¹ Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, China
² School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China
³ School of management, Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, China

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Abstract—A novel intuitionistic fuzzy sets with parameters (IFSP) is introduced in this paper. Compared with conventional intuitionistic fuzzy sets (IFS), IFSP can provide more choices when it is applied to multiple attribute decision making. By analyzing the degree of hesitancy, an intuitionistic fuzzy sets with double parameters (IFSDP) model is presented. And then this paper proposes some weighted scoring functions based on IFS and IFSP. Finally, a multiple attribute decision making example applied to city planning is given to demonstrate the application of IFSDP and its weighted scoring functions. The simulation results show that the weighted scoring function method based on IFSDP is more comprehensive and flexible than the traditional intuitionistic fuzzy sets method.

Index Terms—intuitionistic fuzzy sets, intuitionistic fuzzy sets with parameters, intuitionistic fuzzy sets with double parameters, scoring function, multiple attribute decision making

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Cite: Zhenhua Zhang, Jinyu Yang, Youpei Ye, Yong Hu and Qiansheng Zhang, " Some Scoring Functions of Intuitionistic Fuzzy Sets with Parameters and Their Application to Multiple Attribute Decision Making," Journal of Computers vol. 8, no. 1, pp. 155-162, 2013.