The Similarity Measure between Interval Type-2 Fuzzy Sets based on Triangles
Interval Type-2 Fuzzy Sets (IT2 FSs) has been used in wide range of applications, such as decision making, pattern recognitions. However, there is little investigation on the clustering techniques of IT2 FSs, since it is very important for measuring the degree of similarity between interval type-2 fuzzy sets in clustering research. In this paper, we give a novel method to represent interval type-2 fuzzy sets by a series of linear functions. This method is named as triangular representation because the curves of the functions and the coordinates shape into triangles. A new kind of similarity between interval type-2 fuzzy sets based on triangle is given and the validity of this method is proven. Furthermore, several numerical examples are given to show that the proposed similarity measure is reasonable and better than any existing methods.
Zehua Lv Hai Jin Pingpeng Yuan
Services Computing Technology and System Laboratory,Cluster and Grid Computing laboratory,Huazhong University of Science and Technology,Wuhan,430074,China
国际会议
2009 IEEE International Conference on Information and Automation(2009年 IEEE信息与自动化国际学术会议)
珠海、澳门
英文
1374-1379
2009-06-22（万方平台首次上网日期，不代表论文的发表时间）