A NEW METHOD TO MEASURE THE SIMILARITY BETWEEN INTERVAL-VALUED FUZZY NUMBERS

摘要：

In this paper, we propose a new similarity measure between interval-valued fuzzy numbers.The proposed similarity measure considers the similarity of the gravities on the X-axis between upper fuzzy numbers, the difference of the spreads between upper fuzzy numbers, the heights of the upper fuzzy numbers, the degree of similarity on the X-axis between interval-valued fuzzy numbers, and the gravities on the Y-axis between interval-valued fuzzy numbers.We also prove three properties of the proposed similarity measure between interval-valued fuzzy numbers.We also use some data sets to compare the proposed similarity measure with Chens method 1.The proposed method gets more reasonable results than the method presented in 1 to calculate the degree of similarity between interval-valued fuzzy numbers.

关键词： Interval-valued fuzzy numbers Similarity measures Upper fuzzy numbers Lower fuzzy numbers

作者: JIM-HO CHEN SHYI-MING CHEN

作者单位: Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, R.O.C.

会议类型: 国际会议

会议名称: 2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)

会议地点: 香港

会议语种:英文

页码: 1403-1408

在线出版日期: 2007-08-19（万方平台首次上网日期，不代表论文的发表时间）