Similarity measure of hesitant fuzzy sets based on symmetric cross entropy and its application in clustering analysis

被引：0
|
作者：
机构：
[1] [1,Liu, Xiao-Di
[2] Zhu, Jian-Jun
[3] Liu, Si-Feng
来源：
Liu, Xiao-Di | 1816年 / Northeast University卷 / 29期
关键词：
Entropy - Numerical methods - Fuzzy sets;
D O I：
10.13195/j.kzyjc.2013.0687
中图分类号：
学科分类号：
摘要：
The clustering method is studied under the hesitant fuzzy environment. Firstly, the hesitant fuzzy relative entropy and symmetric cross entropy are defined. From the viewpoint of information theory, a new similarity measure between two hesitant fuzzy sets is proposed. Then, a similarity coefficient matrix is constructed, and a netting method is presented to make clustering analysis for hesitant fuzzy sets. Finally, a numerical example is given to verify the effectiveness of the proposed method.
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