Title
Three-way k-means: integrating k-means and three-way decision
Abstract
The traditional k-means, which unambiguously assigns an object precisely to a single cluster with crisp boundary, does not adequately show the fact that a cluster may not have a well-defined cluster boundary. This paper presents a three-way k-means clustering algorithm based on three-way strategy. In the proposed method, an overlap clustering is used to obtain the supports (unions of the core regions and the fringe regions) of the clusters and perturbation analysis is applied to separate the core regions from the supports. The difference between the support and the core region is regarded as the fringe region of the specific cluster. Therefore, a three-way explanation of the cluster is naturally formed. Davies–Bouldin index (DB), Average Silhouette index (AS) and Accuracy (ACC) are computed by using core region to evaluate the structure of three-way k-means result. The experimental results on UCI data sets and USPS data sets show that such strategy is effective in improving the structure of clustering results.
Year
DOI
Venue
2019
10.1007/s13042-018-0901-y
International Journal of Machine Learning and Cybernetics
Keywords
Field
DocType
Three-way clustering,Three-way decision,K-means,Cluster validity index
Cluster (physics),k-means clustering,Data set,Perturbation theory,Silhouette,Cluster validity index,Algorithm,Cluster analysis,Mathematics
Journal
Volume
Issue
ISSN
10
10
1868-808X
Citations 
PageRank 
References 
5
0.39
32
Authors
4
Name
Order
Citations
PageRank
Pingxin Wang1354.40
Hong Shi270.79
Xi-bei Yang3121166.36
Ju-Sheng Mi4205477.81