Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 129, Issue -, Pages 103-121Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2020.11.001
Keywords
Cluster analysis; Interval-valued data; Dissimilarity measure; Ward's method
Categories
Ask authors/readers for more resources
This study introduces two clustering methods based on interval-valued dissimilarity and uses an arrow-dendrogram to demonstrate the results. Numerical experiments show that these methods can provide reasonable and consistent results for example data.
Numerous studies have focused on clustering methods for interval-valued data, which is a type of symbolic data. However, limited attention has been awarded to a clustering method employing interval-valued dissimilarity measures. To address this issue, herein, we propose two clustering approaches based on the Ward method using interval-valued dissimilarity for the interval-valued data. Each clustering method has different interval-valued dissimilarities. An interval-valued dissimilarity is generally not used to elucidate the computational result of a hierarchical clustering method by a traditional dendrogram; this is because the nodes of a dendrogram only designate real numbers and not an interval of numbers. We also present a new dendrogram with an arrow symbol, which is named arrow-dendrogram, to demonstrate the results of the clustering methods proposed in this study. In addition, we present the differences between the two clustering methods using numerical examples and numerical experimentation. The results of this study prove that the proposed clustering methods can intuitively provide reasonable and consistent results for our example data, thereby enabling us to completely comprehend the results of the clustering methods using interval-valued dissimilarity, via the arrow-dendrogram. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available