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The Global k-Means Clustering Analysis Based on Multi-Granulations Nearness Neighborhood

The Global k-Means Clustering Analysis Based on Multi-Granulations Nearness Neighborhood Multi-Granulations nearness approximation space is a new generalized model of approximation spaces, in which topology neighborhoods are induced by multi probe functions with many category features. In this paper, by combining global k-means clustering algorithms and topology neighborhoods, two k-means clustering algorithms are proposed, in which AFS topology neighborhoods are employed to determine the clustering initial points. The proposed method can be applied to the data sets with numerical, Boolean, linguistic rating scale, sub-preference relations features. The illustrative examples show that the proposed method is effective for clustering problems, and can enrich the applicable field on the idea of qualitatively near. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematics in Computer Science Springer Journals

The Global k-Means Clustering Analysis Based on Multi-Granulations Nearness Neighborhood

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Mathematics, general; Computer Science, general
ISSN
1661-8270
eISSN
1661-8289
DOI
10.1007/s11786-013-0150-0
Publisher site
See Article on Publisher Site

Abstract

Multi-Granulations nearness approximation space is a new generalized model of approximation spaces, in which topology neighborhoods are induced by multi probe functions with many category features. In this paper, by combining global k-means clustering algorithms and topology neighborhoods, two k-means clustering algorithms are proposed, in which AFS topology neighborhoods are employed to determine the clustering initial points. The proposed method can be applied to the data sets with numerical, Boolean, linguistic rating scale, sub-preference relations features. The illustrative examples show that the proposed method is effective for clustering problems, and can enrich the applicable field on the idea of qualitatively near.

Journal

Mathematics in Computer ScienceSpringer Journals

Published: Feb 19, 2013

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