4.0 Article

Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method

Journal

JOURNAL OF INTELLIGENT SYSTEMS
Volume 23, Issue 3, Pages 311-324

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/jisys-2013-0075

Keywords

Neutrosophic set; single-valued neutrosophic set; minimum spanning tree; clustering algorithm; generalized distance measure

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Clustering plays an important role in data mining, pattern recognition, and machine learning. Then, single-valued neutrosophic sets (SVNSs) are a useful means to describe and handle indeterminate and inconsistent information, which fuzzy sets and intuitionistic fuzzy sets cannot describe and deal with. To cluster the data represented by single-value neutrosophic information, the article proposes a single-valued neutrosophic minimum spanning tree (SVNMST) clustering algorithm. Firstly, we defined a generalized distance measure between SVNSs. Then, we present an SVNMST clustering algorithm for clustering single-value neutrosophic data based on the generalized distance measure of SVNSs. Finally, two illustrative examples are given to demonstrate the application and effectiveness of the developed approach.

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