Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method

被引:95
作者
Ye, Jun [1 ]
机构
[1] Shaoxing Univ, Dept Elect & Informat Engn, 508 Huancheng West Rd, Shaoxing 312000, Zhejiang, Peoples R China
关键词
Neutrosophic set; single-valued neutrosophic set; minimum spanning tree; clustering algorithm; generalized distance measure;
D O I
10.1515/jisys-2013-0075
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:311 / 324
页数:14
相关论文
共 15 条
[1]  
[陈东升 CHEN Dongsheng], 2007, [运筹与管理, Operations Research and Management Science], V16, P69
[2]   A hierarchical clustering algorithm based on fuzzy graph connectedness [J].
Dong, Yihong ;
Zhuang, Yueting ;
Chen, Ken ;
Tai, Xiaoying .
FUZZY SETS AND SYSTEMS, 2006, 157 (13) :1760-1774
[3]  
Harary J., 1969, GRAPH THEORY
[4]  
Jain A., 1988, DUBES ALGORITHMS CLU
[5]  
Kruskal J.B., 1956, P AM MATH SOC, V7, P3, DOI [10.2307/2033241, DOI 10.1090/S0002-9939-1956-0078686-7, 10.1090/S0002-9939-1956-0078686-7]
[6]   SHORTEST CONNECTION NETWORKS AND SOME GENERALIZATIONS [J].
PRIM, RC .
BELL SYSTEM TECHNICAL JOURNAL, 1957, 36 (06) :1389-1401
[7]   A NEW APPROACH TO CLUSTERING [J].
RUSPINI, EH .
INFORMATION AND CONTROL, 1969, 15 (01) :22-&
[8]  
Smarandache F.A., 1998, MULTIPLE VALUED LOGI
[9]  
Wang H., 2010, MULTISPACE MULTISTRU, V4, P410
[10]  
Xiaolu Zhang, 2012, Control and Cybernetics, V41, P645