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MAX-t1范数聚类算法的改进
引用本文:闫德勤 迟忠先. MAX-t1范数聚类算法的改进[J]. 计算机科学, 2004, 31(6): 177-179
作者姓名:闫德勤 迟忠先
作者单位:辽宁师范大学计算机系,大连,116029;大连理工大学计算机系,大连,116024
基金项目:辽宁师范大学校基金资助.
摘    要:给出了关于传递闭包模糊聚类算法与在t1范数下利用模糊矩阵聚类方法的一些理论结果,同时解决了在t1范数下利用模糊矩阵聚类的方法中难于确定等价类的问题,从而给出了一种基于t1范数的聚类算法与应用结果。最后给出了基于max—t1范数与max—t3范数下利用模糊矩阵聚类方法间关系的讨论。

关 键 词:模糊聚类  t1范数  聚类算法  模糊矩阵

An Improvement Clustering Algorithms Based on Max-t1 Norm
YAN De-Qin CHI Zhong-Xian. An Improvement Clustering Algorithms Based on Max-t1 Norm[J]. Computer Science, 2004, 31(6): 177-179
Authors:YAN De-Qin CHI Zhong-Xian
Affiliation:YAN De-Qin~1 CHI Zhong-Xian~2
Abstract:A comparative study between transitive closure fuzzy clustering algorithm and the fuzzy clustering algorithm based on t_1-norm with fuzzy matrix are presented. The study shows that for describing the fuzzy relation of two elements max-t_1 fuzzy transitive relation is more critical than that of max-min fuzzy transitive relation. That is the reason why t_1-norm dose not has max-t transitivity. Besides, in this paper a new algorithm to determine equivalent classes is given. With the new algorithm the fuzzy clustering algorithm based on t_1-norm with fuzzy matrix is more reasonable. Experiments show the effectiveness of the new algorithm.
Keywords:Fuzzy clustering  Max-t_1 norm  Clustering algorithm  Fuzzy matrix  
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