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An Improvement Clustering Algorithms Based on Max-t1 Norm
MAX—t1范数聚类算法的改进

Keywords: Fuzzy clustering,Max-t_1 norm,Clustering algorithm,Fuzzy matrix
MAX-t1范数
,聚类算法,模糊聚类,模糊矩阵

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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.

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