Clustering by a fuzzy metric

被引：4

作者：

Kamimura, H

Kurano, M

机构：

[1] Chiba Univ, Fac Educ, Dept Math, Inage Ku, Chiba 2638522, Japan

[2] Fukuoka Univ Educ, Dept Math, Munakata, Fukuoka 81141, Japan

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 120卷 / 02期

关键词：

clustering problem; fuzzy metric; alpha-cuts;

D O I：

10.1016/S0165-0114(99)00120-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider the clustering problem in which a distance between any two elements is given by a fuzzy metric. Our clustering criterion is to minimize the total of the average within-cluster sum of the fuzzy metrics and an optimal clustering is concretely sought by applying an approach by a-cuts of fuzzy numbers. Also, a numerical example is given to illustrate our theoretical results. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：249 / 254

页数：6

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