[1]吴福保,李奇,宋文忠.模糊聚类分析的传递方法[J].东南大学学报(自然科学版),1999,29(2):105-110.[doi:10.3969/j.issn.1001-0505.1999.02.020]
 Wu Fubao,Li Qi,Song Wenzong.Transfer Algorithm to Fuzzy Clustering Analysis[J].Journal of Southeast University (Natural Science Edition),1999,29(2):105-110.[doi:10.3969/j.issn.1001-0505.1999.02.020]
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模糊聚类分析的传递方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
29
期数:
1999年第2期
页码:
105-110
栏目:
自动化
出版日期:
1999-03-20

文章信息/Info

Title:
Transfer Algorithm to Fuzzy Clustering Analysis
作者:
吴福保 李奇 宋文忠
东南大学自动化研究所, 南京 210096
Author(s):
Wu Fubao Li Qi Song Wenzong
Research Institute of Automation,Southeast University ,Nanjing 210096
关键词:
模糊 聚类分析 传递算法
Keywords:
fuzziness clustering analysis transfer algorithm
分类号:
TP18
DOI:
10.3969/j.issn.1001-0505.1999.02.020
摘要:
针对常规模糊聚类分析在改造模糊相似关系时存在的复杂矩阵幂乘运算问题,提出了模糊聚类分析的传递算法,通过设置置信水平λ,直接从模糊相似关系获得聚类结果,并证明该方法与传递闭包法等价,但时间复杂度和空间复杂度都要远远小于传递闭包法.
Abstract:
This paper proposes a new transfer algorithm to fuzzy clustering analysis with respect to the problem of complex operation of matrix synthesis when reconstructing fuzzy analogical relation to fuzzy equivalence relation .By setting the threshold to λ, we get the clustering results from fuzzy analogical relation directly. The transfer algorithm is equivalent to transfer closure algorithm, but its asymptotic time complexity and space complexity is superior to the latter.

参考文献/References:

[1] 韩正忠,方宁生.模糊数学应用.南京:东南大学出版社,1993.1~20
[2] 沈清,汤霖.模式识别导论.长沙:国防科技大学出版社,1991.90~100
[3] 吴望名.弗晰图与弗晰树.数学的实践与认识,1980(4):13~16
[4] 赵汝怀.弗晰聚类的编网法.西安交通大学学报,1980(4):43~47

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备注/Memo

备注/Memo:
基金项目: 本文获东南大学校科研资金资助(K97033).
第一作者:男,1972年生,博士研究生.
更新日期/Last Update: 1999-03-20