Hierarchical Structures Based on Fuzzy Similarity Relation

被引：1
|
作者：
Wu, Mingfen [1 ]
Shen, Ting [1 ]
Wu, Xianwei [1 ]
Cao, Cungen [2 ]
机构：
[1] Wuyi Univ, Informat Coll, Jiangmen, Guangdong, Peoples R China
[2] Chinese Acad Sci, Inst Comp Technol, Beijing, Peoples R China
来源：
INTERNATIONAL CONFERENCE ON FUTURE COMPUTER AND COMMUNICATIONS, PROCEEDINGS | 2009年
基金：
中国国家自然科学基金;
关键词：
quotient space; fuzzy equivalence relation; hierarchical structure; fuzzy similarity relation; fuzzy matrix; cut-matrix; transitive closure;
D O I：
10.1109/ICFCC.2009.49
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, on the basis of fuzzy quotient space theory, a theoretical framework of hierarchical structures based on fuzzy similarity relations by fuzzy matrices is proposed. The first, the strictly matrix description is introduced to hierarchical structures by a fuzzy similarity relation induced, and we proved the same hierarchical structures by the fuzzy similarity relation induced in two ways of composition; Secondly, the effective algorithm of getting their hierarchical structures by matrices is proposed, and we get some interesting properties. The algorithm has been validated by an example, and we have an analysis of the computational complexity.
引用
收藏
页码：172 / +
页数：2
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