DocumentCode
1240250
Title
Fuzzy hypergraph and fuzzy partition
Author
Lee-Kwang, Hyung ; Lee, Keon-Myung
Author_Institution
Dept. of Comput. Sci., Korea Adv. Inst. of Sci. & Technol., Taejon, South Korea
Volume
25
Issue
1
fYear
1995
fDate
1/1/1995 12:00:00 AM
Firstpage
196
Lastpage
201
Abstract
In this paper, the concept of hypergraph is extended to the fuzzy hypergraph. In the fuzzy hypergraph, the concepts of α-cut hypergraph, strength of edge and dual fuzzy hypergraph are developed. It is shown that the fuzzy hypergraph and α-cut hypergraph are useful to represent a fuzzy partition. An application example also shows that the strength of edge can be used to decompose the data set in a clustering problem
Keywords
duality (mathematics); fuzzy set theory; graph theory; α-cut hypergraph; clustering; data set decomposition; dual fuzzy hypergraph; edge strength; fuzzy partition; Application software; Artificial intelligence; Circuit analysis; Computer science; Fuzzy sets; Fuzzy systems; Marine vehicles; Pattern analysis; Pattern recognition; Terminology;
fLanguage
English
Journal_Title
Systems, Man and Cybernetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9472
Type
jour
DOI
10.1109/21.362951
Filename
362951
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