DocumentCode
3519777
Title
A Novel Representation of Fuzzy Equivalence Relation
Author
Deng, Guannan ; Jiang, Yanli
Author_Institution
Sch. of Sci., Northeast Dianli Univ., Jilin, China
fYear
2011
fDate
28-29 May 2011
Firstpage
1
Lastpage
4
Abstract
In order to construct fuzzy equivalence relation conveniently,in this paper, we study on the representation of fuzzy equivalent relation. On the basis of resolution structure theory (H. X. Li, Fuzzy clustering method based on perturbation, Fuzzy Sets and Systems vol. 33, pp. 291-302, 1989.),we construct two diagrams named parameter system and resolution system. And we propose and prove that the parameter system and its corresponding resolution can be used to represent a fuzzy equivalence relation. In addition,we also give two construction algorithms,and study the properties of them.
Keywords
fuzzy set theory; fuzzy equivalence relation; parameter system; resolution structure theory; Binary trees; Clustering methods; Equations; Fuzzy sets; Programming; Tin;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems and Applications (ISA), 2011 3rd International Workshop on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-9855-0
Electronic_ISBN
978-1-4244-9857-4
Type
conf
DOI
10.1109/ISA.2011.5873300
Filename
5873300
Link To Document