Title :
A Novel Representation of Fuzzy Equivalence Relation
Author :
Deng, Guannan ; Jiang, Yanli
Author_Institution :
Sch. of Sci., Northeast Dianli Univ., Jilin, China
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;
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
DOI :
10.1109/ISA.2011.5873300
