DocumentCode
2619939
Title
Fuzzy sets and quotient spaces
Author
Cheng-Yi, Zhang
Author_Institution
Dept. of Comput. Sci., Hainan Normal Univ., China
Volume
1
fYear
2005
fDate
25-27 July 2005
Firstpage
350
Abstract
This paper discussed the relation between FS and QS by theory of the isomorphism and homomorphism of fuzzy sets, and two main conclusions are reached. Firstly, for any group of fuzzy sets which are isomorphic, a quotient space could be defined uniquely, and a quotient structure space is determined. Secondly, for any group of fuzzy relations which are isomorphic, similarly a fuzzy quotient space could be defined uniquely, and a fuzzy quotient structure space is determined. Moreover, the construction of fuzzy quotient space is given. Finally, we discussed their related properties.
Keywords
fuzzy set theory; fuzzy quotient structure space; fuzzy set theory; homomorphism theory; isomorphism theory; Application software; Cognition; Computer science; Data mining; Fuzzy set theory; Fuzzy sets; Gold; Humans; Set theory; Topology; fuzzy equivalent relation; fuzzy set theory; granule computing; quotient space theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Granular Computing, 2005 IEEE International Conference on
Print_ISBN
0-7803-9017-2
Type
conf
DOI
10.1109/GRC.2005.1547302
Filename
1547302
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