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2007 IEEE International Conference on Granular Computing (GRC 2007)
On Consistency of Fuzzy Clustering Analysis
San Jose, California
November 02-November 04
ISBN: 0-7695-3032-X
ASCII Text
x 
 
Cheng-yi Zhang, Bencheng Wei, Guohui Chen, "On Consistency of Fuzzy Clustering Analysis," Granular Computing, IEEE International Conference on, pp. 110, 2007 IEEE International Conference on Granular Computing (GRC 2007), 2007.
 
 
BibTex
x
 
@article{ 10.1109/GrC.2007.44,
author = {Cheng-yi Zhang and Bencheng Wei and Guohui Chen},
title = {On Consistency of Fuzzy Clustering Analysis},
journal ={Granular Computing, IEEE International Conference on},
volume = {0},
year = {2007},
isbn = {0-7695-3032-X},
pages = {110},
doi = {http://doi.ieeecomputersociety.org/10.1109/GrC.2007.44},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Granular Computing, IEEE International Conference on
TI - On Consistency of Fuzzy Clustering Analysis
SN - 0-7695-3032-X
SP
EP
A1 - Cheng-yi Zhang,
A1 - Bencheng Wei,
A1 - Guohui Chen,
PY - 2007
VL - 0
JA - Granular Computing, IEEE International Conference on
ER -
 
and homomorphism of fuzzy sets (fuzzy relation), gives sufficient and necessary conditions of isomorphism and homomorphism of fuzzy sets (fuzzy relation). Fortunately, we point that the essence of fuzzy sets (fuzzy relations) in X ,which give the order relation of elements in X( X X ? ).As long as the corresponding order relations are consistent, conclusions from any fuzzy membership function(fuzzy relation) defined by the order relation are certainly same. We propose the concept of classified isomorphism of the fuzzy relation and prove that if two fuzzy similarity relation are isomorphic, then they must be isomorphic classified by the concept of isomorphic classification of fuzzy relation. Keywords--Fuzzy clustering, Fuzzy relation, Isomorphic Classification, Order relation
Citation:
Cheng-yi Zhang, Bencheng Wei, Guohui Chen, "On Consistency of Fuzzy Clustering Analysis," grc, pp.110, 2007 IEEE International Conference on Granular Computing (GRC 2007), 2007
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