Title :
The Fuzzy Clustering Analysis Based on AFS Structure and the Topology of EI Algebra
Author :
Ding, Rui ; Liu, Xiaodong
Author_Institution :
Dept. of Math., Dalian Maritime Univ.
Abstract :
In this paper, firstly, we study the topology molecular lattice on *EI algebra over some concepts in the framework of AFS theory, and give the topology on the object set induced by the topology molecular lattice generated by some fuzzy concepts. Secondly we apply the topology to define a fuzzy similar relation on the object sets, and the fuzzy clustering analysis is studied based on the proposed fuzzy similarity. The examples shows that the clustering results are similar to human intuition
Keywords :
algebra; fuzzy set theory; pattern clustering; *EI algebra; axiomatic fuzzy set structure; fuzzy clustering analysis; fuzzy similar relation; topology molecular lattice; Algebra; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Information analysis; Lattices; Mathematics; Paper technology; Topology; AFS theory; Fuzzy Clusters; similar relation; the topology on;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712951
