The Fuzzy Clustering Analysis Based on AFS Structure and the Topology of EI Algebra
Rui Ding, Xiaodong Liu · 2006
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.