• DocumentCode
    2730326
  • 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.
  • Volume
    1
  • fYear
    0
  • fDate
    0-0 0
  • Firstpage
    3168
  • Lastpage
    3172
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
  • Conference_Location
    Dalian
  • Print_ISBN
    1-4244-0332-4
  • Type

    conf

  • DOI
    10.1109/WCICA.2006.1712951
  • Filename
    1712951