• Article
  • | |
  • Metrics
  • |
  • Reference [12]
  • |
  • Related [20]
  • |
  • Cited by [3]
  • | |
  • Comments
    Abstract:

    In this paper, on the basis of fuzzy quotient space theory, cluster analysis methods based on fuzzy similarity relations and normalized distance are proposed to solve data structure analysis of complex systems. Three conclusions are given: (1) the strictly clustering analysis theoretical description by introducing hierarchical structures of fuzzy similarity relation and normalized distance; (2) the effective and rapid clustering algorithms of their hierarchical structures; (3) a sufficient condition for isomorphic hierarchical structures. These conclusions are suitable to data structure analysis of all complex systems based on similarity relation.

    Reference
    [1]Liang GS,Chou TY,Han TC.Cluster analysis based on fuzzy equivalence relation.European Journal of Operational Research,2005,166:160-171.
    [2]Wu CZ.Introduction of Fuzzy Set (I).Beijing:Beijing Normal University Press,1984.100-168 (in Chinese).
    [3]Lee HS.An optimal algorithm for computing the max-min transitive closure of a fuzzy similarity matrix.Fuzzy Sets and Systems,2001,123:129-136.
    [4]He Q,Li HX,Shi ZZ,Lee ES.Fuzzy clustering method based on perturbation.Computers and Mathematics with Applications,2003,46:929-946.
    [5]Fu GY.Optimization methods for fuzzy clustering.Fuzzy Sets and Systems,1998,93:301-309.
    [6]Hung WL,Yang MS.Fuzzy clustering on lr-type fuzzy numbers with an application in Taiwanese tea evaluation.Fuzzy Sets and Systems,2005,150:561-577.
    [7]Kamimura H,Kurano M.Clustering by a fuzzy metric.Fuzzy Sets and Systems,2001,120:249-254.
    [8]Tsekouras G,Sarimveis H,Kavakli E,Bafas G.A hierarchical fuzzy-clustering approach to fuzzy modeling.Fuzzy Sets and Systems,2005,150:245-266.
    [9]Zhang L,Zhang B.The structure analysis of fuzzy sets.Int'l Journal Approx.Reason,2005,40:92-108.
    [10]Zhang B,Zhang L.The Theory and Applications of Problem Solving.Beijing:Tsinghua University Press,1990.35-86 (in Chinese).
    [11]Zhang L,Zhang B.Fuzzy quotient space theory (fuzzy granule computing methods).Journal of Software,2003,14(4):770-776 (in Chinese with English Abstract).http://www.jos.org.cn/1000-9825/14/770.htm
    [12]Zhang L,Zhang B.Quotient space theory of problem solving.Fundamenta Informaticae,2001,XXI:1001-1012.
    Comments
    Comments
    分享到微博
    Submit
Get Citation

唐旭清,朱 平,程家兴.基于模糊商空间的聚类分析方法.软件学报,2008,19(4):861-868

Copy
Share
Article Metrics
  • Abstract:4755
  • PDF: 6972
  • HTML: 0
  • Cited by: 0
History
  • Received:September 13,2006
  • Revised:January 24,2007
You are the first2045009Visitors
Copyright: Institute of Software, Chinese Academy of Sciences Beijing ICP No. 05046678-4
Address:4# South Fourth Street, Zhong Guan Cun, Beijing 100190,Postal Code:100190
Phone:010-62562563 Fax:010-62562533 Email:jos@iscas.ac.cn
Technical Support:Beijing Qinyun Technology Development Co., Ltd.

Beijing Public Network Security No. 11040202500063