• DocumentCode
    692461
  • Title

    A New Fuzzy Clustering Validity Index Based on Fuzzy Proximity Matrices

  • Author

    Valente, Rafael Xavier ; Braga, Antonio Padua ; Pedrycz, Witold

  • Author_Institution
    Grad. Program in Electr. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil
  • fYear
    2013
  • fDate
    8-11 Sept. 2013
  • Firstpage
    489
  • Lastpage
    494
  • Abstract
    This paper presents a new validity index for fuzzy partitions generated by the fuzzy c-means algorithm. The proposed validity index is based on the calculation of factors from the proximity matrix generated from the membership matrix generated by a fuzzy clustering partition algorithm, such as FCM. The experimental results show that the proposed approach is consistent with other well-known metrics and with the dataset structure as observed from Proximity Matrices.
  • Keywords
    fuzzy set theory; matrix algebra; pattern clustering; statistical analysis; dataset structure; fuzzy c-means algorithm; fuzzy clustering partition algorithm; fuzzy clustering validity index; fuzzy partition validity index; fuzzy proximity matrices; membership matrix; Clustering algorithms; Equations; Indexes; Iris; Linear programming; Partitioning algorithms; Symmetric matrices; Clustering Validation Index; Fuzzy Clustering; Proximity Matrix;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and 11th Brazilian Congress on Computational Intelligence (BRICS-CCI & CBIC), 2013 BRICS Congress on
  • Conference_Location
    Ipojuca
  • Type

    conf

  • DOI
    10.1109/BRICS-CCI-CBIC.2013.87
  • Filename
    6855896