• DocumentCode
    441875
  • Title

    Choquet integrals on fuzzy sets

  • Author

    Wu, Cong-Xin ; Huang, Yan

  • Author_Institution
    Dept. of Math., Harbin Inst. of Technol., China
  • Volume
    4
  • fYear
    2005
  • fDate
    18-21 Aug. 2005
  • Firstpage
    2438
  • Abstract
    In this paper a new kind of Choquet integrals on fuzzy sets is introduced, and some elementary properties of this kind of Choquet integrals are studied. Convergence theorems of a sequence of Choquet integrals on fuzzy sets are shown. A transformation theorem is given, which reveals the relation between the Choquet integrals on fuzzy sets and the Choquet integrals on classical crisp sets.
  • Keywords
    algebra; convergence; fuzzy set theory; Choquet integrals; convergence theorems; fuzzy sets; transformation theorem; Algebra; Area measurement; Convergence; Data mining; Fuzzy set theory; Fuzzy sets; Image processing; Machine learning; Mathematics; Pattern recognition; Choquet integral; Fuzzy algebra; crisp null-subtractive; fuzzy measure; monotone convergence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
  • Conference_Location
    Guangzhou, China
  • Print_ISBN
    0-7803-9091-1
  • Type

    conf

  • DOI
    10.1109/ICMLC.2005.1527353
  • Filename
    1527353