• DocumentCode
    3316523
  • Title

    Distances defined by Choquet integral

  • Author

    Narukawa, Yasuo

  • Author_Institution
    Toho Gakuen, Tokyo
  • fYear
    2007
  • fDate
    23-26 July 2007
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Some important inequalities in functional analysis are shown for the non-additive measure theory. As an application of the inequalities, the distances between fuzzy sets, which are generalisations of well-known distances, are introduced.
  • Keywords
    functional analysis; fuzzy set theory; integral equations; Choquet integral; functional analysis; fuzzy set theory; nonadditive measure theory; Books; Extraterrestrial measurements; Functional analysis; Fuzzy set theory; Fuzzy sets; Image analysis; Image processing; Image recognition; Integral equations; Random variables; Choquet integral; Distances of fuzzy sets; Hausdorff metric; Non-additive measure; fuzzy measure;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
  • Conference_Location
    London
  • ISSN
    1098-7584
  • Print_ISBN
    1-4244-1209-9
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2007.4295419
  • Filename
    4295419