• DocumentCode
    3092841
  • Title

    On lower and upper Choquet integrals

  • Author

    Guo, Cai-mei ; Zhang, De-li

  • Author_Institution
    Dept. of Phys. Sci., Changchun Univ., Changchun, China
  • Volume
    3
  • fYear
    2009
  • fDate
    12-15 July 2009
  • Firstpage
    1783
  • Lastpage
    1787
  • Abstract
    The present paper based on the outer fuzzy measure and inner fuzzy measure defines the upper and lower Choquet integrals, such that the Choquet integral is extended to the case of non-measurable functions. Some properties are shown, and upper and lower Lebesgue integrals are obtained.
  • Keywords
    fuzzy set theory; integral equations; inner fuzzy measure; lower Choquet integrals; lower Lebesgue integrals; outer fuzzy measure; upper Choquet integrals; upper Lebesgue integrals; Cybernetics; Data mining; Decision making; Extraterrestrial measurements; Fuzzy sets; Machine learning; Mathematics; Physics; Choquet integral; Fuzzy measure; Inner fuzzy measure; Outer fuzzy measure;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2009 International Conference on
  • Conference_Location
    Baoding
  • Print_ISBN
    978-1-4244-3702-3
  • Electronic_ISBN
    978-1-4244-3703-0
  • Type

    conf

  • DOI
    10.1109/ICMLC.2009.5212273
  • Filename
    5212273