• DocumentCode
    1937359
  • Title

    On Choquet Integrals of Fuzzy-Valued Functions with Respect to Fuzzy-Valued Fuzzy Measures

  • Author

    Guo, Cai-mei ; Zhang, De-li

  • Author_Institution
    Changchun Univ., Jilin
  • Volume
    7
  • fYear
    2007
  • fDate
    19-22 Aug. 2007
  • Firstpage
    3653
  • Lastpage
    3656
  • Abstract
    Recently, Mesiar[6] suggested that, as a generalization linked to the standard fuzzy measure, set-valued[4] or fuzzy-valued fuzzy measures[10] should be given a deep investigation. In the paper, a continuation in the research on choquet integrals valued in fuzzy number sets is further showed. Its integrand is a fuzzy-valued function, and the measure is a fuzzy-valued fuzzy measure. The definition, properties and convergence theorems are obtained.
  • Keywords
    convergence; fuzzy set theory; integral equations; number theory; Choquet integral; convergence; fuzzy number set; fuzzy-valued function; fuzzy-valued fuzzy measure; Art; Convergence; Cybernetics; Fuzzy sets; Machine learning; Mathematics; Measurement standards; Choquet integral; Convergence theorem; Fuzzy number; Fuzzy-valued function; Fuzzy-valued fuzzy measure;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2007 International Conference on
  • Conference_Location
    Hong Kong
  • Print_ISBN
    978-1-4244-0973-0
  • Electronic_ISBN
    978-1-4244-0973-0
  • Type

    conf

  • DOI
    10.1109/ICMLC.2007.4370781
  • Filename
    4370781