• DocumentCode
    3637306
  • Title

    Extended Chebyshev type inequality for Sugeno integral

  • Author

    H. Román-Flores;A. Flores-Franulic;Hamzeh Agahi

  • Author_Institution
    IAI, Universidad de Tarapacá
  • fYear
    2010
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    An extended Chebyshev type inequality for the Sugeno integral on abstract spaces is studied. More precisely, necessary and sufficient conditions under which the inequality, ∫AΦ(f ⋆ g)dµ ≥ (∫AΦ(f)dµ) ⋆ (∫A Φ(g)dµ) or its reverse hold for an arbitrary fuzzy measure-based type Sugeno integral µ and a binary operation ⋆: [0, ∞)2 → [0, ∞) and a nonnegative function Φ : [0, ∞) → [0, ∞), are given.
  • Keywords
    "Chebyshev approximation","Extraterrestrial measurements","Fuzzy sets","Sufficient conditions","Particle measurements"
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
  • Print_ISBN
    978-1-4244-7859-0
  • Type

    conf

  • DOI
    10.1109/NAFIPS.2010.5548189
  • Filename
    5548189
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3637306