• DocumentCode
    3318016
  • Title

    Aggregation Operators and the Lipschitzian Condition

  • Author

    Jacas, J. ; Recasens, J.

  • Author_Institution
    Univ. Politecnica de Catalunya, Barcelona
  • fYear
    2007
  • fDate
    23-26 July 2007
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Lipschitzian and kernel aggregation operators with respect to the natural T-indistinguishability operator Et and their powers are studied. A t-norm T is proved to be E T -Lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an Archimedean t-norm T with additive generator t, the quasi-arithmetic mean generated by t is proved to be the most stable aggregation operator with respect to T.
  • Keywords
    fuzzy set theory; inference mechanisms; Lipschitzian condition; additive generator; fuzzy map; kernel aggregation operators; natural T-indistinguishability operator; quasiarithmetic mean; Algebra; Fuzzy logic; Fuzzy reasoning; Kernel; Power generation; Stability; Topology;
  • 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.2007.4295514
  • Filename
    4295514
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3318016