• DocumentCode
    1473380
  • Title

    A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property

  • Author

    Marichal, Jean-Luc ; Mathonet, Pierre

  • Author_Institution
    Dept. of Manage., Liege Univ., Belgium
  • Volume
    7
  • Issue
    1
  • fYear
    1999
  • fDate
    2/1/1999 12:00:00 AM
  • Firstpage
    93
  • Lastpage
    96
  • Abstract
    This paper deals with the characterization of a class of aggregation operators. This class concerns operators that are symmetric, increasing, stable for the same positive linear transformations, and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators introduced by Yager (1988)
  • Keywords
    decision theory; fuzzy set theory; invariance; management science; aggregation operators; bisymmetry; decision making; fuzzy integrals; interval scales; invariance; ordered weighted averaging functions; Area measurement; Arithmetic; Decision making; Length measurement; Mathematics; Open wireless architecture; Stability; Volume measurement;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/91.746319
  • Filename
    746319