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

  • Authors:
  • J. -L. Marichal;P. Mathonet

  • Affiliations:
  • Dept. of Manage., Liege Univ.;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1999

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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)