Characterization of the Ordered Weighted Averaging Operators

Janos Fodor, Jean Luc Marichal, Marc Roubens

Research output: Contribution to journalArticle

247 Citations (Scopus)

Abstract

This paper deals with the characterization of two classes of monotonic and neutral (MN) aggregation operators. The first class corresponds to (MN) aggregators which are stable for the same positive linear transformations and present the ordered linkage property. The second class deals with (MN)-idempotent aggregators which are stable for positive linear transformations with same unit, independent zeroes and ordered values. These two classes correspond to the weighted ordered averaging operator (OWA) introduced by Yager in 1988. It is also shown that the OWA aggregator can be expressed as a Choquet integral.

Original languageEnglish
Pages (from-to)236-240
Number of pages5
JournalIEEE Transactions on Fuzzy Systems
Volume3
Issue number2
DOIs
Publication statusPublished - May 1995

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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