An analytic approach for obtaining maximal entropy OWA operator weights

Robert Fullér, Péter Majlender

Research output: Contribution to journalArticle

288 Citations (Scopus)

Abstract

One important issue in the theory of ordered weighted averaging (OWA) operators is the determination of the associated weights. One of the first approaches, suggested by O'Hagan, determines a special class of OWA operators having maximal entropy of the OWA weights for a given level of orness; algorithmically it is based on the solution of a constrained optimization problem. In this paper, using the method of Lagrange multipliers, we shall solve this constrained optimization problem analytically and derive a polynomial equation which is then solved to determine the optimal weighting vector.

Original languageEnglish
Pages (from-to)53-57
Number of pages5
JournalFuzzy Sets and Systems
Volume124
Issue number1
DOIs
Publication statusPublished - Nov 16 2001

Keywords

  • Degree of orness
  • Dispersion
  • OWA operator

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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