Generated universal fuzzy measures

  • Authors:
  • Radko Mesiar;Andrea Mesiarová;L'ubica Valášková

  • Affiliations:
  • Slovak University of Technology, Bratislava, Slovakia;Mathematical Institute of SAS, Bratislava, Slovakia;Slovak University of Technology, Bratislava, Slovakia

  • Venue:
  • MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
  • Year:
  • 2006

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Abstract

The concepts of generated universal fuzzy measures and of basic generated universal fuzzy measures are introduced. Special classes and properties of generated universal fuzzy measures are discussed, especially the additive, the symmetric and the maxitive case. Additive (symmetric) basic universal fuzzy measures are shown to correspond to the Yager quantifier-based approach to additive (symmetric) fuzzy measures. The corresponding Choquet integral-based aggregation operators are then generated weighted means (generated OWA operators).