Basic generated universal fuzzy measures

  • Authors:
  • R. Mesiar;A. Mesiarová-Zemánková;L'. Valášková

  • Affiliations:
  • Slovak University of Technology, Radlinského 11, 81368 Bratislava, Slovakia and Institute for Research and Application of Fuzzy Modelling, University of Ostrava, Czech Republic;Mathematical Institute of SAS, Štefánikova 49, 81473 Bratislava, Slovakia;Slovak University of Technology, Radlinského 11, 81368 Bratislava, Slovakia

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

The concept of basic generated universal fuzzy measures is introduced. Special classes and properties of basic 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 fuzzy integral-based aggregation operators are introduced, including the generated OWA operators.