Isotone fuzzy Galois connections with hedges

  • Authors:
  • Jan Konecny

  • Affiliations:
  • Palacky University, Department of Computer Science, tr. 17. listopadu 12, Olomouc 771 46, Czech Republic

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

Quantified Score

Hi-index 0.07

Visualization

Abstract

We study isotone fuzzy Galois connections and concept lattices parameterized by particular unary operators. The operators represent linguistic hedges such as ''very'', ''rather'', ''more or less'', etc. Isotone fuzzy Galois connections and concept lattices provide an alternative to their antitone counterparts which are the fundamental structures behind formal concept analysis of data with fuzzy attributes. We show that hedges enable us to control the number of formal concepts in the associated concept lattice. We also describe the structure of the concept lattice and provide a counterpoint to the main theorem of concept lattices.