Monadic L-fuzzy quantifiers of the type

  • Authors:
  • Michal Holčapek

  • Affiliations:
  • Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30, dubna 22, 701 03 Ostrava 1, Czech Republic

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

The aim of this paper is to introduce monadic L-fuzzy quantifiers of the type and investigate some of their semantic properties that are well-known in generalized quantifier theory. Relationships between the properties of generalized quantifiers are also studied for monadic L-fuzzy quantifiers. Finally, a property ''to be extensional with respect to a given L-permutation equivalence'' is proposed and some properties are shown.