Lipschitzian De Morgan triplets of fuzzy connectives

  • Authors:
  • Anna Kolesárová;Radko Mesiar

  • Affiliations:
  • Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, SK-812 37 Bratislava, Slovakia;Department of Mathematics and Descriptive Geometry, Slovak University of Technology, SK-813 68 Bratislava, Slovakia and Institute for Research and Applications of Fuzzy Modeling, University of Ost ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

After studying Lipschitzian strong negations, Lipschitzian De Morgan triplets (T,S,n), where T is a triangular norm, S a triangular conorm, and n a strong negation, are investigated. The relationships between the best Lipschitzian constants of functions T, S and n are given. Several examples are included.