Graded dominance and related graded properties of fuzzy connectives

Libor Běhounek, Ulrich Bodenhofer, Petr Cintula, Susanne Saminger-Platz, Peter Sarkoci

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.

Original languageEnglish
Pages (from-to)78-101
Number of pages24
JournalFuzzy Sets and Systems
Publication statusPublished - 1 Mar 2015
Externally publishedYes


  • Dominance
  • Fuzzy Class Theory
  • Fuzzy connective
  • Fuzzy relation


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