Graded dominance and related graded properties of fuzzy connectives

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

Research output: Contribution to journalArticlepeer-review

Abstract

Graded properties of binary and unary fuzzy connectives 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
Volume262
DOIs
Publication statusPublished - Mar 2015

Fields of science

  • 303 Health Sciences
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JKU Focus areas

  • Computation in Informatics and Mathematics
  • Nano-, Bio- and Polymer-Systems: From Structure to Function
  • Medical Sciences (in general)
  • Health System Research
  • Clinical Research on Aging

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