On fuzzy implication operators

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162 Citations (Scopus)

Abstract

There exist several constructions for fuzzy implication operators via conjunctions. In this paper we present a unifying approach to the generation of implications and we prove that for a rather general class of conjuctions the generation process is closed. In addition, all well-known families of fuzzy implications are within our framework. The results support that the class of weak t-norms having the Exchange Property seems to be a good model of the conjunction (or equivalently, of intersection) operator in fuzzy set theory.

Original languageEnglish
Pages (from-to)293-300
Number of pages8
JournalFuzzy Sets and Systems
Volume42
Issue number3
DOIs
Publication statusPublished - Aug 15 1991

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Keywords

  • Conjunction
  • implication
  • negation
  • t-conorm
  • t-norm
  • weak t-norm

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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