Fuzzy connectives via matrix logic

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

An approach to the definition of fuzzy logical connectives is proposed using matrix logic. This matrix representation of Boolean logical operators enables us to link together conjunction, disjunction and negation differently from the traditional De Morgan law. In this framework the Frank family appears as the only possibility. In addition, the parameters in conjuntion and in disjunction are reciprocal to each other. The usefulness of this case is illustrated by two applications.

Original languageEnglish
Pages (from-to)67-77
Number of pages11
JournalFuzzy Sets and Systems
Volume56
Issue number1
DOIs
Publication statusPublished - May 25 1993

Keywords

  • Frank family
  • Matrix logic
  • t-conorms
  • t-norms

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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