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Fuzzy connectives via matrix logic

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
56
Issue
1
Identifiers
DOI: 10.1016/0165-0114(93)90186-l
Keywords
  • Matrix Logic
  • T-Norms
  • T-Conorms
  • Frank Family

Abstract

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.

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