FUZZY-CONNECTIVES VIA MATRIX LOGIC

Authors
FODOR JC
Citation
Jc. Fodor, FUZZY-CONNECTIVES VIA MATRIX LOGIC, Fuzzy sets and systems, 56(1), 1993, pp. 67-77
Citations number
12
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
56
Issue
1
Year of publication
1993
Pages
67 - 77
Database
ISI
SICI code
0165-0114(1993)56:1<67:FVML>2.0.ZU;2-X
Abstract
An approach to the definition of fuzzy logical connectives is proposed using matrix logic. This matrix representation of Boolean logical ope rators enables us to link together conjunction, disjunction and negati on differently from the traditional De Morgan law. In this framework t he Frank family appears as the only possibility. In addition, the para meters in conjunction and in disjunction are reciprocal to each other. The usefulness of this case is illustrated by two applications.