On the Boolean structure of fuzzy logical systems a counter example /

The article of Murthy, Pal and Majumder [l] gives a new interpretation of the connectives in fuzzy sets claiming that these connectives preserve the whole Boolean structure of ordinary set theoretic operations. In our paper a counter example is given where the property of associativity is not valid...

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Bibliographic Details
Main Authors: Dombi József
Lencsés Gy
Format: Article
Published: 1992
Series:Acta cybernetica 10 No. 4
Kulcsszavak:Számítástechnika, Kibernetika
Subjects:
Online Access:http://acta.bibl.u-szeged.hu/12515
Description
Summary:The article of Murthy, Pal and Majumder [l] gives a new interpretation of the connectives in fuzzy sets claiming that these connectives preserve the whole Boolean structure of ordinary set theoretic operations. In our paper a counter example is given where the property of associativity is not valid for the new connectives.
Physical Description:317-322
ISSN:0324-721X