The Semantic Distance, Fuzzy Dependency and Fuzzy Formulas

In this paper we establish a connection between one fragment fuzzy logic and the theory of fuzzy functional dependencies on the basic of the semantic distance. We give a way to interpret fuzzy functional dependencies as formulas in fuzzy logic. For a set of fuzzy dependencies $F$ and single fuzzy fu...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 2; no. 2; pp. 137 - 146
Main Author Dukić, Nedžad
Format Journal Article
LanguageEnglish
Published 12.06.2024
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Summary:In this paper we establish a connection between one fragment fuzzy logic and the theory of fuzzy functional dependencies on the basic of the semantic distance. We give a way to interpret fuzzy functional dependencies as formulas in fuzzy logic. For a set of fuzzy dependencies $F$ and single fuzzy functional dependency $f,$ we show that $F$ implies $f$ as fuzzy functional dependencies if and only if $F$ implies $f$ under the logic interpretation.   2000 Mathematics Subject Classification. 03B52
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.02.2.01