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 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