Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems
ACM Transactions on Database Systems (TODS)
Principles of database and knowledge-base systems, Vol. I
Principles of database and knowledge-base systems, Vol. I
An equivalence classes model of fuzzy relational databases
Fuzzy Sets and Systems - On fuzzy information and database systems
The fuzzy functional dependency on the basis of the semantic distance
Fuzzy Sets and Systems
Fuzzy logic in data modeling: semantics, constraints, and database design
Fuzzy logic in data modeling: semantics, constraints, and database design
Fuzzy Logic and the Resolution Principle
Journal of the ACM (JACM)
On Databases with Incomplete Information
Journal of the ACM (JACM)
A fuzzy logic with interval truth values
Fuzzy Sets and Systems
A relational model of data for large shared data banks
Communications of the ACM
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In this paper we establish equivalence between a theory of fuzzy functional dependences and a fragment of fuzzy logic. We give a way to interpret fuzzy functional dependences as formulas in fuzzy logic. This goal is realized in four steps. Truth assignment of attributes is defined in terms of closeness between two tuples in a fuzzy relation. A corresponding fuzzy formula is associated to a fuzzy functional dependence. It is proved that if a relation satisfies a fuzzy functional dependence, then the corresponding fuzzy formula is satisfied and vice verse. Finally, equivalence of a fuzzy formulas and a set fuzzy functional dependence is demonstrated. Thus we are in position to apply the rule of resolution from fuzzy logic, while calculating fuzzy functional dependences.