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An application of fuzzy graphs in database theory. (English) Zbl 0736.68023

Summary: This paper shows a natural extension of data dependencies of relational databases to fuzzy relational databases. We define the truth value of a functional dependency in a fuzzy relational database and some of its properties are shown. The truth value determines its closure, which is a fuzzy relation on \(U^ 2\). This defines a closure on fuzzy subsets of \(U\). An algorithm, using fuzzy graphs is given to compute the closure.

MSC:

68P15 Database theory
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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