WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 14, 2019
On Fuzzy Dependencies and g-Generated Fuzzy Implications in Fuzzy Relations
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Abstract: In this paper we use the g-generated fuzzy implications to research the concept of automatization in the process of derivation of new fuzzy functional and fuzzy multivalued dependencies from some given set of fuzzy functional and fuzzy multivalued dependencies. The formal definitions of fuzzy functional and fuzzy multivalued dependencies that we apply are based on application of similarity relations and conformance values. In this context, the paper follows similarity based fuzzy relational database approach. In order derive and then apply our results, we identify fuzzy dependencies with fuzzy formulas. The obtained results are verified through the resolution principle.
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Keywords: Fuzzy conjunctions, disjunctions and implications, g-implications, inference rules, resolution principle, fuzzy formulas, fuzzy functional and multivalued dependencies
Pages: 71-89
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 14, 2019, Art. #10