A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations

2001-01-15
Sozat, MI
Yazıcı, Adnan
This paper first introduces the formal definitions of fuzzy functional and multivalued dependencies which are given on the basis of the conformance values presented here. Second, the inference rules are listed after both fuzzy functional and multivalued dependencies are shown to be consistent, that is, they reduce to those of the classic functional and multivalued dependencies when crisp attributes are involved. Finally, the inference rules presented here are shown to be sound and complete for the family of functional and multivalued dependencies in fuzzy database relations.
FUZZY SETS AND SYSTEMS

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A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations
Yazıcı, Adnan (1996-09-11)
In this paper we first introduce a new definition for the conformance of tuples existing in a fuzzy database relation. Then we give the formal definitions of fuzzy functional and multivalued dependencies on the basis of the conformance values presented here. Secondly, we list the inference rules after showing that both fuzzy functional and multivalued dependencies are consistent, that is, they reduce to those of the classic functional and multivalued dependencies when crisp attributes are involved. Finally,...
Citation Formats
M. Sozat and A. Yazıcı, “A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations,” FUZZY SETS AND SYSTEMS, pp. 161–181, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62451.