Elsevier

Fuzzy Sets and Systems

Volume 117, Issue 2, 16 January 2001, Pages 161-181
Fuzzy Sets and Systems

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

https://doi.org/10.1016/S0165-0114(98)00152-3Get rights and content

Abstract

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.

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      On the other hand, expressions like significant dependency, very strong dependency, medium dependency, almost no dependency etc. are valuable insights into data. Sözat and Yazici (2001) introduced the formal definition of conformance which is given on the basis of proximity between the linguistic terms. Additionally, this approach provides a possibility to calculate conformance when attribute values are a subset of the attribute domain (e.g., {very young, young}).

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