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.
| Original language | English |
|---|---|
| Pages (from-to) | 161-181 |
| Number of pages | 21 |
| Journal | Fuzzy Sets and Systems |
| Volume | 117 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jan 16 2001 |
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Keywords
- Conformance
- Fuzzy functional dependency
- Fuzzy multivalued dependency
- Fuzzy relational database
ASJC Scopus subject areas
- Logic
- Artificial Intelligence
Cite this
A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations. / Sözat, Mustafa Ilker; Yazici, Adnan.
In: Fuzzy Sets and Systems, Vol. 117, No. 2, 16.01.2001, p. 161-181.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations
AU - Sözat, Mustafa Ilker
AU - Yazici, Adnan
PY - 2001/1/16
Y1 - 2001/1/16
N2 - 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.
AB - 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.
KW - Conformance
KW - Fuzzy functional dependency
KW - Fuzzy multivalued dependency
KW - Fuzzy relational database
UR - http://www.scopus.com/inward/record.url?scp=0035218218&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035218218&partnerID=8YFLogxK
U2 - 10.1016/S0165-0114(98)00152-3
DO - 10.1016/S0165-0114(98)00152-3
M3 - Article
VL - 117
SP - 161
EP - 181
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 2
ER -