The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems
Open accessAbstract
This paper deals with the application of fuzzy logic in a relational database environment with the objective of capturing more meaning of the data. It is shown that with suitable interpretations for the fuzzy membership functions, a fuzzy relational data model can be used to represent ambiguities in data values as well as impreciseness in the association among them. Relational operators for fuzzy relations have been studied, and applicability of fuzzy logic in capturing integrity constraints has been investigated. By introducing a fuzzy resemblance measure EQUAL for comparing domain values, the definition of classical functional dependency has been generalized to fuzzy functional dependency (ffd). The implication problem of ffds has been examined and a set of sound and complete inference axioms has been proposed. Next, the problem of lossless join decomposition of fuzzy relations for a given set of fuzzy functional dependencies is investigated. It is proved that with a suitable restriction on EQUAL, the design theory of a classical relational database with functional dependencies can be extended to fuzzy relations satisfying fuzzy functional dependencies.
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Cites
Fuzzy sets as a basis for a theory of possibility
Zadeh, L. A. (1978) · Fuzzy Sets and Systems · doi:10.1016/0165-0114(78)90029-5 · Cited by 8,119
Fuzzy sets as a basis for a theory of possibility
Zadeh, L. A. (1999) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(99)80004-9 · Cited by 7,276
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A relational model of data for large shared data banks
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(2006) · Foundations of Database Design · doi:10.1201/9781420003345.ch1 · Cited by 3,521
A computational approach to fuzzy quantifiers in natural languages
Zadeh, L. A. (1983) · Computers & Mathematics with Applications · doi:10.1016/0898-1221(83)90013-5 · Cited by 1,828
Extending the database relational model to capture more meaning
Codd, E. F. (1979) · ACM Transactions on Database Systems · doi:10.1145/320107.320109 · Cited by 1,559
A Theory of Approximate Reasoning
Zadeh, L. A. (1979) · Machine intelligence · Cited by 1,329
Fuzzy Sets and their Applications to Cognitive and Decision Processes
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Metadata
- Authors
- Raju, K. V. S. V. N., & Majumdar, A. K.
- Venue
- ACM Transactions on Database Systems
- Published
- 1988-06
- Volume
- 13
- Issue
- 2
- Pages
- 129-166
- ISSN
- 0362-5915 (ISSN-L)
- 1557-4644
- OpenAlex
- W2017978889
- Cited by
- 406
- References
- 34
- FWCI
- 6.88
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Raju, K. V. S. V. N., & Majumdar, A. K. (1988). Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems. ACM Transactions on Database Systems. https://doi.org/10.1145/42338.42344
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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