Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems
ACM Transactions on Database Systems (TODS)
Computational problems related to the design of normal form relational schemas
ACM Transactions on Database Systems (TODS)
Fuzzy logic: mathematical tools for approximate reasoning
Fuzzy logic: mathematical tools for approximate reasoning
Combining fuzzy information: an overview
ACM SIGMOD Record
SLFD Logic: Elimination of Data Redundancy in Knowledge Representation
IBERAMIA 2002 Proceedings of the 8th Ibero-American Conference on AI: Advances in Artificial Intelligence
Theory of Relational Databases
Theory of Relational Databases
Logical Foundations for Similarity-Based Databases
Database Systems for Advanced Applications
Query systems in similarity-based databases: logical foundations, expressive power, and completeness
Proceedings of the 2010 ACM Symposium on Applied Computing
DASFAA'06 Proceedings of the 11th international conference on Database Systems for Advanced Applications
Attribute implications in a fuzzy setting
ICFCA'06 Proceedings of the 4th international conference on Formal Concept Analysis
International Journal of Computer Mathematics Editors’ Report
International Journal of Computer Mathematics
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We present a new axiomatization of logic for dependencies in data with grades, including ordinal data and data in an extension of Codd's model that takes into account similarity relations on domains. The axiomatization makes possible an efficient method for automated reasoning for such dependencies that is presented in the paper. The presented method of automatic reasoning is based on a new simplification equivalence which allows to simplify sets of dependencies while retaining their semantic closures. We include two algorithms for computing closures and checking semantic entailment from sets of dependencies and present experimental comparison showing that the algorithms based on the new axiomatization outperform the algorithms proposed in the past.