Title
Characterization and armstrong relations for degenerate multivalued dependencies using formal concept analysis
Abstract
Functional dependencies, a notion originated in Relational Database Theory, are known to admit interesting characterizations in terms of Formal Concept Analysis. In database terms, two successive, natural extensions of the notion of functional dependency are the so-called degenerate multivalued dependencies, and multivalued dependencies proper. We propose here a new Galois connection, based on any given relation, which gives rise to a formal concept lattice corresponding precisely to the degenerate multivalued dependencies that hold in the relation given. The general form of the construction departs significantly from the most usual way of handling functional dependencies. Then, we extend our approach so as to extract Armstrong relations for the degenerate multivalued dependencies from the concept lattice obtained; the proof of the correctness of this construction is nontrivial.
Year
DOI
Venue
2005
10.1007/978-3-540-32262-7_11
Lecture Notes in Computer Science
Keywords
Field
DocType
functional dependency,general form,formal concept lattice,multivalued dependency,formal concept analysis,database term,interesting characterization,relational database theory,concept lattice,armstrong relation,relational database
Galois connection,Discrete mathematics,Multivalued dependency,Relational database,Correctness,Functional dependency,Armstrong's axioms,Formal concept analysis,Mathematics,Dependency theory (database theory)
Conference
Volume
ISSN
ISBN
3403
0302-9743
3-540-24525-1
Citations 
PageRank 
References 
7
0.49
19
Authors
2
Name
Order
Citations
PageRank
Jaume Baixeries19912.57
jose luis balcazar navarro270.49