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(2010) Formal concept analysis, Dordrecht, Springer.
Conditional Functional Dependencies (CFDs) are Functional Dependencies (FDs) that hold on a fragment relation of the original relation. In [17], the hierarchy between CFDs, association rules and some other dependencies have been shown.This paper exhibits the relation between CFDs and FCA. Given a many-valued relation we define a labeled lattice which gives a synthetic representation of the hierarchy of dependencies. Moreover, a formal concept in the nominal scaling of the relation is an instance of a closed set in the labeled lattice. Pure CFDs correspond to edges in this labeled lattice. We exhibit a monotone function on CFDs allowing search and pruning strategies. We also show that transitive edges induce redundant CFDs.
Publication details
DOI: 10.1007/978-3-642-11928-6_12
Full citation:
Medina, R. , Nourine, L. (2010)., Conditional functional dependencies: an fca point of view, in L. Kwuida & B. Sertkaya (eds.), Formal concept analysis, Dordrecht, Springer, pp. 161-176.
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