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Uta Priss
Relation Algebra and FCA
Relation Algebra (RA) and Relational Algebra (RLA) provide a foundation
for query languages. While RLA is usually used for many-valued tables in
relational databases (using SQL), RA is suitable for binary matrices
as used in Formal Concept Analysis (FCA). RLA is more
expressive than RA, but RA has some interesting features for the use with
formal contexts.
I wrote several papers on using RA with FCA (see below). Because several
people had questions about these papers, I wrote an
Introduction to using Relation Algebra
with FCA, which hopefully answers such questions.
The FcaFlint
software implements these operations. FcaFlint is released as part of
FcaStone.
- Priss, Uta.
"Relation Algebra Operations on Formal Contexts".
In:
Proceedings of the 17th International Conference on Conceptual
Structures, ICCS'09,
Springer Verlag.
(Pdf © Springer-Verlag)
- Priss, Uta.
"The FcaFlint Software for Relation Algebra Operations
on FCA Contexts." In: Conceptual Structures Tool Interoperability
Workshop (CS-TIW 2009), Moscow, Russia.
(Pdf)
- Priss, Uta; Old, L. John.
"An application of relation algebra to lexical databases."
In: Schaerfe, Hitzler, Ohrstrom (eds.),
Conceptual Structures: Inspiration and Application,
Proceedings of the 14th International Conference on Conceptual Structures, ICCS'06,
Springer Verlag,
LNAI 4068, 2006, p. 388-400.
(Pdf © Springer-Verlag)
- Priss, Uta.
"An FCA interpretation of Relation Algebra."
In: Missaoui; Schmidt (eds.),
Formal Concept Analysis: 4th International Conference, ICFCA 2006,
Springer Verlag,
LNCS 3874, 2006, p. 248-263.
(Pdf © Springer-Verlag)
- Priss, Uta.
"Establishing connections between Formal Concept Analysis and
Relational Databases." In: Dau; Mugnier; Stumme (eds.),
Common Semantics for Sharing Knowledge: Contributions to ICCS, 2005, p. 132-145.
(Pdf)
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www.upriss.org.uk
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