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2009 | OriginalPaper | Buchkapitel

Formal Concept Analysis

verfasst von : Gerd Stumme

Erschienen in: Handbook on Ontologies

Verlag: Springer Berlin Heidelberg

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Summary

Formal concept analysis (FCA) is a mathematical theory about concepts and concept hierarchies. Based on lattice theory, it allows to derive concept hierarchies from datasets. In this survey, we recall the basic notions of FCA, including its relationship to folksonomies. The survey is concluded by a list of FCA based knowledge engineering solutions.

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Fußnoten
1
After a discussion of the three levels, DIN 2330 focusses on guidelines for good namings and definitions. It is thus a valuable resource for ontology engineers. An alternative source is the related international standard ‘ISO 704: Terminology Work – Principles and Methods’ [41].
 
5
This is equivalent to requiring that A ×BI such that neither A nor B can be enlarged without validating this condition.
 
6
That is, each subset of concepts has a unique greatest common subconcept (called its infimum ) and a unique least common superconcept (called its supremum ).
 
7
http://​toscanaj.​sourceforge.​net/​, see also [37] for its foundations and a description of its predecessor TOSCANA.
 
16
BibSonomy benchmark datasets are available for scientific purposes, see http://​www.​bibsonomy.​org/​faq.
 
17
See http://​www.​mail-sleuth.​com/​ for a commercial follow-up.
 
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Zurück zum Zitat G. Stumme and A. Maedche. FCA-Merge: Bottom-up merging of ontologies. In B. Nebel, editor, Proc. 17th Intl. Conf. on Artificial Intelligence (IJCAI ’01), pages 225–230, Seattle, WA, USA, 2001. G. Stumme and A. Maedche. FCA-Merge: Bottom-up merging of ontologies. In B. Nebel, editor, Proc. 17th Intl. Conf. on Artificial Intelligence (IJCAI ’01), pages 225–230, Seattle, WA, USA, 2001.
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Zurück zum Zitat G. Stumme, R. Taouil, Y. Bastide, N. Pasqier, and L. Lakhal. Computing iceberg concept lattices with Titanic. Journal on Data and Knowledge Engineering, 42(2):189–222, 2002.CrossRefMATH G. Stumme, R. Taouil, Y. Bastide, N. Pasqier, and L. Lakhal. Computing iceberg concept lattices with Titanic. Journal on Data and Knowledge Engineering, 42(2):189–222, 2002.CrossRefMATH
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Zurück zum Zitat G. Stumme, R. Taouil, Y. Bastide, N. Pasquier, and L. Lakhal. Intelligent structuring and reducing of association rules with formal concept analysis. In F. Baader, G. Brewker, and T. Eiter, editors, KI 2001: Advances in Artificial Intelligence, volume 2174 of LNAI, pages 335–350. Springer, Heidelberg, 2001.CrossRef G. Stumme, R. Taouil, Y. Bastide, N. Pasquier, and L. Lakhal. Intelligent structuring and reducing of association rules with formal concept analysis. In F. Baader, G. Brewker, and T. Eiter, editors, KI 2001: Advances in Artificial Intelligence, volume 2174 of LNAI, pages 335–350. Springer, Heidelberg, 2001.CrossRef
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Metadaten
Titel
Formal Concept Analysis
verfasst von
Gerd Stumme
Copyright-Jahr
2009
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-540-92673-3_8