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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1083–1092 (Mi smj1791)  
This article is cited in 3 scientific papers (total in 3 papers)

On computable formal concepts in computable formal contexts

A. S. Morozova, M. A. L'vovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (314 kB) Citations (3)
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Abstract: We introduce and study the notions of computable formal context and computable formal concept. We give some examples of computable formal contexts in which the computable formal concepts fail to form a lattice and study the complexity aspects of formal concepts in computable contexts. In particular, we give some sufficient conditions under which the computability or noncomputability of a formal concept could be recognized from its lattice-theoretic properties. We prove the density theorem showing that in a Cantor-like topology every formal concept can be approximated by computable ones. We also show that not all formal concepts have lattice-theoretic approximations as suprema or infima of families of computable formal concepts.
Keywords: formal concept analysis, computable formal context, computable concept, computable model.
Received: 26.04.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 871–878
DOI: https://doi.org/10.1007/s11202-007-0089-y
Bibliographic databases:
UDC: 510.5+519.7
Language: Russian
Citation: A. S. Morozov, M. A. L'vova, “On computable formal concepts in computable formal contexts”, Sibirsk. Mat. Zh., 48:5 (2007), 1083–1092; Siberian Math. J., 48:5 (2007), 871–878
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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