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Original Articles

Generating complete sublattices by methods of formal concept analysis

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Pages 475-489 | Received 16 May 2016, Accepted 09 Apr 2017, Published online: 18 Aug 2017
 

Abstract

We present a solution to the problem of finding the complete sublattice of a given concept lattice generated by a given set of elements. We construct the closed subrelation of the corresponding incidence relation whose concept lattice is equal to the desired complete sublattice. The construction does not require the presence of the original concept lattice. We introduce an efficient algorithm for the construction and give an example and experiments. We also study a related problem of characterizing complete sublattices of a given concept lattice that are given by a general subrelation of the incidence relation.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the IGA of Palacký University Olomouc [grant number IGA_PrF_2016_027].

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