On the Dedekind-MacNeille completion and formal concept analysis based on multilattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33160739" target="_blank" >RIV/61989592:15310/16:33160739 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011416000439" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011416000439</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2016.01.007" target="_blank" >10.1016/j.fss.2016.01.007</a>

Result language
angličtina
Original language name
On the Dedekind-MacNeille completion and formal concept analysis based on multilattices
Original language description
The Dedekind-MacNeille completion of a poset Pcan be seen as the least complete lattice containing P. In this work, we analyze some results concerning the use of this completion within the framework of Formal Concept Analysis in terms of the poset of concepts associated with a Galois connection between posets. Specifically, we show an interesting property of the Dedekind-MacNeille completion, in that the completion of the concept poset of a Galois connection between posets coincides with the concept lattice of the Galois connection extended to the corresponding completions. Moreover, we study the specific case when P has multilattice structure and state and prove the corresponding representation theorem.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: POST-UP II.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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