On the Dedekind-MacNeille completion and formal concept analysis based on multilattices
The result's identifiers
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>
Alternative languages
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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Classification
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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Result continuities
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)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
303
Issue of the periodical within the volume
NOV
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000384862600001
EID of the result in the Scopus database
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