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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

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

  • 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