Revising the link between L-Chu correspondences and completely lattice L-ordered sets

Continuing our categorical study of L -fuzzy extensions of formal concept analysis, we provide a representation theorem for the category of L -Chu correspondences between L -formal contexts and prove that it is equivalent to the category of completely lattice L -ordered sets.

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Bibliographic Details
Published in:Annals of mathematics and artificial intelligence 2014-10, Vol.72 (1-2), p.91-113
Main Authors: Krídlo, Ondrej, Ojeda-Aciego, Manuel
Format: Article
Language:English
Subjects:
Artificial Intelligence
Complex Systems
Computer Science
Mathematics
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Description
Summary:Continuing our categorical study of L -fuzzy extensions of formal concept analysis, we provide a representation theorem for the category of L -Chu correspondences between L -formal contexts and prove that it is equivalent to the category of completely lattice L -ordered sets.
ISSN:1012-2443
1573-7470
DOI:10.1007/s10472-014-9416-8