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Connecting concept lattices with bonds induced by external information

In Formal Concept Analysis (FCA), L-bonds represent relationships between L-formal contexts. Choosing the appropriate bond between L-fuzzy formal contexts is an important challenge for its application in recommendation tasks. Recent work introduced two constructions of bonds, given by direct product...

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Bibliographic Details
Published in:Information sciences 2023-11, Vol.648, p.119498, Article 119498
Main Authors: Krídlo, Ondrej, López-Rodríguez, Domingo, Antoni, Lubomir, Eliaš, Peter, Krajči, Stanislav, Ojeda-Aciego, Manuel
Format: Article
Language:English
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Summary:In Formal Concept Analysis (FCA), L-bonds represent relationships between L-formal contexts. Choosing the appropriate bond between L-fuzzy formal contexts is an important challenge for its application in recommendation tasks. Recent work introduced two constructions of bonds, given by direct products of two L-fuzzy formal contexts, and showed their usefulness in a particular application. In this paper, we present further theoretical and experimental results on these constructions; in particular, we provide extended interpretations of both rigorous and benevolent concept-forming operators, introduce new theoretical properties of the proposed bonds to connect two concept lattices given external information, and finally present the experimental study of the upper bounds.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2023.119498