Selection of appropriate bonds between L-fuzzy formal contexts for recommendation tasks

The bond between L-fuzzy formal contexts can be defined as a (Galois) connection between L-fuzzy concept lattices of L-fuzzy formal contexts. The selection of appropriate bond from the set of all bonds between L-fuzzy formal contexts is an important challenge to apply it in recommendation tasks. We...

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Bibliographic Details
Published in:Information sciences 2022-08, Vol.606, p.21-37
Main Authors: Krídlo, Ondrej, Antoni, Ľubomír, Krajči, Stanislav
Format: Article
Language:English
Subjects:
[formula omitted]-fuzzy formal context
Bond
Direct product
Factorization
Sugeno integral
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Summary:The bond between L-fuzzy formal contexts can be defined as a (Galois) connection between L-fuzzy concept lattices of L-fuzzy formal contexts. The selection of appropriate bond from the set of all bonds between L-fuzzy formal contexts is an important challenge to apply it in recommendation tasks. We propose the general method for the selection of bonds regarding external information given by L-fuzzy relation. The alternative versions of direct products of L-fuzzy formal contexts are formulated and explored since we demonstrate that the extent of direct product is a bond between input L-fuzzy formal contexts. We present examples of the benevolent and rigorous recommendations in several application domains including the real dataset about music genres. Finally, the connections with factorization of L-fuzzy formal contexts and Sugeno integral are thoroughly studied in our paper.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2022.05.047