Connecting concept lattices with bonds induced by external information

Formal concept analysis
Authors

Ondrej Krídlo

Domingo López-Rodríguez

Lubomir Antoni

Peter Eliaš

Stanislav Krajči

Manuel Ojeda-Aciego

Published

3 August 2023

Publication details

Information Sciences, vol. 648, november 2023, article 119498

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Abstract

In Formal Concept Analysis (FCA), \mathcal L-bonds represent relationships between \mathcal L-formal contexts. Choosing the appropriate bond between \mathcal 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 \mathcal 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.

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Citation

Please, cite this work as:

[Krí+23] O. Krídlo, D. López-Rodríguez, L. Antoni, et al. “Connecting concept lattices with bonds induced by external information”. In: Information Sciences (2023), p. 119498.

@article{insci2023,
     title={Connecting concept lattices with bonds induced by external information},
     author={Ondrej Krídlo and Domingo López-Rodríguez and Lubomir Antoni and Peter Eliaš and Stanislav Krajči and Manuel Ojeda-Aciego},
     journal={Information Sciences},
     pages={119498},
     year={2023},
     publisher={Elsevier}
}