Connecting concept lattices with bonds induced by external information

 

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.

NoteBibTeX

@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}
}

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Connecting concept lattices with bonds induced by external information

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Papers citing this work

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1. Roberto G. Aragón, Jesús Medina, Eloísa Ramírez‐Poussa (2025). Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts. Fuzzy Sets and Systems DOI
2. Elijah Eghosa Edeghagba, Branimir Šešelja, Andreja Tepavčević (2025). P-Algebras. Axioms DOI
3. Roberto G. Aragón, Jesús Medina, Eloísa Ramírez‐Poussa (2025). Decomposition of contexts into independent subcontexts based on thresholds. Computational and Applied Mathematics DOI
4. Didier Dubois, Jesús Medina, Henri Prade (2024). Extracting attribute implications from a formal context: Unifying the basic approaches. Information Sciences DOI
5. Roberto G. Aragón, Jesús Medina, Samuel Molina-Ruiz (2024). The Notion of Bond in the Multi-adjoint Concept Lattice Framework. Lecture notes in computer science DOI