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.

BibTeX

@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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4

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4 Total citations

4 Recent citations

2.63 Field Citation Ratio

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• Scopus - Citation Indexes: 3

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• Mendeley - Readers: 4

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Papers citing this work

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[1] R. G. Aragón, J. Medina, and S. Molina-Ruiz. “The Notion of Bond in the Multi-adjoint Concept Lattice Framework”. In: Advances in Artificial Intelligence. Springer Nature Switzerland, 2024, p. 243–253. ISBN: 9783031627996. DOI: 10.1007/978-3-031-62799-6_25. URL: http://dx.doi.org/10.1007/978-3-031-62799-6_25.

[2] R. G. Aragón, J. Medina, and E. Ramírez-Poussa. “Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts”. In: Fuzzy Sets and Systems 509 (Jun. 2025), p. 109345. ISSN: 0165-0114. DOI: 10.1016/j.fss.2025.109345. URL: http://dx.doi.org/10.1016/j.fss.2025.109345.

[3] D. Dubois, J. Medina, and H. Prade. “Extracting attribute implications from a formal context: Unifying the basic approaches”. In: Information Sciences 689 (Jan. 2025), p. 121419. ISSN: 0020-0255. DOI: 10.1016/j.ins.2024.121419. URL: http://dx.doi.org/10.1016/j.ins.2024.121419.

[4] E. E. Edeghagba, B. Šešelja, and A. Tepavčević. “P-Algebras”. In: Axioms 14.2 (Jan. 2025), p. 81. ISSN: 2075-1680. DOI: 10.3390/axioms14020081. URL: http://dx.doi.org/10.3390/axioms14020081.