The Chu construction and generalized formal concept analysis

 

Abstract

We continue studying the connections between the Chu construction on the category ChuCors of formal contexts and Chu correspondences, and generalizations of Formal Concept Analysis (FCA). All the required constructions like categorical product, tensor product, together with its bifunctor properties are introduced and proved. The final section focuses on how the second-order generalization of FCA can be built up in terms of the Chu construction.

Citation

Please, cite this work as:

[Lub+17] L’ubom', I. P. Cabrera, S. Krajci, et al. “The Chu construction and generalized formal concept analysis”. In: Int. J. Gen. Syst. 46.5 (2017), pp. 458-474. DOI: 10.1080/03081079.2017.1349579. URL: https://doi.org/10.1080/03081079.2017.1349579.

BibTeX

@Article{Antoni2017,
     author = {L’ubom'Antoni and Inma P. Cabrera and Stanislav Krajci and Ondrej Kridlo and Manuel Ojeda-Aciego},
     journal = {Int. J. Gen. Syst.},
     title = {The Chu construction and generalized formal concept analysis},
     year = {2017},
     number = {5},
     pages = {458–474},
     volume = {46},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/journals/ijgs/AntoniCKKO17.bib},
     doi = {10.1080/03081079.2017.1349579},
     timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
     url = {https://doi.org/10.1080/03081079.2017.1349579},
}

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5

CITATIONS

5 Total citations

0 Recent citations

3.41 Field Citation Ratio

n/a Relative Citation Ratio

• Citations
• CrossRef - Citation Indexes: 5
• Scopus - Citation Indexes: 5

• Captures
• Mendeley - Readers: 6

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Papers citing this work

The following is a non-exhaustive list of papers that cite this work:

[1] Ľ. Antoni, D. Bruothová, J. Guniš, et al. “Attribute Exploration in Formal Concept Analysis and Measuring of Pupils’ Computational Thinking”. In: Towards Digital Intelligence Society. Springer International Publishing, Dec. 2020, p. 160–180. ISBN: 9783030638726. DOI: 10.1007/978-3-030-63872-6_8. URL: http://dx.doi.org/10.1007/978-3-030-63872-6_8.

[2] O. Krídlo, M. Ojeda-Aciego, T. Put, et al. “On Some Categories Underlying Knowledge Graphs”. In: Computational Intelligence and Mathematics for Tackling Complex Problems 2. Springer International Publishing, 2022, p. 199–205. ISBN: 9783030888176. DOI: 10.1007/978-3-030-88817-6_23. URL: http://dx.doi.org/10.1007/978-3-030-88817-6_23.

[3] N. Madrid and M. Ojeda-Aciego. “Some Relationships Between the Notions of f-Inclusion and f-Contradiction”. In: Computational Intelligence and Mathematics for Tackling Complex Problems 2. Springer International Publishing, 2022, p. 175–181. ISBN: 9783030888176. DOI: 10.1007/978-3-030-88817-6_20. URL: http://dx.doi.org/10.1007/978-3-030-88817-6_20.

[4] J. Pócs and J. Pócsová. “On Bonds for Generalized One-Sided Concept Lattices”. In: Mathematics 9.3 (Jan. 2021), p. 211. ISSN: 2227-7390. DOI: 10.3390/math9030211. URL: http://dx.doi.org/10.3390/math9030211.

[5] F. Zhao, Q. Jin, and L. Li. “The axiomatic characterizations on L-generalized fuzzy neighborhood system-based approximation operators”. In: International Journal of General Systems 47.2 (Dec. 2017), p. 155–173. ISSN: 1563-5104. DOI: 10.1080/03081079.2017.1407928. URL: http://dx.doi.org/10.1080/03081079.2017.1407928.