The Category of L-Chu Correspondences and the Structure of L-Bonds

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Authors

Ondrej Kridlo

Stanislav Krajci

Manuel Ojeda-Aciego

Published

1 January 2012

Publication details

Fundam. Informaticae vol. 115 (4), pages 297–325.

Links

Abstract

An L-fuzzy generalization of the so-called Chu correspondences between formal contexts forms a category called L-ChuCors. In this work, we show that this category naturally embeds ChuCors and prove that it is *ast;-autonomous. We also focus on the di

Citation

Please, cite this work as:

[KKO12] O. Kridlo, S. Krajci, and M. Ojeda-Aciego. “The Category of L-Chu Correspondences and the Structure of L-Bonds”. In: Fundam. Informaticae 115.4 (2012), pp. 297-325. DOI: 10.3233/FI-2012-657. URL: https://doi.org/10.3233/FI-2012-657.

BibTeX

@Article{Kridlo2012,
     author = {Ondrej Kridlo and Stanislav Krajci and Manuel Ojeda-Aciego},
     journal = {Fundam. Informaticae},
     title = {The Category of L-Chu Correspondences and the Structure of L-Bonds},
     year = {2012},
     number = {4},
     pages = {297–325},
     volume = {115},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/journals/fuin/KridloKO12.bib},
     doi = {10.3233/FI-2012-657},
     timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
     url = {https://doi.org/10.3233/FI-2012-657},
}

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The Category of L-Chu Correspondences and the Structure of L-Bonds

Cites

The following graph plots the number of cites received by this work from its publication, on a yearly basis.

Papers citing this work

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

[1] C. Alcalde, A. Burusco, and R. Fuentes-González. “The use of two relations in L-fuzzy contexts”. In: Information Sciences 301 (Apr. 2015), p. 1–12. ISSN: 0020-0255. DOI: 10.1016/j.ins.2014.12.057. URL: http://dx.doi.org/10.1016/j.ins.2014.12.057.

[2] L. Antoni, I. P. Cabrera, S. Krajči, et al. “The Chu construction and generalized formal concept analysis”. In: International Journal of General Systems 46.5 (Jul. 2017), p. 458–474. ISSN: 1563-5104. DOI: 10.1080/03081079.2017.1349579. URL: http://dx.doi.org/10.1080/03081079.2017.1349579.

[3] L. Antoni, S. Krajči, and O. Krídlo. “Constraint heterogeneous concept lattices and concept lattices with heterogeneous hedges”. In: Fuzzy Sets and Systems 303 (Nov. 2016), p. 21–37. ISSN: 0165-0114. DOI: 10.1016/j.fss.2015.12.007. URL: http://dx.doi.org/10.1016/j.fss.2015.12.007.

[4] L. Antoni, S. Krajči, and O. Krídlo. “On Fuzzy Generalizations of Concept Lattices”. In: Interactions Between Computational Intelligence and Mathematics. Springer International Publishing, 2018, p. 79–103. ISBN: 9783319746814. DOI: 10.1007/978-3-319-74681-4_6. URL: http://dx.doi.org/10.1007/978-3-319-74681-4_6.

[5] L. Antoni, S. Krajči, and O. Krídlo. “On stability of fuzzy formal concepts over randomized one-sided formal context”. In: Fuzzy Sets and Systems 333 (Feb. 2018), p. 36–53. ISSN: 0165-0114. DOI: 10.1016/j.fss.2017.04.006. URL: http://dx.doi.org/10.1016/j.fss.2017.04.006.

[6] L. Antoni, S. Krajči, and O. Krídlo. “Randomized Fuzzy Formal Contexts and Relevance of One-Sided Concepts”. In: Formal Concept Analysis. Springer International Publishing, 2015, p. 183–199. ISBN: 9783319195452. DOI: 10.1007/978-3-319-19545-2_12. URL: http://dx.doi.org/10.1007/978-3-319-19545-2_12.

[7] L. Antoni, S. Krajči, and O. Krídlo. “Representation of fuzzy subsets by Galois connections”. In: Fuzzy Sets and Systems 326 (Nov. 2017), p. 52–68. ISSN: 0165-0114. DOI: 10.1016/j.fss.2017.05.020. URL: http://dx.doi.org/10.1016/j.fss.2017.05.020.

[8] P. Butka, J. Pócs, J. Pócsová, et al. “Multiple Data Tables Processing via One-Sided Concept Lattices”. In: Multimedia and Internet Systems: Theory and Practice. Springer Berlin Heidelberg, 2013, p. 89–98. ISBN: 9783642323355. DOI: 10.1007/978-3-642-32335-5_9. URL: http://dx.doi.org/10.1007/978-3-642-32335-5_9.

[9] P. Butka, J. Pocsova, and J. Pocs. “On generation of one-sided concept lattices from restricted context”. In: 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics. IEEE, Sep. 2012, p. 111–115. DOI: 10.1109/sisy.2012.6339498. URL: http://dx.doi.org/10.1109/sisy.2012.6339498.

[10] J. Konecny. “Antitone L-bonds”. In: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Springer International Publishing, 2014, p. 71–80. ISBN: 9783319088525. DOI: 10.1007/978-3-319-08852-5_8. URL: http://dx.doi.org/10.1007/978-3-319-08852-5_8.

[11] J. Konecny and O. Krídlo. “On biconcepts in formal fuzzy concept analysis”. In: Information Sciences 375 (Jan. 2017), p. 16–29. ISSN: 0020-0255. DOI: 10.1016/j.ins.2016.09.042. URL: http://dx.doi.org/10.1016/j.ins.2016.09.042.

[12] J. Konecny and M. Ojeda-Aciego. “On homogeneousL-bonds and heterogeneousL-bonds”. In: International Journal of General Systems 45.2 (Oct. 2015), p. 160–186. ISSN: 1563-5104. DOI: 10.1080/03081079.2015.1072926. URL: http://dx.doi.org/10.1080/03081079.2015.1072926.

[13] O. Krídlo, Ľ. Antoni, and S. Krajči. “Selection of appropriate bonds between L-fuzzy formal contexts for recommendation tasks”. In: Information Sciences 606 (Aug. 2022), p. 21–37. ISSN: 0020-0255. DOI: 10.1016/j.ins.2022.05.047. URL: http://dx.doi.org/10.1016/j.ins.2022.05.047.

[14] O. Krídlo, S. Krajči, and L. Antoni. “Formal concept analysis of higher order”. In: International Journal of General Systems 45.2 (Jan. 2016), p. 116–134. ISSN: 1563-5104. DOI: 10.1080/03081079.2015.1072924. URL: http://dx.doi.org/10.1080/03081079.2015.1072924.

[15] O. Krídlo, D. López-Rodríguez, L. Antoni, et al. “Connecting concept lattices with bonds induced by external information”. In: Information Sciences 648 (Nov. 2023), p. 119498. ISSN: 0020-0255. DOI: 10.1016/j.ins.2023.119498. URL: http://dx.doi.org/10.1016/j.ins.2023.119498.

[16] O. Krídlo and M. Ojeda-Aciego. “Formal Concept Analysis and Structures Underlying Quantum Logics”. In: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. Springer International Publishing, 2018, p. 574–584. ISBN: 9783319914732. DOI: 10.1007/978-3-319-91473-2_49. URL: http://dx.doi.org/10.1007/978-3-319-91473-2_49.

[17] O. Krídlo and M. Ojeda-Aciego. “Relating Hilbert-Chu Correspondences and Big Toy Models for Quantum Mechanics”. In: Computational Intelligence and Mathematics for Tackling Complex Problems. Springer International Publishing, May. 2019, p. 75–80. ISBN: 9783030160241. DOI: 10.1007/978-3-030-16024-1_10. URL: http://dx.doi.org/10.1007/978-3-030-16024-1_10.

[18] O. Krídlo and M. Ojeda-Aciego. “Revising the link between L-Chu correspondences and completely lattice L-ordered sets”. In: Annals of Mathematics and Artificial Intelligence 72.1–2 (Apr. 2014), p. 91–113. ISSN: 1573-7470. DOI: 10.1007/s10472-014-9416-8. URL: http://dx.doi.org/10.1007/s10472-014-9416-8.