On -fuzzy Chu correspondences

uncategorised

Authors

Ondrej Kridlo

Manuel Ojeda-Aciego

Published

1 January 2011

Publication details

Int. J. Comput. Math. vol. 88 (9), pages 1808–1818.

Links

Abstract

In this paper, we focus on the framework of Chu correspondences introduced by Mori for a classical formal concept analysis, and we propose a suitable extension of the framework in a more general and flexible environment based on L-fuzzy sets, and define the notions of L-Chu correspondence and of L-bond. After introducing the generalized framework, the sets of L-Chu correspondences and of L-bonds are proved to have the structure of complete lattice and, furthermore, there exists a natural anti-isomorphism between them.

Citation

Please, cite this work as:

[KO11] O. Kridlo and M. Ojeda-Aciego. “On L-fuzzy Chu correspondences”. In: Int. J. Comput. Math. 88.9 (2011), pp. 1808-1818. DOI: 10.1080/00207160903494147. URL: https://doi.org/10.1080/00207160903494147.

BibTeX

@Article{Kridlo2011,
     author = {Ondrej Kridlo and Manuel Ojeda-Aciego},
     journal = {Int. J. Comput. Math.},
     title = {On -fuzzy Chu correspondences},
     year = {2011},
     number = {9},
     pages = {1808–1818},
     volume = {88},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/journals/ijcm/KridloO11.bib},
     doi = {10.1080/00207160903494147},
     timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
     url = {https://doi.org/10.1080/00207160903494147},
}

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Citations
CrossRef - Citation Indexes: 11
Scopus - Citation Indexes: 17

Captures
Mendeley - Readers: 5

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] 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.

[2] 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.

[3] 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.

[4] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Relational Connections Between Preordered Sets”. In: Applied Physics, System Science and Computers III. Springer International Publishing, 2019, p. 163–169. ISBN: 9783030215071. DOI: 10.1007/978-3-030-21507-1_24. URL: http://dx.doi.org/10.1007/978-3-030-21507-1_24.

[5] 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.

[6] O. Krídlo, S. Krajči, and M. Ojeda-Aciego. “The Category of L-Chu Correspondences and the Structure of L-Bonds”. In: Fundamenta Informaticae 115.4 (2012), p. 297–325. ISSN: 0169-2968. DOI: 10.3233/fi-2012-657. URL: http://dx.doi.org/10.3233/fi-2012-657.

[7] 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.

[8] 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.

[9] 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.

[10] A. Mora, P. Cordero, M. Enciso, et al. “Closure via functional dependence simplification”. In: International Journal of Computer Mathematics 89.4 (Mar. 2012), p. 510–526. ISSN: 1029-0265. DOI: 10.1080/00207160.2011.644275. URL: http://dx.doi.org/10.1080/00207160.2011.644275.

[11] 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.

[12] J. Vigo-Aguiar and J. A. Lopez-Ramos. “Applications of computational mathematics in science and engineering”. In: International Journal of Computer Mathematics 88.9 (Jun. 2011), p. 1805–1807. ISSN: 1029-0265. DOI: 10.1080/00207160.2011.578828. URL: http://dx.doi.org/10.1080/00207160.2011.578828.