Formal concept analysis via multi-adjoint concept lattices

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Authors

Jesús Medina

Manuel Ojeda-Aciego

Jorge Ruiz-Calvi~no

Published

1 January 2009

Publication details

Fuzzy Sets Syst. vol. 160 (2), pages 130–144.

Links

Abstract

Citation

Please, cite this work as:

[MOR09] J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calvi~no. “Formal concept analysis via multi-adjoint concept lattices”. In: Fuzzy Sets Syst. 160.2 (2009), pp. 130-144. DOI: 10.1016/J.FSS.2008.05.004. URL: https://doi.org/10.1016/j.fss.2008.05.004.

BibTeX

@Article{Medina2009,
     author = {Jes{’u}s Medina and Manuel Ojeda-Aciego and Jorge Ruiz-Calvi~no},
     journal = {Fuzzy Sets Syst.},
     title = {Formal concept analysis via multi-adjoint concept lattices},
     year = {2009},
     number = {2},
     pages = {130–144},
     volume = {160},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/journals/fss/MedinaOR09.bib},
     doi = {10.1016/J.FSS.2008.05.004},
     timestamp = {Sun, 06 Oct 2024 01:00:00 +0200},
     url = {https://doi.org/10.1016/j.fss.2008.05.004},
}

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Citations
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Scopus - Citation Indexes: 231

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Mendeley - Readers: 19

Cites

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Papers citing this work

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

[1] L. Antoni, S. Krajči, O. Krídlo, et al. “On heterogeneous formal contexts”. In: Fuzzy Sets and Systems 234 (Jan. 2014), p. 22–33. ISSN: 0165-0114. DOI: 10.1016/j.fss.2013.04.008. URL: http://dx.doi.org/10.1016/j.fss.2013.04.008.

[2] R. G. Aragón, J. Medina, and E. Ramírez-Poussa. “Factorizing formal contexts from closures of necessity operators”. In: Computational and Applied Mathematics 43.3 (Mar. 2024). ISSN: 1807-0302. DOI: 10.1007/s40314-024-02590-0. URL: http://dx.doi.org/10.1007/s40314-024-02590-0.

[3] 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.

[4] R. Belohlavek. “Sup-t-norm and inf-residuum are one type of relational product: Unifying framework and consequences”. In: Fuzzy Sets and Systems 197 (Jun. 2012), p. 45–58. ISSN: 0165-0114. DOI: 10.1016/j.fss.2011.07.015. URL: http://dx.doi.org/10.1016/j.fss.2011.07.015.

[5] R. Belohlavek, B. De Baets, J. Outrata, et al. “Computing the Lattice of All Fixpoints of a Fuzzy Closure Operator”. In: IEEE Transactions on Fuzzy Systems 18.3 (Jun. 2010), p. 546–557. ISSN: 1941-0034. DOI: 10.1109/tfuzz.2010.2041006. URL: http://dx.doi.org/10.1109/tfuzz.2010.2041006.

[6] R. Belohlavek and V. Vychodil. “Formal concept analysis and linguistic hedges”. In: International Journal of General Systems 41.5 (Jul. 2012), p. 503–532. ISSN: 1563-5104. DOI: 10.1080/03081079.2012.685936. URL: http://dx.doi.org/10.1080/03081079.2012.685936.

[7] M. J. Benítez-Caballero, J. Medina, E. Ramírez-Poussa, et al. “Rough-set-driven approach for attribute reduction in fuzzy formal concept analysis”. In: Fuzzy Sets and Systems 391 (Jul. 2020), p. 117–138. ISSN: 0165-0114. DOI: 10.1016/j.fss.2019.11.009. URL: http://dx.doi.org/10.1016/j.fss.2019.11.009.

[8] M. E. Cornejo, J. Medina, and F. J. Ocaña. “Attribute implications in multi-adjoint concept lattices with hedges”. In: Fuzzy Sets and Systems 479 (Mar. 2024), p. 108854. ISSN: 0165-0114. DOI: 10.1016/j.fss.2023.108854. URL: http://dx.doi.org/10.1016/j.fss.2023.108854.

[9] M. E. Cornejo, J. Medina, and E. Ramírez-Poussa. “Attribute reduction in multi-adjoint concept lattices”. In: Information Sciences 294 (Feb. 2015), p. 41–56. ISSN: 0020-0255. DOI: 10.1016/j.ins.2014.09.033. URL: http://dx.doi.org/10.1016/j.ins.2014.09.033.

[10] M. E. Cornejo, J. Medina, and E. Ramírez-Poussa. “Characterizing reducts in multi-adjoint concept lattices”. In: Information Sciences 422 (Jan. 2018), p. 364–376. ISSN: 0020-0255. DOI: 10.1016/j.ins.2017.08.099. URL: http://dx.doi.org/10.1016/j.ins.2017.08.099.

[11] M. E. Cornejo, J. Medina, and E. Ramírez-Poussa. “Multi-adjoint algebras versus non-commutative residuated structures”. In: International Journal of Approximate Reasoning 66 (Nov. 2015), p. 119–138. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2015.08.003. URL: http://dx.doi.org/10.1016/j.ijar.2015.08.003.

[12] C. Cornelis, J. Medina, and N. Verbiest. “Multi-adjoint fuzzy rough sets: Definition, properties and attribute selection”. In: International Journal of Approximate Reasoning 55.1 (Jan. 2014), p. 412–426. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2013.09.007. URL: http://dx.doi.org/10.1016/j.ijar.2013.09.007.

[13] J. C. Díaz and J. Medina. “Multi-adjoint relation equations: Definition, properties and solutions using concept lattices”. In: Information Sciences 253 (Dec. 2013), p. 100–109. ISSN: 0020-0255. DOI: 10.1016/j.ins.2013.07.024. URL: http://dx.doi.org/10.1016/j.ins.2013.07.024.

[14] D. Dubois and H. Prade. “Bridging gaps between several forms of granular computing”. In: Granular Computing 1.2 (Jan. 2016), p. 115–126. ISSN: 2364-4974. DOI: 10.1007/s41066-015-0008-8. URL: http://dx.doi.org/10.1007/s41066-015-0008-8.

[15] M. Eugenia Cornejo, J. Medina, and E. Ramírez. “A comparative study of adjoint triples”. In: Fuzzy Sets and Systems 211 (Jan. 2013), p. 1–14. ISSN: 0165-0114. DOI: 10.1016/j.fss.2012.05.004. URL: http://dx.doi.org/10.1016/j.fss.2012.05.004.

[16] X. Kang, D. Li, S. Wang, et al. “Formal concept analysis based on fuzzy granularity base for different granulations”. In: Fuzzy Sets and Systems 203 (Sep. 2012), p. 33–48. ISSN: 0165-0114. DOI: 10.1016/j.fss.2012.03.003. URL: http://dx.doi.org/10.1016/j.fss.2012.03.003.

[17] S. O. Kuznetsov and J. Poelmans. “Knowledge representation and processing with formal concept analysis”. In: WIREs Data Mining and Knowledge Discovery 3.3 (Apr. 2013), p. 200–215. ISSN: 1942-4795. DOI: 10.1002/widm.1088. URL: http://dx.doi.org/10.1002/widm.1088.

[18] J. Medina. “Multi-adjoint property-oriented and object-oriented concept lattices”. In: Information Sciences 190 (May. 2012), p. 95–106. ISSN: 0020-0255. DOI: 10.1016/j.ins.2011.11.016. URL: http://dx.doi.org/10.1016/j.ins.2011.11.016.

[19] J. Medina and M. Ojeda-Aciego. “Multi-adjoint t-concept lattices”. In: Information Sciences 180.5 (Mar. 2010), p. 712–725. ISSN: 0020-0255. DOI: 10.1016/j.ins.2009.11.018. URL: http://dx.doi.org/10.1016/j.ins.2009.11.018.

[20] J. Medina and M. Ojeda-Aciego. “On multi-adjoint concept lattices based on heterogeneous conjunctors”. In: Fuzzy Sets and Systems 208 (Dec. 2012), p. 95–110. ISSN: 0165-0114. DOI: 10.1016/j.fss.2012.02.008. URL: http://dx.doi.org/10.1016/j.fss.2012.02.008.

[21] J. Pócs. “Note on generating fuzzy concept lattices via Galois connections”. In: Information Sciences 185.1 (Feb. 2012), p. 128–136. ISSN: 0020-0255. DOI: 10.1016/j.ins.2011.09.021. URL: http://dx.doi.org/10.1016/j.ins.2011.09.021.

[22] J. Poelmans, D. I. Ignatov, S. O. Kuznetsov, et al. “Fuzzy and rough formal concept analysis: a survey”. In: International Journal of General Systems 43.2 (Jan. 2014), p. 105–134. ISSN: 1563-5104. DOI: 10.1080/03081079.2013.862377. URL: http://dx.doi.org/10.1080/03081079.2013.862377.

[23] J. Poelmans, S. O. Kuznetsov, D. I. Ignatov, et al. “Formal Concept Analysis in knowledge processing: A survey on models and techniques”. In: Expert Systems with Applications 40.16 (Nov. 2013), p. 6601–6623. ISSN: 0957-4174. DOI: 10.1016/j.eswa.2013.05.007. URL: http://dx.doi.org/10.1016/j.eswa.2013.05.007.

[24] M. Shao and K. Li. “Attribute reduction in generalized one-sided formal contexts”. In: Information Sciences 378 (Feb. 2017), p. 317–327. ISSN: 0020-0255. DOI: 10.1016/j.ins.2016.03.018. URL: http://dx.doi.org/10.1016/j.ins.2016.03.018.

[25] F. J. Valverde-Albacete and C. Peláez-Moreno. “Extending conceptualisation modes for generalised Formal Concept Analysis”. In: Information Sciences 181.10 (May. 2011), p. 1888–1909. ISSN: 0020-0255. DOI: 10.1016/j.ins.2010.04.014. URL: http://dx.doi.org/10.1016/j.ins.2010.04.014.