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International Journal of General Systems Volume 46, 2017 - Issue 5: Special Issue on Concept Lattices and Their Applications
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Original Articles

The Chu construction and generalized formal concept analysis

L. AntoniInstitute of Computer Science, University of Pavol Jozef Šafárik, Košice, Slovakia.View further author information
,
I. P. CabreraDepartamento de Matemática Aplicada, Universidad de Málaga, Málaga, Spain.View further author information
,
S. KrajčiInstitute of Computer Science, University of Pavol Jozef Šafárik, Košice, Slovakia.View further author information
,
O. KrídloInstitute of Computer Science, University of Pavol Jozef Šafárik, Košice, Slovakia.Correspondence[email protected]
View further author information
&
M. Ojeda-AciegoDepartamento de Matemática Aplicada, Universidad de Málaga, Málaga, Spain.View further author information
Pages 458-474 | Received 15 Apr 2016, Accepted 09 Apr 2017, Published online: 20 Jul 2017

References

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  • Antoni, L., S. Krajči, O. Krídlo, B. Macek, and L. Pisková. 2014. “On Heterogeneous Formal Contexts.” Fuzzy Sets and Systems 234: 22–33.
  • Barr, M. 1979. *-Autonomous Categories. Vol. 752, Lecture Notes in Mathematics. Springer-Verlag.
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  • Huang, M., Q. Li, and L. Guo. 2014. “Formal Contexts for Algebraic Domains.” Electronic Notes in Theoretical Computer Science 301: 79–90.
  • Krajči, S. 2007. “A Categorical View at Generalized Concept Lattices.” Kybernetika 43 (2): 255–264.
  • Krídlo, O., S. Krajči, and L. Antoni. 2016. “Formal Concept Analysis of Higher Order.” International Journal of General Systems 45 (2): 116–134.
  • Krídlo, O., S. Krajči, and M. Ojeda-Aciego. 2012. “The Category of L-Chu Correspondences and the Structure of L-bonds.” Fundamenta Informaticae 115 (4): 297–325.
  • Krídlo, O., and M. Ojeda-Aciego. 2011. “On L-fuzzy Chu Correspondences.” International Journal of Computer Mathematics 88 (9): 1808–1818.
  • Krídlo, O., and M. Ojeda-Aciego. 2014. “Revising the Link Between L-Chu Correspondences and Completely Lattice L-ordered Sets.” Annals of Mathematics and Artificial Intelligence 72: 91–113.
  • Krötzsch, M., P. Hitzler, and G.-Q. Zhang. 2005. “Morphisms in Context.” Lecture Notes in Computer Science 3596: 223–237.
  • Mori, H. 2008. Chu Correspondences. Hokkaido Mathematical Journal 37: 147–214.
  • Stell, J. G. 2014. “Formal Concept Analysis Over Graphs and Hypergraphs.” Lecture Notes in Computer Science8323: 165–179.
  • Zhang, G.-Q., and G. Shen. 2006. “Approximable Concepts, Chu Spaces, and Information Systems.” Theory and Applications of Categories 17 (5): 80–102.

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