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Lattices of Rough Set Abstractions as P-Products

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Book cover Formal Concept Analysis (ICFCA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4933))

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Abstract

We show how certain lattices occurring in the theory of Rough Sets can be described in the language of Formal Concept Analysis. These lattices are obtained from generalised approximation operators forming a kernel-closure pair. We prove a general context representation theorem and derive first consequences. It becomes clear under which conditions the approximations can be interpreted as intervals in a lattice of “definable sets”.

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References

  1. http://roughsets.home.pl/ for an extensive bibliography

  2. Ganter, B.: Relational Galois Connections. In: Kuznetsov, S.O., Schmidt, S. (eds.) ICFCA 2007. LNCS (LNAI), vol. 4390, pp. 1–17. Springer, Heidelberg (2007)

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  3. Ganter, B., Wille, R.: Formal Concept Analysis – Mathematical Foundations. Springer, Heidelberg (1999)

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  4. Pawlak, Z.: Rough Sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)

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  5. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishing, Dordrecht (1991)

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  6. Vickers, S.: Information Systems for continuous posets. Theoretical Computer Science 114, 204–221 (1993)

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Raoul Medina Sergei Obiedkov

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© 2008 Springer-Verlag Berlin Heidelberg

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Ganter, B. (2008). Lattices of Rough Set Abstractions as P-Products. In: Medina, R., Obiedkov, S. (eds) Formal Concept Analysis. ICFCA 2008. Lecture Notes in Computer Science(), vol 4933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78137-0_15

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  • DOI: https://doi.org/10.1007/978-3-540-78137-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78136-3

  • Online ISBN: 978-3-540-78137-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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