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A Comparative Study of Formal Concept Analysis and Rough Set Theory in Data Analysis

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Rough Sets and Current Trends in Computing (RSCTC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3066))

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Abstract

The theory of rough sets and formal concept analysis are compared in a common framework based on formal contexts. Different concept lattices can be constructed. Formal concept analysis focuses on concepts that are definable by conjuctions of properties, rough set theory focuses on concepts that are definable by disjunctions of properties. They produce different types of rules summarizing knowledge embedded in data.

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References

  1. Düntsch, I., Gediga, G.: Approximation operators in qualitative data analysis. In: de Swart, H., Orlowska, E., Schmidt, G., Roubens, M. (eds.) Theory and Application of Relational Structures as Knowledge Instruments, pp. 216–233. Springer, Heidelberg (2003)

    Google Scholar 

  2. Fayyad, U.M., Piatetsky-Shapiro, G., Smyth, P.: From data mining to knowledge discovery: an overview. In: Fayyad, U.M., Piatetsky-Shapiro, G., Smyth, P., Uthurusamy, R. (eds.) Advances in knowledge discovery and data mining, pp. 1–34. AAAI/MIT Press, Menlo Park, California (1996)

    Google Scholar 

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

    MATH  Google Scholar 

  4. Gediga, G., Düntsch, I.: Modal-style operators in qualitative data analysis. In: Proceedings of the 2002 IEEE International Conference on Data Mining, pp. 155–162 (2002)

    Google Scholar 

  5. Gediga, G., Düntsch, I.: Skill set analysis in knowledge structures. British Journal of Mathematical and Statistical Psychology (to appear)

    Google Scholar 

  6. Hu, K., Sui, Y., Lu, Y., Wang, J., Shi, C.: Concept approximation in concept lattice, Knowledge Discovery and Data Mining. In: Cheung, D., Williams, G.J., Li, Q. (eds.) PAKDD 2001. LNCS (LNAI), vol. 2035, pp. 167–173. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  7. Kent, R.E.: Rough concept analysis: a synthesis of rough sets and formal concept analysis. Fundamenta Informaticae 27, 169–181 (1996)

    MATH  MathSciNet  Google Scholar 

  8. Pagliani, P.: From concept lattices to approximation spaces: algebraic structures of some spaces of partial objects. Fundamenta Informaticae 18, 1–25 (1993)

    MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. Pawlak, Z.: Rough Sets, Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  11. Saquer, J., Deogun, J.S.: Formal rough concept analysis. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC 1999. LNCS (LNAI), vol. 1711, pp. 91–99. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  12. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Sets, pp. 445–470. Reidel, Dordrecht-Boston (1982)

    Google Scholar 

  13. Wolff, K.E.: A conceptual view of knowledge bases in rough set theory. In: Ziarko, W.P., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 220–228. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  14. Wong, S.K.M., Wang, L.S., Yao, Y.Y.: Interval structure: a framework for representing uncertain information. In: Uncertainty in Artificial Intelligence: Proceedings of the 8th Conference, pp. 336–343. Morgan Kaufmann Publishers, San Francisco (1992)

    Google Scholar 

  15. Yao, Y.Y.: Two views of the theory of rough sets in finite universes. International Journal of Approximation Reasoning 15, 291–317 (1996)

    Article  MATH  Google Scholar 

  16. Yao, Y.Y.: Concept lattices in rough set theory. In: Proceedings of 23rd International Meeting of the North American Fuzzy Information Processing Society (2004) (to appear)

    Google Scholar 

  17. Yao, Y.Y., Chen, Y.H.: Rough set approximations in formal concept analysis. In: Proceedings of 23rd International Meeting of the North American Fuzzy Information Processing Society (2004) (to appear)

    Google Scholar 

  18. Yao, Y.Y., Wong, S.K.M., Lin, T.Y.: A review of rough set models. In: Lin, T.Y., Cercone, N. (eds.) Rough Sets and Data Mining: Analysis for Imprecise Data, pp. 47–75. Kluwer Academic Publishers, Boston (1997)

    Google Scholar 

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Yao, Y. (2004). A Comparative Study of Formal Concept Analysis and Rough Set Theory in Data Analysis. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds) Rough Sets and Current Trends in Computing. RSCTC 2004. Lecture Notes in Computer Science(), vol 3066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25929-9_6

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  • DOI: https://doi.org/10.1007/978-3-540-25929-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22117-3

  • Online ISBN: 978-3-540-25929-9

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