Skip to main content

Rough Set Analysis of Classification Data with Missing Values

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10313))

Abstract

In this paper, we consider a rough set analysis of non-ordinal and ordinal classification data with missing attribute values. We show how this problem can be addressed by several variants of Indiscernibility-based Rough Set Approach (IRSA) and Dominance-based Rough Set Approach (DRSA). We propose some desirable properties that a rough set approach being able to handle missing attribute values should possess. Then, we analyze which of these properties are satisfied by the considered variants of IRSA and DRSA.

This is a preview of subscription content, log in via an institution.

References

  1. Błaszczyński, J., Słowiński, R., Szeląg, M.: Induction of ordinal classification rules from incomplete data. In: Yao, J.T., Yang, Y., Słowiński, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS (LNAI), vol. 7413, pp. 56–65. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32115-3_6

    Chapter  Google Scholar 

  2. Błaszczyński, J., Greco, S., Słowiński, R., Szeląg, M.: Monotonic variable consistency rough set approaches. In: Yao, J.T., Lingras, P., Wu, W.-Z., Szczuka, M., Cercone, N.J., Ślezak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 126–133. Springer, Heidelberg (2007). doi:10.1007/978-3-540-72458-2_15

    Chapter  Google Scholar 

  3. Błaszczyński, J., Greco, S., Słowiński, R., Szeląg, M.: Monotonic variable consistency rough set approaches. Int. J. Approximate Reason. 50(7), 979–999 (2009)

    Article  MathSciNet  Google Scholar 

  4. Błaszczyński, J., Słowiński, R., Szeląg, M.: Rough set approach to classification of incomplete data. Research Report RA-22/2013, Poznań University of Technology (2013)

    Google Scholar 

  5. Dembczyński, K., Greco, S., Słowiński, R.: Rough set approach to multiple criteria classification with imprecise evaluations and assignments. Eur. J. Oper. Res. 198(2), 626–636 (2009)

    Article  MathSciNet  Google Scholar 

  6. Greco, S., Matarazzo, B., Słowinski, R.: Handling missing values in rough set analysis of multi-attribute and multi-criteria decision problems. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC 1999. LNCS (LNAI), vol. 1711, pp. 146–157. Springer, Heidelberg (1999). doi:10.1007/978-3-540-48061-7_19

    Chapter  MATH  Google Scholar 

  7. Greco, S., Matarazzo, B., Słowiński, R.: Dealing with missing data in rough set analysis of multi-attribute and multi-criteria decision problems. In: Zanakis, S., et al. (eds.) Decision Making: Recent Developments and Worldwide Applications, pp. 295–316. Kluwer, Dordrecht (2000)

    Chapter  Google Scholar 

  8. Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129(1), 1–47 (2001)

    Article  Google Scholar 

  9. Greco, S., Matarazzo, B., Słowiński, R.: Granular computing for reasoning about ordered data: the dominance-based rough set approach. In: Pedrycz, W., et al. (eds.) Handbook of Granular Computing, Chap. 15. Wiley, Chichester (2008)

    Google Scholar 

  10. Grzymala-Busse, J.W., Hu, M.: A comaprison of several approaches in missing attribute values in data mining. In: Ziarko, W., Yao, Y. (eds.) RSCTC 2000. LNAI, vol. 2005, pp. 378–385. Springer, Berlin (2001). doi:10.1007/3-540-45554-X_46

    Chapter  Google Scholar 

  11. Grzymala-Busse, J.W.: Mining incomplete data - a rough set approach. In: Yao, J.T., et al. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 1–7. Springer, Berlin (2011). doi:10.1007/978-3-642-24425-4_1

    Chapter  Google Scholar 

  12. Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning. Springer, Berlin (2009)

    Book  Google Scholar 

  13. Hu, M.L., Liu, S.F.: A rough analysis method of multi-attribute decision making for handling decision system with incomplete information. In: Proceedings of 2007 IEEE International Conference on Grey Systems and Intelligent Services, 18–20, November 2007, Nanjing, China (2007)

    Google Scholar 

  14. Kryszkiewicz, M.: Rough set approach to incomplete information systems. Inf. Sci. 112, 39–49 (1998)

    Article  MathSciNet  Google Scholar 

  15. Liang, D., Yang, S.X., Jiang, C., Zheng, X., Liu, D.: A new extended dominance relation approach based on probabilistic rough set theory. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds.) RSKT 2010. LNCS (LNAI), vol. 6401, pp. 175–180. Springer, Heidelberg (2010). doi:10.1007/978-3-642-16248-0_28

    Chapter  Google Scholar 

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

    MATH  Google Scholar 

  17. Słowiński, R., Greco, S., Matarazzo, B.: Rough set methodology for decision aiding. In: Kacprzyk, J., Pedrycz, W. (eds.) Handbook of Computational Intelligence, Chap. 22, pp. 349–370. Springer, Berlin (2015). doi:10.1007/978-3-662-43505-2_22

  18. Słowiński, R., Vanderpooten, D.: A generalized definition of rough approximations based on similarity. IEEE Trans. Knowl. Data Eng. 12(2), 331–336 (2000)

    Article  Google Scholar 

  19. Stefanowski, J., Tsoukias, A.: Incomplete information tables and rough classification. Comput. Intell. 17(3), 545–566 (2001)

    Article  Google Scholar 

  20. Yang, X., Yang, J., Wu, C., Yu, D.: Dominance-based rough set approach and knowledge reductions in incomplete ordered information system. Inf. Sci. 178(4), 1219–1234 (2008)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgment

The first author acknowledges financial support from the Poznań University of Technology, grant no. 09/91/DSMK/0609.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marcin Szeląg .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Szeląg, M., Błaszczyński, J., Słowiński, R. (2017). Rough Set Analysis of Classification Data with Missing Values. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10313. Springer, Cham. https://doi.org/10.1007/978-3-319-60837-2_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-60837-2_44

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60836-5

  • Online ISBN: 978-3-319-60837-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics