[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

A Comparison of Concept and Global Probabilistic Approximations Based on Mining Incomplete Data

  • Conference paper
  • First Online:
Information and Software Technologies (ICIST 2018)

Abstract

We discuss incomplete data sets with two interpretations of missing attribute values, lost values and “do not care” conditions. For data mining we use two probabilistic approximations, concept and global. Concept probabilistic approximations are well known while global probabilistic approximations are introduced in this paper. The rationale for introducing global probabilistic approximations is a common opinion of the rough set community that global probabilistic approximations, as closer to the approximated concept, should be more successful. Surprisingly, results of our experiments show that the error rate evaluated by ten-fold cross validation is smaller for concept probabilistic approximations than for global probabilistic approximations.

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

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 35.99
Price includes VAT (United Kingdom)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 44.99
Price includes VAT (United Kingdom)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Clark, P.G., Grzymala-Busse, J.W.: Experiments on probabilistic approximations. In: Proceedings of the 2011 IEEE International Conference on Granular Computing, pp. 144–149 (2011)

    Google Scholar 

  2. Clark, P.G., Grzymala-Busse, J.W.: Experiments on rule induction from incomplete data using three probabilistic approximations. In: Proceedings of the 2012 IEEE International Conference on Granular Computing, pp. 90–95 (2012)

    Google Scholar 

  3. Clark, P.G., Grzymala-Busse, J.W.: An experimental comparison of three interpretations of missing attribute values using probabilistic approximations. In: Proceedings of the 14-th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, pp. 77–86 (2013)

    Google Scholar 

  4. Clark, P.G., Grzymala-Busse, J.W., Rzasa, W.: Mining incomplete data with singleton, subset and concept approximations. Inf. Sci. 280, 368–384 (2014)

    Article  MathSciNet  Google Scholar 

  5. Grzymala-Busse, J.W.: MLEM2: a new algorithm for rule induction from imperfect data. In: Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 243–250 (2002)

    Google Scholar 

  6. Grzymala-Busse, J.W.: Rough set strategies to data with missing attribute values. In: Notes of the Workshop on Foundations and New Directions of Data Mining, in Conjunction with the Third International Conference on Data Mining, pp. 56–63 (2003)

    Google Scholar 

  7. Grzymala-Busse, J.W.: Three approaches to missing attribute values–a rough set perspective. In: Proceedings of the Workshop on Foundation of Data Mining, in Conjunction with the Fourth IEEE International Conference on Data Mining, pp. 55–62 (2004)

    Google Scholar 

  8. Grzymala-Busse, J.W.: Generalized parameterized approximations. In: Proceedings of the 6-th International Conference on Rough Sets and Knowledge Technology, pp. 136–145 (2011)

    Chapter  Google Scholar 

  9. Grzymala-Busse, J.W., Clark, P.G., Kuehnhausen, M.: Generalized probabilistic approximations of incomplete data. Int. J. Approximate Reasoning 132, 180–196 (2014)

    Article  MathSciNet  Google Scholar 

  10. Grzymala-Busse, J.W., Mroczek, T.: Definability in mining incomplete data. In: Proceedings of the 20-th International Conference on Knowledge Based and Intelligent Information and Engineering Systems, pp. 179–186 (2016)

    Article  Google Scholar 

  11. Grzymala-Busse, J.W., Rzasa, W.: Local and global approximations for incomplete data. In: Proceedings of the Fifth International Conference on Rough Sets and Current Trends in Computing, pp. 244–253 (2006)

    Chapter  Google Scholar 

  12. Grzymala-Busse, J.W., Rzasa, W.: Local and global approximations for incomplete data. Trans. Rough Sets 8, 21–34 (2008)

    MathSciNet  MATH  Google Scholar 

  13. Grzymala-Busse, J.W., Ziarko, W.: Data mining based on rough sets. In: Wang, J. (ed.) Data Mining: Opportunities and Challenges, pp. 142–173. Idea Group Publ., Hershey (2003)

    Chapter  Google Scholar 

  14. Pawlak, Z., Skowron, A.: Rough sets: some extensions. Inf. Sci. 177, 28–40 (2007)

    Article  MathSciNet  Google Scholar 

  15. Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man Mach. Stud. 29, 81–95 (1988)

    Article  Google Scholar 

  16. Ślȩzak, D., Ziarko, W.: The investigation of the Bayesian rough set model. Int. J. Approximate Reasoning 40, 81–91 (2005)

    Article  MathSciNet  Google Scholar 

  17. Wong, S.K.M., Ziarko, W.: INFER–an adaptive decision support system based on the probabilistic approximate classification. In: Proceedings of the 6-th International Workshop on Expert Systems and their Applications, pp. 713–726 (1986)

    Google Scholar 

  18. Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approximate Reasoning 49, 255–271 (2008)

    Article  Google Scholar 

  19. Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximate concepts. Int. J. Man Mach. Stud. 37, 793–809 (1992)

    Article  Google Scholar 

  20. Ziarko, W.: Variable precision rough set model. J. Comput. Syst. Sci. 46(1), 39–59 (1993)

    Article  MathSciNet  Google Scholar 

  21. Ziarko, W.: Probabilistic approach to rough sets. Int. J. Approximate Reasoning 49, 272–284 (2008)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jerzy W. Grzymala-Busse .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Clark, P.G., Gao, C., Grzymala-Busse, J.W., Mroczek, T., Niemiec, R. (2018). A Comparison of Concept and Global Probabilistic Approximations Based on Mining Incomplete Data. In: Damaševičius, R., Vasiljevienė, G. (eds) Information and Software Technologies. ICIST 2018. Communications in Computer and Information Science, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-319-99972-2_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-99972-2_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99971-5

  • Online ISBN: 978-3-319-99972-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics