Skip to main content

Complexity of Rule Sets Induced from Data Sets with Many Lost and Attribute-Concept Values

  • Conference paper
  • First Online:
Artificial Intelligence and Soft Computing (ICAISC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9693))

Included in the following conference series:

  • 1177 Accesses

Abstract

In this paper we present experimental results on rule sets induced from 12 data sets with many missing attribute values. We use two interpretations of missing attribute values: lost values and attribute-concept values. Our main objective is to check which interpretation of missing attribute values is better from the view point of complexity of rule sets induced from the data sets with many missing attribute values. The better interpretation is the attribute-value. Our secondary objective is to test which of the three probabilistic approximations used for the experiments provide the simplest rule sets: singleton, subset or concept. The subset probabilistic approximation is the best, with 5 % significance level.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

References

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

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  4. 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 

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

    Article  MathSciNet  MATH  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.: Data with missing attribute values: generalization of indiscernibility relation and rule induction. Trans. Rough Sets 1, 78–95 (2004)

    MATH  Google Scholar 

  8. Grzymała-Busse, J.W.: Generalized parameterized approximations. In: Yao, J.T., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 136–145. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. 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 

  10. 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 

  11. Clark, P.G., Grzymala-Busse, J.W.: Complexity of rule sets induced from incomplete data with lost values and attribute-concept values. In: Proceedings of the Third International Conference on Intelligent Systems and Applications, pp. 91–96 (2014)

    Google Scholar 

  12. Clark, P.G., Grzymala-Busse, J.W.: Mining incomplete data with lost values and attribute-concept values. In: Proceedings of the IEEE International Conference on Granular Computing, pp. 49–54 (2014)

    Google Scholar 

  13. Clark, P.G., Grzymala-Busse, J.W.: Mining incomplete data with many lost and attribute-concept values. In: Ciucci, D., Wang, G., Mitra, S., Wu, W.-Z. (eds.) RSKT 2015. LNCS, vol. 9436, pp. 100–109. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  14. Clark, P.G., Grzymala-Busse, J.W.: On the number of rules and conditions in mining incomplete data with lost values and attribute-concept values. In: Proceedings of the DBKDA 7-th International Conference on Advances in Databases, Knowledge, and Data Applications, pp. 121–126 (2015)

    Google Scholar 

  15. Grzymala-Busse, J.W., Wang, A.Y.: Modified algorithms LEM1 and LEM2 for rule induction from data with missing attribute values. In: Proceedings of the 5-th International Workshop on Rough Sets and Soft Computing in Conjunction with the Third Joint Conference on Information Sciences, pp. 69–72 (1997)

    Google Scholar 

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

    Article  MATH  Google Scholar 

  17. Pawlak, Z.: Rough sets. Int. J. Comput. Inform. Sci. 11, 341–356 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  18. Grzymala-Busse, J.W.: A new version of the rule induction system LERS. Fundamenta Informaticae 31, 27–39 (1997)

    MATH  Google Scholar 

  19. Grzymala-Busse, J.W., Rzasa, W.: Definability and other properties of approximations for generalized indiscernibility relations. Trans. Rough Sets 11, 14–39 (2010)

    MATH  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

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Clark, P.G., Gao, C., Grzymala-Busse, J.W. (2016). Complexity of Rule Sets Induced from Data Sets with Many Lost and Attribute-Concept Values. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2016. Lecture Notes in Computer Science(), vol 9693. Springer, Cham. https://doi.org/10.1007/978-3-319-39384-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-39384-1_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39383-4

  • Online ISBN: 978-3-319-39384-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics