Skip to main content

Optimization of Decision Rules Based on Dynamic Programming Approach

  • Chapter
  • First Online:
Innovations in Intelligent Machines-4

Part of the book series: Studies in Computational Intelligence ((SCI,volume 514))

Abstract

This chapter is devoted to the study of an extension of dynamic programming approach which allows optimization of approximate decision rules relative to the length and coverage. We introduce an uncertainty measure that is the difference between number of rows in a given decision table and the number of rows labeled with the most common decision for this table divided by the number of rows in the decision table. We fix a threshold γ, such that 0 ≤ γ < 1, and study so-called γ-decision rules (approximate decision rules) that localize rows in subtables which uncertainty is at most γ. Presented algorithm constructs a directed acyclic graph Δγ T which nodes are subtables of the decision table T given by pairs “attribute = value”. The algorithm finishes the partitioning of a subtable when its uncertainty is at most γ. The chapter contains also results of experiments with decision tables from UCI Machine Learning Repository.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. Agrawal, R., Srikant, R.: Fast algorithms for mining association rules in large databases. In: Bocca, J.B., Jarke, M., Zaniolo C. (eds.) Proceedings of the 20th International Conference on Very Large Data Bases, VLDB’94, pp. 487–499. Morgan Kaufmann (1994)

    Google Scholar 

  2. Alkhalid, A., Chikalov, I., Husain, S., Moshkov, M.: Extensions of dynamic programming as a new tool for decision tree optimization. In: Ramanna, S., Jain, L.C., Howlett, R.J. (eds.) Emerging Paradigms in Machine Learning, Smart Innovation, Systems and Technologies, vol. 13, pp. 11–29. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  3. Alkhalid, A., Chikalov, I., Moshkov, M.: On algorithm for building of optimal α-decision trees. In: Szczuka, M.S., Kryszkiewicz, M., Ramanna, S., Jensen, R., Hu, Q. (eds.) RSCTC 2010, LNCS, vol. 6086, pp. 438–445. Springer, Heidelberg (2010)

    Google Scholar 

  4. Alkhalid, A., Amin, T., Chikalov, I., Hussain, S., Moshkov, M., Zielosko, B.: Dagger: A tool for analysis and optimization of decision trees and rules. In: Ficarra, F.V.C. (ed.) Computational Informatics, Social Factors and New Information Technologies: Hypermedia Perspectives and Avant-Garde Experiences in the Era of Communicability Expansion, pp. 29–39. Blue Herons, Bergamo, Italy (2011)

    Google Scholar 

  5. Amin, T., Chikalov, I., Moshkov, M., Zielosko, B.: Dynamic programming approach for exact decision rule optimization. In: Skowron, A., Suraj, Z. (eds.) Rough Sets and Intelligent Systems—Professor Zdzisław Pawlak in Memoriam, Intelligent Systems Reference Library, vol. 42, pp. 211–228. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  6. Amin, T., Chikalov, I., Moshkov, M., Zielosko, B.: Dynamic programming approach for partial decision rule optimization. Fundam. Inform. 119(3–4), 233–248 (2012)

    MathSciNet  MATH  Google Scholar 

  7. Amin, T., Chikalov, I., Moshkov, M., Zielosko, B.: Dynamic programming approach to optimization of approximate decision rules. Inf. Sci. 221, 403–418 (2013)

    Article  MathSciNet  Google Scholar 

  8. Ang, J., Tan, K., Mamun, A.: An evolutionary memetic algorithm for rule extraction. Export Syst. Appl. 37(2), 1302–1315 (2010)

    Article  Google Scholar 

  9. Asuncion, A., Newman, D.J.: UCI Machine Learning Repository (2007). http://www.ics.uci.edu/~mlearn/

  10. Błaszczyński, J., Słowiński, R., Szeląg, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf. Sci. 181(5), 987–1002 (2011)

    Article  Google Scholar 

  11. Chikalov, I.: On algorithm for constructing of decision trees with minimal number of nodes. In: Ziarko, W., Yao, Y.Y. (eds.) RSCTC 2000, LNCS, vol. 2005, pp. 139–143. Springer, Heidelberg (2001)

    Google Scholar 

  12. Clark, P., Niblett, T.: The cn2 induction algorithm. Mach. Learn. 3(4), 261–283 (1989)

    Google Scholar 

  13. Dembczyński, K., Kotłowski, W., Słowiński, R.: Ender: a statistical framework for boosting decision rules. Data Min. Knowl. Discov. 21(1), 52–90 (2010)

    Article  MathSciNet  Google Scholar 

  14. Fürnkranz, J.: Separate-and-conquer rule learning. Artif. Intell. Rev. 13(1), 3–54 (1999)

    Article  MATH  Google Scholar 

  15. Grzymała-Busse, J.W.: Lers—a system for learning from examples based on rough sets. In: Słowiński, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, pp. 3–18. Kluwer Academic Publishers (1992)

    Google Scholar 

  16. Liu, B., Abbass, H.A., McKay, B.: Classification rule discovery with ant colony optimization. In: IAT 2003, pp. 83–88. IEEE Computer Society (2003)

    Google Scholar 

  17. Michalski, S., Pietrzykowski, J.: iAQ: A Program That Discovers Rules. AAAI-07 AI Video Competition (2007). URL http://videolectures.net/aaai07_michalski_iaq/

  18. Moshkov, M., Chikalov, I.: On algorithm for constructing of decision trees with minimal depth. Fundam. Inform. 41(3), 295–299 (2000)

    MathSciNet  MATH  Google Scholar 

  19. Moshkov, M., Zielosko, B.: Combinatorial Machine Learning—A Rough Set Approach, Studies in Computational Intelligence, vol. 360. Springer, Heidelberg (2011)

    Book  Google Scholar 

  20. Moshkov, M., Piliszczuk, M., Zielosko, B.: Partial Covers, Reducts and Decision Rules in Rough Sets—Theory and Applications, Studies in Computational Intelligence, vol. 145. Springer, Heidelberg (2008)

    Google Scholar 

  21. Nguyen, H.S.: Approximate boolean reasoning: foundations and applications in data mining. In: Peters, J.F., Skowron, A. (eds.) T. Rough Sets, LNCS, vol. 4100, pp. 334–506. Springer (2006)

    Google Scholar 

  22. Pawlak, Z., Skowron, A.: Rough sets and boolean reasoning. Inf. Sci. 177(1), 41–73 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  23. Quinlan, J.R.: C4.5: Programs for Machine Learning. Morgan Kaufmann Publishers Inc. (1993)

    Google Scholar 

  24. Rissanen, J.: Modeling by shortest data description. Automatica 14(5), 465–471 (1978)

    Article  MATH  Google Scholar 

  25. Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Słowinski, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory, pp. 331–362. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

  26. Ślęzak, D., Wróblewski, J.: Order based genetic algorithms for the search of approximate entropy reducts. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds.) RSFDGrC 2003, LNCS, vol. 2639, pp. 308–311. Springer (2003)

    Google Scholar 

  27. Zielosko, B., Moshkov, M., Chikalov, I.: Optimization of decision rules based on methods of dynamic programming. Vestnik of Lobachevsky State University of Nizhny Novgorod 6, 195–200 (2010). (in Russian)

    Google Scholar 

  28. Zielosko, B.: Sequential optimization of γ-decision rules. In: Ganzha, M., Maciaszek, L.A., Paprzycki, M. (eds.) Proceedings of FedCSIS 2012, Wrocław, Poland, 9–12 Sept 2012, pp. 339–346 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Beata Zielosko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Zielosko, B., Chikalov, I., Moshkov, M., Amin, T. (2014). Optimization of Decision Rules Based on Dynamic Programming Approach. In: Faucher, C., Jain, L. (eds) Innovations in Intelligent Machines-4. Studies in Computational Intelligence, vol 514. Springer, Cham. https://doi.org/10.1007/978-3-319-01866-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01866-9_12

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01865-2

  • Online ISBN: 978-3-319-01866-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics