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On Different Ways of Handling Inconsistencies in Ordinal Classification with Monotonicity Constraints

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 297))

Abstract

Ordinal classification problem with monotonicity constraints involves a monotonic relationship between the description of an object and the class to which it is assigned. An example of such a relationship is: “the higher the quality of service and the lower the price, the higher the customer satisfaction level (class)”. Violation of the monotonic relationship is considered as an inconsistency. Rough set approaches to induction of the monotonic relationships in form of decision rules handle these inconsistencies at the stage of data pre-processing. As a result, the data sufficiently consistent for rule induction are identified. In this paper, we compare two ways of handling inconsistencies. The first one consists in distinguishing objects that are not less consistent than a specified threshold from those which are less consistent. The second one involves iterative removal of the most inconsistent objects until the data set is consistent. We present results of a computational experiment, in which rule classifiers are induced from data pre-processed in the two considered ways.

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References

  1. Ben-David, A.: Monotonicity maintenance in information-theoretic machine learning algorithms. Machine Learning 19(1), 29–43 (1995)

    Google Scholar 

  2. Ben-David, A., Sterling, L., Tran, T.: Adding monotonicity to learning algorithms impair their accuracy. Expert Systems with Applications 36(3), 6627–6634 (2009)

    Article  Google Scholar 

  3. Błaszczyński, J., Greco, S., Słowiński, R.: Multi-criteria classification – a new scheme for application of dominance-based decision rules. European Journal of Operational Research 181(3), 1030–1044 (2007)

    Article  MATH  Google Scholar 

  4. Błaszczyński, J., Greco, S., Słowiński, R., Szeląg, M.: Monotonic variable consistency rough set approaches. International Journal of Approximate Reasoning 50(7), 979–999 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Błaszczyński, J., Słowiński, R., Szeląg, M.: Learnability in Rough Set Approaches. In: Szczuka, M., Kryszkiewicz, M., Ramanna, S., Jensen, R., Hu, Q. (eds.) RSCTC 2010. LNCS, vol. 6086, pp. 402–411. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  6. Błaszczyński, J., Słowiński, R., Szeląg, M.: Probabilistic Rough Set Approaches to Ordinal Classification with Monotonicity Constraints. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. LNCS, vol. 6178, pp. 99–108. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Błaszczyński, J., Słowiński, R., Szeląg, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Information Sciences 181, 987–1002 (2011)

    Article  MathSciNet  Google Scholar 

  8. Daniels, H., Kamp, B.: Applications of mlp networks to bond rating and house pricing. Neural Computation and Applications 8, 226–234 (1999)

    Article  Google Scholar 

  9. Deng, W., Wang, G., Hu, F.: An Improved Variable Precision Model of Dominance-Based Rough Set Approach. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS, vol. 6743, pp. 60–67. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Deng, W., Wang, G., Yang, S., Hu, F.: A New Method for Inconsistent Multicriteria Classification. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 600–609. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  11. Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129(1), 1–47 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  12. Greco, S., Matarazzo, B., Słowiński, R.: Granular computing for reasoning about ordered data: the dominance-based rough set approach. In: Pedrycz, W., Skowron, A., Kreinovich, V. (eds.) Handbook of Granular Computing, ch. 15, John Wiley & Sons, Ltd (2008)

    Google Scholar 

  13. Inuiguchi, M., Yoshioka, Y.: Variable-Precision Dominance-Based Rough Set Approach. In: Greco, S., Hata, Y., Hirano, S., Inuiguchi, M., Miyamoto, S., Nguyen, H.S., Słowiński, R. (eds.) RSCTC 2006. LNCS (LNAI), vol. 4259, pp. 203–212. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Koop, G.: Analysis of Economic Data. John Wiley and Sons (2000)

    Google Scholar 

  15. Kotłowski, W., Dembczyński, K., Greco, S., Słowiński, R.: Stochastic dominance-based rough set model for ordinal classification. Information Sciences 178(21), 4019–4037 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Słowiński, R., Greco, S., Matarazzo, B.: Rough set based decision support. In: Burke, E.K., Kendall, G. (eds.) Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques, ch. 16, pp. 475–527. Springer, New York (2005)

    Google Scholar 

  17. Słowiński, R., Greco, S., Matarazzo, B.: Rough sets in decision making. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and Systems Science, pp. 7753–7786. Springer, New York (2009)

    Google Scholar 

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Błaszczyński, J., Deng, W., Hu, F., Słowiński, R., Szeląg, M., Wang, G. (2012). On Different Ways of Handling Inconsistencies in Ordinal Classification with Monotonicity Constraints. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances on Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31709-5_31

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  • DOI: https://doi.org/10.1007/978-3-642-31709-5_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31708-8

  • Online ISBN: 978-3-642-31709-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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