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A Decision-Theoretic Rough Set Approach to Multi-class Cost-Sensitive Classification

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9920))

Abstract

As a kind of probabilistic rough set model, decision-theoretic rough set is usually used to deal with binary classification problems. This paper provides a new formulation of multi-class decision-theoretic rough set by combining decision-theoretic rough set model with classical cost-sensitive learning. Upper approximation, lower approximation, positive region, negative region and boundary region can be derived from the \(n\,\times \,n\) cost matrix of classical multi-class situation. The probability thresholds for three-way decisions making are defined. A cost-sensitive classification algorithm based on multi-class decision-theoretic rough set model is presented. The experimental results on several UCI data sets indicate that the proposed algorithm can get a better performance on classification accuracy and total cost.

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References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180, 341–353 (2010)

    Article  MathSciNet  Google Scholar 

  3. Yao, Y.: Decision-theoretic rough set models. In: Yao, J.T., Lingras, P., Wu, W.-Z., Szczuka, M.S., Cercone, N.J., Ślȩzak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 1–12. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Yao, Y.Y., Wong, S.K.M., Lingras, P.: A decision-theoretic rough set model. In: Proceedings of ISMIS 1990, vol. 5, pp. 17–24 (1990)

    Google Scholar 

  5. Li, H.X., Zhou, X., Huang, B., Zhao, J.: Decision-theoretic rough set and cost-sensitive classification. J. Front. Comput. Sci. Technol. 7(2), 126–135 (2013) (in Chinese)

    Google Scholar 

  6. Liu, D., Li, T.R., Li, H.X.: A mutliple-category classification approach with decision-theoretic rough sets. Fundamenta Informaticae 115(2–3), 173–188 (2012)

    MathSciNet  MATH  Google Scholar 

  7. Zhou, B.: Multi-class decision-theoretic rough sets. Int. J. Approx. Reason. 55(1), 211–224 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  8. Jia, X.Y., Tang, Z.M., Liao, W.H., Shang, L.: On an optimization representation of decision-theoretic rough set model. Int. J. Approx. Reason. 55(1), 156–166 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  9. Jia, X.Y., Liao, W.H., Tang, Z.M., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Inf. Sci. Int. J. 219(1), 151–167 (2013)

    MathSciNet  MATH  Google Scholar 

  10. Zhou, Z.H., Liu, X.Y.: On multi-class cost-sensitive learning. Comput. Intell. 26(3), 232–257 (2010)

    Article  MathSciNet  Google Scholar 

  11. Hall, M., Frank, E., Holmes, G., et al.: The WEKA data mining software: an update. ACM SIGKDD Explor. Newsl. 11(1), 10–18 (2008)

    Article  Google Scholar 

  12. Lingras, P., Chen, M., Miao, D.: Rough multi-category decision theoretic framework. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds.) RSKT 2008. LNCS (LNAI), vol. 5009, pp. 676–683. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Zhou, Z.H., Liu, X.Y.: Training cost-sensitive neural networks with methods addressing the class imbalance problem. IEEE Trans. Knowl. Data Eng. 18(1), 63–77 (2006)

    Article  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant Nos. 61403200 and Natural Science Foundation of Jiangsu Province under Grant No. BK20140800.

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Correspondence to Xiuyi Jia .

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Deng, G., Jia, X. (2016). A Decision-Theoretic Rough Set Approach to Multi-class Cost-Sensitive Classification. In: Flores, V., et al. Rough Sets. IJCRS 2016. Lecture Notes in Computer Science(), vol 9920. Springer, Cham. https://doi.org/10.1007/978-3-319-47160-0_23

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  • DOI: https://doi.org/10.1007/978-3-319-47160-0_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47159-4

  • Online ISBN: 978-3-319-47160-0

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