Skip to main content

Attribute Reduction: An Ensemble Strategy

  • Conference paper
  • First Online:
Rough Sets (IJCRS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10313))

Included in the following conference series:

Abstract

In rough set theory, the heuristic strategy for computing reducts does not take the stability of the selected attributes into account. An unstable reduct may imply the lower adaption to data variations. To fill such a gap, an ensemble strategy is embedded in heuristic algorithm for achieving stable reducts of variable precision fuzzy rough sets. Given an admissible error \(\beta \), for each looping in the algorithm, a set of attributes will be chosen through considering several admissible errors around the given \(\beta \), instead of choosing only one attribute by \(\beta \) itself. The main purpose of this replacement is to simulate the sample variations through slight changing of admissible errors over the fixed data. Consequently, the voting ensemble can be used to select an attribute with the maximal frequency of occurrences. The experimental results on eight UCI data sets demonstrate that our ensemble strategy based heuristic approach will improve the stabilities of reducts effectively, while it is unnecessary to add too many attributes for constructing the reducts. This study suggests new trends for considering robust problems in the framework of rough set.

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

Access this chapter

Institutional subscriptions

References

  1. An, S., Shi, H., Hu, Q.H., Li, X.Q., Dang, J.W.: Fuzzy rough regression with application to wind speed prediction. Inf. Sci. 282, 388–400 (2014)

    Article  MathSciNet  Google Scholar 

  2. Chen, D., Tsang, E.C.C.: On the local reduction of information system. In: Yeung, D.S., Liu, Z.-Q., Wang, X.-Z., Yan, H. (eds.) ICMLC 2005. LNCS, vol. 3930, pp. 588–594. Springer, Heidelberg (2006). doi:10.1007/11739685_61

    Chapter  Google Scholar 

  3. Chen, D.G., Zhao, S.Y.: Local reduction of decision system with fuzzy rough sets. Fuzzy Sets Syst. 161, 1871–1883 (2010)

    Article  MathSciNet  Google Scholar 

  4. Dai, J.H., Xu, Q.: Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification. Appl. Soft Comput. 13, 211–221 (2013)

    Article  Google Scholar 

  5. Dash, M., Liu, H.: Consistency-based search in feature selection. Artif. Intell. 151, 155–176 (2003)

    Article  MathSciNet  Google Scholar 

  6. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Int. J. Gen. Syst. 17, 191–209 (1990)

    Article  Google Scholar 

  7. Hu, Q.H., Pedrycz, W., Yu, D.R., Lang, J.: Selecting discrete and continuous features based on neighborhood decision error minimization. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 40, 137–150 (2010)

    Article  Google Scholar 

  8. Hu, Q.H., Zhang, L., Chen, D.G., Pedrycz, W., Yu, D.R.: Gaussian kernel based fuzzy rough sets: model, uncertainty measures and applications. Int. J. Approx. Reason. 51, 453–471 (2010)

    Article  Google Scholar 

  9. Ho, T.K., Basu, M.: Complexity measures of supervised classification problems. IEEE Trans. Pattern Anal. Mach. Intell. 24, 289–300 (2002)

    Article  Google Scholar 

  10. Ju, H.R., Li, H.X., Yang, X.B., Zhou, X.Z., Huang, B.: Cost-sensitive rough set: a multi-granulation approach. Knowl.-Based Syst. 123, 137–153 (2017)

    Article  Google Scholar 

  11. Ju, H.R., Yang, X.B., Yu, H.L., Li, T.J., Yu, D.J., Yang, J.Y.: Cost-sensitive rough set approach. Inf. Sci. 355–356, 282–298 (2016)

    Article  Google Scholar 

  12. Li, H.X., Zhou, X.Z.: Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int. J. Comput. Intell. Syst. 4, 1–11 (2011)

    Article  Google Scholar 

  13. Liu, D., Li, T.R., Zhang, J.B.: A rough set-based incremental approach for learning knowledge in dynamic incomplete information systems. Int. J. Approx. Reason. 55, 1764–1786 (2014)

    Article  MathSciNet  Google Scholar 

  14. Liu, D., Li, T.R., Zhang, J.B.: Incremental updating approximations in probabilistic rough sets under the variation of attributes. Knowl.-Based Syst. 73, 81–96 (2015)

    Article  Google Scholar 

  15. Liu, J.B., Min, F., Liao, S.J., Zhu, W.: A genetic algorithm to attribute reduction with test cost constraint. In: 6th International Conference on Computer Sciences and Convergence Information Technology, pp. 751–754. IEEE press, New York (2011)

    Google Scholar 

  16. Li, Y., Si, J., Zhou, G.J., Huang, S.S., Chen, S.C.: FREL: a stable feature selection algorithm. IEEE Trans. Neural Netw. Learn. Syst. 26, 1388–1402 (2015)

    Article  MathSciNet  Google Scholar 

  17. Ślȩzak, D.: Approximate entropy reducts. Fundam. Inform. 53, 365–390 (2002)

    MathSciNet  MATH  Google Scholar 

  18. Sun, L., Xu, J.C., Tian, Y.: Feature selection using rough entropy-based uncertainty measures in incomplete decision systems. Knowl.-Based Syst. 36, 206–216 (2012)

    Article  Google Scholar 

  19. UCI Machine Learning Repository. http://archive.ics.uci.edu/ml/

  20. Vluymans, S., D’eer, L., Saeys, Y., Cornelis, C.: Applications of fuzzy rough set theory in machine learning: a survey. Fundam. Inform. 142, 53–86 (2015)

    Article  MathSciNet  Google Scholar 

  21. Wang, B.L., Liang, J.Y., Qian, Y.H.: Determining decision makers’ weights in group ranking: a granular computing method. Int. J. Mach. Learn. Cybern. 6, 511–521 (2015)

    Article  Google Scholar 

  22. Wang, R., Chen, D.G., Kwong, S.: Fuzzy-rough-set-based active learning. IEEE Trans. Fuzzy Syst. 22, 1699–1704 (2014)

    Article  Google Scholar 

  23. Xu, S.P., Yang, X.B., Song, X.N., Yu, H.L.: Prediction of protein structural classes by decreasing nearest neighbor error rate. In: 2015 International Conference on Machine Learning and Cybernetics, pp. 7–13. IEEE Press, New York (2015)

    Google Scholar 

  24. Xu, S.P., Yang, X.B., Tsang, E.C.C., Mantey, E.A.: Neighborhood collaborative classifiers. In: 2016 International Conference on Machine Learning and Cybernetics, pp. 470–476. IEEE Press, New York (2016)

    Google Scholar 

  25. Xu, S.P., Yang, X.B., Yu, H.L., Yu, D.J., Yang, J.Y., Tsang, E.C.C.: Multi-label learning with label-specific feature reduction. Knowl.-Based Syst. 104, 52–61 (2016)

    Article  Google Scholar 

  26. Yang, X.B., Qi, Y.S., Song, X.N., Yang, J.Y.: Test cost sensitive multigranulation rough set: model and minimal cost selection. Inf. Sci. 250, 184–199 (2013)

    Article  MathSciNet  Google Scholar 

  27. Yang, X.B., Qi, Y., Yu, H.L., Song, X.N., Yang, J.Y.: Updating multigranulation rough approximations with increasing of granular structures. Knowl.-Based Syst. 64, 59–69 (2014)

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the Natural Science Foundation of China (Nos. 61572242, 61503160, 61502211), Macau Science and Technology Development Foundation (No. 081/2015/A3), Postgraduate Innovation Foundation of Jiangsu Province (No. KYLX16_0505), Postgraduate Research Innovation Foundation of Jiangsu University of Science and Technology (No. YCX15S-10), Qing Lan Project of Jiangsu Province of China, Open Project Foundation of Intelligent Information Processing Key Laboratory of Shanxi Province (No. 2014002).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xibei Yang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Xu, S., Wang, P., Li, J., Yang, X., Chen, X. (2017). Attribute Reduction: An Ensemble Strategy. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10313. Springer, Cham. https://doi.org/10.1007/978-3-319-60837-2_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-60837-2_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60836-5

  • Online ISBN: 978-3-319-60837-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics