Skip to main content

A Multi-objective Attribute Reduction Method in Decision-Theoretic Rough Set Model

  • Conference paper
  • First Online:
Knowledge Science, Engineering and Management (KSEM 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10412))

  • 1857 Accesses

Abstract

Many attribute reduction methods have been proposed for decision-theoretic rough set model based on different definitions of attribute reduct, while an attribute reduct can be seen as an attribute subset that satisfies specific criteria. Most reducts are defined on the basis of a single criterion, which may result in the difficulty for users to choose appropriate reduct to design related reduction algorithm. To address this problem, we propose a multi-objective attribute reduction method based on NSGA-II for decision-theoretic rough set model. Three different definitions of attribute reduct based on positive region, decision cost and mutual information are considered and transferred to a multi-objective optimization problem. Experimental results show that the multi-objective reduction method can obtain a robust and better classification performance.

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.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)

    Article  MATH  Google Scholar 

  2. Li, W., Huang, Z., Jia, X., Cai, X.: Neighborhood based decision-theoretic rough set models. Int. J. Approx. Reason. 69(C), 1–17 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  3. Yao, Y.: Decision-theoretic rough set models. In: Yao, J.T., Lingras, P., Wu, W.-Z., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds.) RSKT 2007. LNCS, vol. 4481, pp. 1–12. Springer, Heidelberg (2007). doi:10.1007/978-3-540-72458-2_1

    Chapter  Google Scholar 

  4. Yao, Y., Zhao, Y.: Attribute reduction in decision-theoretic rough set models. Inf. Sci. 178(17), 3356–3373 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Krawczak, M., Szkatuła, G.: An approach to dimensionality reduction in time series. Inf. Sci. 260, 15–36 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Mac Parthaláin, N., Jensen, R.: Unsupervised fuzzy-rough set-based dimensionality reduction. Inf. Sci. 229, 106–121 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  7. Jia, X., Shang, L., Zhou, B., Yao, Y.: Generalized attribute reduct in rough set theory. Knowl.-Based Syst. 91, 204–218 (2016)

    Article  Google Scholar 

  8. Li, H., Zhou, X., Zhao, J., Liu, D.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundamenta Informaticae 126(4), 415–432 (2013)

    MathSciNet  MATH  Google Scholar 

  9. Ma, X., Wang, G., Hong, Y., Li, T.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inf. Sci. 278, 614–640 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zhang, X., Miao, D.: Region-based quantitative and hierarchical attribute reduction in the two-category decision theoretic rough set model. Knowl.-Based Syst. 71, 146–161 (2014)

    Article  Google Scholar 

  11. Jia, X., Liao, W., Tang, Z., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Inf. Sci. 219, 151–167 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  12. Min, F., Qinghua, H., Zhu, W.: Feature selection with test cost constraint. Int. J. Approx. Reason. 55(1), 167–179 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  13. Liao, S., Zhu, Q., Min, F.: Cost-sensitive attribute reduction in decision-theoretic rough set models. Math. Probl. Eng. 2014(2), 1–9 (2014)

    MathSciNet  Google Scholar 

  14. Qian, Y., Liang, J., Pedrycz, W., Dang, C.: Positive approximation: an accelerator for attribute reduction in rough set theory. Artif. Intell. 174(9–10), 597–618 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Feifei, X., Bi, Z., Lei, J.: Cost minimization attribute reduction based on mutual information. In: International Conference on Fuzzy Systems and Knowledge Discovery, vol. 2015, pp. 215–219 (2015)

    Google Scholar 

  16. Wang, B., Li, X., Zhang, S.: An improved heuristic minimal attribute reduction algorithm based on condition information entropy. In: International Conference on Machinery, Materials and Information Technology Applications, vol. 2015, pp. 538–543 (2015)

    Google Scholar 

  17. Yang, M.: A novel algorithm for attribute reduction based on consistency criterion. Chin. J. Comput. 33(2), 231–239 (2010)

    Article  MathSciNet  Google Scholar 

  18. Fang, Y., Liu, Z.-H., Min, F.: A PSO algorithm for multi-objective cost-sensitive attribute reduction on numeric data with error ranges. Soft Comput. (2016). doi:10.1007/s00500-016-2260-5

  19. Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  20. Yao, Y.: Three-way decisions with probabilitic rough sets. Inf. Sci. 18, 341–353 (2010)

    Article  Google Scholar 

  21. Miao, D., Hu, G.: A heuristic algorithm for reduction of knowledge. J. Comput. Res. Dev. 36(6), 681–684 (1999)

    Google Scholar 

  22. Deb, K., Kalyanmoy, D.: Multi-objective optimization using evolutionary algorithms, vol. 2. Wiley, Hoboken (2001)

    MATH  Google Scholar 

  23. Blake, C.L., Merz, C.J.: UCI repository of machine learning databases. http://www.ics.uci.edu/mlearn/MLRepository.html

  24. Hall, M., Frank, E., Holmes, G., Pfahringer, B., Reutemann, P., Witten, I.H.: The WEKA data mining software: an update. ACM SIGKDD Explor. Newsl. 11(1), 10–18 (2009)

    Article  Google Scholar 

Download references

Acknowledgment

This paper is supported by the National Natural Science Foundations of China (Grant Nos. 61403200, 71671086), the Natural Science Foundation of Jiangsu Province (Grant No. BK20140800), and Key Laboratory of Oceanographic Big Data Mining & Application of Zhejiang Province (Grant No. OBDMA201602).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiuyi Jia .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Wang, L., Li, W., Jia, X., Zhou, B. (2017). A Multi-objective Attribute Reduction Method in Decision-Theoretic Rough Set Model. In: Li, G., Ge, Y., Zhang, Z., Jin, Z., Blumenstein, M. (eds) Knowledge Science, Engineering and Management. KSEM 2017. Lecture Notes in Computer Science(), vol 10412. Springer, Cham. https://doi.org/10.1007/978-3-319-63558-3_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-63558-3_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-63557-6

  • Online ISBN: 978-3-319-63558-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics