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Region Vector Based Attribute Reducts in Decision-Theoretic Rough Sets

  • Guoshun HuangEmail author
  • Yiyu Yao
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9437)

Abstract

When removing some attributes, the partition induced by a smaller set of attributes will be coarser and the decision regions may be changed. In this paper, we analyze the decision region changes when removing attributes and propose a new type of attribute reducts from the point of view of vector based three-way approximations of a partition. We also present a reduct construction method by using a discernibility matrix.

Keywords

Attribute reduction Decision-theoretic rough sets Discernibility matrix 

Notes

Acknowledgements

This work was supported in part by the Project of Department of Education of Guangdong Province (no. 2014KTSCX152) and a Discovery Grant from NSERC, Canada.

References

  1. 1.
    Grzymala-Busse, J.W., Clarka, P.G., Kuehnhausena, M.: Generalized probabilistic approximations of incomplete data. Int. J. Approximate Reasoning 50, 180–196 (2014)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Jia, X.Y., Liao, W.H., Tang, Z.M., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Inf. Sci. 219, 151–167 (2013)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Jia, X.Y., Shang, L., Zhou, B., Yao, Y.Y.: Generalized attribute reduct in rough set theory. Knowledge-Based Systems, 2015. http://dx.doi.org/10.1016/j.knosys.2015.05.017
  4. 4.
    Jia, X.Y., Tang, Z.M., Liao, W.H., Shang, L.: On an optimization representation of decision-theoretic rough set model. Int. J. Approximate Reasoning 55, 156–166 (2014)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Li, H.X., Zhou, X.Z., Zhao, J.B., Liu, D.: Non-monotonic attribute reduction in decision-theoretic rough sets. Fundamenta Informaticae 126, 415–432 (2013)MathSciNetzbMATHGoogle Scholar
  6. 6.
    Liao, S.J., Zhu, Q.X., Min, F.: Cost-sensitive attribute reduction in decision-theoretic rough set models. Math. Prob. Eng. 2014, 1–9 (2014)MathSciNetGoogle Scholar
  7. 7.
    Ma, X.A., Wang, G.Y., Yu, H., Li, T.R.: Decision region distribution preservation reduction in decision-theoretic rough set model. Inf. Sci. 278, 614–640 (2014)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Mi, J.S., Wu, W.Z., Zhang, W.X.: Approaches to knowledge reduction based on variable precision rough set model. Inf. sci. 159, 255–272 (2004)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11, 341–356 (1982)CrossRefGoogle Scholar
  10. 10.
    Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)CrossRefGoogle Scholar
  11. 11.
    Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Slowinski, R. (ed.) Intelligent Decision Support, Handbook of Applications and Advances of the Rough Sets Theory, pp. 331–362. Kluwer, Dordrecht (1992)Google Scholar
  12. 12.
    Skowron, A.: Boolean reasoning for decision rules generation. In: Komorowski, J., Raś, Z.W. (eds.) Methodologies for Intelligent Systems. LNCS, vol. 689, pp. 295–305. Springer, Heidelberg (1993) CrossRefGoogle Scholar
  13. 13.
    Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180, 341–353 (2010)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Yao, Y.Y.: The two sides of the theory of rough sets. Knowl.-based Syst. 80, 67–77 (2015)CrossRefGoogle Scholar
  15. 15.
    Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximating concepts. Int. J. Man-Mach. Stud. 37, 793–809 (1992)CrossRefGoogle Scholar
  16. 16.
    Yao, Y.Y., Wong, S.K.M., Lingras, P.: A decision-theorectic rough set model. In: Ras, Z.W., Zemankova, M., Emrich, M.L. (eds.) Methodologies for Intelligent systems, vol. 5, pp. 17–24. Norh-Holland, New York (1990)Google Scholar
  17. 17.
    Yao, Y.Y., Zhao, Y.: Attribute reduction in decision-theoretic rough set models. Inf. Sci. 178, 3356–3373 (2008)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Zhao, Y., Wong, S.K.M., Yao, Y.: A Note on Attribute Reduction in the Decision-Theoretic Rough Set Model. In: Peters, J.F., Skowron, A., Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) Transactions on Rough Sets XIII. LNCS, vol. 6499, pp. 260–275. Springer, Heidelberg (2011) CrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.School of ScienceFoshan UniversityFoshanChina
  2. 2.Department of Computer ScienceUniversity of ReginaReginaCanada

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