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Covering-Based Optimistic Multigranulation Decision-Theoretic Rough Sets Based on Maximal Descriptors

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Rough Sets (IJCRS 2017)

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Abstract

This paper investigates decision-theoretic rough set approach in the frameworks of multi-covering approximation space. We mainly discuss optimistic multigranulation decision-theoretic rough sets by employing maximal descriptors of elements. First, we present the definitions of covering-based optimistic multigranulation decision-theoretic rough sets on the basis of Bayesian decision procedure. Then, we disclose some important and interesting properties of the model. Finally, we investigate the relationships between the proposed model and other related rough set models.

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References

  1. Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximating concepts. Int. J. Man-Mach. Stud. 37, 793–809 (1992)

    Article  Google Scholar 

  2. Herbert, J.P., Yao, J.T.: Game-theoretic rough sets. Fundam. Inform. 108(3–4), 267–286 (2011)

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  4. Yu, H., Liu, Z.G., Wang, G.Y.: An automatic method to determine the number of clusters using decision-theoretic rough set. Int. J. Approx. Reason. 55(1), 101–115 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  5. Li, T.J., Yang, X.P.: An axiomatic characterization of probabilistic rough sets. Int. J. Approx. Reason. 55(1), 130–141 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. 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 

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

    Article  MathSciNet  Google Scholar 

  8. Yao, Y.: An outline of a theory of three-way decisions. In: Yao, J.T., Yang, Y., Słowiński, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS, vol. 7413, pp. 1–17. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32115-3_1

    Chapter  Google Scholar 

  9. Zhou, B., Yao, Y.Y., Luo, J.G.: A three-way decision approach to email spam filtering. In: Farzindar, A., Keselj, V. (eds.) Canadian AI 2010, LNAI 6085, pp. 28–39. Springer, Berlin (2010)

    Google Scholar 

  10. Li, H.X., Zhang, L.B., Huang, B., Zhou, X.Z.: Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl.-Based Syst. 91, 241–251 (2016)

    Article  Google Scholar 

  11. Zhang, H.R., Min, F.: Three-way recommender systems based on random forests. Knowl.-Based Syst. 91, 275–286 (2016)

    Article  Google Scholar 

  12. Qian, Y.H., Zhang, H., Sang, Y.L., Liang, J.L.: Multigranulation decision-theoretic rough sets. Int. J. Approx. Reason. 55(1), 225–237 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  13. Qian, Y.H., Liang, X.Y., Lin, G.P., et al.: Local multigranulation decision-theoretic rough sets. Int. J. Approx. Reason. 82, 119–137 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  14. Liu, C., Wang, M.: Optimistic decision-theoretic rough sets in multi-covering space. In: Flores, V., Gomide, F., Janusz, A., Meneses, C., Miao, D., Peters, G., Ślȩzak, D., Wang, G., Weber, R., Yao, Y. (eds.) IJCRS 2016. LNCS, vol. 9920, pp. 282–293. Springer, Cham (2016). doi:10.1007/978-3-319-47160-0_26

    Chapter  Google Scholar 

  15. Yao, Y.Y., Yao, B.: Covering based rough set approximations. Inf. Sci. 200, 91–107 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  16. Zakowski, W.: Approximations in the space \((U,\Pi )\). Demonstr. Math. 16, 761–769 (1983)

    MATH  Google Scholar 

  17. Liu, C.H.: Covering-based multi-granulation rough set model based on maximal description of elements. Comput. Sci. 40(12), 64–67 (2013). (In Chinese)

    Google Scholar 

  18. Liu, C.H., Cai, K.C.: Multi-granulation covering rough sets based on the union of minimal descriptions of elements. CAAI Trans. Intell. Syst. 11(4), 534–538 (2016). (in Chinese)

    MathSciNet  Google Scholar 

  19. Zhu, W., Wang, F.Y.: On three types of covering rough sets. IEEE Trans. Knowl. Data Eng. 19, 1131–1144 (2007)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the China National Natural Science Foundation of Science Foundation under Grant Nos.: 61663002, 61403329, 61305052 and Jiangxi Province Natural Science Foundation of China under Grant No.: 20171BAB202034.

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Correspondence to Caihui Liu .

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Liu, C., Wang, M., Zhang, N. (2017). Covering-Based Optimistic Multigranulation Decision-Theoretic Rough Sets Based on Maximal Descriptors. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_17

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  • DOI: https://doi.org/10.1007/978-3-319-60840-2_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60839-6

  • Online ISBN: 978-3-319-60840-2

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