Skip to main content

Optimistic Decision-Theoretic Rough Sets in Multi-covering Space

  • Conference paper
  • First Online:
Rough Sets (IJCRS 2016)

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

Included in the following conference series:

Abstract

This paper discusses optimistic multigranulation decision-theoretic rough sets in multi-covering space. First, by using the strategy “seeking commonality while preserving difference”, we propose the notion of optimistic multigranulation decision-theoretic rough sets on the basis of Bayesian decision procedure. Then, we investigate some important properties of the model. Finally, we investigate the relationships between the proposed model and other related rough set models.

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. 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. Fundamenta Informaticae. 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. Fundamenta Informaticae. 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. Approximate Reasoning 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. Approximate Reasoning 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. Approximate Reasoning 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)

    Chapter  Google Scholar 

  9. Zhou, B., Yao, Y., Luo, J.: A three-way decision approach to email spam filtering. In: Farzindar, A., Kešelj, V. (eds.) AI 2010. LNCS (LNAI), vol. 6085, pp. 28–39. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13059-5_6

    Chapter  Google Scholar 

  10. Li, H., Zhang, L., Huang, B., Zhou, X.: 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. Pedrycz, W.: Granular Computing: Analysis and Design of Intelligent Systems. CRC Press, Boca Raton (2013)

    Book  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  14. Qian, Y.H., Liang, J.Y., Yao, Y.Y., Dang, C.Y.: MGRS: A multi-granulation rough set. Inf. Sci. 180, 949–970 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Qian, Y.H., Liang, J.Y., Dang, C.Y.: Incomplete multigranulation rough set. IEEE Trans. Syst. Man Cybern. Part A 20, 420–430 (2010)

    Article  Google Scholar 

  16. Xu, W.H., Sun, W.X., Zhang, X.Y., Zhang, W.X.: Multiple granulation rough set approach to ordered information systems. Int. J. Gen. Syst. 41(5), 475–501 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Yang, X.B., Qi, Y., 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  MATH  Google Scholar 

  18. Huang, B., Guo, C.X., Zhuang, Y.L., Li, H.X., Zhou, X.Z.: Intuitionistic fuzzy multigranulation rough sets. Inf. Sci. 277, 299–320 (2014)

    Article  MathSciNet  Google Scholar 

  19. She, Y.H., He, X.L.: On the structure of the multigranulation rough set model. Knowl. Based Syst. 36, 81–92 (2012)

    Article  Google Scholar 

  20. Yao, Y., She, Y.: Rough set models in multigranulation spaces. Inf. Sci. 327, 40–56 (2016)

    Article  MathSciNet  Google Scholar 

  21. Zhang, X.H., Miao, D.Q., Liu, C.H., Le, M.L.: Constructive methods of rough approximation operators and multigranulation rough sets. Knowl. Based Syst. 91, 114–125 (2016)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  24. Liu, C.H., Cai, K.C.: Multi-granulation covering rough sets based on the union of minimal descriptions of elements. In: CAAI Transactions on Intelligent Systems, Accepted. (In Chinese)

    Google Scholar 

Download references

Acknowledgements

This work was supported by the China National Natural Science Foundation of Youth Science Foundation under Grant No.: 61305052, 61403329, the Key Technology Research and Development Program of Education Bureau of Jiangxi Province of China under Grant No.: GJJ14660, the Key Technology Research and Development Program of Jiangxi Province of China under Grant No.: 20142BBF60010, 20151BBF60071.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Caihui Liu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Liu, C., Wang, M. (2016). Optimistic Decision-Theoretic Rough Sets in Multi-covering Space. 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_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-47160-0_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47159-4

  • Online ISBN: 978-3-319-47160-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics