Skip to main content
SpringerLink
Log in

A New Subsystem-Based Definition of Generalized Rough Set Model

  • Conference paper
  • First Online:
Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9437))

  • 1391 Accesses

Abstract

The generalization of Pawlak rough set model always attracts the attentions of the researchers in the rough set society. In this paper, we propose a new subsystem-based definition of generalized rough set model and disclose the corresponding properties. We also discuss the interrelationships between our definition and the existing ones, the outputs show that our definition is effective and reasonable.

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

Access this chapter

Log in via an institution

Institutional subscriptions

References

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

    Article  MATH  Google Scholar 

  2. Yao, Y.Y.: Generalized rough set models. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Knowledge Discovery, pp. 286–318. Physica-Verlag, Heidelberg (1998)

    Google Scholar 

  3. Yao, Y.Y., Wong, S.K., Lingras, P.: A decision-theoretic rough setmodel. In: Ras, Z.W., Zemankova, M., Emrich, M.L. (eds.) Methodologies for Intelligent Systems, vol. 5, pp. 17–24. North-Holland, New York (1990)

    Google Scholar 

  4. Yao, Y.: Decision-theoretic rough set models. In: Yao, J.T., Lingras, P., Wu, W.-Z., Szczuka, M.S., Cercone, N.J., Ślȩzak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 1–12. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  5. Pei, D.W., Xu, Z.B.: Transformation of rough set models. Knowl. Based Syst. 20, 745–751 (2007)

    Article  Google Scholar 

  6. Zhu, W.: Generalized rough sets based on relations. Inf. Sci. 177(22), 4997–5011 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Zakowski, W.: Axiomatization in the space (\(U\), \(\pi \)). Demonstratio Mathematica XVI, 761–769 (1983)

    MATH  Google Scholar 

  8. Bonikowski, Z., Bryniariski, E., Skardowska, U.W.: Extension and intentions in the rough set theory. Inf. Sci. 107, 149–167 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zhu, W., Wang, F.Y.: Reduction and axiomatization of covering generalized rough sets. Inf. Sci. 152, 17–230 (2003)

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  11. He, Q., Wu, C.X., Chen, D.G.: Fuzzy rough set based attribute reduction for information systems with fuzzy decisions. Knowl. Based Syst. 24(5), 689–696 (2011)

    Article  Google Scholar 

  12. Huang, B.: Graded dominance interval-based fuzzy objective information systems. Knowl. Based Syst. 24(7), 1004–1012 (2011)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  14. Yao, Y.Y.: Constructive and algebraic methods of theory of rough sets. Inf. Sci. 109, 21–47 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhang, W.X., Wu, W.Z., Liang, J.Y., Li, D.Y.: Theory and Method of Rough Sets. Science Press, Beijing (2001). (in Chinese)

    Google Scholar 

  16. Liu, G.L., Zhu, K.: The relationship among three types of rough approximation pairs. Knowl. Based Syst. 60, 28–34 (2014)

    Article  Google Scholar 

  17. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers, Boston (1991)

    Book  MATH  Google Scholar 

  18. Yao, J.T., Ciucci, D., Zhang, Y.: Generalized rough sets. In: Kacprzyk, J., Pedrycz, W. (eds.) The Springer Handbook of Computational Intelligence, pp. 413–424. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  19. Yao, Y.Y.: On generalizing Pawlak approximation operators. In: Polkowski, L., Skowron, A. (eds.) RSCTC 1998. LNCS (LNAI), vol. 1424, pp. 298–307. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  20. Yao, Y.Y., Chen, Y.H.: Subsystem based generalizations of rough set approximations. In: Hacid, M.-S., Murray, N.V., Raś, Z.W., Tsumoto, S. (eds.) ISMIS 2005. LNCS (LNAI), vol. 3488, pp. 210–218. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  21. Wiweger, A.: On topological rough sets. Bull. Pol. Acad. Sci. Math. 37, 89–93 (1989)

    MathSciNet  MATH  Google Scholar 

  22. Javinen, J.: On the structure of rough approximations. Fundam. Inf. 53(2), 135–153 (2002)

    MathSciNet  Google Scholar 

  23. Cattaneo, G.: Abstract approximation spaces for rough theories. Rough Sets Knowl. Discov. 1, 59–98 (1998)

    MathSciNet  MATH  Google Scholar 

  24. Yao, Y.Y.: The two sides of the theory of rough sets. Knowl. Based Syst. 80, 67–77 (2015)

    Article  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 State Scholarship Fund of China (File No. 201409865003), 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

  1. Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, Jiangxi Province, People’s Republic of China

    Caihui Liu, Yanfei Dai & Yueli Luo

  2. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2G7, Canada

    Caihui Liu

  3. Department of Physical Education, Gannan Normal University, Ganzhou, 341000, China

    Meizhi Wang

Authors
  1. Caihui Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Meizhi Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yanfei Dai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yueli Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Caihui Liu .

Editor information

Editors and Affiliations

  1. University of Regina, Regina, SK, Canada

    Yiyu Yao

  2. Tianjin University, Tianjin, China

    Qinghua Hu

  3. Chongqing University of Posts and Telecommunications, Chongqing, China

    Hong Yu

  4. University of Kansas, Lawrence, KS, USA

    Jerzy W. Grzymala-Busse

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Liu, C., Wang, M., Dai, Y., Luo, Y. (2015). A New Subsystem-Based Definition of Generalized Rough Set Model. In: Yao, Y., Hu, Q., Yu, H., Grzymala-Busse, J.W. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. Lecture Notes in Computer Science(), vol 9437. Springer, Cham. https://doi.org/10.1007/978-3-319-25783-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-25783-9_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25782-2

  • Online ISBN: 978-3-319-25783-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation