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S-Rough Sets and -Knowledge Hiding-Discovery

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

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Abstract

Singular rough sets (for short S-rough sets)have three forms: one direction S-rough sets, dual of one direction S-rough sets and two direction S-rough sets. Dynamic, hereditary, mnemonic and hiding properties are the basic characteristics of S-rough sets. By employing two direction S-rough sets, the concepts of \((f,\overline{f})\)-hiding knowledge, -hiding knowledge, hiding degree and hiding dependence degree are given. Then the hiding theorem and the hiding dependence theorem of hiding knowledge are proposed. Finally, an application of hiding knowledge to profit analysis of economy system is presented.

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References

  1. Shi, K.Q.: S-rough sets and its applications in diagnosis-recognition for disease. In: IEEE Proceedings of the First International Conference on Machine Learning and Cybernetics, vol. (1), pp. 50–54 (2002)

    Google Scholar 

  2. Shi, K.Q., Cui, Y.Q.: S-rough sets and its general structure. Journal of Shandong University (natural science) (6), 471–474 (2002) (in Chinese)

    MathSciNet  Google Scholar 

  3. Shi, K.Q., Cui, Y.Q.: F-decomposition and \(\overline F\)-reduction of S-rough sets. An International Journal Advances in Systems Science and Applications (4), 487–499 (2004)

    Google Scholar 

  4. Shi, K.Q., Cui, Y.Q.: One direction S-rough decision and its decision model. In: IEEE Proceedings of the International Conference on Machine Leaning and Cybernetics, vol. (3), pp. 1073–1078 (2004)

    Google Scholar 

  5. Shi, K.Q.: S-rough Sets and Knowledge Separation. Journal of Systems Engineering and Electronics (2), 401–410 (2005)

    Google Scholar 

  6. Shi, K.Q., Chang, T.C.: One direction S-rough sets. International Journal of Fuzzy Mathematics (2), 319–334 (2005)

    MathSciNet  Google Scholar 

  7. Shi, K.Q.: Two direction S-rough sets. International Journal of Fuzzy Mathematics (2), 335–349 (2005)

    Google Scholar 

  8. Lu, C.J., Shi, K.Q.: Knowledge filter and its dependent reasoning discovery. International Journal of Fuzzy Mathematics (3), 502–510 (2005)

    Google Scholar 

  9. Shi, K.Q., Cui, Y.Q.: Decomposition and reduction of S-rough sets. Journal of Systems Engineering and Electronics (2), 646–651 (2005) (in chinese)

    Google Scholar 

  10. Wang, H.Q., Liu, Y.L., Shi, K.Q.: Memory Knowledge and its memory mining. An International Journal Advances in Systems Sciences and Applications (4), 546–553 (2005)

    Google Scholar 

  11. Shi, K.Q.: S-rough sets and new material discovery-recognition. Journal of Systems Engineering and Electronics (3), 383–388 (2006)

    Google Scholar 

  12. Shi, K.Q., Cui, Y.Q.: S-rough sets and rough decision, pp. 39–54. Science Press, Beijing (2006)

    Google Scholar 

  13. Pawlak, Z.: Rough sets. International Journal of Computer and Information Science (11), 341–356 (1982)

    Article  MATH  MathSciNet  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Fu, Hy., Shi, Kq., Zhang, Cy. (2009). S-Rough Sets and -Knowledge Hiding-Discovery. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_74

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_74

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

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