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The Models of Dominance–Based Multigranulation Rough Sets

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Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 6840))

Abstract

In this paper, the dominance–based rough set approach is introduced into multigranulation environment. Two different dominance–based multigranulation rough sets models: dominance–based optimistic multigranulation rough set and dominance–based pessimistic multigranulation rough set are constructed, respectively. Not only the properties of these two dominance–based multigranulation rough sets are discussed, but also the relationships among dominance–based optimistic multigranulation rough set, dominance–based pessimistic multigranulation rough set and the classical dominance–based rough set are investigated.

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References

  1. Pawlak, Z.: Rough Sets–Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  2. Pawlak, Z., Skowron, A.: Rudiments of Rough Sets. Inform. Sci. 177, 3–27 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Pawlak, Z., Skowron, A.: Rough Sets: Some Extensions. Inform. Sci. 177, 28–40 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Pawlak, Z., Skowron, A.: Rough Sets and Boolean Reasoning. Inform. Sci. 177, 41–73 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Greco, S., Inuiguchi, M., Słowiński, R.: Fuzzy Rough Sets and Multiple–Premise Gradual Decision Rules. Int. J. Approx. Reason. 41, 179–211 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Greco, S., Matarazzo, B., Słowiński, R.: Rough Approximation by Dominance Relations. Int. J. Intell. Syst. 17, 153–171 (2002)

    Article  MATH  Google Scholar 

  7. Greco, S., Matarazzo, B., Słowiński, R.: Rough Sets Theory for Multicriteria Decision Analysis. Euro. J. Oper. Res. 129, 1–47 (2002)

    Article  MATH  Google Scholar 

  8. Qian, Y.H., Dang, C.Y., Liang, J.Y.: MGRS in Incomplete Information Systems. In: 2007 IEEE International Conference on Granular Computing, pp. 163–168 (2007)

    Google Scholar 

  9. Qian, Y.H., Liang, J.Y., Yao, Y.Y., Dang, C.Y.: MGRS: A Multi–Granulation Rough set. Inform. Sci. 180, 949–970 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Qian, Y.H., Liang, J.Y., Dang, C.Y.: Incomplete Multigranulation Rough set, IEEE T. Syst. Man Cy. B. 20, 420–431 (2010)

    Article  Google Scholar 

  11. Qian, Y.H., Liang, J.Y., Wei, W.: Pessimistic Rough Decision. In: Second International Workshop on Rough Sets Theory, pp. 440–449 (2010)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Yang, X. (2012). The Models of Dominance–Based Multigranulation Rough Sets. In: Huang, DS., Gan, Y., Premaratne, P., Han, K. (eds) Bio-Inspired Computing and Applications. ICIC 2011. Lecture Notes in Computer Science(), vol 6840. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24553-4_87

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  • DOI: https://doi.org/10.1007/978-3-642-24553-4_87

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24552-7

  • Online ISBN: 978-3-642-24553-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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