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Study of Integrate Models of Rough Sets and Grey Systems

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Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

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Abstract

This paper firstly compares rough sets theory with grey system theory, then the concept of grey sets is proposed and the grey degree of grey sets and the basic relationships and operations of grey sets are defined. Next, we set up the models of grey rough sets and wide grey rough sets as well as study their properties. Moreover, the definition of rough grey sets is given and their basic characters are investigated. Furthermore, the relations between rough grey sets and grey rough sets are researched. Finally, we come to the conclusion that it is possibly more effective to deal with some uncertain problems if the theories and methods of rough sets and grey systems are combined.

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References

  1. Deng, J.L.: Control problems of grey systems. Systems & Control Letters (5), 288–294 (1982)

    Google Scholar 

  2. Liu, S.F., Guo, T.B.: Grey system theory and applications. Henan University Press, Zhengzhou

    Google Scholar 

  3. Pawlak, Z.: Rough Sets. International Journal of Computer and Information Sciences 11(1), 341–356 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  4. Morsi, N.N., Yakout, M.M.: Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems 100(1-3), 327–342 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Radzikowska, A.M., Kerre, E.E.: A comparative study of fuzzy rough sets. Fuzzy Sets and Systems 126(2), 137–155 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  6. Sarkar, M.: Rough fuzzy functions in classification. Fuzzy Sets and Systems 132(3), 353–369 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  7. Yao, Y.Y.: Two views of the theory of rough sets in finite universes. International Journal of Approximation Reasoning 15(4), 291–317

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© 2005 Springer-Verlag Berlin Heidelberg

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Shunxiang, W., Sifeng, L., Maoqing, L. (2005). Study of Integrate Models of Rough Sets and Grey Systems. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_166

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  • DOI: https://doi.org/10.1007/11539506_166

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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