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The Basis Algebra in L-Fuzzy Rough Sets

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Rough Sets and Knowledge Technology (RSKT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5589))

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Abstract

The basis algebra and the binary relation are two important notions in the constructive approach of approximation operators in rough sets theory. This paper discusses the influence of the basis algebra on the properties of approximation operators. The properties of approximation operators based on residuated lattice, IMTL algebra and boolean algebra are presented respectively. Then, the influence of basic algebra on the properties of L-fuzzy rough approximation operators is shown through two examples.

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References

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Author information

Authors and Affiliations

  1. College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, 454000, P.R. China

    Zhengjiang Wu

  2. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454000, P.R. China

    Lingxiao Yang

  3. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 610031, P.R. China

    Tianrui Li

  4. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, P.R. China

    Keyun Qin

Authors
  1. Zhengjiang Wu
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  2. Lingxiao Yang
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  3. Tianrui Li
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  4. Keyun Qin
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Editor information

Editors and Affiliations

  1. Faculty of Engineering and Surveying and Engineering, University of Southern Queensland, QLD 4350, Australia

    Peng Wen

  2. School of Information Technology, Queensland University of Technology, QLD 4001, Brisbane, Australia

    Yuefeng Li

  3. Institute of Mathematics, Warsaw University of Technology, Koszykowa 86, 02008, Warsaw, Poland

    Lech Polkowski

  4. Department of Computer Science, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada

    Yiyu Yao

  5. Faculty of Medicine, Department of Medical Informatics, Shimane University, 89-1 Enya-cho, Izumo, 693-8501, Shimane, Japan

    Shusaku Tsumoto

  6. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

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© 2009 Springer-Verlag Berlin Heidelberg

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Wu, Z., Yang, L., Li, T., Qin, K. (2009). The Basis Algebra in L-Fuzzy Rough Sets. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds) Rough Sets and Knowledge Technology. RSKT 2009. Lecture Notes in Computer Science(), vol 5589. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02962-2_40

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  • DOI: https://doi.org/10.1007/978-3-642-02962-2_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02961-5

  • Online ISBN: 978-3-642-02962-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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