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Granular Computing Based on a Generalized Approximation Space

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Rough Sets and Knowledge Technology (RSKT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4481))

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Abstract

A family of overlapping granules can be formed by granulating a finite universe under a binary relation in a set-theoretic setting. In this paper, we granulate a universe by a binary relation and obtain a granular universe. And then we define two kinds of operators between these two universes, study properties of them. By combining these two kinds of operators, we get two pairs of approximation operators. It is proved that one kind of combination operators is just the approximation operators under a generalized approximation space defined according to Pawlak’s rough set theory.

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Author information

Authors and Affiliations

  1. Institute for Information and System Sciences, Faculty of Science, Xi’an Jiaotong University, Xi’an, Shaan’xi 710049, P.R. China

    Jian-Min Ma, Wen-Xiu Zhang & Tong-Jun Li

  2. Mathematics, Physics and Information College, Zhejiang Ocean University, Zhoushan, Zhejiang, 316004, P.R. China

    Wei-Zhi Wu & Tong-Jun Li

Authors
  1. Jian-Min Ma
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  2. Wen-Xiu Zhang
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  3. Wei-Zhi Wu
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  4. Tong-Jun Li
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Editor information

JingTao Yao Pawan Lingras Wei-Zhi Wu Marcin Szczuka Nick J. Cercone Dominik Ślȩzak

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© 2007 Springer Berlin Heidelberg

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Ma, JM., Zhang, WX., Wu, WZ., Li, TJ. (2007). Granular Computing Based on a Generalized Approximation Space. In: Yao, J., Lingras, P., Wu, WZ., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds) Rough Sets and Knowledge Technology. RSKT 2007. Lecture Notes in Computer Science(), vol 4481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72458-2_11

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  • DOI: https://doi.org/10.1007/978-3-540-72458-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72457-5

  • Online ISBN: 978-3-540-72458-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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