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Rough Set Theory and Granular Computing pp 89–96Cite as

A Remark on Granular Reasoning and Filtration

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 125))

Abstract

The filtration method in modal logic is considered to formulate an aspect of granular reasoning, which, roughly speaking, means human reasoning based on granularity in this paper. The method, however, originates in purely logical problems like decidability. For the purpose in this paper, an extended concept of relative filtration is newly introduced using lower and upper approximations in rough set theory. An example of reasoning processes using the relative filtration is illustrated.

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References

  1. Chellas, B.F. (1980): Modal Logic: An Introduction. Cambridge University Press, Cambridge.

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  3. Pawlak, Z. (1982): Rough Sets. Int. J. Computer and Information Sciences, 11, 341–356.

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  4. Pawlak, Z. (1991): Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht.

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Author information

Authors and Affiliations

  1. Research Group of Mathematical Information Engineering, Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo, 060-8628, Japan

    Tetsuya Murai & Yoshiharu Sato

  2. Department of Environment and Information Management for Social Welfare, Josai International University, 1 Gumyo, Togane, Chiba, 283-8555, Japan

    Michinori Nakata

Authors
  1. Tetsuya Murai
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  2. Michinori Nakata
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  3. Yoshiharu Sato
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Editor information

Editors and Affiliations

  1. Graduate School of Engineering, Osaka University, Yamada-Oka, Suita 2-1, 565-0871, Osaka, Japan

    Masahiro Inuiguchi

  2. Shimane Medical University, Enya-Cho 89-1, 693-8501, Izumo, Shimane-ken, Japan

    Shoji Hirano  & Shusaku Tsumoto  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Murai, T., Nakata, M., Sato, Y. (2003). A Remark on Granular Reasoning and Filtration. In: Inuiguchi, M., Hirano, S., Tsumoto, S. (eds) Rough Set Theory and Granular Computing. Studies in Fuzziness and Soft Computing, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36473-3_9

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  • DOI: https://doi.org/10.1007/978-3-540-36473-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05614-7

  • Online ISBN: 978-3-540-36473-3

  • eBook Packages: Springer Book Archive

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