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A Note on Filtration and Granular Reasoning

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Book cover New Frontiers in Artificial Intelligence (JSAI 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2253))

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Abstract

The filtration method in modal logic is considered to develop a way of formulating an aspect of granular reasoning, which, roughly speaking, means human reasoning based on granularity. The method, however, originates in purely logical problems like decidability. Then, for our purpose, an extended concept of relative filtration is newly introduced using lower and upper approximations in rough set theory. An example of reasoning process using the relative filtration is illustrated.

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References

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

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  2. Lin, T.Y. (1998): Granular Computing on Binary Relation, I Data Mining and Neighborhood Systems, II Rough Set Representations and Belief Functions. L. Polkowski and A. Skowron (eds.), Rough Sets in Knowledge Discovery 1: Methodology and Applications, Physica-Verlag, Heidelberg, 107–121, 122-140

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

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Author information

Authors and Affiliations

  1. Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University, 060-8628, Kita-ku, Sapporo, Japan

    Tetsuya Murai & Yoshiharu Sato

  2. Department of Environment and Information Management for Social Welfare, Josai International University, 283-855, Togane, Chiba, 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 Business Science, The University of Tsukuba, Tokyo

    Takao Terano  & Yukio Ohsawa  & 

  2. School of Engineering, The University of Tokyo, Tokyo

    Toyoaki Nishida

  3. Dept.of Computer Science, National Defense Academy, Japan

    Akira Namatame

  4. School of Medicines, Shimane Medical University, Japan

    Syusaku Tsumoto

  5. The Institute of Scientific and Industrial Research, Osaka University, Osaka

    Takashi Washio

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© 2001 Springer-Verlag Berlin Heidelberg

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Murai, T., Nakata, M., Sato, Y. (2001). A Note on Filtration and Granular Reasoning. In: Terano, T., Ohsawa, Y., Nishida, T., Namatame, A., Tsumoto, S., Washio, T. (eds) New Frontiers in Artificial Intelligence. JSAI 2001. Lecture Notes in Computer Science(), vol 2253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45548-5_51

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  • DOI: https://doi.org/10.1007/3-540-45548-5_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43070-4

  • Online ISBN: 978-3-540-45548-6

  • eBook Packages: Springer Book Archive

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