Skip to main content
SpringerLink
Log in

Granular Reasoning Using Zooming In & Out

Part 1. Propositional Reasoning (An Extended Abstract)

  • Conference paper
  • First Online:
Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2639))

Abstract

The concept of granular computing is applied to propositional reasoning. Such kind of reasoning is called granular reasoning in this paper. For the purpose, two operations called zooming in & out is introduced to reconstruct granules of possible worlds.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Google Scholar 

  2. Lin, T.Y. (1998): Granular Computing on Binary Relation, I & II. L. Polkowski et al. (eds.), Rough Sets in Knowledge Discovery 1: Methodology and Applications, Physica-Verlag, 107–121, 122–140.

    Google Scholar 

  3. Murai, T., M. Nakata, Y. Sato (2001): A Note on Filtration and Granular Reasoning, T. Terano et al. (eds.), New Frontiers in Artificial Intelligence, LNAI 2253, Springer, 385–389.

    Google Scholar 

  4. Murai, T., G. Resconi, M. Nakata, Y. Sato (2002): Operations of Zooming In & Out on Possible Worlds for Semantic Fields, E. Damiani et al. (eds.), Knowledge-Based Intelligent Information Engineering Systems and Allied Technologies, IOS press, 1083–1087.

    Google Scholar 

  5. Murai, T., G. Resconi, M. Nakata, Y. Sato (2003): Granular Reasoning Using Zooming In & Out: Part 2. Aristotle’s Categorical Syllogism. Proceedings of International Workshop on Rough Sets in Knowledge Discovery, to appear.

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  8. Resconi, G., T. Murai, M. Shimbo (2000): Field Theory and Modal Logic by Semantic Fields to Make Uncertainty Emerge from Information. Int. J. of General Systems, 29(5), 737–782.

    Article  MATH  MathSciNet  Google Scholar 

  9. Skowron, A. (2001): Toward Intelligent Systems: Calculi of Information Granules. T. Terano et al. (eds.), New Frontiers in Artificial Intelligence, LNAI 2253, Springer, 251–260, 2001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Graduate School of Engineering, Hokkaido University, Sapporo, 060-8628, Japan

    T. Murai & Y. Sato

  2. Dipartimento di Matematica, Universita Cattolica, 25128, Brescia, Italy

    G. Resconi

  3. Faculty of Management & Information Sciences, Josai International University, Togane, Chiba, 283-8555, Japan

    M. Nakata

Authors
  1. T. Murai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Resconi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Nakata
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Y. Sato
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, 400065, P.R. China

    Guoyin Wang

  2. Department of Computer Science, Nanchang University, Nanchang, 330029, P.R. China

    Qing Liu

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

    Yiyu Yao

  4. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Murai, T., Resconi, G., Nakata, M., Sato, Y. (2003). Granular Reasoning Using Zooming In & Out. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2003. Lecture Notes in Computer Science(), vol 2639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39205-X_70

Download citation

  • DOI: https://doi.org/10.1007/3-540-39205-X_70

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-14040-5

  • Online ISBN: 978-3-540-39205-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation