Skip to main content

Modeling of High Quality Granules

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4585))

Abstract

In Granular Computing (GC) we search for granules satisfying some criteria. These criteria can be based on the minimal length principle, can express acceptable risk degrees of granules, or can use some utility functions. We discuss the role of approximation spaces in modeling granules satisfying such criteria.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds.): RSCTC 2002. LNCS (LNAI), vol. 2475, pp. 14–16. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  2. Bargiela, A., Pedrycz, W.: Granular Computing: An Introduction. Kluwer Academic Publishers, Dordrecht (2003)

    MATH  Google Scholar 

  3. Bazan, J.G., Kruczek, P., Bazan-Socha, S., Skowron, A., Pietrzyk, J.J.: Automatic planning of treatment of infants with respiratory failure through rough set modeling. In: RSCTC 2006. LNCS (LNAI), vol. 4259, pp. 418–427. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Bazan, J., Peters, J.F., Skowron, A.: Behavioral pattern identification through rough set modelling. In: Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 688–697. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Bazan, J., Osmólski, A., Skowron, A., Ślȩzak, D., Szczuka, M., Wróblewski, J.: Rough set approach to the survival analysis. In: [1], pp. 522–529

    Google Scholar 

  6. Byrd, D.M., Cothern, C.R.: Introduction to Risk Analysis: A Systematic Approach to Science-Based Decision Making. ABS Group, Rockville, MD (2000)

    Google Scholar 

  7. Fishburn, P.C.: Utility Theory for Decision Making, Robert E. Krieger Publishing Co, Huntington, NY (1970)

    Google Scholar 

  8. Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton, 1944 sec.ed (1947)

    Google Scholar 

  9. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences 177(1) 3–27 (2007), Rough sets: Some extensions. Information Sciences 177(1) 28–40 (2007), Rough sets and Boolean reasoning. Information Sciences 177(1) 41–73 (2007)

    Google Scholar 

  10. Pal, S.K., Polkowski, L., Skowron, A. (eds.): Rough-Neural Computing: Techniques for Computing with Words. Springer, Berlin (2004)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  12. Rissanen, J.: Minimum-description-length principle. In: Kotz, S., Johnson, N. (eds.) Encyclopedia of Statistical Sciences, pp. 523–527. John Wiley & Sons, New York (1985)

    Google Scholar 

  13. Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27, 245–253 (1996)

    MATH  MathSciNet  Google Scholar 

  14. Skowron, A., Stepaniuk, J.: Information granules: Towards foundations of granular omputing. International Journal of Intelligent Systems 16(1), 57–86 (2001)

    Article  MATH  Google Scholar 

  15. Skowron, A., Stepaniuk, J.: Information granules and rough-neural computing. In: [15], pp. 43–84.

    Google Scholar 

  16. Skowron, A., Stepaniuk, J.: Constrained sums of information systems. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 300–309. Springer, Heidelberg (2004)

    Google Scholar 

  17. Skowron, A., Synak, P.: Complex patterns. Fundamenta Informaticae 60(1-4), 351–366 (2004)

    MATH  MathSciNet  Google Scholar 

  18. Skowron, A., Synak, P.: Reasoning in information maps. Fundamenta Informaticae 59(2-3), 241–259 (2004)

    MATH  MathSciNet  Google Scholar 

  19. Stepaniuk, J.: Knowledge discovery by application of rough set models. In: Polkowski, L., Tsumoto, S., Lin, T.Y. (eds.) Rough Set Methods and Applications. New Developments in Knowledge Discovery in Information Systems, pp. 137–233. Physica–Verlag, Heidelberg (2000)

    Google Scholar 

  20. Stepaniuk, J., Skowron, A., Peters, J., Swiniarski, R.: Calculi of approximation spaces. Fundamenta Informaticae 72(1-3), 363–378 (2006)

    MATH  MathSciNet  Google Scholar 

  21. Ślȩzak, D.: Approximate entropy reducts. Fundamenta Informaticae 53(3-4), 365–390 (2002)

    MathSciNet  Google Scholar 

  22. Zadeh, L.A.: A new direction in AI: Toward a computational theory of perceptions. AI Magazine 22(1), 73–84 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marzena Kryszkiewicz James F. Peters Henryk Rybinski Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Skowron, A., Stepaniuk, J. (2007). Modeling of High Quality Granules. In: Kryszkiewicz, M., Peters, J.F., Rybinski, H., Skowron, A. (eds) Rough Sets and Intelligent Systems Paradigms. RSEISP 2007. Lecture Notes in Computer Science(), vol 4585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73451-2_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-73451-2_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73450-5

  • Online ISBN: 978-3-540-73451-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics