Skip to main content

An Implementation of the Zdzisław Pawlak Idea for Reasoning about Uncertainty: Approximate Reasoning by Parts

  • Chapter
Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 42))

  • 1380 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Clay, R.: Relation of Leśniewski’s Mereology to Boolean Algebra. The Journal of Symbolic Logic 39, 638–648 (1974)

    Article  MathSciNet  Google Scholar 

  2. Hájek, P.: Metamathematics of Fuzzy Logic. Kluwer, Dordrecht (1998)

    Book  MATH  Google Scholar 

  3. Kloesgen, W., Żytkow, J. (eds.): Handbook of Data Mining and Knowledge Discovery. Oxford University Press, Oxford (2002)

    MATH  Google Scholar 

  4. Leśniewski, S.: Podstawy Ogólnej Teoryi Mnogości, I (Foundations of General Set Theory, I, in Polish). Prace Polskiego Koła Naukowego w Moskwie, Sekcya Matematyczno–przyrodnicza (2)(1916)

    Google Scholar 

  5. Leśniewski, S.: In: Srzednicki, J., Surma, S.J., Barnett, D., Rickey, V.F. (eds.) Collected Works of Stanisław Leśniewski. Kluwer, Dordrecht (1992)

    Google Scholar 

  6. Ling, C.-H.: Representation of associative functions. Publ. Math. Debrecen 12, 189–212 (1965)

    MathSciNet  Google Scholar 

  7. Menu, J., Pavelka, J.: A note on tensor products on the unit interval. Comm. Univ. Carolinae 17, 71–83 (1976)

    MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  9. Polkowski, L.: Approximate Reasoning by Parts. An Introduction to Rough Mereology. Springer, Berlin (2011)

    Book  Google Scholar 

  10. Polkowski, L., Semeniuk–Polkowska, M.: Some remarks on rough inclusions. In: Szczuka, M., Czaja, L., Skowron, A., Kacprzak, M. (eds.) Proceedings of the XXth International Workshop on Concurrency, Specification and Programming (CS&P 2011), Pułtusk, Poland, pp. 408–415. Białystok University of Technology, Poland (2011)

    Google Scholar 

  11. Polkowski, L.: Granulation of Knowledge: Similarity Based Approach in Information and Decision Systems. In: Meyers, R.A. (ed.) Springer Encyclopedia of Complexity and System Sciences, Springer, Berlin (2009); article 00 788

    Google Scholar 

  12. Polkowski, L., Artiemjew, P.: On Granular Rough Computing: Factoring Classifiers Through Granulated Decision Systems. In: Kryszkiewicz, M., Peters, J.F., Rybiński, H., Skowron, A. (eds.) RSEISP 2007. LNCS (LNAI), vol. 4585, pp. 280–289. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Polkowski, L.: Ośmiałowski, P.: Spatial reasoning with applications to mobile robotics. In: Jing, X.-J. (ed.) Motion Planning for Mobile Robots: New Advances, pp. 433–453. InTech, Vienna (2008)

    Google Scholar 

  14. Tarski, A.: Zur Grundlegung der Booleschen Algebra. I. Fundamenta Mathematicae 24, 177–198 (1935)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lech Polkowski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Polkowski, L., Semeniuk–Polkowska, M. (2013). An Implementation of the Zdzisław Pawlak Idea for Reasoning about Uncertainty: Approximate Reasoning by Parts. In: Skowron, A., Suraj, Z. (eds) Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam. Intelligent Systems Reference Library, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30344-9_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30344-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30343-2

  • Online ISBN: 978-3-642-30344-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics