Skip to main content

From (Deductive) Fuzzy Logic to (Logic-Based) Fuzzy Mathematics

  • Conference paper
Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5590))

  • 1264 Accesses

Abstract

It is indisputable that mathematical structures arising around vague/ fuzzy/ non-bivalent concepts have a broad range of applications; therefore they have been intensively investigated during the last five decades. The discipline studying these structures is, maybe unfortunately, called Fuzzy Mathematics.

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 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

References

  1. Běhounek, L.: On the difference between traditional and deductive fuzzy logic. Fuzzy Sets and Systems 159(10), 1153–1164 (2008)

    Article  MATH  Google Scholar 

  2. Běhounek, L., Bodenhofer, U., Cintula, P.: Relations in Fuzzy Class Theory: Initial steps. Fuzzy Sets and Systems 159(14), 1729–1772 (2008)

    Article  MATH  Google Scholar 

  3. Běhounek, L., Cintula, P.: Fuzzy class theory. Fuzzy Sets and Systems 154(1), 34–55 (2005)

    Article  MATH  Google Scholar 

  4. Běhounek, L., Cintula, P.: From fuzzy logic to fuzzy mathematics: A methodological manifesto. Fuzzy Sets and Systems 157(5), 642–646 (2006)

    Article  MATH  Google Scholar 

  5. Běhounek, L., Cintula, P.: Fuzzy Class Theory: A primer v1.0. Technical Report V-939, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague (2006), www.cs.cas.cz/research/library/reports_900.shtml

  6. Gottwald, S.: Fuzzy Sets and Fuzzy Logic: Foundations of Application—from a Mathematical Point of View. Vieweg, Wiesbaden (1993)

    Book  MATH  Google Scholar 

  7. Zadeh, L.A.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cintula, P. (2009). From (Deductive) Fuzzy Logic to (Logic-Based) Fuzzy Mathematics. In: Sossai, C., Chemello, G. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2009. Lecture Notes in Computer Science(), vol 5590. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02906-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02906-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02905-9

  • Online ISBN: 978-3-642-02906-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics