Skip to main content
SpringerLink
Log in

A Note on Hamacher-Operators

  • Conference paper
Advances in Soft Computing, Intelligent Robotics and Control

Part of the book series: Topics in Intelligent Engineering and Informatics ((TIEI,volume 8))

Abstract

In his crucial paper Zadeh defined fuzzy operations in the “standard” way, by minimum and maximum [1]. However, in the same paper in a footnote he mentioned “intereractive operations” as an alternative, which were later known under the name “algebraic”:

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
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. Zadeh, L.A.: Fuzzy sets, Information and Control, pp. 338–353 (1965)

    Google Scholar 

  2. Hamacher, H.: Über logische Vernupfungen unscharfer Aussagen und deren Zugehörige Bewertungsfunctionen. In: Trappl, R., Klir, G.J., Ricciardi, L. (eds.) Progress in Cybernetics and Systems Research, Hempisphere, Washington, vol. 3, pp. 276–288 (1978)

    Google Scholar 

  3. Fodor, J.C., Keresztfalvi, T.: A characterization of the Hamacher family of t-norms. FSS 65, 51–58 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  4. Fullér, R., Keresztfalvi, T.: t-Norm-based addition of fuzzy intervals. FSS 51, 155–159 (1992)

    Article  Google Scholar 

  5. Batyrshin, I.Z., Rudas, I.J., Villa, L.A., Cortés, A.P.: On the monotone sum of basic t-norms in the construction of parametric families of digital conjunctors for fuzzy systems with reconfigurable logic. Knowledge-Based Systems, 27–36 (2013)

    Google Scholar 

  6. Kóczy, L.T.: Interactive-algebras and fuzzy objects of type N. J. of Cybernetics, 273–290 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Széchényi István University, Győr, Hungary

    László T. Kóczy

  2. Budapest University of Technology, Budapest, Hungary

    László T. Kóczy

Authors
  1. László T. Kóczy
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Applied Mathematics, Óbuda University, Budapest, Hungary

    János Fodor

  2. Department of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary

    Robert Fullér

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Kóczy, L.T. (2014). A Note on Hamacher-Operators. In: Fodor, J., Fullér, R. (eds) Advances in Soft Computing, Intelligent Robotics and Control. Topics in Intelligent Engineering and Informatics, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-05945-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-05945-7_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05944-0

  • Online ISBN: 978-3-319-05945-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation