Skip to main content
SpringerLink
Log in
Book cover

On Fuzziness pp 11–15Cite as

On Zadeh’s Intuitionistic Fuzzy Disjunctions and Conjunctions

  • Chapter

  • 1698 Accesses

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 298))

Abstract

Two new operations, called “Second Zadeh’s intuitionistic fuzzy disjunction and conjunction” are introduced on the basis of the Second Zadeh’s intuitionistic fuzzy implication. Some of their properties are studied.

This is a preview of subscription content, 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   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atanassov, K.: Two Variants of Intuitonistic Fuzzy Propositional Calculus, Preprint IM-MFAIS-5-88, Sofia (1988)

    Google Scholar 

  2. Atanassov, K.: Two Variants of Intuitionistic Fuzzy Modal Logic, Preprint IM-MFAIS-3-89, Sofia (1989)

    Google Scholar 

  3. Atanassov, K.: Intuitionistic Fuzzy Sets. Springer, Heidelberg (1999)

    MATH  Google Scholar 

  4. Atanassov, K.: Remarks on the Conjunctions, Disjunctions and Implications of the Intuitionistic Fuzzy Logic. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9(1), 55–65 (2001)

    MathSciNet  MATH  Google Scholar 

  5. Atanassov, K.: Intuitionistic Fuzzy Implications and Modus Ponens. Notes on Intuitionistic Fuzzy Sets 11(1), 1–5 (2005), http://ifigenia.org/wiki/issue:nifs/11/1/01-05

    Google Scholar 

  6. Atanassov, K.: On Some Intuitionistic Fuzzy Implications. Comptes Rendus de l’Academie Bulgare des Sciences, Tome 59(1), 19–24 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Atanassov, K.: On Zadeh’s Intuitionistic Fuzzy Disjunction and Conjunction. Notes on Intuitionistic Fuzzy Sets 17(1), 1–4 (2011)

    Google Scholar 

  8. Atanassov, K.: Second Zadeh’s Intuitionistic Fuzzy Implication. Notes on Intuitionistic Fuzzy Sets 17(3), 11–14 (2011)

    MathSciNet  Google Scholar 

  9. Feis, R.: Modal Logics. Gauthier-Villars, Paris (1965)

    Google Scholar 

  10. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Theory and Applications. Prentice Hall, New Jersey (1995)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Atanassov

Authors
  1. Krassimir Atanassov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. , Edificio de Investigación, European Centre for Soft Computing, C Gonzalo Gutiérrez Quirós S/N, Mieres, 33600, Spain

    Rudolf Seising

  2. Edificio de Investigación, 3ª Planta., European Centre for Soft Computing, C Gonzalo Gutiérrez Quirós S/N, Mieres, 33600, Asturias, Spain

    Enric Trillas

  3. Edificio de Investigación, 3ª Planta., European Centre for Soft Computing, Asturias, Mieres, 33600, Spain

    Claudio Moraga

  4. , Department of Mathematic and Informatics, Università di Palermo, Via Archirafi 34, Palermo, 90123, Italy

    Settimo Termini

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Atanassov, K. (2013). On Zadeh’s Intuitionistic Fuzzy Disjunctions and Conjunctions. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35641-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35640-7

  • Online ISBN: 978-3-642-35641-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation