Skip to main content
SpringerLink
Log in

Two Intuitionistic Fuzzy Modal-Level Operators

  • Conference paper
  • First Online:
Book cover Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 641))

  • 880 Accesses

Abstract

Two new intuitionistic fuzzy operators are introduced. For them it is shown that they have a behaviour similar both to the modal, as well as to the level operators, defined over intuitionistic fuzzy sets and for this reason, they are called intuitionistic fuzzy modal-level operators. Their basic properties are discussed.

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 EPUB and 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Atanassov, K.: Intuitionistic fuzzy sets. In: VII ITKR’s Session, Sofia, June 1983. (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.), Reprinted: Int. J. Bioautom. 20(S1), S1–S6 (2016)

    Google Scholar 

  2. Atanassov, K.: A universal operator over intuitionistic fuzzy sets. Comput. Rend. Acad. Bulg. Sci. Tome 46(1), 13–15 (1993)

    MathSciNet  MATH  Google Scholar 

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

    Book  MATH  Google Scholar 

  4. Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)

    Book  MATH  Google Scholar 

  5. Atanassov, K.: A short remark on intuitionistic fuzzy operators \(X_{a, b, c, d, e, f}\) and \(x_{a, b, c, d, e, f}\). Notes Intuitionistic Fuzzy Sets 19(1), 54–56 (2013)

    MathSciNet  Google Scholar 

  6. Atanassov, K.: Intuitionistic Fuzzy Logics. Springer, Cham (2017)

    Book  MATH  Google Scholar 

  7. Çuvalcioĝlu, G.: Some properties of \(E_{\alpha ,\beta }\) operator. Adv. Stud. Contemp. Math. 14(2), 305–310 (2007)

    Google Scholar 

  8. Dencheva, K.: Extension of intuitionistic fuzzy modal operators and . In: Proceedings of the Second International IEEE Symposium: Intelligent Systems, Varna, 22–24 June 2004, vol. 3, pp. 21–22 (2004)

    Google Scholar 

Download references

Acknowledgement

The present research has been supported by the Bulgarian National Science Fund under Grant Ref. No. DFNI-I-02-5 “InterCriteria Analysis: A New Approach to Decision Making”.

Author information

Authors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, 1113, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Intelligent Systems Laboratory, Prof. Asen Zlatarov University, 8010, Bourgas, Bulgaria

    Krassimir T. Atanassov

Authors
  1. Krassimir T. Atanassov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Krassimir T. Atanassov .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

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

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Atanassov, K.T. (2018). Two Intuitionistic Fuzzy Modal-Level Operators. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-66830-7_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation