Skip to main content
SpringerLink
Log in

Intuitionistic Fuzzy Neural Networks with Interval Valued Intuitionistic Fuzzy Conditions

  • Chapter
  • First Online:
Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 862))

Abstract

This paper describes a new approach for Intuitionistic fuzzy neural networks with interval valued intuitionistic fuzzy conditions. The theoretical basis for the new approach is presented, and well as examples to illustrate the proposed concepts and ideas. This paper can be viewed as the initial foundation of the area of intuitionistic fuzzy neural networks, and in future papers more results will be presented.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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

References

  1. Angelova, N., Stoenchev, M.: Intuitionistic fuzzy conjunctions and disjunctions from first type, Annual of “Informatics” Section, Union of Scientists in Bulgaria, vol. 8, pp. 1–17 (2015/2016)

    Google Scholar 

  2. Angelova, N., Stoenchev, M.: Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues Intuit.Istic Fuzzy Sets Gen. Nets 13, 143–170 (2017)

    MATH  Google Scholar 

  3. Angelova, N., Stoenchev, M.: Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes Intuitionistic Fuzzy Sets 23(5), 29–41 (2017)

    Google Scholar 

  4. Atanassov K.: Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18 (1987)

    Google Scholar 

  5. Atanassov, K.: Intuitionistic Fuzzy Sets. Springer, Heldelberg (1999)

    Book  Google Scholar 

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

    Book  Google Scholar 

  7. Atanassov, K.: Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham (2014)

    MATH  Google Scholar 

  8. Atanassov, K.: Intuitionistic fuzzy logics as tools for evaluation of data mining processes. Knowl.-Based Syst. 80, 122–130 (2015)

    Article  Google Scholar 

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

    Book  Google Scholar 

  10. Atanassov, K., Sotirov , S., Krawszak, M.: Generalized net model of the intuitionistic fuzzy feed forward neural network. Notes on Intuitionistic Fuzzy Sets 15(2), 18–23 (2009)

    Google Scholar 

  11. Atanassov, K., Szmidt, E., Kacprzyk, J.: On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13 (2013)

    Google Scholar 

  12. Atanassov, K., Vassilev, P., Kacprzyk, J., Szmidt, E.: On interval valued intuitionistic fuzzy pairs. J. Univers. Math. 1(3), 261–268 (2018)

    Google Scholar 

  13. Hadjyisky, L., Atanassov, K.: Intuitionistic fuzzy model of a neural network. BUSEFAL 54, 36–39 (1993)

    Google Scholar 

  14. Hadjyisky, L., Atanassov, K.: Generalized net model of the intuitionistic fuzzy neural networks. Adv. Model. Anal. 23(2), 59–64 (1995)

    Google Scholar 

  15. Krawczak, M., El-Darzi, E., Atanassov, K., Tasseva, V.: Generalized net for control and optimization of real processes through neural networks using intuitionistic fuzzy estimations. Notes on Intuitionistic Fuzzy Sets, 13(2), 54–60 (2007)

    Google Scholar 

  16. Kuncheva L., Atanassov, A.: An Intuitionistic fuzzy RBF network. In: Proceedings of EUFIT96, Aachen, Sept. 2–5, 777–781 (1996)

    Google Scholar 

  17. Sotirov, S., Atanassov, K.: Intuitionistic fuzzy feed forward neural network. Cybern. Inf. Technol. 9(2), 62–68 (2009)

    Google Scholar 

  18. Sotirov, S., Sotirova, E., Atanassova, V., Atanassov, K., Castillo, O., Melin, P., Petkov, T., Surchev, S.: A Hybrid Approach for modular neural network design using intercriteria analysis and intuitionistic fuzzy logic. Complexity 2018, Article ID 3927951, 11p, https://doi.org/10.1155/2018/3927951

    Article  Google Scholar 

  19. Sotirov, S., Sotirova, E., Melin, P., Castillo, O., Atanassov, K.: Modular neural network preprocessing procedure with intuitionistic fuzzy intercriteria analysis method. In: T. Andreasen, et al. (Eds.) Flexible Query Answering Systems 2015, pp. 175–186. Springer, Cham (2016)

    Google Scholar 

Download references

Acknowledgements

The first two authors are thankful for the support provided by the Bulgarian National Science Fund under Grant Ref. No. DN-02-10/2016 “New Instruments for Knowledge Discovery from Data, and their Modelling”.

Author information

Authors and Affiliations

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

    Krassimir Atanassov

  2. Intelligent systems laboratory, Assen Zlatarov University, 8010, Burgas, Bulgaria

    Krassimir Atanassov & Sotir Sotirov

  3. Department of Computer Informatics Faculty of Mathematics and Informatics, Sofia University, 5, James Bourchier Blvd., 1164, Sofia, Bulgaria

    Nora Angelova

Authors
  1. Krassimir Atanassov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sotir Sotirov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nora Angelova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sotir Sotirov .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

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

    Janusz Kacprzyk

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Atanassov, K., Sotirov, S., Angelova, N. (2020). Intuitionistic Fuzzy Neural Networks with Interval Valued Intuitionistic Fuzzy Conditions. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications. Studies in Computational Intelligence, vol 862. Springer, Cham. https://doi.org/10.1007/978-3-030-35445-9_9

Download citation

Publish with us

Policies and ethics

Search

Navigation