Skip to main content
SpringerLink
Log in

Extended Index Matrices

  • Conference paper
Intelligent Systems'2014

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 322))

  • 1492 Accesses

Abstract

In this paper, an extension of the concept of an index matrix is introduced and some of its basic properties are studied. Operations, relations and operators are defined over the new object.

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
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atanassov, K.: Conditions in generalized nets. In: Proc. of the XIII Spring Conf. of the Union of Bulg. Math. Sunny Beach, pp. 219–226 (April 1984)

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  3. Atanassov, K.: Intuitionistic Fuzzy Sets. STUDFUZZ, vol. 35. Springer, Heidelberg (1999)

    MATH  Google Scholar 

  4. Atanassov, K.: On index matrices. Part 1: Standard cases. Advanced Studies in Contemporary Mathematics 20(2), 291–302 (2010)

    MATH  MathSciNet  Google Scholar 

  5. Atanassov, K.: On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society 13(2), 121–126 (2010)

    MATH  MathSciNet  Google Scholar 

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

    Book  MATH  Google Scholar 

  7. Atanassov, K.: On index matrices, Part 3: On the hierarchical operation over index matrices. Advanced Studies in Contemporary Mathematics 23(2), 225–231 (2013)

    MATH  MathSciNet  Google Scholar 

  8. Atanassov, K.: On extended intuitionistic fuzzy index matrices. Notes on Intuitionistic Fuzzy Sets 19(4), 27–41 (2013)

    Google Scholar 

  9. Atanassov, K.: Index matrices with function-type of elements. Int. J. Information Models and Analyses 3(2), 103–112 (2014)

    Google Scholar 

  10. Atanassov, K., Sotirova, E., Bureva, V.: On index matrices. Part 4: New operations over index matrices. Advanced Studies in Contemporary Mathematics 23(3), 547–552 (2013)

    MATH  MathSciNet  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. Mink, H.: Permanents. Addison-Wesley, Reading (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Krassimir T. Atanassov

  2. Intelligent Systems Laboratory, Prof. Asen Zlatarov University, 1 Prof. Yakimov Blvd., 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

Editor information

Editors and Affiliations

  1. School of Computing and Communications, Lancaster University, Lancaster, United Kingdom

    P. Angelov

  2. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K.T. Atanassov

  3. Intelligent Systems Department, Bulgarian Academy of Sciences Inst. of Infor. & Communication Techn., Sofia, Bulgaria

    L. Doukovska

  4. Metalurgy, University of Chemical Technology and, Sofia, Bulgaria

    M. Hadjiski

  5. University of Library Studies and IT (ULSIT), Sofia, Bulgaria

    V. Jotsov

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

    J. Kacprzyk

  7. Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, Auckland, New Zealand

    N. Kasabov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University Faculty of Technical Sciences, Bourgas, Bulgaria

    S. Sotirov

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

    E. Szmidt

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

    S. Zadrożny

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Atanassov, K.T. (2015). Extended Index Matrices. In: Angelov, P., et al. Intelligent Systems'2014. Advances in Intelligent Systems and Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-11313-5_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11313-5_28

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11312-8

  • Online ISBN: 978-3-319-11313-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation