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Extended Interval Valued Intuitionistic Fuzzy Index Matrices

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Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

Abstract

Index Matrices (IMs) are extensions of the ordinary matrices. They are also an object of extensions and modifications, e.g., intuitionistic fuzzy IM and extended intuitionistic fuzzy IM. On the other hand, the intuitionistic fuzzy sets are extended to interval valued intuitionistic fuzzy sets. In the present research, we introduce interval valued intuitionistic fuzzy IMs and describe some of the basic operations, relations and operators over them.

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References

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Acknowledgments

The author is 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”.

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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 Atanassov

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

    Krassimir Atanassov

Authors
  1. Krassimir Atanassov
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Corresponding author

Correspondence to Krassimir Atanassov .

Editor information

Editors and Affiliations

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

    Krassimir T. Atanassov

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

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kaluszko

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

    Maciej Krawczak

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

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Slawomir Zadrozny

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Atanassov, K. (2021). Extended Interval Valued Intuitionistic Fuzzy Index Matrices. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_1

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