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On Separability of Intuitionistic Fuzzy Sets

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Novel Developments in Uncertainty Representation and Processing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 401))

Abstract

Intuitionistic fuzzy sets prove very useful in modelling uncertain and imprecise information when in the evaluations, concerned with a bipolar type of evidence, the “pro” and “contra” estimations do not sum to one (truth) but there is a degree of uncertainty. Relying on the concept of IF-neighbourhoods, introduced in Marinov et al. (On intuitionistic fuzzy metric neighbourhoods, 2015), we propose in this paper a few notions of separability between intuitionistic fuzzy sets and give some applications employing the extended modal operators.

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Acknowledgments

The authors are grateful for the support provided by Grant DFNI-I-02-5 “InterCriteria Analysis—A New Approach to Decision Making” of the Bulgarian National Science Fund.

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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

    Evgeniy Marinov, Peter Vassilev & Krassimir Atanassov

Authors
  1. Evgeniy Marinov
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  2. Peter Vassilev
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  3. Krassimir Atanassov
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Corresponding author

Correspondence to Evgeniy Marinov .

Editor information

Editors and Affiliations

  1. Inst. of Biophy. & Biomedical Eng., Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

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

    Oscar Castillo

  3. Sys Res Intit of Polish Acad of Science, Intelligent Systems Laboratory, Warsaw, Poland

    Janusz Kacprzyk

  4. Warsaw School of Information Technology, Polish Academy of Sciences, Warsaw, Poland

    Maciej Krawczak

  5. Div of Gdu Stud,CalzTecn sn,Fra.TomAqu, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

  6. Intelligent Systems Laboratory, Asen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

  7. Intelligent Systems Laboratory, “Prof. Dr. Asen Zlatarov” University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

  9. Dept. of Tele. & Info. Processing, Ghent University, Gent, Belgium

    Guy De Tré

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

    Sławomir Zadrożny

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Marinov, E., Vassilev, P., Atanassov, K. (2016). On Separability of Intuitionistic Fuzzy Sets. In: Atanassov, K., et al. Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent Systems and Computing, vol 401. Springer, Cham. https://doi.org/10.1007/978-3-319-26211-6_10

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  • DOI: https://doi.org/10.1007/978-3-319-26211-6_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26210-9

  • Online ISBN: 978-3-319-26211-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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