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Four Distances for Circular Intuitionistic Fuzzy Sets

Author

Listed:
  • Krassimir Atanassov

    (Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
    These authors contributed equally to this work.)

  • Evgeniy Marinov

    (Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
    These authors contributed equally to this work.)

Abstract

In the paper, for the first time, four distances for Circular Intuitionistic Fuzzy Sets (C-IFSs) are defined. These sets are extensions of the standard IFS that are extensions of Zadeh’s fuzzy sets. As it is shown, the distances for the C-IFS are different than those for the standard IFSs. At the moment, they do not have analogues in fuzzy sets theory. Examples, comparing the proposed distances, are given and some ideas for further research are formulated.

Suggested Citation

  • Krassimir Atanassov & Evgeniy Marinov, 2021. "Four Distances for Circular Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 9(10), pages 1-8, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1121-:d:555364
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    References listed on IDEAS

    as
    1. Shouzhen Zeng, 2013. "Some Intuitionistic Fuzzy Weighted Distance Measures and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 281-298, March.
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    Cited by:

    1. Oscar Castillo & Patricia Melin, 2022. "Towards Interval Type-3 Intuitionistic Fuzzy Sets and Systems," Mathematics, MDPI, vol. 10(21), pages 1-13, November.

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