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Intuitionistic Fuzzy Modal Topological Structure

Author

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  • Krassimir Atanassov

    (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)

Abstract

The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) or for brevity, Intuitionistic Fuzzy Modal Topology (IFMT), is introduced. It is proved that the two standard intuitionistic fuzzy topological operators C and I , and the two standard intuitionistic fuzzy modal operators ☐ and ♢ generate two different IFMTs. Some basic properties of both IFMTs are discussed. Some important properties of the intuitionistic fuzzy modal and topological operators are discussed. These properties will be a basis of next research on the IFMTSs. Ideas for future development of the IFMT theory are formulated.

Suggested Citation

  • Krassimir Atanassov, 2022. "Intuitionistic Fuzzy Modal Topological Structure," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3313-:d:913342
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    Citations

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    Cited by:

    1. Chenyang Gao & Teng Li & Yuelin Gao & Ziyu Zhang, 2024. "A Comprehensive Multi-Strategy Enhanced Biogeography-Based Optimization Algorithm for High-Dimensional Optimization and Engineering Design Problems," Mathematics, MDPI, vol. 12(3), pages 1-35, January.
    2. R. Mareay & Ibrahim Noaman & Radwan Abu-Gdairi & M. Badr, 2022. "On Covering-Based Rough Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 10(21), pages 1-8, November.

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