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Issue:Intuitionistic fuzzy bimodal topological structures

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Title of paper: Intuitionistic fuzzy bimodal topological structures
Author(s):
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
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Burgas-8010, Bulgaria
krat@bas.bg
Presented at: 26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 133–143
DOI: https://doi.org/10.7546/nifs.2023.29.2.133-143
Download:  PDF (316  Kb, File info)
Abstract: Two new intuitionistic fuzzy operators from a modal type are defined. Some properties of these operators are studied. Based on them, four new intuitionistic fuzzy modal topological structures are introduced and after this, four intuitionistic fuzzy bimodal topological structures are constructed. All they are examples of modal and bimodal topological structures.
Keywords: Intuitionistic fuzzy operation, Intuitionistic fuzzy operator, Intuitionistic fuzzy set, Intuitionistic fuzzy topological structure.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  2. Atanassov, K. (2022). Intuitionistic fuzzy modal topological structure. Mathematics, 10, 3313.
  3. Atanassov, K. (2023). On two new intuitionistic fuzzy topological operators and four new intuitionistic fuzzy feeble modal topological structures. Notes on Intuitionistic Fuzzy Sets, 29(1), 74–83.
  4. Atanassov, K., Angelova, N., & Pencheva, T. (2023). On two intuitionistic fuzzy modal topological structures. Axioms, 12, 408.
  5. Feys, R. (1965). Modal Logics. Gauthier, Paris.
  6. Kuratowski, K. (1966). Topology, Vol. 1. Academic Press, New York.
  7. Mints, G. (1992). A Short Introduction to Modal Logic. University of Chicago Press, Chicago.
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