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Issue:Four new intuitionistic fuzzy bimodal topological structures

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Title of paper: Four new 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
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 3, pages 239–246
DOI: https://doi.org/10.7546/nifs.2023.29.3.239-246
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Abstract: Two intuitionistic fuzzy modal operators from a second type are used for introducing of new intuitionistic fuzzy modal topological structures. After this, these structures, extended with the two standard intuitionistic fuzzy modal operators, generate four new intuitionistic fuzzy bimodal topological structures. They are illustrated with examples.
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(18), Article ID 3313.
  3. Atanassov, K. (2023). Intuitionistic fuzzy bimodal topological structures. Notes on Intuitionistic Fuzzy Sets, 29(2), 133–143.
  4. Kuratowski, K. (1966). Topology, Vol. 1. Academic Press, New York.
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