| Title of paper:
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On two new intuitionistic fuzzy topological operators and four new intuitionistic fuzzy feeble modal topological structures
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| Author(s):
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| Krassimir Atanassov
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Dept. of Bioinformatics and Mathematical Modelling, 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
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| krat@bas.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 1, pages 74–83
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.1.74-83
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| Download:
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 PDF (194 Kb, Info)
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| Abstract:
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In the intuitionistic fuzzy sets theory there are some intuitionistic fuzzy topological operators. Here, two new operators are defined, some of their properties are shown and on their basis, four new intuitionistic fuzzy feeble modal topological structures are introduced and some of their properties are discussed.
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| Keywords:
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Intuitionistic fuzzy set, Intuitionistic fuzzy operation, Intuitionistic fuzzy operator, Intuitionistic fuzzy topological structure.
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| AMS Classification:
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03E72.
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| References:
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- Angelova, N., & Stoenchev, M. (2017). Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer: Heidelberg.
- Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer: Berlin.
- Atanassov, K. (2022). Intuitionistic Fuzzy Modal Topological Structure. Mathematics, 10, 3313.
- Atanassov, K. (2022). On the intuitionistic fuzzy modal feeble topological structures. Notes on Intuitionistic Fuzzy Sets, 28(3), 211–222.
- Atanassov, K. (2022). On four intuitionistic fuzzy feeble topological structures. Proceedings of the 11th Int. IEEE Conf. “Intelligent Systems”. 12–14 Oct. 2022, Warsaw, Poland. DOI: 10.1109/IS57118.2022.1001972.
- Atanassov, K. (2022). On intuitionistic fuzzy modal topological structures with modal operator of second type. Notes on Intuitionistic Fuzzy Sets, 28(4), 457–463.
- Atanassov, K. (2023). On Intuitionistic Fuzzy Temporal Topological Structures. Axioms, 12, 182.
- Atanassov, K. (in press). On four intuitionistic fuzzy feeble topological structures. Proceedings of the 20th Int. Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, 15 Oct. 2022, Warsaw, Poland.
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