| Title of paper:
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Research on intuitionistic fuzzy implications. Part 4
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| Author(s):
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| Nora Angelova
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| Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
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| noraa@fmi.uni-sofia.bg
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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
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| krat@bas.bg
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| Vassia Atanassova
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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
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| vassia.atanassova@gmail.com
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| Presented at:
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Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 1–8
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| DOI:
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https://doi.org/10.7546/nifs.30.1.1-8
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| Download:
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 PDF (510 Kb, File info)
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| Abstract:
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Continuing the research from Parts 1, 2 [2, 3] where intuitionistic fuzzy implications, determined as implications with “good” properties, were investigated, here we correct the list of the implications that satisfy the Modus Ponens from Part 3, [4], and further select among them those implications that satisfy the Modus Tollens, as well. We discuss some applications of these implications and show the relationship between every two of them.
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| Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Modus Ponens, Modus Tollens.
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| AMS Classification:
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03E72.
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| References:
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- Angelova, N. (2021). IFSTOOL – Software for Intuitionistic Fuzzy Sets Necessity, Possibility and Circle Operators. Advances in Intelligent Systems and Computing, Vol. 1081, 76–81, doi:10.1007/978-3-030-47024-1 9.
- Angelova, N., & Atanassov, K. (2021). Research on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
- Angelova, N., Atanassov, K., & Atanassova, V. (2022). Research on intuitionistic fuzzy implications. Part 2. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
- Angelova, N., Atanassov, K., & Atanassova, V. (2023). Research on intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 29(4), 365–370.
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