| Title of paper:
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Research on intuitionistic fuzzy implications. Part 3
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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
Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University, 1 Prof. Yakimov Blvd., 8010 Burgas, 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 International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 365–370
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.4.365-370
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| Download:
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 PDF (421 Kb, Info)
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| Abstract:
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Continuing the research from [1, 2], here we give the lists of the intuitionistic fuzzy implications, introduced in [2], that satisfy at least one of two forms of Modus Ponens (MP) – a standard and a new one, called “mixed”, forms. We show the relationship between every two of these implications that satisfy the mixed form of MP.
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| Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.
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| AMS Classification:
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03E72.
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| References:
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- Angelova, A., & 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.
- Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
- Atanassov, K., & Gargov, G. (1998). Elements of intuitionistic fuzzy logic. I. Fuzzy sets and Systems, 95(1), 39–52.
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