Issue:Research on intuitionistic fuzzy implications. Part 4

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Title of paper: Research on intuitionistic fuzzy implications. Part 4 Author(s): Nora Angelova Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria noraa@fmi.uni-sofia.bg Krassimir Atanassov Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria krat@bas.bg Vassia Atanassova Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria vassia.atanassova@gmail.com Presented at: Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 1–8 DOI: https://doi.org/10.7546/nifs.30.1.1-8 Download:  PDF (510  Kb, File info) Abstract: 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. Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Modus Ponens, Modus Tollens. AMS Classification: 03E72. References: 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. Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham. Clocksin, W. F., & Mellish, C. S. (2003). Programming in Prolog: Using the ISO Standard (5th ed.). Springer. Huth, M., & Ryan, M. (2004). Logic in Computer Science: Modelling and Reasoning about Systems (2nd ed.). Cambridge University Press. Kernighan, B. W., & Ritchie, D. M. (1988). The C Programming Language (2nd ed.). Prentice Hall. Matthes, E. (2019). Python Crash Course (2nd ed.). No Starch Press. Schildt, H. (2018). Java: The Complete Reference (11th ed.). McGraw-Hill Education. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.