Issue:Research on intuitionistic fuzzy implications. Part 3

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Title of paper: Research on intuitionistic fuzzy implications. Part 3 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 Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University, 1 Prof. Yakimov Blvd., 8010 Burgas, 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 International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 365–370 DOI: https://doi.org/10.7546/nifs.2023.29.4.365-370 Download:  PDF (421  Kb, File info) Abstract: 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. Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set. AMS Classification: 03E72. References: 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. 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. Citations: Issue:Research on intuitionistic fuzzy implications. Part 4 ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.