| 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, 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.
|
| 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.
|
|
