| 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 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 1–8
|
| DOI:
|
https://doi.org/10.7546/nifs.30.1.1-8
|
| Download:
|
 PDF (510 Kb, 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.
|
|
