| Title of paper:
|
A short note on a possible ranking of intuitionistic fuzzy alternatives
|
| Author(s):
|
Kristina Zhivkova  0009-0009-0416-0283
|
| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 105, Sofia-1113, Bulgaria
|
| kristina@biomed.bas.bg
|
| Peter Vassilev 0000-0002-7361-9272
|
| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 105, Sofia-1113, Bulgaria
|
| peter.vassilev@gmail.com
|
| Lyudmila Todorova 0000-0003-1496-9982
|
| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. bl. 105, Sofia-1113, Bulgaria
|
| lpt@biomed.bas.bg
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 309–314
|
| DOI:
|
https://doi.org/10.7546/nifs.2026.32.3.309-314
|
| Download:
|
 PDF (190 Kb, File info)
|
| Abstract:
|
In the present work, we consider a new ranking for intuitionistic fuzzy alternatives, that is, alternatives represented by intuitionistic fuzzy pairs. This ranking is inspired by the "necessity" and "possibility" operators corresponding to such alternative. Some properties of the new ranking method are studied and a comparison with other ranking methods is provided.
|
| Keywords:
|
Intuitionistic fuzzy pair, Ranking, Ordering.
|
| AMS Classification:
|
03E72.
|
| References:
|
- Atanassov, K. T. (1983). Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1-S6 (in English).
- Atanassov, K.T. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Bustince, H., & Burillo, P. (1996). Structures on intuitionistic fuzzy relations. Fuzzy Sets and Systems 78, 293–303.
- Marinov, E. (2014). π-ordering and index of indeterminacy for intuitionistic fuzzy sets. In: Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Volume I: Foundations. IBS PAN-SRI PAS, Warsaw, 129–138.
- Vassilev, P., & Stoyanov, T. (2018). On power mean generated orderings between intuitionistic fuzzy pairs. Advances in Intelligent Systems and Computing, 643, 476–481.
- Vassilev, P., Stoyanov, T., Todorova, L., Marazov, A., Andonov, V., & Ikonomov, I. (2023). Orderings over intuitionistic fuzzy pairs generated by the power mean and the weighted power mean. Mathematics, 11(13), Article ID 2893.
- Xing, Z., Xiong, W., & Liu, H. (2018). A Euclidean approach for ranking intuitionistic fuzzy values. In: IEEE Transactions on Fuzzy Systems, 26(1), 353–365.
|
| 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.
|
|
