| Title of paper:
|
Four interval-valued intuitionistic fuzzy modal-level operators
|
| Author(s):
|
| Krassimir Atanassov
|
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
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
|
| krat@bas.bg
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 3, pages 1–14
|
| DOI:
|
https://doi.org/10.7546/nifs.2019.25.3.13-25
|
| Download:
|
 PDF (237 Kb, File info)
|
| Abstract:
|
Four new interval-valued intuitionistic fuzzy operators are introduced. It is shown for them that they exhibit behaviour similar both to the modal, as well as to the level operators defined over interval-valued intuitionistic fuzzy sets, and for this reason, they are called interval-valued intuitionistic fuzzy modal-level operators. Their basic properties are discussed
|
| Keywords:
|
Interval-valued intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy operator.
|
| AMS Classification:
|
03E72
|
| References:
|
- Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists in Bulgaria, 8, 1–17.
- Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170.
- Angelova, N., & Stoenchev, M. (2017). Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23 (5), 29—41.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg.
- Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham.
- Atanassov, K. (2018). On interval-valued intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 24 (1), 1–12.
- Atanassov, K. (2018). Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1. Notes on Intuitionistic Fuzzy Sets, 24 (2), 8–17.
- Atanassov, K. (2018). Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 2. Notes on Intuitionistic Fuzzy Sets, 24 (3), 1–10.
- Atanassov, K., & Gargov, G. (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31 (3), 343–349.
- Atanassov K., Mavrov, D., & Atanassova, V. (2014). Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1—8.
- Cuvalcioglu, G. (2007). Some properties of Eα,β operator. Advanced Studies in Contemporary Mathematics, 14 (2), 305–310.
- Traneva, V., & Tranev, S. (2017). Index Matrices as a Tool for Managerial Decision Making, Publ. House of the Union of Scientists in Bulgaria (in Bulgarian).
|
| 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.
|
|
