| Title of paper:
|
Several significant equalities on intuitionistic fuzzy operators
|
| Author(s):
|
| Jaydip Bhattacharya
|
| Department of Mathematics, Bir Bikram Memorial College, Agartala, West Tripura, Pin-799004, India
|
| jay73bhatta@gmail.com
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 2, pages 132–148
|
| DOI:
|
https://doi.org/10.7546/nifs.2022.28.2.132-148
|
| Download:
|
 PDF (163 Kb, File info)
|
| Abstract:
|
There are various operators and operations in intuitionistic fuzzy set theory. The roles of these operators and operations are very significant as they show a deeper interconnection between the two ordinary modal logic operators. It can be well noted that modal operators can change intuitionistic fuzzy sets into fuzzy sets easily. Considering all of these, we establish several equalities on intuitionistic fuzzy sets.
|
| Keywords:
|
Fuzzy sets, Intuitionistic fuzzy sets, Modal operators, Operations.
|
| AMS Classification:
|
54A40, 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 of Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
- Atanassov, K. T. (1994). New operations defined over intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142.
- Atanassov, K. T. (1997). Some operators on intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 28–33.
- Bhattacharya, J. (2016). A few more on intuitionistic fuzzy set. Journal of Fuzzy Set Valued Analysis, 3, 214–222.
- Bhattacharya, J. (2021). Some special operations and related results on intuitionistic fuzzy sets. International Journal of Scientific Research in Mathematical and Statistical Sciences, 8(4), 10–13.
- Bhattacharya, J. (2021). Some results on certain properties of intuitionistic fuzzy sets. Journal of Fuzzy Extension and Applications, 2(4), 377–387.
- Çitil, M., & Tugrul, F. (2018). Some new equalities on the intuitionistic fuzzy modal ˘ operators. Sakarya University Journal of Science, 22(6), 1524–1531.
- Ejegwa, P. A., Akowe, S. O., Otene, P. M., & Ikyule, J. M. (2014). An overview on intuitionistic fuzzy sets. International Journal of Scientific and Technology Research, 3(3), 142–145.
- Kozae, A. M., Elshenawy, A., & Omran, M. (2015). Intuitionistic fuzzy set and its application in selecting specialization: A case study for engineering students. International Journal of Mathematical Analysis and Applications, 2(6), 74–78.
- Tarsuslu, S., Çitil, M., Demirbas¸, E., & Aydın, M. (2017). Some modal operators with intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 23(5), 20–28.
- Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
|
| 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.
|
|
