As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.
Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Several significant equalities on intuitionistic fuzzy operators

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/28/2/132-148
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:
  1. 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.
  2. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  3. Atanassov, K. T. (1994). New operations defined over intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142.
  4. Atanassov, K. T. (1997). Some operators on intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 28–33.
  5. Bhattacharya, J. (2016). A few more on intuitionistic fuzzy set. Journal of Fuzzy Set Valued Analysis, 3, 214–222.
  6. 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.
  7. Bhattacharya, J. (2021). Some results on certain properties of intuitionistic fuzzy sets. Journal of Fuzzy Extension and Applications, 2(4), 377–387.
  8. Çitil, M., & Tugrul, F. (2018). Some new equalities on the intuitionistic fuzzy modal ˘ operators. Sakarya University Journal of Science, 22(6), 1524–1531.
  9. 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.
  10. 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.
  11. 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.
  12. 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.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Several_significant_equalities_on_intuitionistic_fuzzy_operators&oldid=11222"