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:Intuitionistic fuzzy G-modules with respect to norms (T and S)

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/29/3/277-291
Title of paper: Intuitionistic fuzzy G-modules with respect to norms (T and S)
Author(s):
Rasul Rasuli
Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran
Rasuli@pnu.ac.ir
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 3, pages 277–291
DOI: https://doi.org/10.7546/nifs.2023.29.3.277-291
Download:  PDF (296  Kb, File info)
Abstract: In this paper, we introduced intuitionistic fuzzy G-modules on M under norms (t-norm T and s-conorm S) and some related results like intersection, sum and direct sum of them has also been discussed. Also some of their properties have been investigated under G-module homomorphisms.
Keywords: Theory of modules, Groups, Homomorphism, Fuzzy set theory, Norms, Direct sums, Intuitionistic fuzzy set.
AMS Classification: 13Axx, 18B40, 20K30, 03E72, 47A30, 20K25.
References:
  1. Alsina, C., Trillas, E., & Valverde, L. (1983). On some logical connectives for fuzzy set theory. Journal of Mathematical Analysis and Applications, 93, 15–26.
  2. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  3. Atanassova, L. (2007). On intuitionistic fuzzy versions of L. Zadeh's extension principle. Notes on Intuitionistic Fuzzy Sets, 13(3), 33–36.
  4. Fernadez, S. (2004). A study of fuzzy G-modules. Ph.D Thesis, St. Albert’s College, Rev. Dr. Konnully Memorial Research Centre and P.G. Department of Mathematics, India.
  5. Gupta, M. M., & Qi, J. (1991). Theory of T-norms and fuzzy inference methods. Fuzzy Sets and Systems, 40, 431–450.
  6. Halmos, P. R. (1967). Measure Theory. Van Nostrand Company, New York.
  7. Rasuli, R. (2022). Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms. Mathematical Analysis and its Contemporary Applications, 4(3), 17–34.
  8. Rasuli, R. (2022). Normalization, commutativity and centralization of TFSM(G). Journal of Discrete Mathematical Sciences & Cryptography, 26(4), 1027–1050.
  9. Rasuli, R. (2022). T-fuzzy G-submodules. Scientia Magna, 17(1), 107–118.
  10. Rasuli, R. (2023). Anti fuzzy multigroups and t-conorms. Proceedings of 2nd National Conference on Soft Computing and Cognitive Science, Conbad Kavous University, Faculty of Technology and Engineering Minutest, Iran, Minudasht, April 18-19, 2023.
  11. Rasuli, R. (2023). Norms over intuitionistic fuzzy subgroups on direct product of groups. Communications in Combinatorics, Cryptography & Computer Science, 1, 39–54.
  12. Rasuli, R. (2023). T-norms over complex fuzzy subgroups. Mathematical Analysis and Its Contemporary Applications, 5(1), 33–49.
  13. Rasuli, R. (2023). T-fuzzy subalgebras of BCI-algebras. International Journal of Open Problems in Computer Science and Mathematics, 16(1), 83–100.
  14. Rasuli, R. (2023). Norms over Q-intuitionistic fuzzy subgroups of a group. Notes on Intuitionistic Fuzzy Sets, 29(1), 30–45.
  15. Rasuli, R. (2023). Fuzzy ideals of BCI-algebras with respect to t-norm. Mathematical Analysis and Its Contemporary Applications, 5(2), 39–50.
  16. Rasuli, R. (2023). Intuitionistic fuzzy complex subgroups with respect to norms (T and S). Journal of Fuzzy Extension and Application, 4(2), 92–114.
  17. Rasuli, R. (2023). Anti fuzzy d-algebras and t-conorms. Proceedings of 2nd National Conference on Soft Computing and Cognitive Science, Conbad Kavous University, Faculty of Technology and Engineering Minutest, Iran, Minudasht, April 18-19, 2023.
  18. Rasuli, R. (2023). Normality and translation of IFS(G × Q) under norms. Notes on Intuitionistic Fuzzy Sets, 29(2), 114–132.
  19. Rasuli, R. (2023). Some properties of fuzzy algebraic structures of QIFSN(G). Proceedings of 4th International Conference on Computational Algebra, Computational Number Theory and Applications, CACNA2023, University of Kashan, Iran, 4-6 July 2023.
  20. Rasuli, R., & Shomali, A. (2023). QIFSN(G) and strongest relations, cosets and middle cosets. International Journal of Open Problems in Computer Science and Mathematics, 16(2), 53–61.
  21. Yandong, Y (1985). Triangular norms and TNF-sigma algebras. Fuzzy Sets and Systems, 16(3) 251–264.
  22. 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:Intuitionistic_fuzzy_G-modules_with_respect_to_norms_(T_and_S)&oldid=11693"