Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com
Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Norms over intuitionistic fuzzy congruence relations on rings

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/27/3/51-68
Title of paper: Norms over intuitionistic fuzzy congruence relations on rings
Author(s):
Rasul Rasuli
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
rasulirasul@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3, pages 51–68
DOI: https://doi.org/10.7546/nifs.2021.27.3.51-68
Download:  PDF (221  Kb, Info)
Abstract: In this paper, by using norms, we define the concept of intuitionistic fuzzy equivalence relations and intuitionistic fuzzy congruence relations on ring R and we investigate some assertions. Also we define intuitionistic fuzzy ideals of ring R under norms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring.
Keywords: Rings, Ideals, Congruence relations, Fuzzy set theory, Intuitionistic mathematics, Norms, Bifuzzy equivalence relation, Bifuzzy congruence relation, Bifuzzy ideals.
AMS Classification: 05C25, 06B10, 03E72, 47A30.
References:
  1. Abu Osman, M. T. (1987). On some products of fuzzy subgroups. Fuzzy Sets and Systems, 24, 79–86.
  2. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
  3. Buckley, J. J., & Eslami, E. (2002). An Introduction to Fuzzy Logic and Fuzzy Sets, Springer-Verlag Berlin Heidelberg GmbH.
  4. Dubois, D., & Prade, H. (1988). Fuzzy Sets and Systems, Academic Press, New York.
  5. Klaua, D. (2010). An early approach toward graded identity and graded membership in set theory. Fuzzy Sets and Systems, 161, 2369–2379.
  6. Liang, R., Lu, S., Wang, X., Lu, Y., Mandal, V., Patacsil, D., & Kumar, D. (2006). A Fuzzy-Set-Theory-Based Approach to Differential Gene Expression Data Analysis. BMC Bioinformatics, 7 (Suppl 4): S7. 2006.
  7. Malik, D. S., Mordeson, J. N., & Sen, M. K. (1997). Fundamentals of Abstract Algebra, McGraw Hill.
  8. Rasuli, R. (2016). Fuzzy Ideals of Subtraction Semigroups with Respect to A t-norm and A t-conorm. The Journal of Fuzzy Mathematics, Los Angeles, 24(4), 881–892.
  9. Rasuli, R. (2016). Fuzzy modules over a t-norm. Int. J. Open Problems Compt. Math., 9(3), 12–18.
  10. Rasuli, R. (2016). Fuzzy Subrings over a t-norm. The Journal of Fuzzy Mathematics, Los Angeles, 24(4), 995–1000.
  11. Rasuli, R. (2016). Norms over intuitionistic fuzzy subrings and ideals of a ring. Notes on Intuitionistic Fuzzy Sets, 22(5), 72–83.
  12. Rasuli, R. (2017). Norms over fuzzy Lie algebra. Journal of New Theory, 15, 32–38.
  13. Rasuli, R. (2017). Fuzzy subgroups on direct product of groups over a t-norm. Journal of Fuzzy Set Valued Analysis, 3, 96–101.
  14. Rasuli, R. (2017). Characterizations of intuitionistic fuzzy subsemirings of semirings and their homomorphisms by norms. Journal of New Theory, 18, 39–52.
  15. Rasuli, R. (2017). Intuitionistic fuzzy subrings and ideals of a ring under norms, LAP LAMBERT Academic publishing, ISBN: 978-620-2-06926-7.
  16. Rasuli, R. (2018). Characterization of Q-Fuzzy subrings (Anti Q-Fuzzy Subrings) with respect to a T-norm (T-Conorms). Journal of Information and Optimization Science, 31, 1–11.
  17. Rasuli, R. (2018). T-Fuzzy Submodules of R �M. Journal of New Theory, 22, 92–102.
  18. Rasuli, R. (2018). Fuzzy subgroups over a T-norm. Journal of Information and Optimization Science, 39, 1757–1765.
  19. Rasuli, R. (2018). Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t-Norms. General Letters in Mathematics, 5, 47–57.
  20. Rasuli, R. (2019). Anti Fuzzy Submodules over a t-conorm and Some of Their Properties. The Journal of Fuzzy Mathematics Los Angles, 27, 229–236.
  21. Rasuli, R. (2019). Artinian and Noetherian Fuzzy Rings. International Journal of Open Problems in Computer Science and Mathematics, 12, 1–7.
  22. Rasuli, R., & Narghi, H. (2019). T-Norms Over Q-Fuzzy Subgroups of Group. Jordan Journal of Mathematics and Statistics (JJMS), 12, 1–13.
  23. Rasuli, R. (2019). Fuzzy equivalence relation, fuzzy congrunce relation and fuzzy normal subgroups on group G over t-norms. Asian Journal of Fuzzy and Applied Mathematics, 7, 14–28.
  24. Rasuli, R. (2019). Norms over anti fuzzy G-submodules, MathLAB Journal, 2, 56–64.
  25. Rasuli, R. (2019). Norms over bifuzzy bi-ideals with operators in semigroups. Notes on Intuitionistic Fuzzy Sets, 25, 1–11.
  26. Rasuli, R.(2019). Norms Over Basic Operations on Intuitionistic Fuzzy Sets. The Journal of Fuzzy Mathematics, Los Angles, 27(3), 561–582.
  27. Rasuli, R. (2019). T-fuzzy Bi-ideals in Semirings. Earthline Journal of Mathematical Sciences, 27(1), 241–263.
  28. Rasuli, R. (2019). Norms Over Intuitionistic Fuzzy Vector Spaces. Algebra Letters, 1(1), 1–19.
  29. Rasuli, R. (2019). Some Results of Anti Fuzzy Subrings Over t-Conorms. MathLAB Journal, 1(4), 25–32.
  30. Rasuli, R. (2020). Anti Fuzzy Equivalence Relation on Rings with respect to t-conorm C. Earthline Journal of Mathematical Sciences, 3(1), 1–19.
  31. Rasuli, R. (2020). Anti Fuzzy Subbigroups of Bigroups under t-conorms. The Journal of Fuzzy Mathematics, Los Angles, 28(1), 181–200.
  32. Rasuli, R. (2020). t-norms over Fuzzy Multigroups. Earthline Journal of Mathematical Sciences, 3(2), 207–228.
  33. Rasuli, R. (2020). Anti Q-fuzzy subgroups under t-conorms. Earthline Journal of Mathematical Sciences, 4(1), 13–28.
  34. Rasuli, R. (2020). Anti Fuzzy Congruence on Product Lattices with respect to S-norms. The Second National Congress on Mathematics and Statistics, Conbad Kavous University.
  35. Rasuli, R. (2020). Direct product of fuzzy multigroups under t-norms. Open Journal of Discrete Applied Mathematics (ODAM), 3(1), 75–85.
  36. Rasuli, R. (2020). Level subsets and translations of QF ST(G). MathLAB Journal, 5(1), 1–11.
  37. Rasuli, R. (2020). Conorms over anti fuzzy vector spaces. Open Journal of Mathematical Sciences, 4, 158–167.
  38. Rasuli, R. (2020). Intuitionistic fuzzy subgroups with respect to norms (T, S). Eng. Appl. Sci. Lett. (EASL), 3(2), 40–53.
  39. Rasuli, R., Moatamedi Nezhad, M., & Naraghi, H. (2020). Characterization of TF(G) and direct product of it. The First National Conference on Soft Computing and Cognitive Science, Conbad Kavous University, July 2020.
  40. Rasuli, R. (2020). Anti complex fuzzy subgroups under s-norms.Eng. Appl. Sci. Lett. (EASL), 3(4), 1–10.
  41. Rasuli, R., & Moatamedi Nezhad, M. M. (2020). Characterization of Fuzzy modules and anti fuzzy modules under norms. The First International Conference on Basic Sciences, Tehran, October 21.
  42. Rasuli R., & Moatamedi Nezhad, M. M. (2020). Fuzzy subrings and anti fuzzy subrings under norms. The First International Conference on Basic Sciences, Tehran, October 21.
  43. Rasuli, R. (2021). Anti Q-fuzzy translations of anti Q-soft subgroups. The Third national Conference on Managent and Fuzzy Systems, University of Eyvanekey, March 2021.
  44. Rasuli, R. (2021). Conorms over conjugates and generalized characterestics of anti Q-fuzzy subgroups. The Third national Conference on Managent and Fuzzy Systems, University of Eyvanekey, March 2021.
  45. Rasuli, R. (2021). Fuzzy congruence on product lattices under T-norms. Journal of Information and Optimization Sciences, 42(2), 333–343.
  46. Rasuli, R. (2021). Intuitionistic fuzzy congruences on product lattices under norms. Journal of Interdisciplinary Mathematics, 24(2), 1–24.
  47. Rasuli, R. (2021). Conorms over level subsets and translations of anti Q-fuzzy Subgroups. International Journal of Mathematics and Computation, 32(2), 55–67.
  48. 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:Norms_over_intuitionistic_fuzzy_congruence_relations_on_rings&oldid=10973"