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Issue:Intuitionistic anti fuzzy normed ideals

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Title of paper: Intuitionistic anti fuzzy normed ideals
Author(s):
Nour Abed Alhaleem
Department of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Malaysia
noorb@ymail.com
Abd Ghafur Ahmad
Department of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Malaysia
ghafur@ukm.edu.my
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 60–71
DOI: https://doi.org/10.7546/nifs.2021.27.1.60-71
Download:  PDF (126  Kb, Info)
Abstract: In this paper, we introduce the notion of intuitionistic anti fuzzy normed subrings and intuitionistic anti fuzzy normed ideals and various properties of intuitionistic anti fuzzy normal subrings and ideals are examined. Also, we prove that the intersection of two intuitionistic anti fuzzy normed ideals is also an intuitionistic anti fuzzy normed ideal. Besides, we define the anti level subsets and identify the relationship between these sets and intuitionistic anti fuzzy normed ideals. In addition, we define the anti-image of intuitionistic anti fuzzy normed ideals and discuss the inverse image and anti-image for intuitionistic anti fuzzy normed ideals under epimorphism mapping.
Keywords: Intuitionistic fuzzy normed subrings, Intuitionistic anti fuzzy normed subring, Intuitionistic anti fuzzy normed ideals, Intuitionistic anti fuzzy normed normal ideals, Anti image.
AMS Classification: 03F55, 03E72.
References:
  1. Abed Alhaleem, N., & Ahmad, A. G. (2020). Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals. Mathematics, 8, Article ID 1594.
  2. Abed Alhaleem, N., & Ahmad, A. G. (2021). Intuitionistic Fuzzy Normal Subrings over Normed Rings. International Journal of Analysis and Applications, 19, 341–359.
  3. Alsarahead, M. O., & Ahmad, A. G. (2018). Complex intuitionistic fuzzy ideals. AIP Conference Proceedings, Vol. 1940, AIP Publishing LLC, Article ID 020118.
  4. Anitha, B. (2019). Properties of intuitionistic anti fuzzy normal subrings. Malaya Journal of Matematik, 7, 304–308.
  5. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
  6. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Berlin, Germany.
  7. Azam, F., Mamun, A., & Nasrin, F. (2013). Anti fuzzy ideal of a ring. Annals of Fuzzy Mathematics and Informatics, 5, 349–360.
  8. Bakhadach, I., Melliani, S., Oukessou, M., & Chadli, L. S. (2016). Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring. Notes on Intuitionistic Fuzzy Sets, 22(2), 59–63.
  9. Banerjee, B., & Basnet, D. (2003). Intuitionistic fuzzy subrings and ideals. Journal of Fuzzy Mathematics, 11, 139–155.
  10. Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra. Lambert Academic Publishing.
  11. Basnet, D. K. (2010). (a;b)-cut of intuitionistic fuzzy ideals. International Journal of Algebra, 4, 1329–1334.
  12. Biswas, R. (1989). Intuitionistic fuzzy subgroups. Mathematical Forum, 10, 37–46.
  13. Emniyet, A., & S¸ ahin, M. (2018). Fuzzy normed rings. Symmetry, 10, 515.
  14. Hur, K., Kang, H. W., & Song, H. K. (2003). Intuitionistic fuzzy subgroups and subrings. Honam Mathematical Journal, 25, 19–41.
  15. Jarden, M. (2011). Normed rings. Algebraic Patching, Springer, Berlin, Germany, 10–30.
  16. Liu, W. J. (1982). Fuzzy invariant subgroups and fuzzy ideals. Fuzzy Sets Systems, 8, 133–139.
  17. Rosenfeld, A. (1971). Fuzzy invariant subgroups and fuzzy ideals. Journal of Mathematical Analysis and Applications, 35, 512–517.
  18. Santhi, R., & Kungumaraj, E. (2020). Topologies generated by intuitionistic fuzzy numbers. Notes on Intuitionistic Fuzzy Sets, 26(1), 36–45.
  19. Sharma, P., & Bansal, V. (2012). On intuitionistic anti fuzzy ideal in rings. International Journal of Mathematical Sciences, 11, 237–243.
  20. Sharma, P., & Kaur, G. (2018). On intuitionistic fuzzy prime submodules. Notes on Intuitionistic Fuzzy Sets, 24(4), 97–112.
  21. Zadeh, L. (1965). Fuzzy sets. Information and Control, 8, 338–353.
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