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:On intuitionistic fuzzy almost prime ideals and intuitionistic fuzzy almost prime submodules

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/29/3/261-276
Title of paper: On intuitionistic fuzzy almost prime ideals and intuitionistic fuzzy almost prime submodules
Author(s):
P. K. Sharma
Post-Graduate Department of Mathematics, D.A.V.College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 3, pages 261–276
DOI: https://doi.org/10.7546/nifs.2023.29.3.261-276
Download:  PDF (264  Kb, Info)
Abstract: The aim of this paper is to present some characterizations of almost prime ideals and almost prime submodules in the intuitionistic fuzzy environment. We investigate various properties of these concepts and achieve many results.
Keywords: Almost prime ideal, Almost prime submodule, Intuitionistic fuzzy (almost) prime ideal, Intuitionistic fuzzy (almost) prime submodule, Intuitionistic fuzzy multiplication module.
AMS Classification: 08A72, 03E72, 03F55, 13C05, 13C13.
References:
  1. Anderson, D. D., & Bataineh, M. (2008). Generalizations of prime ideals. Communications in Algebra, 36, 686–696.
  2. Atanassov, K. T. (1983). Intuitionistic fuzzy sets. In: Sgurev, V. (Ed.). VII ITKRs Session, Central Science and Technology Library of the Bulgarian Academy of Sci, Sofia.
  3. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  4. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Studies on Fuzziness and Soft Computing, Vol. 35, Physica-Verlag, Heidelberg.
  5. Azizi, A. (2006). Weakly prime submodules and prime submodules. Glasgow Mathematical Journal, 48, 343–346.
  6. 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.
  7. Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing. ISBN: 978-3-8443-9147-3.
  8. Bataineh, M. (2006). Generalization of Prime Ideals. PhD thesis, The University of Iowa.
  9. Beiranvand, P. K., & Beyranvand, R. (2019). Almost prime and weakly prime submodules. Journal of Algebra and Its Applications, 18(7), Article ID 1950129.
  10. Bhatwadekar, M. S., & Sharma, P. K. (2005). Unique factorization and birth of almost primes. Communications in Algebra, 33, 43–49.
  11. Biswas, R. (1989). Intuitionistic fuzzy subgroup. Mathematical Forum, X, 37–46.
  12. Biswas, R. (1997). On fuzzy sets and intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(1), 3-11.
  13. Dauns, J. (1978). Prime modules. Journal fur die reine und angewandte Mathematik, 298, 156–181.
  14. Davvaz, B., Dudek, W. A., & Jun, Y. B. (2006). Intuitionistic fuzzy Hv-submodules. Information Sciences, 176, 285–300.
  15. De, S. K., Biswas, R., & Roy, A. R. (2001). An application of intuitionistic sets in medical diagnosis. Fuzzy Sets and Systems, 117, 209–213.
  16. Dengfeng, L., & Chuntian, C. (2002). New similarity measures of intuitionistic fuzzy sets and applications to pattern recognitions. Pattern Recognition Letters, 23, 221–225.
  17. Hur, K., Jang, S. Y., & Kang, H. W. (2005). Intuitionistic fuzzy ideals of a ring. Journal of the Korea Society of Mathematical Education, Series B, 12(3), 193–209.
  18. Isaac, P., & John, P. P. (2011). On intuitionistic fuzzy submodules of a modules. International Journal of Mathematical Sciences and Applications, 1(3), 1447–1454.
  19. Khashan, H. A. (2012). On almost prime submodules. Acta Mathematica Scientia, 32(2), 645–651.
  20. McCasland, R. L., & Moore, M. E. (1992). Prime submodules. Communications in Algebra, 20, 1803–1817.
  21. Rahman, S., & Saikia, H. K. (2013). Some aspects of Atanassov's intuitionistic fuzzy submodules. International Journal of Pure and Applied Mathematics, 77(3), 369–383.
  22. Sharma, P. K. (2011). (α, β)-cut of intuitionistic fuzzy modules, International Journal of Mathematical Sciences and Applications. 1(3), 1489-1492.
  23. Sharma, P. K. (2022). On intuitionistic fuzzy multiplication modules. Annals of Fuzzy Mathematics and Informatics, 23(3), 295–309.
  24. Sharma, P. K., Kanchan, & Pathania, D. S. (2020). On decomposition of intuitionistic fuzzy prime submodules. Notes on Intuitionistic Fuzzy Sets, 26(2), 25–32.
  25. Sharma, P. K., & Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module. International Journal of Computer Science and Information Technology, 9(4), 1–15.
  26. Sharma, P. K., & Kaur, G. (2018). On intuitionistic fuzzy prime submodules. Notes on Intuitionistic Fuzzy Sets, 24(4), 97–112.
  27. Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8, 338–353.
  28. Zamani, N. (2010). ϕ-prime submodules. Glasgow Mathematical Journal, 52, 253–259.
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:On_intuitionistic_fuzzy_almost_prime_ideals_and_intuitionistic_fuzzy_almost_prime_submodules&oldid=11689"