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:Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/22/2/59-63
Title of paper: Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring
Author(s):
I. Bakhadach
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
M. Oukessou
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Lalla Saadia Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Presented at: International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 22, 2016, Number 2, pages 59—63
Download:  PDF (127  Kb, Info)
Abstract: In this paper we further study the theory of Intuitionistic fuzzy ideals and intuitionistic fuzzy prime ideals. We have investigated these notions and shown a new result using the intuitionistic fuzzy points and a membership and nonmembership functions.
Keywords: Intuitionistic fuzzy ring, Intuitionistic fuzzy ideal, Intuitionistic fuzzy prime ideal, Intuitionistic fuzzy point.
AMS Classification: 03E72.
References:
  1. Atanassov, K., & Stoeva, S. (1983) Intuitionistic fuzzy sets, Proceedings of Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
  2. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
  3. Jun, Y. B. & Song, S. Z. (2005) Intuitionistic fuzzy semi preopen sets and Intuitionistic fuzzy semi precontinuous mappings, Journal of Appl. Math. and Computing, 19(1–2), 467–474.
  4. Hur, K., Kang, H. W. & Song, H. K. (2003) Intuitionistic Fuzzy Subgroups and Subrings, Honam Math J., 25(1), 19–41.
  5. Hur, K., Jang, S. Y. & Kang, H. W. (2005) Intuitionistic fuzzy ideal of a ring, J. Korea Soc. Math. Educ. Ser. B: Pur Appl. Math., Vol 12, August 2005.
  6. Kuroki, N. (1980) Fuzzy bi-ideals in semigroups, Commenl Math. Univ. St. Paul., 28, 17–21.
  7. Kuroki, N. (1982) Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems, 8, 71–79.
  8. Malik, D. S. & Mordeson, J. N. (1990) Fuzzy prime ideals of a ring, Fuzzy Sets and Systems, 37, 93–98.
  9. Malik, D. S. & Mordeson, J. N. (1991) Fuzzy maximal, radical and primary ideals of a ring, Inform. Sci., 53, 237–250.
  10. Marashdeh, M. F., & Salleh, A. R. (2011) Intuitionistic fuzzy rings, International Journal of Algebra, 5(1), 37–47.
  11. Meena, K. & Thomas, K. V. (2011), Intuitionistic L-Fuzzy Subrings, International Mathematical Forum, 6(52), 2561–2572.
  12. Pu, P. M. & Liu, Y. M. (1980) Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore Smith convergence, J. Math. Anal. Appl. 76(2), 571–599.
  13. Rosenfeld, A. (1971) Fuzzy groups, J. Math. Anal. Appl., 35, 512–517.
  14. Sharma, P. K. (2011) Translates of intuitionistic fuzzy subring, International Review of Fuzzy Mathematics, 6(2), 77–84.
  15. Zadeh, L. A. (1965) Fuzzy sets, Inform. and Contr., 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.