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 filters of ordered semigroups

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/15/3/01-13
Title of paper: Intuitionistic fuzzy filters of ordered semigroups
Author(s):
Muhammad Shabir
Department of mathematics Quaid-i-Azam University Islamabad, Pakistan
Asghar Khan
Department of mathematics Quaid-i-Azam University Islamabad, Pakistan
azhar4set@yahoo.com
M. S. Anitha
Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
Published in: "Notes on IFS", Volume 15 (2009) Number 3, pages 1—13
Download:  PDF (523  Kb, Info)
Abstract: The notion of intuitionistic fuzzy filters in ordered semigroups is introduced and relation between intuitionistic fuzzy filters and intuitionistic fuzzy prime ideals is investсgated. The notion of intuitionistic fuzzy bi-ideal subsets and intuitionistic fuzzy bi-filters are provided and relation between intuitionistic fuzzy bi-filters and intuitionistic fuzzy prime bi-ideal subsets is

established. The concept of intuitionistic fuzzy right filters (left filters) is given and their relation with intuitionistic fuzzy prime left ideals is discussed.

Keywords: Anti-homomorphism, Homomorphism, Intuitionistic antifuzzy subgroup, Intuitionistic fuzzy lower level subset, Intuitionistic fuzzy lower level subgroup, Intuitionistic fuzzy subsets
References:
  1. Y. S. Ahn, K. Hur, D. S. Kim, The lattice of intuitionistic fuzzy ideals of a ring, J. Appl. Math. Comput. 19 (2005) 551-572.
  2. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Syst. 20 (1986) 87-96.
  3. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Syst. 61 (1994) 137-172.
  4. K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Studies in Fuzziness and Soft Computing, vol. 35, Physica-Verlag, Heidelberg, 1999.
  5. B. Banerjee, D. Kr. Basnet, Intuitionistic fuzzy subrings and ideals, J. Fuzzy Math. 11 (1) (2003) 139-155.
  6. R. Biswas, On fuzzy sets and intuitionistic fuzzy sets, NIFS 3 (1997) 3-11.
  7. Y. Cao, Chain decompositions of ordered semigroups, Semigroup Forum Vol. 65 (2002) 83-106.
  8. B. Davvaz, W. A. Dudek Y. B. Jun, Intuitionistic fuzzy Hv-submodules, Inform. Sci. 176 (2006) 285-300.
  9. S. K. De, R. Biswas, A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets Syst. 117 (2001) 209-213.
  10. W. A. Dudek, B. Davvaz, Y. B. Jun, On intuitionistic fuzzy subhyper-quasigroups of hyper- quasigroups, Inform. Sci. 170 (2005) 251-262.
  11. L. Dengfeng, C. Chuntian, New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognition Letters, 23(2002), 221–225.
  12. W. L. Gau, D. J. Buehrer, Vague sets, IEEE Trans. Systems Man Cybernet, 23(1993), 610– 614.
  13. Y. B. Jun, Intuitionistic fuzzy bi-ideals of ordered semigroups, KYUNGPOOK Math. J. 45 (2005), 527-537.
  14. Y. B. Jun, On (Φ,Ψ)-intuitionistic fuzzy subgroups, KYUNGPOOK Math. J. 45(2005), 87-94.
  15. N. Kehayopulu, On weakly prime ideals of ordered semigroups, Math. Japonica 35 No. 6 (1990) 1051-1056.
  16. N. Kehayopulu, Remarks on ordered semigroups, Math., Japonica 35 (1990) 1061-1063.
  17. N. Kehayopulu, Xiang-Yun Xie and M. Tsingelis, A characterization of prime and semiprime ideals of semigroups in terms of fuzzy subsets, Soochow J. Math. 27 (2001) 139-144.
  18. N. Kehayopulu, M. Tsingelis, Fuzzy sets in ordered groupoids, Semigroup Forum, 65(2002), 128–132.
  19. N. Kehayopulu, M. Tsingelis, The embedding of an ordered groupoids into a poe-groupoid in terms of fuzzy sets, Inform. Sci. 152 (2003) 231-236.
  20. N. Kehayopulu and M. Tsingelis, Fuzzy bi-ideals in ordered semigroups, Inform. Sci., 171 (2005) 13-28.
  21. K. H. Kim, W. A. Dudek and Y. B. Jun, On intuitionistic fuzzy subquasigroups of quasi-groups, Quasigroups and Related Systems, 7(2000), 15–28.
  22. K. H. Kim and Y. B. Jun, Intuitionistic fuzzy interior ideals of semigroups, Int. J. Math. Sci., 27(5)(2001), 261–267.
  23. K. H. Kim and Y. B. Jun, Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math., 33(4)(2002), 443–449.
  24. M. Shabir and A. Khan, Fuzzy filters of ordered semigroups, submitted.
  25. E. Szmidt, J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets Syst. 118 (2001) 467-477.
  26. Yongfa Hong, Changjun Jiang, Characterizing regular semigroups using intuitionistic fuzzy sets, Notes on IFS, 10:20-31(2004).
  27. L. A. Zadeh, Fuzzy sets, Inform. Control, 8(1965), 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.