As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.
Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Characterizing intuitionistic fuzzy Г-Ideals of ordered Г-semigroups by means of intuitionistic fuzzy points

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 17:29, 28 August 2024 by Vassia Atanassova (talk | contribs) (Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/21/3/24-39
Title of paper: Characterizing intuitionistic fuzzy Г-Ideals of ordered Г-semigroups by means of intuitionistic fuzzy points
Author(s):
Aiyared Iampan
Department of Mathematics, School of Science University of Phayao, Phayao 56000, Thailand
aiyared.ia@up.ac.th
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21 (2015) Number 3, pages 24—39
Download:  PDF (207  Kb, File info)
Abstract: The notion of Г-semigroups was introduced by Sen in 1981 and that of intuitionistic fuzzy sets by Atanassov in 1986. Any semigroup can be reduced to a Г-semigroup but a Г-semigroup does not necessarily reduce to a semigroup. In this paper, we find some relations between the intuitionistic fuzzy ideals and the set of all intuitionistic fuzzy points of ordered Г-semigroups, and investigatesome properties of intuitionistic fuzzification of the concept of several ideals in term of characteristic mappings..
Keywords: Ordered Г-semigroup; Intuitionistic fuzzy set; Intuitionistic fuzzy ideal; Intuitionistic fuzzy point.
AMS Classification: 06F99, 03F55, 03E72
References:
  1. Akram, M. (2012) Intuitionistic fuzzy points and ideals of ternary semigroups, Int. J. Algebra Stat., 1, 74–82.
  2. Akram, M. (2013) Intuitionistic fuzzy prime bi-Г-ideals of Г-semigroups, Ann. Fuzzy Math. Inform., 5, 309–320.
  3. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets Syst., 20, 87–96.
  4. Atanassov, K. T. (1994) New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets Syst., 61, 137–142.
  5. Çoker, D., Demirci, M. (1995) On intuitionistic fuzzy points, Notes IFS, 1, 79–84.
  6. Chinram, R., Saelee, S. (2010) Fuzzy ideals and fuzzy filters of ordered ternary semigroups, J. Math. Res. 2, 93–97.
  7. Hong, Y., Xu, R., & Fang, X. (2007) Characterizing ordered semigroups by means of intuitionistic fuzzy bi-ideals, Mathware Soft Comput., 24, 57–66.
  8. Iampan, A. (2010) Characterizing fuzzy sets in ordered Г-semigroups, J. Math. Res., 2, 52–56.
  9. Kanlaya, A. & Iampan, A. (2014) Coincidences of different types of fuzzy ideals in ordered Г-semigroups,Korean J. Math., 22, 367–381.
  10. Kehayopulu, N. & Tsingelis, M. (1999) A note on fuzzy sets in semigroups, Sci. Math., 2, 411–413.
  11. Kehayopulu, N. & Tsingelis, M. (2002) Fuzzy sets in ordered groupoids, Semigroup Forum, 65, 128–132.
  12. Kehayopulu, N. & Tsingelis, M. (2007) Green’s relations in ordered groupoids in terms of fuzzy subsets, Soochow J. Math., 33, 383–397.
  13. Khan, F. M., Sarmin, N. H. & Khan, A. (2013) New types of generalized fuzzy bi Г-ideals in ordered Г-semigroups, Sci. Int. (Lahore),25, 411–418.
  14. Kim, K. H. & Jun, Y. B.(2001) Intuitionistic fuzzy interior ideals of semigroups,Int. J. Math. Math. Sci., 27, 261–267.
  15. Kim, K. H. & Jun, Y. B.(2002) Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math., 33, 443–449.
  16. Kim, K. H. & Lee, J. G. (2005) On intuitionistic fuzzy bi-ideals of semigroups, Turk. J. Math., 29, 201–210.
  17. Kim, V. I., Kozhukhov, I. B. & Yaroshevich, V. A. (2013) Weakly regular semigroups of isotone transformations, J. Math. Sci., New York, 191, 694–708.
  18. Kuroki, N. (1979) Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli, 27, 17–21.
  19. Kuroki, N. (1981) On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets Syst., 5, 203–215.
  20. Kuroki, N. (1991) On fuzzy semigroups, Inf. Sci. 53, 203–236.
  21. Lekkoksung, S. (2012) Intuitionistic fuzzy bi-ideals of Г-semigroups, Int. J. Contemp. Math. Sci., 7, 351–355.
  22. Majumder, S. K. & Sardar, S. K. (2009) On properties of fuzzy ideals in po-semigroup, Armenian J. Math., 2, 65–72.
  23. Rosenfeld, A. (1971) Fuzzy groups,J. Math. Anal. Appl., 35, 512–517.
  24. Saha, N. K. (1987) On Г-semigroup II, Bull. Calcutta Math. Soc., 79 , 331–335.
  25. Saha, N. K. (1988) On Г-semigroup III, Bull. Calcutta Math. Soc., 80, 1–12.
  26. Sardar, S. K., Davvaz, B. , Majumder, S. K., & Kayal, S. (2012) On generalized fuzzy interior ideals in Г-semigroups, Hacet. J. Math. Stat., 41, 231–241.
  27. Sardar, S. K., Majumder, S. K. & Mandal, M. (2011) Atanassov’s intuitionistic fuzzy ideals of Г-semigroups, Int. J. Algebra, 5, 335–353.
  28. Sardar, S. K., Mandal, M. & Majumder, S. K. (2011) Intuitionistic fuzzy points in semigroups, World Acad. Sci. Eng. Technol., 51, 1106–1111.
  29. Sen, M. K. (1981) On Г-semigroups, Proc. of the Int. Conf. on Algebra and it’s Appl., Decker Publication, New York, 301–308.
  30. Sen, M. K. & Saha, N. K. (1986) On Г-semigroup I, Bull. Calcutta Math. Soc., 78(3), 180–186.
  31. Sen, M. K. & Seth, A. (1993) On po-Г-semigroups, Bull. Calcutta Math. Soc., 85, 445–450.
  32. Uçkun, M., Öztürk, M. A. & Jun, Y. B. (2007) Intuitionistic fuzzy sets in Gammasemigroups, Bull. Korean Math. Soc., 44, 359–367.
  33. Prince Williams, D. R., Latha, K. B., & Chandrasekeran, E. (2009) Fuzzy bi-Г-ideals in Г-semigroups, Hacet. J. Math. Stat., 38, 1–15.
  34. Zadeh, L. A. (1965) Fuzzy sets, Inf. Cont., 8, 338–353.
  35. Zhan, J. M., & Ma, X. L. (2008) On fuzzy interior ideals in semigroups, J. Math. Res. Expo., 28, 103–110.
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:Characterizing_intuitionistic_fuzzy_Г-Ideals_of_ordered_Г-semigroups_by_means_of_intuitionistic_fuzzy_points&oldid=12832"