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On Fuzzy Ideals Of Subtraction Semigroups
Abstract
In this paper, we introduce the notion of fuzzy interior ideal, fuzzy bi-ideal, intuitionistic fuzzy interior ideal and intuitionistic fuzzy bi-ideal of a subtraction semigroup. We characterize a non-empty subset of a subtraction semigroup X through intuitionistic fuzzy ideal, intuitionistic fuzzy bi-ideal and intuitionistic fuzzy interior ideal. We give some equivalent conditions related to these notions.
Keywords
References
- Atanassov K.T., 1986. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, 87-96.
- Atanassov K.T., 1994. New operations defined over the intuitionistic fuzzy sets,
- Fuzzy Sets and Systems 61, 137-142. Abbott J.C., 1969. Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston.
- Dheena P., Satheesh Kumar G., 2007. On strongly regular near-subtraction semigroups, Commun. Korean Math. Soc. 22, No.3, 323-330.
- Dheena P., Mohanraj G., 2012. Fuzzy weakly prime ideals of near-subtraction semigroups, Annals of Fuzzy Mathematics and Informatics, Vol.4, No.2, 235-242.
- Jun Y.B., Kim H.S., Roh E.H., 2004. Ideal theory of subtraction algebras, Sci. Math. Jpn. Online e-2004, 397-402.
- Jun Y.B., Kim H.S., 2006. On ideals in subtraction algebras, Sci. Math. Jpn. Online e-2006, 1081-1086.
- Kim H.S., Jun Y.B., 2002. Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math., 33(4), 443-449.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 3, 2014
Submission Date
December 11, 2013
Acceptance Date
-
Published in Issue
Year 2014 Volume: 9 Number: 1
APA
Çeven, Y., & Çiloğlu, Z. (2014). On Fuzzy Ideals Of Subtraction Semigroups. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 9(1), 193-202. https://izlik.org/JA56RB82DU
AMA
1.Çeven Y, Çiloğlu Z. On Fuzzy Ideals Of Subtraction Semigroups. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2014;9(1):193-202. https://izlik.org/JA56RB82DU
Chicago
Çeven, Yılmaz, and Zekiye Çiloğlu. 2014. “On Fuzzy Ideals Of Subtraction Semigroups”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 9 (1): 193-202. https://izlik.org/JA56RB82DU.
EndNote
Çeven Y, Çiloğlu Z (June 1, 2014) On Fuzzy Ideals Of Subtraction Semigroups. Süleyman Demirel University Faculty of Arts and Science Journal of Science 9 1 193–202.
IEEE
[1]Y. Çeven and Z. Çiloğlu, “On Fuzzy Ideals Of Subtraction Semigroups”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 9, no. 1, pp. 193–202, June 2014, [Online]. Available: https://izlik.org/JA56RB82DU
ISNAD
Çeven, Yılmaz - Çiloğlu, Zekiye. “On Fuzzy Ideals Of Subtraction Semigroups”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 9/1 (June 1, 2014): 193-202. https://izlik.org/JA56RB82DU.
JAMA
1.Çeven Y, Çiloğlu Z. On Fuzzy Ideals Of Subtraction Semigroups. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2014;9:193–202.
MLA
Çeven, Yılmaz, and Zekiye Çiloğlu. “On Fuzzy Ideals Of Subtraction Semigroups”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 9, no. 1, June 2014, pp. 193-02, https://izlik.org/JA56RB82DU.
Vancouver
1.Yılmaz Çeven, Zekiye Çiloğlu. On Fuzzy Ideals Of Subtraction Semigroups. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2014 Jun. 1;9(1):193-202. Available from: https://izlik.org/JA56RB82DU