HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS

Volume: 8 Number: 2 December 1, 2018
  • M. Y. Abbasi
  • A. F. Talee
  • X. Y. Xie
  • S. A. Khan
EN

HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS

Abstract

In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties are investigated. We discuss the relationship between between prime semi prime ideals and 3-prime ideals in po-semigroup by means of the extensions hesitant fuzzy ideals.

Keywords

References

  1. [1] Abbasi, M. Y., Talee, A. F. and Basar, A., On properties of hesitant fuzzy ideals in semigroups (submitted).
  2. [2] Abbasi, M. Y., Talee, A. F. and Basar, A., Hesitant fuzzy ideals in po-semigroup (submitted).
  3. [3] Davvaz, B. and Khan, A., (2012), Generalized fuzzy filters in ordered semigroups, Iranian J. Sci. and Tech., A1, 77-86.
  4. [4] Jun, Y. B. and Song, S. Z., (2014), Hesitant fuzzy set theory applied to filters in MTL-algebras, Honam Math. J., 36 , 813-830.
  5. [5] Jun, Y. B., Lee, K. J. and Song, S. Z., (2015), Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc., 30 , 143-154.
  6. [6] Jun, Y. B., Ahn, S. S. and Muhiuddin, G., (2014), Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras, the Scientific World Journal, 1-7.
  7. [7] Kehayopulu, N. and Tsingelis, M., (2004), Fuzzy bi-ideals in ordered semigroups, Inform. Sci., 171 , 13-28.
  8. [8] Kuroki, N., (1979), Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli, XXVIII-1 , 17-21.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Y. Abbasi This is me

A. F. Talee This is me

X. Y. Xie This is me

S. A. Khan This is me

Publication Date

December 1, 2018

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2018 Volume: 8 Number: 2

APA
Abbasi, M. Y., Talee, A. F., Xie, X. Y., & Khan, S. A. (2018). HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. TWMS Journal of Applied and Engineering Mathematics, 8(2), 509-521. https://izlik.org/JA95HB94BB
AMA
1.Abbasi MY, Talee AF, Xie XY, Khan SA. HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. JAEM. 2018;8(2):509-521. https://izlik.org/JA95HB94BB
Chicago
Abbasi, M. Y., A. F. Talee, X. Y. Xie, and S. A. Khan. 2018. “HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS”. TWMS Journal of Applied and Engineering Mathematics 8 (2): 509-21. https://izlik.org/JA95HB94BB.
EndNote
Abbasi MY, Talee AF, Xie XY, Khan SA (December 1, 2018) HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. TWMS Journal of Applied and Engineering Mathematics 8 2 509–521.
IEEE
[1]M. Y. Abbasi, A. F. Talee, X. Y. Xie, and S. A. Khan, “HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS”, JAEM, vol. 8, no. 2, pp. 509–521, Dec. 2018, [Online]. Available: https://izlik.org/JA95HB94BB
ISNAD
Abbasi, M. Y. - Talee, A. F. - Xie, X. Y. - Khan, S. A. “HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS”. TWMS Journal of Applied and Engineering Mathematics 8/2 (December 1, 2018): 509-521. https://izlik.org/JA95HB94BB.
JAMA
1.Abbasi MY, Talee AF, Xie XY, Khan SA. HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. JAEM. 2018;8:509–521.
MLA
Abbasi, M. Y., et al. “HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 2, Dec. 2018, pp. 509-21, https://izlik.org/JA95HB94BB.
Vancouver
1.M. Y. Abbasi, A. F. Talee, X. Y. Xie, S. A. Khan. HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. JAEM [Internet]. 2018 Dec. 1;8(2):509-21. Available from: https://izlik.org/JA95HB94BB