Article Sidebar

Submitted
July 13, 2019
Accepted
April 13, 2020
Published
November 5, 2020
Download
PDF
Statistic
Read Counter : 552 Download : 334

Downloads

Download data is not yet available.

Main Article Content

Abstract

The purpose of this study is to initiate the notion of anti fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals in non-associative and non-commutative ordered semigroups. We characterize different classes of non-associative and non-commutative ordered semigroups in terms of such ideals.

Keywords

Fuzzy sets anti fuzzy AG-subgroupoids anti fuzzy left (resp. right bi- generalized bi- (1 2)-) ideals. 2010 MSC 03F55 08A72 20N25

Article Details

Author Biography

Nasreen Kausar, Department of Mathematics and Statistics, University of Agriculture, Faisalabad

Mathematics 

Assistant Professor

How to Cite
Kausar, N., Munir, M., Gulzar, M., Addis, G. M., & Anjum, R. (2020). Anti fuzzy bi-ideals on ordered AG-groupoids. Journal of the Indonesian Mathematical Society, 26(3), 299–318. https://doi.org/10.22342/jims.26.3.862.299-318
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX
Crossref
Scopus
Google Scholar
Europe PMC

References

  1. M. Akram and K. H. Dar, On anti fuzzy left h-ideals in hemirings, Int. Math. Forum, 2(2007) 2295-2304.
  2. N. Kausar, M. Waqar, Characterizations of non-associative rings by their intuitionistic fuzzy bi-ideals, European Journal of Pure and Applied Mathematics, Vol. 12, 1(2019) 226-250.
  3. N. Kausar, Characterizations of non-associative ordered semigroups by the properties of their fuzzy ideals with thresholds (α; β]; Prikladnaya Diskretnaya Matematika, Vol. 43(2019) 37-
  5. N. Kausar, Direct product of finite intuitionistic anti fuzzy normal subrings over nonassociative rings, European Journal of Pure and Applied Mathematics, Vol. 12, 2(2019) 622-648.
  6. N. Kausar, B. Islam, M. Javaid, S, Amjad, U. Ijaz, Characterizations of non-associative rings
  7. by the properties of their fuzzy ideals, Journal of Taibah University for Science, Vol. 13, 1(2019) 820-833.
  8. N. Kausar, B. Islam, S. Amjad, M. Waqar, Intuitionistics fuzzy ideals with thresholds (α; β] in LA-rings, European Journal of Pure and Applied Mathematics, Vol. 12, 3(2019) 906-943.
  9. N. Kausar, M. Waqar, Direct product of finite fuzzy normal subrings over non-associative rings, International Journal of Analysis and Applications, Vol. 17, 5(2019) 752-770.
  10. N. Kausar, M. Alesemi, Salahuddin, Anti fuzzy interior ideals on Ordered AG-groupoids, European Journal of Pure and Applied Mathematics, Vol. 13, 1(2020) 113-129.
  11. N. Kausar, Meshari Alesemi, Salahuddin, Fuzzy ideals on ordered AG-groupoids", International Journal of Analysis and Applications, Vol. 18, 2(2020) 277-303.
  12. N. Kausar, Meshari Alesemi, Salahuddin, Mohammad Munir Characterizations of nonassociative ordered semigroups by their intuitionistic fuzzy bi-ideals, Discontinuity, Nonlinearity, and Complexity Vol. 9, 2(2020) 257-275.
  13. M Kaviyarasu, K Indhira, VM Chandrasekaran, Fuzzy sub algebras and Fuzzy K-ideals in INK-algebras, International Journal of Pure and Applied Mathematics, vol. 113, 6(2017) 47-55.
  14. M Kaviyarasu, K Indhira, VM Chandrasekaran, Direct Product of Intuitionistic Fuzzy KIdeals of INK-Algebras, Materials Today: Proceedings, vol. 16(2019) 449-455.
  15. M. A. Kazim and M. Naseerudin, On almost semigroups, Alig. Bull. Math., 2(1972) 1-7.
  16. N. Kehayopulu, On intra-regular ordered semigroups, Semigroup Forum, 46(1993) 271-278.
  17. N. Kehayopulu and M. Tsingelis, Fuzzy sets in ordered groupoids, Semigroup Forum, 65(2002) 128-132.
  18. N. Kuroki, On fuzzy semigroups, Inform. Sci., 5(1991) 203-36.
  19. S. K. Majumder and S. K. Sardar, On some properties of anti fuzzy subgroups, J. Mech. Cont. Math. Sci., 3(2008) 337-343.
  20. A. Al-Masarwah and A.G. Ahmad, m-Polar fuzzy ideals of BCK/BCI-algebras. J. King Saud Univ.-Sci., Vol. 31 4(2019) 1220-1226.
  21. A. Al-Masarwah and A.G. Ahmad, On (complete) normality of m-pF subalgebras in BCK/BCI-algebras, AIMS Mathematics Vol. 4, 3(2019) 740-750.
  22. A. Al-Masarwah and A.G. Ahmad, On some properties of doubt bipolar fuzzy H-ideals in BCK/BCI-algebras. Eur. J. Pure Appl. Math. Vol. 11, 3(2018) 652-670.
  23. A. Al-Masarwah and A.G. Ahmad, Doubt bipolar fuzzy subalgebras and ideals in BCK/BCIalgebras. J. Math. Anal. Vol. 9, 3(2018) 9-27.
  24. A. Al-Masarwah and A.G. Ahmad, Novel concepts of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. Int. J. Innov. Comput. Inf. Control. Vol. 14, 6(2018) 2025-2041.
  25. J. N. Mordeson, D. S. Malik and N. Kuroki, Fuzzy semigroups, Springer, Berlin, (2003).
  26. M. Abu. Qamar and N. Hassan, An approach toward a Q-neutrosophic soft set and its application in decision making, Symmetry, Vol. 11, 2(2019), 139.
  27. M. Abu. Qamar and N. Hassan, Q-neutrosophic soft relation and its application in decision making, Entropy, Vol. 20, 3(2018), 172.
  28. T. Shah, N. Kausar and I. Rehman, Intuitionistic fuzzy normal subrings over a non-associative ring, An. St. Univ. Ovidius Constanta, Vol. 20(2012) 369-386.
  29. T. Shah and N. Kausar, Characterizations of non-associative ordered semigroups by their fuzzy bi-ideals, Theoretical Computer Science, Vol. 529(2014) 96-110.
  30. L. A. Zadeh, Fuzzy sets, Information and control, Vol. 8(1965) 338-363.