On various weakly prime fuzzy ideals of semirings
Downloads
DOI:
https://doi.org/10.26637/MJM0704/0023Abstract
The notions of the weakly prime fuzzy ideals and three weakly fuzzy $m_0\left(m_1, m_2\right)$-systems of semirings are introduced. Six different prime fuzzy ideals are characterized by fuzzy points, their respective (weakly)fuzzy $m$-systems, respective $m$-systems and respective prime ideals in semirings. To validate our results, the examples are provided.
Keywords:
Weakly 0−(1−2)-prime fuzzy ideals, fuzzy m-systemMathematics Subject Classification:
Mathematics- Pages: 771-774
- Date Published: 01-10-2019
- Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
Alarcon F.E and Anderson D.D, Commutative semiring and their lattices of ideals, Houston Journal of Mathematics, 20(4)(1994), 571-590.
Dheena.P and Mohanraj.G, $(lambda, mu)$-fuzzy ideals in Semirings, Advances in Fuzzy Mathematics, 6(2)(2011), $183-$ 192.
Dheena.P, and Mohanraj.G, Fuzzy weakly prime ideals of near-subtraction semigroups, Annals of Fuzzy Mathematics and Informatics, 4(2)(2012), 235-242.
Dheena.P and Mohanraj.G, On $(lambda, mu)$-fuzzy prime ideals of semirings, The Journal of Fuzzy Mathematics, $20(3)(2012), 889-898$.
Dheena.P and Coumaressane.S, Fuzzy 2-(0-or1)-prime ideals in semirings, Bulletin Korean Mathematical Society, 43(3)(2006), 559-573.
Mohanraj.G, Krishnasamy.D and Hema.R, On fuzzy $m$ systems and $n$-systems of ordered semigroups, Annals of Fuzzy Mathematics and Informatics, 7(1)(2014), 173179.
Mohanraj.G, Hema.R and Prabu.E, On various weak fuzzy prime ideals of ordered semigroup, Proceedings of the International Conference on Mathematical Sciences published by Elsevier, (2014), 475-479.
Mohanraj.G and Prabu.E, Weakly fuzzy prime ideal of hemiring, Proceedings of the International Conference on Mathematical Sciences published by Elsevier,(2014), $480-483$.
Mohanraj.G and Prabu.E, Generalized fuzzy right $h-$ ideals of hemirings redefined by fuzzy sums and products,Bulletin of the International Mathematical Virtual Institute, 7(3)(2017), 527-538.
Mohanraj.G and Azhaguvelavan.S, On weakly prime $(lambda, mu)$-fuzzy ideals of semirings, Mathematical Sciences International Research Jourmal(IMRF), 7(2018), 138144.
Mohanraj.G and Azhaguvelavan.S, Weakly prime fuzzy ideals of hemirings, Submitted.
Mohanraj.G and Azhaguvelavan, Various generalized prime fuzzy ideals of semirings, AIP Conference Proceedings, (2019), 020020-1-020020-8.
Nandakumar.P, 1 - (2)-prime ideals in semirings, Kyungpook Mathematical Journal, 50(2010), 117-122.
- NA
Similar Articles
- M. Kaliraja, M. Sasikala, Premises on fuzzy factorizable perfect intrinsic edge-magic graphs , Malaya Journal of Matematik: Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.