1
Department of Mathematics, Seethalakshmi Achi College for Women, Pallathur-630 107, India
(meenakshi.sac@rediffmail.com)
2
Department of Mathematics, Alagappa University, Karaikudi - 630 004, Tamil Nadu, India
(mullaim@alagappauniversity.ac.in)
3
Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous),Periyakulam, Theni(Dist)Tamilnadu, India
(pksanthimat@annejac.ac.in)
4
Department of Mathematics, Seethalakshmi Achi College for Women, Pallathur-630 107, India
(selvi.jasmine90@gmail.com)
Abstract :
In this paper, we introduce the concept of neutrosophic fuzzy lattice via fuzzy partial ordering. The definition of neutrosophic fuzzy lattice and equipotent are developed with suitable examples. Cartesian product and some equivalent properties of neutrosophic fuzzy lattice are discussed . Also some theorems on neutrosophic fuzzy lattice are developed here.
Keywords :
Fuzzy lattice; Fuzzy partial ordering; ephimorphism; Neutrosophic Fuzzy lattice.
References :
[1] Garrett Birkhoff, Lattice theory- 3rd edn. Amer.Math.Soc.Colloquium Pub 25(1984).
[2] Chakrabarty Kankana ”On fuzzy lattice”- Springer.Verlag Berlin Heidelberg pp.238-242(2001).
[3] Florentin Smarandache, ”NeutroAlgebra is a Generalization of Partial Algebra”, International Journal of Neutrosophic Science (IJNS) Vol. 2, No. 1, PP. 08-17, 2020.
[4] M.A. Ibrahim, A.A.A. Agboola, et.al., ”Introduction to Neutrosophic Subtraction Algebra and Neutrosophic Subtraction Semigroup”, International Journal of Neutrosophic Science (IJNS) , Vol. 2, No. 1, PP. 47-62, 2020.
[5] Metawee Songsaeng and Aiyared Iampan , ”Image and Inverse Image of Neutrosophic Cubic Sets in UP-Algebras under UP-Homomorphisms”, International Journal of Neutrosophic Science, Volume 3 , Issue 2, PP: 89-107 , 2020.
[6] Mohsin Khalid and Young Bae Jun, et.al., ”Magnification of MBJ-Neutrosophic Translation on GAlgerbra”, International Journal of Neutrosophic Science, Volume 2 , Issue 1, PP: 27-37 , 2020.
[7] R. Meenakshi, “Fuzzy ℓ-ideals Via Fuzzy ℓ- Partial Ordering” -International Journal of Applied Mathematical Sciences, Volume 9, Number 1 pp 113- 116 (2016) .
[8] Nanda S. Fuzzy lattice, Bulletin Calcutta math.Soc.81 pp 1-2(1989).
[9] Vasantha Kandasamy and Florentin Smarandache, Neutrosophic Lattices, Neutrosophic Sets and Systems, Vol. 2(2013). [10] L.A. Zadeh, Fuzzy sets, Information and control 8(1965),338- 353.
| Style | # |
|---|---|
| MLA | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi. "Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering." International Journal of Neutrosophic Science, Vol. 21, No. 1, 2023 ,PP. 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |
| APA | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi. (2023). Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |
| Chicago | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi. "Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering." Journal of International Journal of Neutrosophic Science, 21 no. 1 (2023): 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |
| Harvard | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi. (2023). Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |
| Vancouver | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi. Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 1 ): 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |
| IEEE | R. Meenakshi, M. Mullai, P. K. Santhi, S. Pandiselvi, Neutrosophic Fuzzy lattice Via Fuzzy Partial Ordering, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 1 , (2023) : 64-68 (Doi : https://doi.org/10.54216/IJNS.210105) |