1
Department of Freshman Engineering, Pvp Siddhartha institute of Technology, Vijayawada, India
(vsnm.maths@gmail.com)
2
Department of Freshman Engineering, Pvp Siddhartha institute of Technology, Vijayawada, India
(kkumark2005@yahoo.co.in)
3
Department of Mathematics,KKR&KSR Institute of technology,Guntur, India
(mblakshmi12@gmail.com)
4
Department of Mathematics, Government polytechnic for minorities,Guntur, India
(gunturuluka@gmail.com)
5
Department of Mathematics, KL university, Vaddeswaram, India
(tsr_2505@kluniversity.in)
Abstract :
Neutrosophic set theory is applied to lattice implication algebra, and the concept of neutrosophic filters and neutrosophic lattice filters in lattice implication algebra are introduced. Several properties are investigated. Characterizations of a neutrosophic filter are discussed. Finally, we proved that every neutrosophic filter is a neutrosophic lattice filter, but the converse is invalid.
Keywords :
Neutrosophic set(NS); Lattice implication algebra (LIA); Neutrosophic filter(NF); Neutrosophic lattice filter(NLF)
References :
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| Style | # |
|---|---|
| MLA | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao. "Application of Neutrosophic Filters in Lattice Implication Algebra." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |
| APA | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao. (2023). Application of Neutrosophic Filters in Lattice Implication Algebra. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |
| Chicago | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao. "Application of Neutrosophic Filters in Lattice Implication Algebra." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |
| Harvard | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao. (2023). Application of Neutrosophic Filters in Lattice Implication Algebra. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |
| Vancouver | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao. Application of Neutrosophic Filters in Lattice Implication Algebra. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |
| IEEE | V. S. Naga Malleswari, Kiran kumar, K. Bhagya Lakshmi, G. Luka, T. Srinivasa Rao, Application of Neutrosophic Filters in Lattice Implication Algebra, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 223-234 (Doi : https://doi.org/10.54216/IJNS.200418) |