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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 21 • Issue 3 • PP: 47-55 • 2023

ε,δ – Filters of Lattice Wajsberg Algebras

V. Amarendra Babu 1*
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,
G. Bhanu Vinolia 2
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,
T. Anitha 3
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1Acharya Nagarjuna University,Nagarjuna Nagar. Guntur,A.P., India
2APIIIT Nuzvid, A.P., India
3Koneru Lakshmaiah Education Foundation, Guntur,A.P.,India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210304
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 26, 2023 Revised: April 19, 2023 Accepted: June 16, 2023
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Abstract

In this paper, we defined the ε, δ – filters and (φ, ρ)- filters of Lattice Wajsberg algebras and related assets are discussed. We prove that every (ε, ε)– filters are (ε, ε V δ)– filters and provide the condition for (ε, ε V δ)– filters are (ε, ε)– filters. Further conditions for ε V δ –filters are discussed.

Keywords

Lattice Wajsberg Algebras Neutrosophic sets &epsilon &delta &ndash filters and (&phi &rho )- filters.

References

[1] A. Ibrahim and Saravan, On implicative and Strong Implicative Filters of Lattice Majsberg Algebras, Global Journal of Mathematical Sciences: Theory and Pratcical, vol.9,issue 3, (2017), 387-397.

[2] BasheerAhamed.M and Ibrahim. A, Fuzzy implicative filters of lattice wajsberg Algebras, Advances in Fuzzy Mathematics, Vol. 6, issue 2 (2011), 235-243.

[3] Font. J. M. Rodriguez. A. J and Torrens. A, Wajsbergalgebras, STOCHASTICA Vol.8, issue 1 (1984), 5-31

[4] H. Wang, P. Madiraju, Y. Zhang and R. Sunderramn. Interval neutrosophic sets. International

Journal of Applied Mathematics and Statistics, vol. 3,issue 5(2005),1-18.

[5] MonoranjanBhommil and Madhumangal,” Intuitionistic Neutrosophic Set”, journal of nformation and Computiong Science, vol.4, issue 2, (2009), 142-152

[6]smarandache F., Neutrosophic set, a generalization of intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics,vol.24, issue5( 2005), 287–297

[7]Wajsberg. M, BeitragezumMetaaussagenkalkul1, Monat. Mat. phys. 42 (1935) page 240

[8]T.Anitha, V. Amarendra Babu,, G. Bhanu Vinolia.neutrosophic – filters of Lattice wajsberg Algebras”, J. Math.Comput.Sci.”, vol.11, issue 2,(2020), 2287-2300.

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Babu, V. Amarendra, Vinolia, G. Bhanu, Anitha, T.. "ε,δ – Filters of Lattice Wajsberg Algebras." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 3, 2023, pp. 47-55. DOI: https://doi.org/10.54216/IJNS.210304
Babu, V., Vinolia, G., Anitha, T. (2023). ε,δ – Filters of Lattice Wajsberg Algebras. International Journal of Neutrosophic Science, Volume 21(Issue 3), 47-55. DOI: https://doi.org/10.54216/IJNS.210304
Babu, V. Amarendra, Vinolia, G. Bhanu, Anitha, T.. "ε,δ – Filters of Lattice Wajsberg Algebras." International Journal of Neutrosophic Science Volume 21, no. Issue 3 (2023): 47-55. DOI: https://doi.org/10.54216/IJNS.210304
Babu, V., Vinolia, G., Anitha, T. (2023) 'ε,δ – Filters of Lattice Wajsberg Algebras', International Journal of Neutrosophic Science, Volume 21(Issue 3), pp. 47-55. DOI: https://doi.org/10.54216/IJNS.210304
Babu V, Vinolia G, Anitha T. ε,δ – Filters of Lattice Wajsberg Algebras. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 3):47-55. DOI: https://doi.org/10.54216/IJNS.210304
V. Babu, G. Vinolia, T. Anitha, "ε,δ – Filters of Lattice Wajsberg Algebras," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 3, pp. 47-55, 2023. DOI: https://doi.org/10.54216/IJNS.210304
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