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International Journal of Neutrosophic Science
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Title

ε,δ – Filters of Lattice Wajsberg Algebras

  V. Amarendra Babu 1 * ,   G. Bhanu Vinolia 2 ,   T. Anitha 3

1  Acharya Nagarjuna University,Nagarjuna Nagar. Guntur,A.P., India
    (amarendravelisela@ymail.com)

2  APIIIT Nuzvid, A.P., India
    (bnbbattu@rguktn.ac.in)

3  Koneru Lakshmaiah Education Foundation, Guntur,A.P.,India
    (anitha.t537@gmail.com)

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Doi   :   https://doi.org/10.54216/IJNS.210304

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

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; ε , δ – filters and (φ , ρ)- 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.

Cite this Article as :
Style #
MLA V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha. "ε,δ – Filters of Lattice Wajsberg Algebras." International Journal of Neutrosophic Science, Vol. 21, No. 3, 2023 ,PP. 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
APA V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha. (2023). ε,δ – Filters of Lattice Wajsberg Algebras. Journal of International Journal of Neutrosophic Science, 21 ( 3 ), 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
Chicago V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha. "ε,δ – Filters of Lattice Wajsberg Algebras." Journal of International Journal of Neutrosophic Science, 21 no. 3 (2023): 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
Harvard V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha. (2023). ε,δ – Filters of Lattice Wajsberg Algebras. Journal of International Journal of Neutrosophic Science, 21 ( 3 ), 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
Vancouver V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha. ε,δ – Filters of Lattice Wajsberg Algebras. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 3 ): 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
IEEE V. Amarendra Babu, G. Bhanu Vinolia , T. Anitha, ε,δ – Filters of Lattice Wajsberg Algebras, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 3 , (2023) : 47-55 (Doi   :  https://doi.org/10.54216/IJNS.210304)
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