Volume 21 , Issue 3 , PP: 47-55, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
V. Amarendra Babu 1 * , G. Bhanu Vinolia 2 , T. Anitha 3
Doi: https://doi.org/10.54216/IJNS.210304
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.
Lattice Wajsberg Algebras , Neutrosophic sets , &epsilon , , &delta , &ndash , filters and (&phi , , &rho , )- filters.
[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.