Nw–filters of lattice Wajsberg algebras

Anitha, T.; Babu, V. Amarendra; Vinolia, G. Bhanu

doi:10.28919/jmcs/5491

J. Math. Comput. Sci. 11 (2021), 2287–2300

Nw–filters of lattice Wajsberg algebras

T. Anitha, V. Amarendra Babu, G. Bhanu Vinolia

PDF (314.7 KB) https://doi.org/10.28919/jmcs/5491

Abstract

In this paper, we define the 𝔑𝓌 – filters of Lattice wajsberg algebras. We prove that every truth – favorite set of 𝔑𝓌 – filter is also 𝔑𝓌 – filter and falsity - favorite set need not to be a 𝔑𝓌 – filter. After that we prove that some properties of 𝔑𝓌 – filters. Further we show the cut set of Truth-value based neutrosophic set are also 𝔑𝓌 – filters. Finally we define the 𝔑𝓌 – lattice filters of Lattice wajsberg algebra and example is given. We prove that every 𝔑𝓌 – filter is a 𝔑𝓌 – lattice filter of Lattice wajsberg algebra and converse need not be true.

Published: 25 March 2021
Volume: 11 (2021)
License: CC BY 3.0

Copyright © 2021 T. Anitha, V. Amarendra Babu, G. Bhanu Vinolia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

T. Anitha, V. A. Babu, G. B. Vinolia, Nw–filters of lattice Wajsberg algebras, J. Math. Comput. Sci. 11 (2021), 2287–2300. https://doi.org/10.28919/jmcs/5491

BibTeX

@article{Anitha2021,
  author  = {Anitha, T. and Babu, V. Amarendra and Vinolia, G. Bhanu},
  title   = {Nw–filters of lattice Wajsberg algebras},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {2287--2300},
  doi     = {10.28919/jmcs/5491}
}