Nw–filters of lattice Wajsberg algebras

T. Anitha, V. Amarendra Babu, G. Bhanu Vinolia
Published 2021-03-25
DOI 10.28919/jmcs/5491

Abstract

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

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How to Cite this Article

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

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.