Nw–filters of lattice Wajsberg algebras

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.