BMBJw – Filters Of Lattice Wajsberg Algebras

Abstract

In this paper we define the  BMBJw - filters of Lattice wajsberg algebras and prove  some of the properties of BMBJw - filters. We derive some relations between fuzzy filters, intuitionistic fuzzy filters to BMBJw - filters of Lattice wajsberg algebras. Further we prove that  M_B^J –  cut sets formed BMBJw – filters.  Finally we define the BMBJw  - sub algebra and prove that every BMBJw – filter is a BMBJw - sub algebra. Later we give a condition to  BMBJw  - sub algebra is a BMBJw – filter.