– Filters of Lattice Wajsberg Algebras

V. Amarendra Babu^*1, G. Bhanu Vinolia  ², T. Anitha³

¹Acharya Nagarjuna University,Nagarjuna Nagar. Guntur,A.P., India

² APIIIT Nuzvid, A.P., India

³ Koneru Lakshmaiah Education Foundation, Guntur,A.P.,India

Emails:amarendravelisela@ymail.com; bnbbattu@rguktn.ac.in; anitha.t537@gmail.com

Abstract

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.

Keywords: Lattice Wajsberg Algebras; Neutrosophic sets; ε, δ – filters and (φ, ρ)- filters.