MBJ-neutrosophic filters of equality algebras

Document Type: Original Article


1 Department of Mathematics, Shahid Beheshti University, Tehran, Iran

2 Hatef University


In this paper, we introduce the notion of MBJneutrosophic sub-algebra and MBJ-neutrosophic filter on equality algebras and investigate some equivalence definitions, properties and the relation between them. Also, by using the notion of MBJ-neutrosophic filter, we introduce a congruence relation on equality algebra and show that the quotient is an equality algebra.