Neutrosophic αψ -connectedness

Abstract

 Neutrosophic topological space is an extension of intuitionistic topological space and each triplet set in neutrosophic topological space contains membership, indeterminacy and non-membership values. Connected set in intuitionistic topological set contains membership and non-membership values and inderterminacy have not discussed in that set. This motivates the authors to propose this novel concept called neutrosophic αψ-connectedness. So we introduce the new notion of neutrosophic αψ-connectedness in neutrosophic topological spaces and investigate some properties of neutrosophic αψ-connectedness between sets and subsets of two sets. Some properties of this concept presented with numerical quantities to prove the non-existence.