Affiliations: [a] Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India
| [b]
College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
| [c] Department of Mathematics & Science, University of New Maxico, NM, USA
| [d] Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Correspondence:
[*]
Corresponding author. M. Parimala, Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638 401, Tamil Nadu, India. E-mail: rishwanthpari@gmail.com.
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.
