More on Neutrosophic Nano Open Sets

A. Vadivel1,∗, C. John Sundar2, K. Kirubadevi3, S. Tamilselvan4

1PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur - 639 005,

India.

1,2Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.

3Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, Namakkal - 637 401,

India.

4Mathematics Section (FEAT), Annamalai University, Annamalai Nagar - 608 002, India.

Emails: avmaths@gmail.com1; johnphdau@hotmail.com2; kirubadevi08@gmail.com3;

tamil au@yahoo.com4

Abstract

In this paper, we introduce the concepts of neutrosophic nano δ-open sets and some stronger and weaker forms

of neutrosophic nano open sets in neutrosophic nano topological spaces. And, show that the set of all neutrosophic

nano δ-open sets are also a neutrosophic nano topology, which is called the neutrosophic nano δ

topology. Further, we dealt with the concepts of neutrosphic nano δ-interior and neutrosophic nano δ-closure

operators. Moreover, we define the product related neutrosophic nano topological spaces and proved some

theorems related to this.

Keywords: neutrosophic nano open, neutrosophic nano δ-open; neutrosophic nano δ-α open; neutrosophic

nano δ-S open; neutrosophic nano δ-P open; neutrosophic nano δ-γ open and neutrosophic nano δ-β open

AMS (2000) subject classification: 03E72; 54A05; 54A40.