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International Journal of Neutrosophic Science
Volume 13 , Issue 2, PP: 66-74 , 2021 | Cite this article as | XML |PDF


Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps

Authors Names :   A. Vadivel   1 *     C. John Sundar   2  

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

    Email :  avmaths@gmail.com

2  Affiliation :  Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India

    Email :  johnphdau@hotmail.com

Doi   :   https://doi.org/10.54216/IJNS.130203

Received:Octobre 30, 2020 Accepted: January 20, 2021

Abstract :

The neutrosophic δ-open set is one of the strongest forms of neutrosophic topological spaces. In this article, we introduce the concept of neutrosophic δ-open maps and neutrosophic δ-closed maps and investigate their neighbor maps such as δS, δp & e* open maps and closed maps of neutrosophic topological spaces. Also, we analyze some of their related properties and extension to neutrosophic e*- homeomorphism and neutrosophic e* T½-space in neutrosophic topological spaces. Furthermore, these kinds of δ-open functions have strong application in the area of neural networks and image processing theory. 

Keywords :

neutrosophic δ-open map , neutrosophic δ-closed map , neutrosophic e*-open map , neutrosophic e*-closed map , neutrosophic e* T½-space  , neutrosophic e*-homeomorphism

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Cite this Article as :
A. Vadivel , C. John Sundar, Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps, International Journal of Neutrosophic Science, Vol. 13 , No. 2 , (2021) : 66-74 (Doi   :  https://doi.org/10.54216/IJNS.130203)