ON NEUTROSOPHIC \(\mathbf{\Upsilon}\)- OPEN SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 18

Volume : 20 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2024.2003.25
Author :
C. Reena (Department of Mathematics, St. Mary s College (Autonomous), Thoothukudi - 628001, Tamil Nadu, INDIA)
K. S. Yaamini (Department of Mathematics, St. Mary s College (Autonomous), Thoothukudi - 628001, Tamil Nadu, INDIA)

Abstract

We present a novel concept of neutrosophic sets namely neutrosophic \(\Upsilon\)-open and neutrosophic \(\Upsilon\)-closed sets in neutrosophic topological spaces. We also study in detail the properties of neutrosophic \(\Upsilon\)-open sets and its relation with other neutrosophic sets. In addition, we define and examine the attributes of neutrosophic \(\Upsilon\)-interior and neutrosophic \(\Upsilon\)-closure operators.

Keywords and Phrases

Neutrosophic \(\Upsilon\)-open, neutrosophic \(\Upsilon\)-closed, neutrosophic \(\Upsilon\)-interior, neutrosophic \(\Upsilon\)-closure.

A.M.S. subject classification

54A05.

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