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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 20, Issue 3 Article
Research Article

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

C
C. Reena Department of Mathematics, St. Mary s College (Autonomous), Thoothukudi - 628001, Tamil Nadu, INDIA
K
K. S. Yaamini Department of Mathematics, St. Mary s College (Autonomous), Thoothukudi - 628001, Tamil Nadu, INDIA
Volume 20, Issue 3 Pages 323-340 December 30, 2024 107 downloads
Article overview

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 \(\Upsilon\)-openneutrosophic \(\Upsilon\)-closedneutrosophic \(\Upsilon\)-interiorneutrosophic \(\Upsilon\)-closure.

AMS Subject Classification

54A05.

Reference information

How to Cite

C. Reena, K. S. Yaamini (2024). ON NEUTROSOPHIC \(\mathbf{\Upsilon}\)- OPEN SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 323-340.
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