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On e*-regularity and e *-normality in intuitionistic fuzzy topological spaces

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1Department of Mathematics, Ponnaiyah Ramajayam Institute of Science &amp2Technology (Prist) (Institution Deemed to Be University), Thanjavur-613403, Tamilnadu.3Department of Mathematics, Vel Tech Rangarajan Dr.sagunthala R&amp4d Institute of Science and Technology (Deemed to Be University), Avadi, Chennai-600062, India.

* Corresponding Author: S. Saravanakumar. Email:

Annals of Communications in Mathematics 2021, 4 (2), 172-179. https://doi.org/10.62072/acm.2021.040210

Received: 14 May 2021 |

Accepted: 31 July 2021 |

Published: 30 September 2021

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Abstract

In this paper, the concept of intuitionistic fuzzy e ∗-open and e ∗-closed sets to introduce some new types of intuitionistic fuzzy e ∗-separation axioms, intuitionistic fuzzy e ∗-Ti space (for i = 3, 4) and intuitionistic fuzzy e ∗-regular and e ∗-normal spaces are introduced, some theorems about them are investigated. Stronger forms of intuitionistic fuzzy e ∗-regular and intuitionistic fuzzy e ∗-normal spaces are introduced. Moreover, the relationships between these separation axioms and others are investigated.

Keywords

e ∗-regular space; intuitionistic fuzzy e ∗-normal space

Cite This Article

S. Saravanakumar, S. Sivasangiri.

On e*-regularity and e *-normality in intuitionistic fuzzy topological spaces.

Annals of Communications in Mathematics

2021,

4 (2):

172-179.

https://doi.org/10.62072/acm.2021.040210

Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).