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e⋆-connectedness 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, India.3Department of Mathematics, M.kumarasamy College of Engineering (Autonomous) Karur, Tamilnadu -639 113, India.

* Corresponding Author: G. Saravanakumar. Email:

Annals of Communications in Mathematics 2021, 4 (1), 26-34. https://doi.org/10.62072/acm.2021.040104

Received: 21 January 2021 |

Accepted: 8 March 2021 |

Published: 31 March 2021

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Abstract

In this paper the concept of types of intuitionistic fuzzy e⋆-connected and intuitionistic fuzzy e⋆-extremally disconnected in intuitionistic fuzzy topological spaces are introduced and studied. Here we introduce the concepts of intuitionistic fuzzy e⋆C5-connectedness, intuitionistic fuzzy e⋆CS-connectedness, intuitionistic fuzzy e⋆CM-connectedness, intuitionistic fuzzy e⋆-strongly connectedness, intuitionistic fuzzy e⋆-super connectedness, intuitionistic fuzzy e⋆Ci-connectedness (i = 1, 2, 3, 4), and obtain several properties and some characterizations concerning connectedness in these spaces.

Keywords

IF e⋆-connected; IF e⋆-extremally disconnected; IF e⋆-strongly connected; IF e⋆C5-connected; IF e⋆CM-disconnected

Cite This Article

S. Sivasangiri, R. Balakumar, G. Saravanakumar.

e⋆-connectedness in intuitionistic fuzzy topological spaces.

Annals of Communications in Mathematics

2021,

4 (1):

26-34.

https://doi.org/10.62072/acm.2021.040104

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