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Home Volume 20, Issue 2 Article
Research Article

SEPARATION AXIOMS AND COMPACTNESS IN FERMATEAN FUZZY SOFT TOPOLOGY

A
Archana Kumari Prasad Department of Mathematics, Swami Vivekanand Government College, Lakhnadon - 480886, Madhya Pradesh, INDIA
A
Anita Singh Banafar Department of Mathematics, Jabalpur Engineering College, Jabalpur - 482011, Madhya Pradesh, INDIA
J
Jyoti Pandey Bajpai Department of Mathematics, Jabalpur Engineering College, Jabalpur - 482011, Madhya Pradesh, INDIA
S
Samajh Singh Thakur Department of Mathematics, Jabalpur Engineering College, Jabalpur - 482011, Madhya Pradesh, INDIA
Volume 20, Issue 2 Pages 439-452 August 30, 2024 145 downloads
Article overview

Abstract

In this paper, we define and explore several properties of Fermatean fuzzy soft $T_i$, i = 0,1,2, Fermatean fuzzy soft regular, Fermatean fuzzy soft $T_3$, Fermatean fuzzy soft normal, and Fermatean fuzzy soft $T_4$ axioms using Fermatean fuzzy soft points. We also discuss some Fermatean fuzzy soft invariance properties namely Fermatean fuzzy soft topological property and Fermatean fuzzy soft hereditary property. Furthermore Fermatean fuzzy soft compactness is defined and its characterizations and preserving properties under Fermatean fuzzy soft continuous mappings are figured out.

Keywords and Phrases

Fermatean fuzzy soft setsFermatean fuzzy soft topologyFermatean fuzzy soft separation axioms and Fermatean fuzzy soft compactness.

AMS Subject Classification

54A40, 54C05, 03E72.

Reference information

How to Cite

Archana Kumari Prasad, Anita Singh Banafar, Jyoti Pandey Bajpai, Samajh Singh Thakur (2024). SEPARATION AXIOMS AND COMPACTNESS IN FERMATEAN FUZZY SOFT TOPOLOGY. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 439-452.
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