SEPARATION AXIOMS AND COMPACTNESS IN FERMATEAN FUZZY SOFT TOPOLOGY

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.

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Publication Details

Journal
South East Asian J of Mathematics and Mathematical Sciences
Published
2024-08-30
DOI
https://doi.org/10.56827/seajmms.2024.2002.31
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

SEPARATION AXIOMS AND COMPACTNESS IN FERMATEAN FUZZY SOFT TOPOLOGY

S. S. Thakur, Archana Kumari Prasad, Jyoti Pandey Bajpai, Anita Singh Banafar
South East Asian J of Mathematics and Mathematical Sciences
Fuzzy and Soft Set Theory
article

SEPARATION AXIOMS AND COMPACTNESS IN FERMATEAN FUZZY SOFT TOPOLOGY

S. S. Thakur, Archana Kumari Prasad, Jyoti Pandey Bajpai, Anita Singh Banafar
article en

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.

South East Asian J of Mathematics and Mathematical SciencesVol. 20(02)
Openalex Percentile: Top 69%
Fuzzy and Soft Set Theory
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