Sahand Communications in Mathematical Analysis

Dense Fuzzy Sets in Fuzzy Topological Spaces and Separability

Articles in Press

Document Type : Research Paper

Authors

Jyothis K Mohan 1
Sheeja Thekkumkattil Kunjunair 2

1 Department of Mathematics, Maharaja's College, Ernakulam, Affiliated to M. G. University, Kottayam, India.

2 Department of Mathematics, T.M. Jacob Memorial Govt. College, Manimalakunnu, Ernakulam, India.

https://doi.org/10.22130/scma.2025.2052855.2052
Abstract
Dense fuzzy sets play an inevitable role in exploring various aspects of fuzzy topological spaces. The present paper aims at investigating the properties of dense fuzzy sets in different fuzzy topological spaces. Several characterization theorems and other novel results are obtained by means of dense fuzzy sets in specific contexts as well as in general settings. The relationship between quasi-coincidence of fuzzy sets and denseness property is also analyzed. Additionally, the concepts of separability, $Q$-separability, $\beta$-separability and $Q$-$\beta$-separability are examined.

Keywords

Fuzzy topology
Dense fuzzy set
Fuzzy Separability
$\beta$-dense fuzzy set
$\beta$-separability

Subjects

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Sahand Communications in Mathematical Analysis

Articles in Press, Accepted Manuscript
Available Online from 28 January 2026

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