Generalization of ∆-Closed Sets in Ideal Spaces

In the paper, we introduce gD∗-closed sets and gD-closed sets using ideal spaces, and some of the properties and characterizations are discussed. Further, the relationships among some of the existing generalizations are investigated with the closed sets. Every Ig-closed set is gD∗-closed is proved in general and some results are investigated.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-05-08
DOI
https://doi.org/10.28924/2291-8639-23-2025-107
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Generalization of ∆-Closed Sets in Ideal Spaces

Alphymol Varghese, R. Ramesh, Yasser Farhat
International Journal of Analysis and Applications
Fuzzy and Soft Set Theory
article

Generalization of ∆-Closed Sets in Ideal Spaces

Alphymol Varghese, R. Ramesh, Yasser Farhat
article en

Abstract

In the paper, we introduce gD∗-closed sets and gD-closed sets using ideal spaces, and some of the properties and characterizations are discussed. Further, the relationships among some of the existing generalizations are investigated with the closed sets. Every Ig-closed set is gD∗-closed is proved in general and some results are investigated.

International Journal of Analysis and ApplicationsVol. 23
Openalex Percentile: Top 89%
Fuzzy and Soft Set Theory
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Generalization of ∆-Closed Sets in Ideal Spaces — Alphymol Varghese, R. Ramesh, et al. · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS