A Study On Various Relations

In 2023, $\Gamma-\mathfrak{I}-$open, pre$-\Gamma-\mathfrak{I}-$open, $\Gamma_{\Gamma}-$open, and almost $\Gamma-\mathfrak{I}-$open sets were defined and their relationships with each other were searched by Yalaz and Keskin Kaymakçı in [19]. Furthermore, Devika and Thilagavathi introduced an $M^{\ast}$-open set and investigated its relationships with some special sets in topological space in [5]. In this study, we research the relevances of these sets with other some specific sets obtained by the operators $\Gamma$ and $\Psi_{\Gamma}$ in ideal topological spaces.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-02-23
DOI
https://doi.org/10.47000/tjmcs.1756370
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

A Study On Various Relations

Sena Özen Yıldırım, Ayşe Nur TUNÇ
Turkish Journal of Mathematics and Computer Science
Fuzzy and Soft Set Theory
article

A Study On Various Relations

Sena Özen Yıldırım, Ayşe Nur TUNÇ
article en

Abstract

In 2023, $\Gamma-\mathfrak{I}-$open, pre$-\Gamma-\mathfrak{I}-$open, $\Gamma_{\Gamma}-$open, and almost $\Gamma-\mathfrak{I}-$open sets were defined and their relationships with each other were searched by Yalaz and Keskin Kaymakçı in [19]. Furthermore, Devika and Thilagavathi introduced an $M^{\ast}$-open set and investigated its relationships with some special sets in topological space in [5]. In this study, we research the relevances of these sets with other some specific sets obtained by the operators $\Gamma$ and $\Psi_{\Gamma}$ in ideal topological spaces.

Turkish Journal of Mathematics and Computer ScienceVol. 18(1)
Çanakkale Onsekiz Mart Üniversitesi (TR)
Openalex Percentile: Top 52%
Fuzzy and Soft Set Theory
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