RGeta-Closed Sets in Topological Spaces

In this paper, a new class of sets called regular generalized eta-closed (briefly rgη-closed) sets is introduced and its propertiesare studied. The relationships among closed, alpha-closed, s-closed, η-closed, rgη-closed and their generalized closed sets are investigated. Several examples are provided to illustrate the behavior of these new class of sets.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-17
DOI
https://doi.org/10.5281/zenodo.14880792
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

RGeta-Closed Sets in Topological Spaces

Zenodo (CERN European Organization for Nuclear Research)
Fuzzy and Soft Set Theory
article

RGeta-Closed Sets in Topological Spaces

article en

Abstract

In this paper, a new class of sets called regular generalized eta-closed (briefly rgη-closed) sets is introduced and its propertiesare studied. The relationships among closed, alpha-closed, s-closed, η-closed, rgη-closed and their generalized closed sets are investigated. Several examples are provided to illustrate the behavior of these new class of sets.

Zenodo (CERN European Organization for Nuclear Research)
Aligarh Muslim University (IN)
Industry, innovation and infrastructure
Openalex Percentile: Top 49%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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RGeta-Closed Sets in Topological Spaces · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS