Generalized closed sets in hereditary m-spaces with gamma-operations

Let (X,m, H) be a hereditary m-space and : m -----> P(X) be an operation on m. In this paper, a subset A of X is said to be H g-closed if Cl(A) \ U in H whenever A \ U and U is m-open. We obtain some characterizations and properties of H g-closed and H g-open sets.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-22
DOI
https://doi.org/10.5269/bspm.69691
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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0.00
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article

Generalized closed sets in hereditary m-spaces with gamma-operations

Ahmad Al-Omari, Takashi Noiri
Boletim da Sociedade Paranaense de Matemática
Fuzzy and Soft Set Theory
article

Generalized closed sets in hereditary m-spaces with gamma-operations

Ahmad Al-Omari, Takashi Noiri
article en

Abstract

Let (X,m, H) be a hereditary m-space and : m -----> P(X) be an operation on m. In this paper, a subset A of X is said to be H g-closed if Cl(A) \ U in H whenever A \ U and U is m-open. We obtain some characterizations and properties of H g-closed and H g-open sets.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Al al-Bayt University (JO)
Openalex Percentile: Top 81%
Fuzzy and Soft Set Theory
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Generalized closed sets in hereditary m-spaces with gamma-operations — Ahmad Al-Omari, Takashi Noiri · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS