Some Generalized Fuzzy Separation Axioms

This article's objective is to progress the field of generalized fuzzy topological spaces, particularly generalized fuzzy T0 spaces. Various types of these spaces are introduced and examined. We investigate their hereditary, productive, and projective properties, and demonstrate that these properties are preserved under bijective generalized fuzzy continuous generalized fuzzy open mappings. Additionally, we explore these concepts in the context of initial and final generalized fuzzy topological spaces.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-02-21
DOI
https://doi.org/10.28924/2291-8639-23-2025-49
Primary Topic
Fuzzy Logic and Control Systems
Type
article
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article

Some Generalized Fuzzy Separation Axioms

O. R. Sayed, S. R. Mohamed, F. H. Khedr
International Journal of Analysis and Applications
Fuzzy Logic and Control Systems
article

Some Generalized Fuzzy Separation Axioms

O. R. Sayed, S. R. Mohamed, F. H. Khedr
article en

Abstract

This article's objective is to progress the field of generalized fuzzy topological spaces, particularly generalized fuzzy T0 spaces. Various types of these spaces are introduced and examined. We investigate their hereditary, productive, and projective properties, and demonstrate that these properties are preserved under bijective generalized fuzzy continuous generalized fuzzy open mappings. Additionally, we explore these concepts in the context of initial and final generalized fuzzy topological spaces.

International Journal of Analysis and ApplicationsVol. 23
Openalex Percentile: Top 99%
Fuzzy Logic and Control Systems
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Some Generalized Fuzzy Separation Axioms — O. R. Sayed, S. R. Mohamed, et al. · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS