Fuzzyfication of new open set types

In this study, we introduce fuzzy AF-open sets in a fuzzy topological space (X, ?). Some properties and characterizations of the fuzzy AF-open set are studied. Also we investigate and research the notions of fuzzy AF-interior and fuzzy AF-cluster points in a fuzzy topological space. Further fuzzy AF-compactness is defined. Its properties and characterizations are examined.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2501131a
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Fuzzyfication of new open set types

Ahu Açıkgöz
Filomat
Fuzzy and Soft Set Theory
article

Fuzzyfication of new open set types

Ahu Açıkgöz
article en

Abstract

In this study, we introduce fuzzy AF-open sets in a fuzzy topological space (X, ?). Some properties and characterizations of the fuzzy AF-open set are studied. Also we investigate and research the notions of fuzzy AF-interior and fuzzy AF-cluster points in a fuzzy topological space. Further fuzzy AF-compactness is defined. Its properties and characterizations are examined.

FilomatVol. 39(1)
Balıkesir University (TR)
Openalex Percentile: Top 77%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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Fuzzyfication of new open set types — Ahu Açıkgöz · Filomat (2025) | TGRS Research Map | TGRS