In this study, we first define the concept of neutrosophic beta-open set. Then, using this new set definition, we present neutrosophic beta-compact and neutrosophic beta-closed spaces and examine their properties. Also, we classify these spaces using the concept of neutrosophic filterbase, which is introduced for the first time in this study. And, relationships between these different types and forms of compactness are investigated.
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Esenbel et al. (2024) studied this question.
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