Abstract

In this paper, we introducing fuzzy neutrosophic supra first countable (FNS - FCS), fuzzy neutrosophic supra second countable (FNS- SCS) and fuzzy neutrosophic supra compactness (FNS- compactness), fuzzy neutrosophic supra Qμ - compactness (FNS - Qμ - compactness) in fuzzy neutrosophic supra topological space (FNSTS). we derive the union of two FNS – compact spaces is also FNS – compact space and similarly the union of two FNS - Qμ - compact spaces is also FNS Qμ - compact space. Also we define some theorems using finite intersection property and productive property. Finally we observe that our notions preserve under one – one, onto and continuous mapping.

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