Separation axioms on fuzzy neutrosophic bitopological spaces using fuzzy neutrosophic open sets

Indeterminacy, non-membership and membership, have been studied in a neutrosophic set (NS). Using the notion of NS, neutrosophic topological space (NTS) and neutrosophic bitopological spaces have been developed. The well-known properties (separation axioms) of neutrosophic \({\text{T}}_{i}\) ${\text{T}}_i$ -topological and bitopological spaces \((i=0, 1, 2)\) $(i=0,1,2)$ are different types of neutrosophic spaces with different characteristics. Here, we define the idea of fuzzy neutrosophic \({\text{T}}_{i}\) ${\text{T}}_i$ -bitopological space \((i=0, 1, 2)\) $(i=0,1,2)$ through the neutrosophic bitopological space and look into its various characteristics. From neutrosophic \({\text{T}}_{i}\) ${\text{T}}_i$ -bitopological space ( \(i=0, 1, 2\) $i=0,1,2$ ), we demonstrate some intriguing findings with examples about the neutrosophic separation axioms.