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

Abstract

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 $${\text{T}}_{i}$$ 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 $${\text{T}}_{i}$$ 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 $${\text{T}}_{i}$$ T i -bitopological space ($$i=0, 1, 2$$ i = 0 , 1 , 2 ), we demonstrate some intriguing findings with examples about the neutrosophic separation axioms.