Abstract
AbstractIndeterminacy, 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.
Publisher
Springer Science and Business Media LLC