In this paper, we built bitopological space on the concept of neutrosophic soft set, defined basic topological concepts spaces which are N3-(bi)*-open N3-(bi)*-closed (bi)*-neutrosophic interior, (bi)* closure, boundary, exterior and introduced their properties. addition, investigated relations these with counterparts in many examples.

In this paper, we introduce soft complete continuity as a strong form of and continuity. Several characterizations, compositions, restriction theorems are obtained. Moreover, several preservation regarding compactness, Lindelofness, connectedness, regularity, normality, almost mild near paracompactness, metacompactness addition to these, the study deals with correlation between our new concepts...

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...