Neutrosophic Soft Structures

Abstract

In paper, neutrosophic soft points with the concept of one point greater than the other and their properties, generalized neutrosophic soft open set known as soft b-open set, neutrosophic soft separation axioms theoretically with support of suitable examples with respect to soft points, neutrosophic soft 𝑏0 -space engagement with generalized neutrosophic soft closed set, neutrosophic soft 𝑏2 -space engagement with generalized neutrosophic soft open set are addressed. In continuation, neutrosophic soft 𝑏0 -space behave as neutrosophic soft 𝑏2 -space with the plantation of some extra condition on soft 𝑏0 -space, neutrosophic soft 𝑏3 -space and related theorems, neutrosophic soft 𝑏4 - space, monotonous behavior of neutrosophic soft function with connection of different neutrosophic soft separation axioms, monotonous behavior of neutrosophic soft function with connection of different neutrosophic soft close sets are reflected. Secondly, long touched has been given to neutrosophic soft countability connection with bases and sub-bases, neutrosophic soft product spaces and its engagement through different generalized neutrosophic soft open set and close sets, neutrosophic soft coordinate spaces and its engagement through different generalized neutrosophic soft open set and close sets, Finally, neutrosophic soft countability and its relationship with Bolzano Weirstrass Property through engagement of compactness, neutrosophic soft strongly spaces and its related theorems, neutrosophic soft sequences and its relation with neutrosophic soft compactness, neutrosophic soft Lindelof space and related theorems are supposed to address.

Keywords

• s neutrosophic soft set (𝑁𝑆𝑆)
• neutrosophic soft point
• neutrosophic soft b-open set and neutrosophic 𝑏-separation axioms.