Abstract
In this article, new generalized neutrosophic soft * b open set is introduced in neutrosophic soft bi-topological structurers (NSBTS) concerning soft points of the space. This new set is produced by making the marriage of soft semi-open set with soft pre-open set in neutrosophic soft topological structure. An ample of results are investigated in NSBTS on the basis of this new neutrosophic soft * b open set. Proper examples are settled for justification of these results. The non-validity of some results is vindicated with examples.
Highlights
Fuzzy set theory [1] is the most importantly effective way to deal with vagueness and incomplete data and it is being developed and used in various fields of science
Neutrosophic soft topology is dominant over vague soft topology because it supposes all the information that is true, false and indeterminacy at the same time
Neutrosophic soft topology has a narrow domain as compared to neutrosophic soft bi-topology (NSBT)
Summary
Fuzzy set theory [1] is the most importantly effective way to deal with vagueness and incomplete data and it is being developed and used in various fields of science. Bera et al [13] opened the door to a new world of mathematics and inaugurated the conception of new structure (neutrosophic soft topology) on the basis of neutrosophic soft set (NSS). He discussed all the fundamentals in polite way and on the basis of these fundamentals he moved to the fundamentals results and for better understanding suitable examples were put forwarded. The authors introduced pair-wise neutrosophic soft (closed) sets in NSBTS These references [13–19] became source of motivation for my new research.
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