Abstract
In this article, a new concept of neutrosophic soft quad-topological structures is introduced. Generalised neutrosophic soft ∗ b open sets in neutrosophic soft quad-topological structures concerning soft points of the space are introduced. Different results are addressed in neutrosophic soft quad-topological structure on the basis of these new neutrosophic soft ∗ b open sets. Neutrosophic soft separation axioms and other separation axioms are addressed in neutrosophic soft quad-topological structures. The engagement of these axioms is switched over with different results with respect to soft points. Neutrosophic soft topological properties of some results are also addressed in neutrosophic soft quad-topological structure. To secure the results, examples are constructed. The nonvalidity of some results are justified with examples. The understanding of some complicated problems is secured with simple techniques.
Highlights
Zadeh [1] introduced fuzzy set theory
Neutrosophic soft topology (NST) is dominant over vague soft topology (VST) because it supposes all the three informations that is true, false, and indeterminacy at the same time
Some problems are very hard to discuss in NST, so need of neutrosophic soft bitopology (NSBT) is felt
Summary
Zadeh [1] introduced fuzzy set theory. It addresses vagueness and incomplete data used in various fields of science. Ozturk in [14] introduced new concepts in neutrosophic soft topological spaces. Ey defined new separation axioms in neutrosophic soft topological spaces with respect to soft points. On the basis of these new operations, the author defined neutrosophic soft topological space. New concepts of neutrosophic soft quad-topological spaces are addressed with examples. Union and intersection are studied in neutrosophic soft quad-topological spaces. Ese definitions became source of generation of different neutrosophical soft separation axioms and neutrosophical soft other separation axioms in neutrosophic soft quad topological spaces with respect to soft points of the second space. Some neutrosophical soft topological properties of Hausdorff space are addressed with respect to soft points.
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