Neutrosophic Vague Binary Sets

Abstract

ague sets and neutrosophic sets play an inevitable role in the developing scenario of mathematicalworld. In this modern era of artificial intelligencemost of the real life situationsare found to be immersed with unclear data. Even the newly developed concepts arefound to fail with such problems. Sonewsets like Plithogenic and new combinationslike neutrosophic vaguearose.Classical set theory dealt with single universe and can be studiedby taking it’s subsets. Situations demand two universes instead of a unique one in certain problems. In this paper two universes are introduced simultaneously and under consideration in a neutrosophic vague environment.It’s basic operations, topology and continuity are also discussed with examples.A real life example is also discussed.