Neutrosophic Vague Binary Sets

Abstract

Vague sets and neutrosophic sets play an inevitable role in the developing scenario of mathematical world. In this modern era of artificial intelligence most of the real life situations are found to be immersed with unclear data. Even the newly developed concepts are found to fail with such problems. So new sets like Plithogenic and new combinations like neutrosophic vague arose. Classical set theory dealt with single universe and can be studied by 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.