Neutrosophic Vague Topological Spaces

The term topology was introduced by Johann Beredict Listing in the 19th century. Closed
sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and
topological spaces and we construct and develop a new concept namely “neutrosophic vague
topological spaces”. By using the fundamental definition and necessary example we have defined the
neutrosophic vague topological spaces and have also discussed some of its properties. Also we have
defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic
vague topological spaces and their properties are deliberated.