On some new notions and functions in neutrosophic topological spaces

In this paper, we define the notion of neutrosophic semiopen (resp. preopen and [alpha]-open) functions and investigate relation among them. We give a characterization of neutrosophic [alpha]-open set, and provide conditions for a neutrosophic set to be a neutrosophic [alpha]-open set. We discuss characterizations of neutrosophic pre-continuous (resp. [alpha]-continuous) functions. We give a condition for a function of neutrosophic topological spaces to be a neutrosophic [alpha]-continuous function. Keywords: neutrosophic [alpha]-open set; neutrosophic semiopen; neutrosophic preopen; neutrosophic pre-continuous; neutrosophic [alpha]-continuous.