e-open Sets in N_nc-Topological Spaces

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been created by Smarandache to represent imprecise, incomplete and inconsistent information existing in the real world. A neutrosophic set is characterized by a truth value, an indeterminacy value and a falsity value. In this paper, we introduce and study a new class of N neutrosophic closed set, namely N neutrosophic e-closed and N neutrosophic e-open sets in neutrosophic topological spaces. Also we study N neutrosophic e-interior, N neutrosophic e-closure and their properties are discussed. (paper)