In this article, we study a new types of mappings using N-neutrosophic crisp β open sets such as continuous mappings and irresolute mappings in Nneutrosophic crisp topological spaces were introduced. Also, we discussed about their properties in relation with the other continuous and irresolute mappings in N-neutrosophic crisp topological spaces. Also, we study about the concept of strongly N-neutrosophic crisp β continuous and perfectly N-neutroso
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.
The purpose of present this paper is to introduce and investigate two new classes of Nnc
-irresolute functions called completely Nnce-irresolute functions and completely weakly Nnce-irresolute functions in topological spaces by using the concept of Nnce-open sets. Several new characterizations and interesting properties concerning completely Nnce-irresolute functions and completely weakly Nnce-irresolute functions are obtained. Furthermore the relationships between these functions and some other well-known types of functions are also given.
A new class of mapping functions called Nnce-continuous map, somewhat Nnce-continuous map, somewhat Nnce-open maps has been established and defined by making use of Nnce-open sets. Some Characterizations and properties of Nnce-continuous mappings and somewhat Nnce-continuous mapping functions are presented.
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