Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications

In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which isconsidered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion are studied. Moreover, we generalize the notion of fuzzy topology on fuzzy sets introduced by Kandil et al. to the setting of single valued neutrosophic sets. As applications, we establish the property of continuity in single valued neutrosophic topological space and investigate relationships among various types of single valued neutrosophic continuous mapping.