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Neutrosophic Sets and Systems

Abstract

In this paper, the concept of neutrosophic connectedness between neutrosophic sets in neutrosophic topological spaces has been introduced. It is shown that a neutrosophic topological space is neutrosophic connected if and only if it is neutrosophic connected between every pair of its nonempty neutrosophic sets. Further, a new class of mappings called neutrosophic set connected mappings has been defined. It is shown that the class of all neutrosophic continuous mappings is a subclass all neutrosophic set-connected mappings. Several properties and characterizations of neutrosophic set-connected mappings in neutrosophic topological spaces have been studied.

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