In this paper, we introduce and study a new class of continuous functions, called Neutrosophic contra αgs-continuous functions and Neutrosophic almost contra αgs-continuous functions in Neutrosophic topological spaces are studied and their basic properties are discussed. Also, we define Neutrosophic contra αgs-irresolute functions and discussed their basic properties.

Keywords: Neutrosophic αgs-closed sets, Neutrosophic αgs-open sets, Neutrosophic αgs- continuous functions, Neutrosophic contra αgs-continuous functions, Neutrosophic almost contra αgscontinuous functions.