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The neutrosophic set is an imprecise set to deal the concepts of uncertainty, vagueness and irregularity, which consists of three independent functions called truth-membership, indeterminacy-membership and falsity-membership. This set is a generalization of Atanassov’s intuitionistic fuzzy sets. The neutrosophic supra topological space is a set together with neutrosophic supra topology. The intension of this paper is to develop the concept of -neutrosophic supra topological spaces. We further investigate the closure and interior operators in -neutrosophic supra topological spaces. Moreover, some weak form of -neutrosophic supra topological open sets are defined and establish their relations with suitable examples.