New Open Sets in N-Neutrosophic Supra Topological Spaces

Abstract

The neutrosophic set is an impreciseset 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 ofAtanassov’sintuitionistic 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 supratopological spaces. We further investigate the closure and interior operators in -neutrosophic supratopological spaces. Moreover,some weak form of -neutrosophic supra topological open sets are defined and establish their relations with suitable examples.