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Neutrosophic set and Neutrosophic Topological spaces has been introduced by Salama. Neutrosophic Closed set and Neutrosophic Continuous Functions were introduced by Salama et. al.. In this paper, we introduce the concept of Nω- closed sets and their properties in Neutrosophic topological spaces.

The aim of this research work is to introduce the new concept of interval-valued intuitionistic fuzzy topological vector space(in brief IVIF-topological vector space). In this paper, the concept of IVIF-vector point, IVIF-Quasicoincidence were defined. In further, the relationship between IVIF-NQCneighbourhood, IVIF-QCneighbourhood and its bases in IVIF-topological vector space discussed. Also introduced the concept of ConvexIVIF set, Strongly ConvexIVIF set and Strictly ConvexIVIF set, in IVIF-topological vector spaces. Then it continued to the discussion about the properties and the relationship between these ConvexIVIF sets. [ABSTRACT FROM AUTHOR]