ConvexIVIF Sets in Interval-Valued Intuitionistic Fuzzy Topological Vector 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]