Interval valued neutrosophic soft multisets are the generalization of Interval valued neutro-sophic soft sets, which is a new revelation for handling incomplete and imprecise data in multiple universes. In this paper, we propose new algorithms based on accuracy function for employing weighted sum method (WSM), weighted product method (WPM) and TOPSIS method to solve a decision making problem using Interval-valued Neutrosophic Soft Multi-sets. We adopt a real world personal selection problem and solve it by applying our proposed algorithms. Additionally, we make a comparison of Interval valued neutrosophic soft multi-sets with existing sets to illustrate the importance of Interval valued neutrosophic soft multi-sets. Furthermore, we compare and analyze the results obtained by WSM, WPM and TOPSIS.