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Introduction of Neutrosophic sets and Neutrosophic numbers paves a way to handle uncertainty more effectively. In this paper we propose a new approach for ranking neutrosophic number by using its magnitude. We develop an algorithm for the solution of neutrosophic assignment problems involving pentagonal neutrosophic number. The proposed method is easy to understand and to apply for finding solution of neutrosophic assignment problems occurring in real life situations. To show the proposed strategy numerical models are given and the acquired results are analyzed.