In recent years, hesitant fuzzy sets and neutro-sophic sets have aroused the interest of researchers and have been widely applied to multi-criteria decision-making problems. The operations of multi-valued neutro-sophic sets are introduced and a comparison method is developed based on related research of hesitant fuzzy sets and intuitionistic fuzzy sets in this paper. Furthermore, some multi-valued neutrosophic number aggregation operators are proposed and the desirable properties are discussed

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... s well. Finally, an approach for multi-criteria decision making problems was explored applying the ag-gregation operators. In addition, an example was provided to illustrate the concrete application of the proposed method.