In this paper, we introduce a distance measure on single-valued neutrosophic sets which is a generalization of intuitionistic fuzzy distance measure (Dutta and Goala 2018). This distance measure satisfies the axioms of metric (George F. Simmons 1963) on single-valued neutrosophic sets and shows that the difference of distance measure from unity is a similarity measure. A new methodology on multi-attribute decision-making problems (MADM) is developed for the most common decision by the smallest measure value of the proposed single-valued neutrosophic distance measure. We further apply this distance measure to a multi-attribute decision-making problem (MADM) for student’s career determination in a neutrosophic environment to find the best career for suitable students. Finally, the comparison is made between the proposed distance measure and the other distance measures (Majumdar and Samanta 2014; Chai et al. 2021) for the final decision chosen from the most common decisions of them.
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