In this paper, we introduce a distance measure on single-valued neutrosophic sets by sine function which is a generalization of intuitionistic fuzzy sine distance measure. The axiom of metric on single-valued neutrosophic sets is verified and shows that the difference of distance measure from unity is a similarity measure. A new methodology for 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 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 for the final decision chosen from the most common decisions of them.

本文介绍了一种基于正弦函数的单值中智集距离测度，它是直觉模糊正弦距离测度的推广。验证了单值中智集合上的度量公理，并表明距离测度与统一的差异是一种相似性测度。一种新的多属性决策问题（MADM）方法是通过所提出的单值中智距离度量的最小度量值针对最常见的决策而开发的。我们进一步将这种距离测量应用于多属性决策问题（MADM），以在中智环境中确定学生的职业，从而为合适的学生找到最佳职业。最后，将所提出的距离度量与其他距离度量进行比较，以从它们最常见的决策中选择最终决策。