Fuzzy set and neutrosophic set are two efficient tools to handle the uncertainties and vagueness of any real-world problems. Neutrosophic set is more capable than fuzzy set to deal the uncertainties of a real-life problem. This research paper introduces some new concept of single-valued neutrosophic graph (SVNG). We have also presented some different operations on SVNG such as rejection, symmetric difference, maximal product, and residue product with appropriate examples, and some of their important theorems are also described. Then, we have described the concept of total degree of a neutrosophic graph with some interesting examples. We have also presented an efficient approach to solve a decision-making problem using SVNG.

模糊集合和中智集合是处理任何现实问题的不确定性和模糊性的两个有效工具。中智集比模糊集更能解决现实问题的不确定性。本研究论文介绍了单值中智图（SVNG）的一些新概念。我们还通过适当的示例介绍了对SVNG的一些不同操作，例如拒绝，对称差，最大乘积和残差乘积，并且还描述了它们的一些重要定理。然后，我们用一些有趣的例子描述了中智图的总度的概念。我们还提出了一种使用SVNG解决决策问题的有效方法。