\({N} = \left( {{S},{R}} \right)\) is a Single-Valued Neutrosophic Graph (SVNG), and \(N^{\mu } = (S,\;R^{\mu } )\) is its \(\mu\) -complement. In this research study, few properties of the \(\mu\) -complement of neutrosophic graph were studied. If two neutrosophic graphs are \(\cong\) or co-weak \(\cong\) or weak \(\cong\) then the relevant morphism nature of their \(\mu\) -complements is discussed. Self \(\mu\) -complementary neutrosophic graph is introduced and a necessary condition for a neutrosophic graph to be self \(\mu\) -complementary is proved. Also, self weak \(\mu\) -complementary neutrosophic graph is introduced.