In this paper, we obtained the following switching equivalence characterizations: $N(\Sigma)\thicksim CMD(\Sigma)$, $CMD(\Sigma)\thicksim MD(\Sigma)$ and $MD(\Sigma)\thicksim L(\overline{\Sigma})$, where $N(\Sigma)$, $CMD(\Sigma)$, $MD(\Sigma)$ and $L(\overline{\Sigma})$ are neighborhood signed graph, common minimal signed graph, minimal dominating signed graph and line signed graph of complementary signed graph of $\Sigma$ respectively.