  We extend the Kamada-Miyazawa polynomial to virtual singular links, which is
valued in $\mathbb{Z}[A^2, A^{-2}, h]$. The decomposition of the resulting
polynomial into two components, one in $\mathbb{Z}[A^2, A^{-2}]$ and the other
in $\mathbb{Z}[A^2, A^{-2}]h$ yields the decomposition of the Kauffman-Jones
polynomial of virtual singular links into two components, one in
$\mathbb{Z}[A^2, A^{-2}]$ and the other in $\mathbb{Z}[A^2, A^{-2}]A^2$, where
both components are invariants for virtual singular links.
