  Within the two-orbital model for BiS$_{2}$-based superconductors, the effect
from a single nonmagnetic impurity scattering on the superconducting-state is
investigated in terms of the T-matrix approach. By considering three kinds of
the typical Fermi surface topology which characterize the essential features of
the doping dependence of the electronic structure in BiS$_{2}$-based
superconductors, it is found that the impurity scattering on the
superconducting-state with the conventional $s$-wave, the extended $s$-wave,
the $\pm s$-wave, and the $d_{x^{2}-y^{2}}$-wave symmetries induces
\textit{qualitatively} different resonance states due to the evolution of
unique nodal structures on the Fermi surface with doping. These
impurity-induced resonance states can be verified directly by the scanning
tunneling microscopy experiments, and therefore they are proposed as a probe of
the superconducting pairing symmetry in BiS$_{2}$-based superconductors.
