  The unique determination of electrical conductivity is extensively studied
for isotropic conductivity ever since Calderon's suggestion of the EIT
(Electrical Impedance Tomography) problem. However, it is known that there are
many anisotropic conductivities producing the same Dirichlet-to-Neumann map;
moreover the anisotropic conductivities giving the same Dirichlet-to-Neumann
map are classified using the equivalence relation with respect to the change of
variables. The change of variable argument is applied to the theory of
near-cloaking: We are under an illusion that the domain of anomaly is of a much
smaller size than actually it is. For this paper, we considered not only the
illusion of the domain of the anomaly, but also the illusion of the property of
the anomaly when the background anisotropic conductivity is known.
