  Quantum resource theories provide a new perspective and method for the
development and application of science. Imaginary numbers are used to describe
and solve many complex problems. Therefore imaginarity resource theory proposed
recently has become increasingly important and it is worthy of research. In
this paper, we find two imaginarity measures, one of which is induced by
$\alpha$--$z$--R\'enyi relative entropy and the other defined for positive
definite density matrices is induced by Tsallis relative operator entropy. The
relationships between different imaginarity measures and their properties are
also discussed.
