  In this paper, using Hamilton-Jacobi method, we discuss the tunnelling of
fermions when the dual influence of quantum gravity and the deformation of a
parameterized black hole is taken into account. With the influence of the
generalized uncertainty principle, there exists an offset around the standard
Hawking temperature. We investigate a parametric deformed black hole and find
that the corrected temperature is lower than the standard one,so there exists
remnant of the black hole and the correction is not only determined by the mass
of the emitted fermion,but also determined by the mass of the black hole and
the deformation parameter.Under the dual influence of quantum gravity and
deformation,the correction effect of quantum gravity is the main influencing
factor, while the correction effect of deformation parameter is secondary. The
quantum gravitational correction factor is only determined by the mass of the
emitted fermions, while the deformation correction factor is only determined by
the mass of the black hole.
