  In this paper, by applying the deformed dispersion relation in quantum
gravity theory, we study the correction of fermions' tunneling radiation from
non-stationary symmetric black holes. Firstly, the motion equation of fermions
is modified in the gravitational spacetime. Based on the motion equation, the
modified Hamilton-Jacobi equation has been obtained by a semiclassical
approximation method. Then, the tunneling behavior of fermions at the event
horizon of non-stationary symmetric Kerr black hole is investigated. Finally,
the results show that in the non-stationary symmetric background, the
correction of Hawking temperature and the tunneling rate are closely related to
the angular parameters of the horizon of the black hole background.
