  Using the approach based on the Bogoliubov inequality for free energy, we
have studied the magnetic properties of the spin-3/2 Blume-Capel quantum model
in the presence of the random transverse single-ion anisotropy (RTSIA). By
analyzis of the phase diagrams in $\tau \times \varphi_{x} $, $m \times
\varphi_{x}$ and $m \times \tau$ plans, we have obtained information about how
the presence of anisotropy affects the properties of the system. We have shown
that the RTSIA is responsible for changing the topology of the phase diagrams,
compared to the pure model, leading to the appearance tricritical point (TCP).
