  In this article we apply the holographic principle for describing in a
unifying way the early and the late-time universe, when the general equation of
state contains a bulk viscosity. We use the idea of a generalized cut-off
holographic dark energy introduced by Nojiri and Odintsov (2006,2017), and
study the evolution of the universe when the equation of state has two
power-law asymptotes. Analytical expressions for the infrared cut-offs in terms
of the particle horizon are obtained. The energy conservation laws as derived
from the holographic point of view, are given for various forms of the
thermodynamic parameters and for various forms of the bulk viscosity. As a
result, we obtain a unifying description of the early and the late-time
universe in the presence of a viscous holographic fluid.
