  We use three IR cutoffs, including the future event horizon, the Hubble and
Granda-Oliveros (GO) cutoffs, to construct three holographic models of dark
energy. Additionally, we consider a Friedmann-Robertson-Walker (FRW) universe
filled by a dark matter (DM) and a dark energy that interact with each other
through a mutual sign-changeable interaction. Thereinafter, we address the
evolution of the some cosmological parameters, such as the equation of state
and dimensionless density parameters of dark energy as well as the deceleration
parameter, during the cosmic evolution from the matter dominated era until the
late time acceleration. We observe that a holographic dark energy (HDE) model
with Hubble cutoff interacting with DM may be in line with the current
universe. Our study shows that models with the future event horizon as the IR
cutoff or the GO cutoff are in good agreement with the observational data. In
fact, we find out that these obtained models can predict the universe
transition from a deceleration phase to the acceleration one in a compatible
way with observations. The three obtained models may also allow the equation of
state parameter to cross the phantom line, a result which depends on the values
of the system's constants such as the value of the interaction coupling
constant.

General Relativity and Quantum Cosmology