  In this paper, we construct the Heisenberg-Virasoro algebra in the framework
of the $\mathcal{R}(p,q)$-deformed quantum algebras. Moreover, the
$\mathcal{R}(p,q)$-Heisenberg-Witt $n$-algebras is also investigated.
Furthermore, we generalize the notion of the elliptic hermitian matrix models.
We use the constraints to evaluate the $\mathcal{R}(p,q)$-differential
operators of the Virasoro algebra and generalize it to higher order
differential operators. Particular cases corresponding to quantum algebras
existing in literature are deduced.
