We introduce the concept of uniform weighted density (upper and lower) of a subset $A$ of ${\mathbb{N}}^{*}$, with respect to a given sequence of weights $\left(a_n\right)$. This concept generalizes the classical notion of uniform density (for which the weights are all equal to 1). We also prove a theorem of comparison between two weighted densities (having different sequences of weights) and a theorem of comparison between a weighted uniform density and a weighted density in the classical sense. As a consequence, new bounds for the...