  We investigated regular black holes with fuzzy sources in three and four
dimensions. The density distributions of such fuzzy sources are inspired by
noncommutative geometry and given by Gaussian or generalized Gaussian
functions. We utilized mass functions to give a physical interpretation of the
horizon formation condition for the black holes. In particular, we investigated
three-dimensional BTZ-like black holes and four-dimensional Schwarzschild-like
black holes in detail, and found that the number of horizons is related to the
spacetime dimensions, and the existence of a void in the vicinity of the center
of the spacetime is significant, rather than noncommutativity. As an
application, we considered a three-dimensional black hole with the fuzzy disc
which is a disc-shaped region known in the context of noncommutative geometry
as a source. We also analyzed a four-dimensional black hole with a source whose
density distribution is an extension of the fuzzy disc, and investigated the
horizon formation condition for it.
