  We investigate how the bi-large mixing required by the recent neutrino data
can be accommodated in the supersymmetric standard model allowing bilinear
R-parity violation and non-universal soft terms. In this scheme, the tree-level
contribution and the so-called Grossman-Haber one-loop diagrams are two major
sources of the neutrino mass matrix. The relative size of these two
contributions falls into the right range to generate the atmospheric and solar
neutrino mass hierarchy. On the other hand, the bi-large mixing is typically
obtained by a mild tuning of input parameters to arrange a partial cancellation
among various contributions.
