  We adopt in this thesis a new approach by assuming a set of $H$-charges that
give rise to a self-consistent model of $R$-parity breaking and baryon-number
violation. As a consequence of our $H$-charge assignments, it is not possible
to generate a Majorana mass term for left-handed neutrinos. However, a neutrino
Dirac matrix can be built after the introduction of right-handed neutrinos with
proper $H$-charges. We also show that by adding a second flavon field with
fractional charge, it is possible to build a Majorana neutrino mass matrix. In
both cases an anarchical matrix. The consequences for collider physics are
mentioned. We will generalize the mechanism of obtain $R$--parity from an
horizontal symmetry to the context of $SU(5)$ SUSY $+ \widehat{N}$, and
computable group theoretical coefficients that, at leading order, determine the
structure of the neutrino mass matrix in a parameter independent way.
