  We propose a one-loop radiative Majorana-type neutrino-mass matrix without
any kind of additional symmetries by introducing two leptoquark-like bosons
only. In this scenario, we show that the anomaly appearing in the process $b\to
s\ell\bar\ell$ can be explained without any conflicts against various
constraints such as lepton-flavor violations, flavor-changing neutral currents,
oblique parameters $\Delta S,\ \Delta T$, and the Drell-Yan process. We make
the predictions for the flavor-violating lepton-pair production ($e\mu$,
$e\tau$, and $\mu\tau$) at the LHC, as well as the cross sections for pair
production of these leptoquark-like bosons.
