  We propose a model with flavor dependent gauged symmetries of $\displaystyle
\prod_{i=1}^3 U(1)_{B_i-L_i}$ with $i$ the family indices. After formulating
the renormalizable Yukawa Lagrangian, Higgs potential and kinetic term, we
study the lepton sector based on a successful two-zero texture without
introducing extra scalar bosons to avoid the dangerous Goldstone bosons. In
particular, we discuss the muon related phenomenologies via additional neutral
gauge bosons. In our numerical analysis, we explore the allowed parameter
space, in which the anomaly of $B \to K^* \bar \mu \mu$ can be explained.
