  We discuss two Higgs doublet models with a softly-broken discrete
$\mathbb{S}_3$ symmery, where the mass matrix for charged-leptons is predicted
as the diagonal form in the weak eigenbasis of lepton fields. Similar to an
introduction of $\mathbb{Z}_2$ symmetry, the tree level flavor changing neutral
current can be forbidden by imposing the $\mathbb{S}_3$ symmetry to the model.
Under the $\mathbb{S}_3$ symmetry, there are four types of Yukawa interactions
depending on the $\mathbb{S}_3$ charge assignment to right-handed fermions. We
find that extra Higgs bosons can be muon and electron specific in one of four
types of the Yukawa interaction. This property does not appear in any other two
Higgs doublet models with a softly-broken ${\mathbb Z}_2$ symmetry. We discuss
the phenomenology of the muon and electron specific Higgs bosons at the Large
Hadron Collider; namely we evaluate allowed parameter regions from the current
Higgs boson search data and discovery potential of such a Higgs boson at the 14
TeV run.
