  In this paper, we study the critical behaviors in the non-Hermtian disorder
Aubry-Andr\'{e} (DAA) model, and we assume the non-Hermiticity is introduced by
the nonreciprocal hopping. We employ the localization length $\xi$, the inverse
participation ratio ($\rm IPR$), and the real part of the energy gap between
the first excited state and the ground state $\Delta E$ as the character
quantities to describe the critical properties of the localization transition.
By preforming the scaling analysis, the critical exponents of the non-Hermitian
Anderson model and the non-Hermitian DAA model are obtained, and these critical
exponents are different from their Hermitian counterparts, indicating the
Hermitian and non-Hermitian Anderson and DAA models belong to different
universe classes. The critical exponents of non-Hermitian DAA model are
remarkably different from both the pure non-Hermitian AA model and the
non-Hermitian Anderson model, showing that disorder is a independent relevant
direction at the non-Hermitian AA model critical point. We further propose a
hybrid scaling theory to describe the critical behavior in the overlapping
critical region constituted by the critical regions of non-Hermitian DAA model
and the non-Hermitian Anderson localziation.
