  In this paper, we study the Cauchy problem for the inhomogeneous biharmonic
nonlinear Schr\"{o}dinger (IBNLS) equation \[iu_{t} +\Delta^{2} u=\lambda
|x|^{-b}|u|^{\sigma}u,~u(0)=u_{0} \in H^{s} (\mathbb R^{d}),\] where $d\in
\mathbb N$, $s\ge 0$, $0<b<4$, $\sigma>0$ and $\lambda \in \mathbb R$. Under
some regularity assumption for the nonlinear term, we prove that the IBNLS
equation is locally well-posed in $H^{s}(\mathbb R^{d})$ if $d\in \mathbb N$,
$0\le s <\min \{2+\frac{d}{2},\frac{3}{2}d\}$,
$0<b<\min\{4,d,\frac{3}{2}d-s,\frac{d}{2}+2-s\}$ and $0<\sigma< \sigma_{c}(s)$.
Here $\sigma_{c}(s)=\frac{8-2b}{d-2s}$ if $s<\frac{d}{2}$, and
$\sigma_{c}(s)=\infty$ if $s\ge \frac{d}{2}$. Our local well-posedness result
improves the ones of Guzm\'{a}n-Pastor [Nonlinear Anal. Real World Appl. 56
(2020) 103174] and Liu-Zhang [J. Differential Equations 296 (2021) 335-368] by
extending the validity of $s$ and $b$.
