  Let $\mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of
$G$ is said to be weakly $\mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an
$S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and
$(H\cap T)H_{G}/H_{G}\leq Z_{\mathfrak{F}}(G/H_{G})$, where
$Z_{\mathfrak{F}}(G/H_{G})$ denotes the $\mathfrak{F}$-hypercenter of
$G/H_{G}$. In this paper, we study the structure of finite groups by using the
concept of weakly $\mathfrak{F}_{s}$-quasinormal subgroups.
