\par Motivated by an ingenious idea of Emilia Przemska on a unified treatment of open- and closed-like sets, we shall introduce and investigate here four reasonable notions of product relations for super relations.
\par In particular, for any two super relations $U$ and $V$ on $X$, we define two super relations $U* V$ and $U* V$, and two hyper relations $U\pmb{\pmb{*}} V$ and $U\divideontimes V$ on $X$ such that :
\begin{align*} ( U* V ) (A) & = ( A\cup U (A) )\cap V (A), \\[1ex] ( U* V ) (A) & = ( A\cap V (A) )\cup U (A) \end{align*}
and
\begin{align*} ( U\pmb{\pmb{*}} V ) (A) & = \{B\subseteq X: (U* V ) (A)\subseteq B\subseteq (U* V ) (A) \}, \\[1ex] ( U\divideontimes V ) (A) & = \{B\subseteq X: ( U\cap V ) (A)\subseteq B\subseteq ( U\cup V ) (A) \} \end{align*}
\noindent for all $A\subseteq X$.
\par By using the distributivity of the operation $\cap$ over $\cup$, we can at once see that $U* V\subseteq U* V$. Moreover, if $U\subseteq V$, then we can also see that $U* V=U* V$. The most simple case is when $U$ is an interior relation on $X$ and $V$ is the associated closure relation defined such that $V (A)= U ( A\0c)\0c$ for all $A\subseteq X$.