Is there a notation similar to $\times$ for an operator that produces set pairs instead of ordered pairs?

Question

Let $A = \{a,b,c\}$. We can use the $\times$ operator to produce:

$A \times A = \{(a,a),(a,b),(a,c),(b,a),(b,b),(b,c),(c,a),(c,b),(c,c)\}$.

is there a simple operator similar to $\times$ that produces:

$A * A = \{\{a,a\},\{a,b\},\{a,c\},\{b,b\},\{b,c\},\{c,c\}\}$?