Symmetric closure
= Symmetric closure
{wiki=Symmetric_closure}
The symmetric closure of a binary relation \\( R \\) on a set \\( A \\) is a way to create a new relation that is symmetric while preserving the properties of the original relation. Specifically, a relation \\( R \\) is symmetric if for any elements \\( a \\) and \\( b \\) in set \\( A \\), if \\( (a, b) \\) is in \\( R \\), then \\( (b, a) \\) is also in \\( R \\).