Quasitransitive relation
= Quasitransitive relation
{wiki=Quasitransitive_relation}
A **quasitransitive relation** is a type of binary relation that generalizes the concept of transitivity. A binary relation \\( R \\) on a set \\( A \\) is called quasitransitive if it satisfies the following property: For all \\( x, y, z \\in A \\): - If \\( x R y \\) and \\( x R z \\), then \\( y R z \\) or \\( z R y \\) holds.