Preorder \Pre*or"der\, v. t. To order to arrange beforehand; to foreordain. --Sir W. Hamilton. [1913 Webster]
pre-order 1. <graph theory> {traversal}. 2. <theory> A {relation} R is a pre-order if it is {reflexive} (x R x) and {transitive} (x R y R z => x R z). If it is also {antisymmetric} (x R y R x => x = y) then it is a {partial ordering}. (2001-10-01)