Definition:Preordering/Also known as
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Preordering: Also known as
A preordering is also known as a preorder.
Either name can be seen with a hyphen: pre-ordering and pre-order.
Some sources use the term quasiorder or quasi-order.
1964: Steven A. Gaal: Point Set Topology uses the term reflexive partial ordering, but as this can so easily be confused with the concept of a partial ordering this term is not recommended.
Sources
- 1964: Steven A. Gaal: Point Set Topology ... (previous) ... (next): Introduction to Set Theory: $1$. Elementary Operations on Sets