Quasi-order is not defined uniformly

In the literature, some authors define “quasi order” as transitive and reflexive, others define it as transitive and irreflexive.

No such discrepancy seems to exist in using “preorder” for the former (transitive and reflexive) and “strict partial order” for the latter (transitive and irreflexive).

It seems wise to use only the unambiguous terminology, and start any text where the term “quasi order” is felt with a proper warning.

Just for completeness: a partial order is transitive, reflexive and antisymmetric.

Title	Quasi-order is not defined uniformly
Canonical name	QuasiorderIsNotDefinedUniformly
Date of creation	2013-03-22 15:35:18
Last modified on	2013-03-22 15:35:18
Owner	boute (11676)
Last modified by	boute (11676)
Numerical id	5
Author	boute (11676)
Entry type	Definition
Classification	msc 06A99