preorder

(redirected from Quasiorder)
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preorder

(priːˈɔːdə)
vb (tr)
(Commerce) to order something in advance of it being available
Translations
References in periodicals archive ?
On classes of ordered algebras and quasiorder distributivity.
The IVF soft J-inclusion [[??].sub.j] is a quasiorder on [S.sup.I](U, E).
Therefore, the IVF soft J-inclusion [[??].sub.J] is a quasiorder on [S.sup.I] (U, E).
The IVF soft L-inclusion [[??].sub.L] is a quasiorder on [S.sup.I](U, E).
Since the IVF soft J-inclusion C; is a quasiorder on [S.sup.I](U, E), we deduce that
However, it can be found that only distributive inequalities (described by the IVF soft L-inclusion [[??].sub.L], which is a quasiorder on [S.sup.I] (U, E)) hold for IVF soft sets.
Definition 7 (Ideal) Let [??] be a quasiorder in AC.
The hierarchies were later refined by Pin [14] by introducing intermediate (half) levels whose syntactic characterization depends on a stable quasiorder rather than just a congruence.
In this paper the key notion is stable quasiorder in monoids.
a subset of M x M, is a quasiorder if and only if it is reflexive and transitive.
If R is a stable reflexive relation on a monoid M then the transitive closure [R.sup.*] is a stable quasiorder on M.
We recall the concept of syntactic quasiorder, which was introduced by Pin under the name syntactic order (see e.g.