The paper deals with the embedding of an ordered semigroup into
the translational hull of its ideals which are both dense and
weakly reductive. For a semigroup or an ordered semigroup $S$,
$\Omega(S)$ denotes the set of (all) bitranslations of $S$. It is
well known that if $K$ is a dense ideal of a semigroup $S$ such
that $K$ is weakly reductive, then $S$ is isomorphic to a
subsemigroup of $\Omega (K)$. In the present paper we generalize
this result for ordered semigroups using the concept of
pseudoorder --a concept which extends the concept of congruences
of semigroups and plays an important role in studying the
structure of ordered semigroups. We prove that if $S$ is an
ordered semigroup and $K$ a weakly reductive dense ideal of $S$,
then $S$ is embedded into the ordered semigroup $\Omega(K)$ of
(all) bitranslations of $K$ (and so $S$ is isomorphic to an
(ordered) subsemigroup of the translational hull of
$K$).