  Choice revision is a sort of non-prioritized multiple revision, in which the
agent partially accepts the new information represented by a set of sentences.
We investigate the construction of choice revision based on a new approach to
belief change called descriptor revision. We prove that each of two variants of
choice revision based on such construction is axiomatically characterized with
a set of plausible postulates, assuming that the object language is finite.
Furthermore, we introduce an alternative modelling for choice revision, which
is based on a type of relation on sets of sentences, named multiple
believability relation. We show without assuming a finite language that choice
revision constructed from such relations is axiomatically characterized with
the same sets of postulates proposed for the choice revision based on
descriptor revision, whenever the relations satisfy certain rationality
conditions.
