Monotonic and Nonmonotonic Preference Revision

We study here preference revision, considering both the monotonic case where the original preferences are preserved and the nonmonotonic case where the new preferences may override the original ones. We use a relational framework in which preferences are represented using binary relations (not necessarily finite). We identify several classes of revisions that preserve order axioms, for example the axioms of strict partial or weak orders. We consider applications of our results to preference querying in relational databases.