This SpringerBrief proposes a general framework for reasoning about
inconsistency in a wide variety of logics, including inconsistency
resolution methods that have not yet been studied. The proposed
framework allows users to specify preferences on how to resolve
inconsistency when there are multiple ways to do so. This empowers users
to resolve inconsistency in data leveraging both their detailed
knowledge of the data as well as their application needs. The brief
shows that the framework is well-suited to handle inconsistency in
several logics, and provides algorithms to compute preferred options.
Finally, the brief shows that the framework not only captures several
existing works, but also supports reasoning about inconsistency in
several logics for which no such methods exist today.