Incoherence as a Basis for Measuring the Quality of Ontology Mappings

Traditionally, the quality of ontology matching is measured using precision and recall with respect to a reference mapping. These measures have at least two major drawbacks. First, a mapping with acceptable precision and recall might nevertheless suffer from internal logical problems that hinder a sensible use of the mapping. Second, in practical situations reference mappings are not available. To avoid these drawbacks we introduce quality measures that are based on the notion of mapping incoherence that can be used without a reference mapping. We argue that these measures are a reasonable complement to the well-known measures already used for mapping evaluation. In particular, we show that one of these measures provides a strict upper bound for the precision of a mapping.