Manuel Atencia, Alexander Borgida, Jérôme Euzenat, Chiara Ghidini and Luciano Serafini, A Formal Semantics for Weighted Ontology Mappings, in Proceedings of the 11th International Semantic Web Conference (ISWC 2012), Boston, US, November, 2012. [PDF(local)], [PDF(online)]

Abstract:
Ontology mappings are often assigned a weight or confidence factor by matchers. Nonetheless, few semantic accounts have been given so far for such weights. This paper presents a formal semantics for weighted mappings between different ontologies. It is based on a classificational interpretation of mappings: if O1 and O2 are two ontologies used to classify a common set X , then mappings between O1 and O2 are interpreted to encode how elements of X classified in the concepts of O1 are re-classified in the concepts of O2, and weights are interpreted to measure how precise and complete re-classifications are. This semantics is justifiable by extensional practice of ontology matching. It is a conservative extension of a semantics of crisp mappings. The paper also includes properties that relate mapping entailment with description logic constructors.

BibTex:

    @InProceedings { iswc2012paper-research-29,
      author = { Manuel Atencia, Alexander Borgida, Jérôme Euzenat, Chiara Ghidini and Luciano Serafini },
      title = { A Formal Semantics for Weighted Ontology Mappings },
      booktitle = { Proceedings of the 11th International Semantic Web Conference (ISWC 2012) },
      address = {Boston, US},
      month = { November },
      year = { 2012 },
    }

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