Given a domain of interest, an ontology provides a formal specification of the concepts and relationships in this domain. An align- ment identifies a semantic connection between the concepts and relation- ships of ontologies purporting to describe the same knowledge. The ma- jority of approaches to ontology alignment take a general view and rely on terminological and structural techniques to handle the widest possible class of ontologies. Due to the fuzzy nature of concepts and the varia- tions in their representations, this matching process is often complicated. One area that should provide a more solid foundation for comparison is mathematical concepts. Mathematical concepts are covered by numerous ontologies, making them a potentially important basis for comparison. One part of this doctoral work is to investigate the potential of using mathematical concepts to improve ontology alignment.
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Springer
J.C. Augusto , R. Wichert , R Collier , D Keyson , A.A. Salah (Albert Ali) , A.-H. Tan (Ah-Hwee)
doi.org/10.1007/978-3-319-03647-2-20
Lecture Notes in Computer Science
European Conference on Ambient Intelligence
Intelligent and autonomous systems

Do, C, & Pauwels, E.J.E.M. (2013). Harnessing Mathematics for Improved Ontology Alignment. In J.C Augusto, R Wichert, R Collier, D Keyson, A.A Salah, & A.-H Tan (Eds.), 4th International Joint Conference, AmI 2013 (pp. 1–318). Springer. doi:10.1007/978-3-319-03647-2-20