Abstract
Many applications require the establishment of mappings between ontologies. Such mappings are established by domain experts or automated tools. Errors in mappings can introduce inconsistencies in the resulting combined ontology. We consider the problem of identifying the largest consistent subset of mappings in hierarchical ontologies. We consider mappings that assert that a concept in one ontology is a subconcept, superconcept, or equivalent concept of a concept in another ontology and show that even in this simple setting, the task of identifying the largest consistent subset is NP-hard. We explore several polynomial time algorithms for finding suboptimal solutions including a heuristic algorithm to this problem. We experimentally compare the algorithms using several synthetic as well as real-world ontologies and mappings.
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References
Choi, N., Song, I.Y., Han, H.: A survey on ontology mapping. SIGMOD Rec. 35(3), 34–41 (2006)
Demetrescu, C., Finocchi, I.: Combinatorial algorithms for feedback problems in directed graphs. Inf. Process. Lett. 86, 2003 (2003)
Doan, A., Halevy, A.Y.: Semantic-integration research in the database community. AI Mag. 26(1), 83–94 (2005)
Ehrig, M., Sure, Y.: Foam - a framework for ontology alignment and mapping. In: Gil, Y., Motta, E., Benjamins, V.R., Musen, M.A. (eds.) ISWC 2005. LNCS, vol. 3729. Springer, Heidelberg (2005)
Euzenat, J., et al.: Ontology alignment evaluation initiative (2010), http://oaei.ontologymatching.org/
Euzenat, J., Shvaiko, P.: Ontology Matching. Springer, Berlin (2007)
Falconer, S.M., Storey, M.A.D.: A cognitive support framework for ontology mapping. In: Aberer, K., Choi, K.-S., Noy, N., Allemang, D., Lee, K.-I., Nixon, L.J.B., Golbeck, J., Mika, P., Maynard, D., Mizoguchi, R., Schreiber, G., Cudré-Mauroux, P. (eds.) ASWC 2007 and ISWC 2007. LNCS, vol. 4825, pp. 114–127. Springer, Heidelberg (2007)
Guo, J., Hüffner, F., Moser, H.: Feedback arc set in bipartite tournaments is np-complete. Inf. Process. Lett. 102(2-3), 62–65 (2007)
Kalfoglou, Y., Schorlemmer, M.: Ontology mapping: the state of the art. Knowl. Eng. Rev. 18(1), 1–31 (2003)
Kalyanpur, A., Parsia, B., Sirin, E., Grau, B.C.: Repairing unsatisfiable concepts in owl ontologies. In: Sure, Y., Domingue, J. (eds.) ESWC 2006. LNCS, vol. 4011, pp. 170–184. Springer, Heidelberg (2006)
Kleinberg, J., Tardos, E.: Algorithm Design. Addison-Wesley Longman Publishing Co., Inc., Amsterdam (2005)
Koul, N., Honavar, V.: Learning in presence of ontology mapping errors. In: Web Intelligence (2010)
Meilicke, C., Stuckenschmidt, H., Tamilin, A.: Repairing ontology mappings. In: AAAI, pp. 1408–1413 (2007)
Shvaiko, P., Euzenat, J.: Ten challenges for ontology matching. In: Meersman, R., Tari, Z. (eds.) OTM 2008, Part II. LNCS, vol. 5332, pp. 1164–1182. Springer, Heidelberg (2008)
Wang, T.D., Parsia, B., Hendler, J.: A survey of the web ontology landscape. In: Cruz, I., Decker, S., Allemang, D., Preist, C., Schwabe, D., Mika, P., Uschold, M., Aroyo, L.M. (eds.) ISWC 2006. LNCS, vol. 4273, pp. 682–694. Springer, Heidelberg (2006)
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Sanghvi, B., Koul, N., Honavar, V. (2010). Identifying and Eliminating Inconsistencies in Mappings across Hierarchical Ontologies. In: Meersman, R., Dillon, T., Herrero, P. (eds) On the Move to Meaningful Internet Systems, OTM 2010. OTM 2010. Lecture Notes in Computer Science, vol 6427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16949-6_24
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DOI: https://doi.org/10.1007/978-3-642-16949-6_24
Publisher Name: Springer, Berlin, Heidelberg
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