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Measuring Similarity in Description Logics Using Refinement Operators

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Case-Based Reasoning Research and Development (ICCBR 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6880))

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Abstract

Similarity assessment is a key operation in many artificial intelligence fields, such as case-based reasoning, instance-based learning, ontology matching, clustering, etc. This paper presents a novel measure for assessing similarity between individuals represented using Description Logic (DL). We will show how the ideas of refinement operators and refinement graph, originally introduced for inductive logic programming, can be used for assessing similarity in DL and also for abstracting away from the specific DL being used. Specifically, similarity of two individuals is assessed by first computing their most specific concepts, then the least common subsumer of these two concepts, and finally measuring their distances in the refinement graph.

Partially supported by the Spanish Ministry of Science and Education project Next-CBR (TIN2009-13692-C03-01 and TIN2009-13692-C03-03).

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References

  1. Armengol, E., Plaza, E.: Relational case-based reasoning for carcinogenic activity prediction. Artif. Intell. Rev. 20(1-2), 121–141 (2003)

    Article  Google Scholar 

  2. Ashburner, M.: Gene ontology: Tool for the unification of biology. Nature Genetics 25, 25–29 (2000)

    Article  Google Scholar 

  3. Baader, F.: Least common subsumers and most specific concepts in a description logic with existential restrictions and terminological cycles. In: Proceedings of the 18th International Joint Conference on Artificial Intelligence, pp. 319–324. Morgan Kaufmann Publishers Inc., San Francisco (2003), http://portal.acm.org/citation.cfm?id=1630659.1630706

    Google Scholar 

  4. Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook: Theory, Implementation and Applications. Cambridge University Press, New York (2003)

    MATH  Google Scholar 

  5. Badea, L., Nienhuys-Cheng, S.H.: A refinement operator for description logics. In: Cussens, J., Frisch, A. (eds.) ILP 2000. LNCS (LNAI), vol. 1866, pp. 40–59. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  6. Bergmann, R., Stahl, A.: Similarity measures for object-oriented case representations. In: Smyth, B., Cunningham, P. (eds.) EWCBR 1998. LNCS (LNAI), vol. 1488, pp. 8–13. Springer, Heidelberg (1998)

    Google Scholar 

  7. Blockeel, H., Ramon, J., Shavlik, J.W., Tadepalli, P.: ILP 2007. LNCS (LNAI), vol. 4894. Springer, Heidelberg (2008)

    Book  MATH  Google Scholar 

  8. Bodenreider, O., Smith, B., Kumar, A., Burgun, A.: Investigating subsumption in SNOMED CT: An exploration into large description logic-based biomedical terminologies. Artif. Intell. Med. 39, 183–195 (2007), http://portal.acm.org/citation.cfm?id=1240342.1240604

    Article  Google Scholar 

  9. Cojan, J., Lieber, J.: An algorithm for adapting cases represented in an expressive description logic. In: Bichindaritz, I., Montani, S. (eds.) ICCBR 2010. LNCS, vol. 6176, pp. 51–65. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. d’Amato, C., Staab, S., Fanizzi, N.: On the influence of description logics ontologies on conceptual similarity. In: Gangemi, A., Euzenat, J. (eds.) EKAW 2008. LNCS (LNAI), vol. 5268, pp. 48–63. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Emde, W., Wettschereck, D.: Relational instance based learning. In: Saitta, L. (ed.) Machine Learning - Proceedings 13th International Conference on Machine Learning, pp. 122–130. Morgan Kaufmann Publishers, San Francisco (1996)

    Google Scholar 

  12. González-Calero, P.A., Díaz-Agudo, B., Gómez-Albarrán, M.: Applying DLs for retrieval in case-based reasoning. In: Proceedings of the 1999 Description Logics Workshop, DL 1999 (1999)

    Google Scholar 

  13. van Harmelen, F., McGuinness, D.L.: OWL Web Ontology Language Overview. W3C recommendation, W3C (February 2004), http://www.w3.org/TR/2004/REC-owl-features-20040210/

  14. Horváth, T., Wrobel, S., Bohnebeck, U.: Relational instance-based learning with lists and terms. Machine Learning 43(1-2), 53–80 (2001)

    Article  MATH  Google Scholar 

  15. van der Laag, P.R.J., Nienhuys-Cheng, S.H.: Completeness and properness of refinement operators in inductive logic programming. Journal of Logic Programming 34(3), 201–225 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  16. Larson, J., Michalski, R.S.: Inductive inference of VL decision rules. SIGART. Bull. 63(63), 38–44 (1977)

    Article  Google Scholar 

  17. Lehmann, J., Haase, C.: Ideal downward refinement in the EL description logic. In: Raedt, L.D. (ed.) ILP 2009. LNCS, vol. 5989, pp. 73–87. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Lehmann, J., Hitzler, P.: Foundations of refinement operators for description logics. In: Blockeel, H., et al. (eds.) [7], pp. 161–174

    Google Scholar 

  19. Lehmann, J., Hitzler, P.: A refinement operator based learning algorithm for the LC description logic. In: Blockeel, H., et al. (eds.) [7], pp. 147–160

    Google Scholar 

  20. Ontañón, S., Plaza, E.: On similarity measures based on a refinement lattice. In: Wilson, D., McGinty, L. (eds.) ICCBR 2009. LNCS, vol. 5650, pp. 240–255. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Plotkin, G.D.: A note on inductive generalization. In: Meltzer, B., Michie, D. (eds.) Machine Intelligence, vol. 5, pp. 153–163. Edinburgh University Press, Edinburgh (1970)

    Google Scholar 

  22. Salotti, S., Ventos, V.: Study and formalization of a case-based reasoning system using a description logic. In: Smyth, B., Cunningham, P. (eds.) EWCBR 1998. LNCS (LNAI), vol. 1488, pp. 286–297. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  23. Sánchez-Ruiz-Granados, A.A., González-Calero, P.A., Díaz-Agudo, B.: Abstraction in knowledge-rich models for case-based planning. In: McGinty, L., Wilson, D.C. (eds.) ICCBR 2009. LNCS, vol. 5650, pp. 313–327. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  24. Winkler, W.E., Thibaudeau, Y.: An application of the Fellegi-Sunter model of record linkage to the 1990 U.S. decennial census. In: U.S. Decennial Census. Technical report, US Bureau of the Census (1987)

    Google Scholar 

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Ashwin Ram Nirmalie Wiratunga

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Sánchez-Ruiz, A.A., Ontañón, S., González-Calero, P.A., Plaza, E. (2011). Measuring Similarity in Description Logics Using Refinement Operators. In: Ram, A., Wiratunga, N. (eds) Case-Based Reasoning Research and Development. ICCBR 2011. Lecture Notes in Computer Science(), vol 6880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23291-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-23291-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23290-9

  • Online ISBN: 978-3-642-23291-6

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