Abstract
We present a semantic model of typicality of concept members in description logics (DLs) that accords well with a binary, globalist cognitive model of class membership and typicality. We define a general preferential semantic framework for reasoning with object typicality in DLs. We propose the use of feature vectors to rank concept members according to their defining and characteristic features, which provides a modelling mechanism to specify typicality in composite concepts.
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References
Baader, F., Horrocks, I., Sattler, U.: Description logics. In: van Harmelen, F., Lifschitz, V., Porter, B. (eds.) Handbook of Knowledge Representation, pp. 135–180. Elsevier, Amsterdam (2008)
Britz, K., Heidema, J., Labuschagne, W.: Semantics for dual preferential entailment. Journal of Philosophical Logic 38, 433–446 (2009)
Britz, K., Heidema, J., Meyer, T.: Semantic preferential subsumption. In: Proceedings of KR 2008, pp. 476–484. AAAI Press, Menlo Park (2008)
Chater, N., Lyon, K., Meyers, T.: Why are conjunctive categories overextended? Journal of Experimental Psychology: Learning, Memory, and Cognition 16(3), 497–508 (1990)
Donini, F.M., Nardi, D., Rosati, R.: Description logics of minimal knowledge and negation as failure. ACM Transactions on Computational Logic 3(2), 177–225 (2002)
Freund, M., Lehmann, D., Morris, P.: Rationality, transitivity and contraposition. Artificial Intelligence 52(2), 191–203 (1991)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: Preferential description logics. In: Dershowitz, N., Voronkov, A. (eds.) LPAR 2007. LNCS (LNAI), vol. 4790, pp. 257–272. Springer, Heidelberg (2007)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: Reasoning about typicality in preferential description logics. In: Hölldobler, S., Lutz, C., Wansing, H. (eds.) JELIA 2008. LNCS (LNAI), vol. 5293, pp. 192–205. Springer, Heidelberg (2008)
Grossi, D., Dignum, F., Meyer, J.-J.C.: Context in categorization. In: Serafini, L., Bouquet, P. (eds.) Proceedings of CRR 2005. CEUR Workshop Proceedings, vol. 136. CEUR-WS (2005)
Hampton, J.A.: Overextension of conjunctive concepts: Evidence for a unitary model of concept typicality and class inclusion. Journal of Experimental Psychology: Learning, Memory, and Cognition 14(1), 12–32 (1988)
Hampton, J.A.: Concepts as prototypes. The Psychology of Learning and Motivation 46, 79–113 (2006)
Kamp, H., Partee, B.: Prototype theory and compositionality. Cognition 57, 129–191 (1995)
Kraus, S., Lehmann, D., Magidor, M.: Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence 44, 167–207 (1990)
Lehmann, D.: Stereotypical reasoning: Logical properties. Logic Journal of the IGPL 6(1), 49–58 (1998)
Lehmann, D., Magidor, M.: What does a conditional knowledge base entail? Artificial Intelligence 55, 1–60 (1992)
Lyon, K., Chater, N.: Localist and globalist approaches to concepts. In: Gilhooly, K.J., Keane, M.T.G., Logie, R.H., Erdos, G. (eds.) Lines of Thinking. John Wiley & Sons Ltd., Chichester (1990)
Osherson, D.N., Smith, E.E.: Gradedness and conceptual combination. Cognition 12, 299–318 (1982)
Osherson, D.N., Smith, E.E.: On typicality and vagueness. Cognition 64, 189–206 (1997)
Sheremet, M., Tishkovsky, D., Wolter, F., Zakhharyaschev, M.: A logic for concepts and similarity. Journal of Logic and Computation 17(3), 415–452 (2007)
Shoham, Y.: Reasoning about Change: Time and Causation from the Standpoint of Artificial Intelligence. MIT Press, Cambridge (1988)
Yeung, C., Leung, H.: Ontology with likeliness and typicality of objects in concepts. In: Embley, D.W., Olivé, A., Ram, S. (eds.) ER 2006. LNCS, vol. 4215, pp. 98–111. Springer, Heidelberg (2006)
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Britz, K., Heidema, J., Meyer, T. (2009). Modelling Object Typicality in Description Logics. In: Nicholson, A., Li, X. (eds) AI 2009: Advances in Artificial Intelligence. AI 2009. Lecture Notes in Computer Science(), vol 5866. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10439-8_51
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DOI: https://doi.org/10.1007/978-3-642-10439-8_51
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