Abstract
Ontologies represent principled, formalised descriptions of agents’ conceptualisations of a domain. For a community of agents, these descriptions may significantly differ. We propose an aggregative view of the integration of ontologies based on Judgement Aggregation (JA). Agents may vote on statements of the ontologies, and we aim at constructing a collective, integrated ontology, that reflects the individual conceptualisations as much as possible. As several results in JA show, many attractive and widely used aggregation procedures are prone to return inconsistent collective ontologies. We propose to solve the possible inconsistencies in the collective ontology by applying suitable weakenings of axioms that cause inconsistencies.
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Notes
- 1.
The finite set of TBox formulas in \(\varPhi \) might be all TBox formulas of a certain maximum length or the union of all TBox formulas that a given population of agents choose to include in their TBoxes.
References
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)
Baader, F., Peñaloza, R.: Axiom pinpointing in general tableaux. J. Logic Comput. 20(1), 5–34 (2010). Special Issue: Tableaux and Analytic Proof Methods
Confalonieri, R., Eppe, M., Schorlemmer, M., Kutz, O., Peñaloza, R., Plaza, E.: Upward refinement operators for conceptual blending in \(\cal{EL}^{++}\). Ann. Math. Artif. Intell. (2016). doi:10.1007/s10472-016-9524-8
Confalonieri, R., Kutz, O., Troquard, N., Galliani, P., Porello, D., Peñaloza, R., Schorlemmer, M.: Coherence, similarity, and concept generalisation. In: Proceedings of DL 2017. CEUR (2017)
Dietrich, F., List, C.: Judgment aggregation by quota rules: majority voting generalized. J. Theor. Polit. 19(4), 391–424 (2007)
Gaertner, W.: A Primer in Social Choice Theory. Oxford University Press, Oxford (2006)
Horridge, M., Parsia, B., Sattler, U.: Justification masking in ontologies. In: KR 2012. AAAI Press (2012)
Kornhauser, L.A., Sager, L.G.: The one and the many: adjudication in collegial courts. Calif. Law Rev. 81(1), 1–59 (1993)
Kutz, O., Mossakowski, T., Lücke, D.: Carnap, Goguen, and the Hyperontologies: Logical Pluralism and Heterogeneous Structuring in Ontology Design. Logica Universalis 4(2), 255–333 (2010). Special Issue on Is Logic Universal?
van der Laag, P.R., Nienhuys-Cheng, S.H.: Completeness and properness of refinement operators in inductive logic programming. J. Logic Program. 34(3), 201–225 (1998)
List, C., Pettit, P.: Aggregating sets of judgments: An impossibility result. Econ. Philos. 18(1), 89–110 (2002)
List, C.: Deliberation and agreement. In: Rosenberg, S.W. (ed.) Deliberation, Participation and Democracy, pp. 64–81. Palgrave Macmillan UK, London (2007). doi:10.1057/9780230591080_4
List, C., Puppe, C.: Judgment aggregation: a survey. In: Handbook of Rational and Social Choice. Oxford University Press (2009)
Ottonelli, V., Porello, D.: On the elusive notion of meta-agreement. Politics Philos. Econ. 12(1), 68–92 (2013)
Porello, D., Endriss, U.: Ontology merging as social choice: judgment aggregation under the open world assumption. J. Logic Comput. 24(6), 1229–1249 (2014)
Schlobach, S., Cornet, R.: Non-standard reasoning services for the debugging of description logic terminologies. In: Proceedings of IJCAI 2003, pp. 355–362. Morgan Kaufmann (2003)
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Porello, D., Troquard, N., Confalonieri, R., Galliani, P., Kutz, O., Peñaloza, R. (2017). Repairing Socially Aggregated Ontologies Using Axiom Weakening. In: An, B., Bazzan, A., Leite, J., Villata, S., van der Torre, L. (eds) PRIMA 2017: Principles and Practice of Multi-Agent Systems. PRIMA 2017. Lecture Notes in Computer Science(), vol 10621. Springer, Cham. https://doi.org/10.1007/978-3-319-69131-2_26
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