Abstract
Over the years, inconsistency management has caught the attention of researchers of different areas. Inconsistency is a problem that arises in many different scenarios, for instance, ontology development or knowledge integration. In such settings, it is important to have adequate automatic tools for handling potential conflicts. Here we propose a novel approach to belief base consolidation based on a refinement of kernel contraction that accounts for the relation among kernels using clusters. We define cluster contraction based consolidation operators as the contraction by falsum on a belief base using cluster incision functions, a refinement of (smooth) kernel incision functions. A cluster contraction-based approach to belief bases consolidation can successfully obtain a belief base satisfying the expected consistency requirement. Also, we show that the application of cluster contraction-based consolidation operators satisfy minimality regarding loss of information and are equivalent to operators based on maxichoice contraction.
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Alchourrón, C., Gärdenfors, P., Makinson, D.: On the logic of theory change: Partial meet contraction and revision functions. J. Symb. Log. 50(2), 510–530 (1985)
Arenas, M., Bertossi, L., Chomicki, J.: Consistent query answers in inconsistent databases. In: PODS, pp. 68–79 (1999)
Baral, C., Kraus, S., Minker, J., Subrahmanian, V.S.: Combining knowledge bases consisting of first-order analysis. Comput. Intell. 8, 45–71 (1992)
Benferhat, S., Cayrol, C., Dubois, D., Lang, J., Prade, H.: Inconsistency management and prioritized syntax-based entailment. In: IJCAI, pp. 640–645 (1993)
Benferhat, S., Dubois, D., Lang, J., Prade, H., Saffiotti, A., Smets, P.: A general approach for inconsistency handling and merging information in prioritized knowledge bases. In: KR, pp. 466–477 (1998)
Benferhat, S., Dubois, D., Prade, H.: Some syntactic approaches to the handling of inconsistent knowledge bases: A comparative study part 1: The flat case. Studia Logica 58(1), 17–45 (1997)
Brewka, G.: Preferred subtheories: An extended logical framework for default reasoning. In: IJCAI, pp. 1043–1048 (1989)
Delgrande, J., Jin, Y.: Parallel belief revision: Revising by sets of formulas. Artif. Intell. 176(1), 2223–2245 (2012)
Falappa, M., Fermé, E., Kern-Isberner, G.: On the logic of theory change: Relations between incision and selection functions. In: ECAI, pp. 402–406 (2006)
Hansson, S.: Belief Base Dynamics. Ph.D. thesis, Uppsala University, Department of Philosophy, Uppsala, Sweden (1991)
Hansson, S.: Kernel contraction. J. Symb. Log. 59(3), 845–859 (1994)
Hansson, S.: A Textbook of Belief Dynamics: Solutions to Exercises. Kluwer Academic Publishers, Norwell (2001)
Hué, J., Würbel, E., Papini, O.: Removed sets fusion: Performing off the shelf. In: ECAI, vol. 178, pp. 94–98 (2008)
Hunter, A., Konieczny, S.: On the measure of conflicts: Shapley inconsistency values. Artif. Intell. 174(14), 1007–1026 (2010)
Lozinskii, E.: Information and evidence in logic systems. JETAI 6(2), 163–193 (1994)
Lukasiewicz, T., Martinez, M.V., Simari, G.I.: Inconsistency handling in Datalog+/- ontologies. In: ECAI, pp. 558–563 (2012)
Martinez, M.V., Parisi, F., Pugliese, A., Simari, G.I., Subrahmanian, V.S.: Policy-based inconsistency management in relational databases. IJAR 55(2), 501–528 (2014)
Martinez, M.V., Pugliese, A., Simari, G.I., Subrahmanian, V.S., Prade, H.: How dirty is your relational database? An axiomatic approach. In: Mellouli, K. (ed.) ECSQARU 2007. LNCS (LNAI), vol. 4724, pp. 103–114. Springer, Heidelberg (2007)
Peppas, P.: Belief revision. In: Handbook of Knowledge Representation, ch. 8, pp. 317–359. Foundations of AI, Elsevier (2008)
Ribeiro, M.M.: Belief Revision in Non-Classical Logics. Springer Briefs in Computer Science. Springer (2013)
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Deagustini, C.A.D., Martínez, M.V., Falappa, M.A., Simari, G.R. (2014). Improving Inconsistency Resolution by Considering Global Conflicts. In: Straccia, U., Calì, A. (eds) Scalable Uncertainty Management. SUM 2014. Lecture Notes in Computer Science(), vol 8720. Springer, Cham. https://doi.org/10.1007/978-3-319-11508-5_11
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DOI: https://doi.org/10.1007/978-3-319-11508-5_11
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