Abstract
We study the problem of aggregating metadata about the validity and/or completeness, with respect to given topics, of information provided by multiple sources. For a given topic, the validity level reflects the certainty that the information stored is true. The completeness level of a source on a given topic reflects the certainty that a piece of information that is not stored is false. We propose a modeling based on possibility theory which allows the fusion of such multi-source information into a graded belief base.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Abiteboul, S., Bourhis, P., Vianu, V.: A formal study of collaborative access control in distributed datalog. In: ICDT. LIPIcs, vol. 48, pp. 10:1–10:17. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2016)
Assaghir, Z., Napoli, A., Kaytoue, M., Dubois, D., Prade, H.: Numerical information fusion: lattice of answers with supporting arguments. In: ICTAI, pp. 621–628. IEEE Computer Society (2011)
Bacchus, F., Grove, A.J., Halpern, J.Y., Koller, D.: From statistical knowledge bases to degrees of belief. Artif. Intell. 87(1–2), 75–143 (1996)
Belhadi, A., Dubois, D., Khellaf-Haned, F., Prade, H.: Multiple agent possibilistic logic. J. Appl. Non-Class. Logics 23(4), 299–320 (2013)
Bernays, P., Schönfinkel, M.: Zum Entscheidungsproblem der mathematischen Logik. Math. Ann. 99, 342–372 (1928)
Cholvy, L.: Collecting information reported by imperfect information sources. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds.) IPMU 2012. CCIS, vol. 299, pp. 501–510. Springer, Heidelberg (2012). doi:10.1007/978-3-642-31718-7_52
Cholvy, L., Demolombe, R., Jones, A.: Reasoning about the safety of information: from logical formalization to operational definition. In: Raś, Z.W., Zemankova, M. (eds.) ISMIS 1994. LNCS, vol. 869, pp. 488–499. Springer, Heidelberg (1994). doi:10.1007/3-540-58495-1_49
Demolombe, R.: Answering queries about validity and completeness of data: from modal logic to relational algebra. In: FQAS. Datalogiske Skrifter (Writings on Computer Science), vol. 62, pp. 265–276. Roskilde University (1996)
Dubois, D., Lang, J., Prade, H.: Dealing with multi-source information in possibilistic logic. In: ECAI, pp. 38–42 (1992)
Dubois, D., Lang, J., Prade, H.: Possibilistic logic. In: Handbook of Logic in Artificial Intelligence and Logic Programming (vol. 3): Nonmonotonic Reasoning and Uncertain Reasoning, NY, USA, pp. 439–513. Oxford University Press, New York (1994)
Dubois, D., Prade, H.: Possibility Theory–An Approach to Computerized Processing of Uncertainty. Plenum Press, New York (1988)
Dubois, D., Prade, H.: Valid or complete information in databases —a possibility theory-based analysis—. In: Hameurlain, A., Tjoa, A.M. (eds.) DEXA 1997. LNCS, vol. 1308, pp. 603–612. Springer, Heidelberg (1997). doi:10.1007/BFb0022068
Green, T.J., Karvounarakis, G., Tannen, V.: Provenance semirings. In: Libkin, L. (ed.) Proceedings of 26th ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, Beijing, 11–13 June, pp. 31–40. ACM (2007)
Lang, J.: Possibilistic logic: complexity and algorithms. In: Kohlas, J., Moral, S. (eds.) Algorithms for Uncertainty and Defeasible Reasoning, pp. 179–220. Gabbay, D.M., Smets, Ph. (eds.) vol. 5. Handbook of Defeasible Reasoning and Uncertainty Management Systems. Kluwer Acad. Publ., Dordrecht (2001)
Lewis, H.R.: Complexity results for classes of quantificational formulas. J. Comput. Syst. Sci. 21, 317–353 (1980)
Marsh, S.P.: Formalising Trust as a Computational Concept. Ph.D. thesis, Department of Computing Science and Mathematics University of Stirling (1994)
Motro, A.: Integrity = validity + completeness. ACM Trans. Database Syst. 14(4), 480–502 (1989)
Pivert, O., Prade, H.: Possibilistic conditional tables. In: Gyssens, M., Simari, G. (eds.) FoIKS 2016. LNCS, vol. 9616, pp. 42–61. Springer, Cham (2016). doi:10.1007/978-3-319-30024-5_3
Schwitzgebel, E.: Belief. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy. Stanford University (Fall 2008), http://plato.stanford.edu/archives/fall2008/entries/belief/
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: A theory of approximate reasoning. In: Hayes, J.E., Mitchie, D., Mikulich, L.I. (eds.) Machine intelligence, vol. 9, pp. 149–194. Halstead Press, New York (1979)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
da Costa Pereira, C., Dubois, D., Prade, H., Tettamanzi, A.G.B. (2017). Handling Topical Metadata Regarding the Validity and Completeness of Multiple-Source Information: A Possibilistic Approach. In: Moral, S., Pivert, O., Sánchez, D., Marín, N. (eds) Scalable Uncertainty Management. SUM 2017. Lecture Notes in Computer Science(), vol 10564. Springer, Cham. https://doi.org/10.1007/978-3-319-67582-4_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-67582-4_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67581-7
Online ISBN: 978-3-319-67582-4
eBook Packages: Computer ScienceComputer Science (R0)