Abstract
In this paper, we present a brief survey of some approaches that have been proposed for the treatment of imperfect data in relational database systems and we focus on the possibility theory-based approach which is shown to provide a unifying way of handling uncertain and imprecise data. We are then concerned with the Boolean querying of possibilistic databases. We point out some interesting properties as well as some current research issues relating to the use of the possibilistic approach in a relational database context.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Barbara D., Garcia-Molina H., Porter D., The Management of Probabilistic Data, IEEE Transactions on Knowledge and Data Engineering, 4, pp.487–502, 1992.
Biskup J., A formal approach to null values in database relations. In H. Gallaire & J.M. Nicolas eds., Advances in Data Base Theory, vol. 1, Plenum Press, pp. 299–341, 1981.
Bosc P. Galibourg M., Indexing principles for a fuzzy data base, Information Systems, 14, pp. 493–499, 1989.
Bosc P., Pivert O., Some approaches for relational database flexible querying, International Journal of Intelligent Information Systems, 1, pp. 323–354, 1992.
Bosc P., Pivert O., SQLf: A Relational Database Language for Fuzzy Querying, IEEE Transactions on Fuzzy Systems, 3, pp. 1–17, 1995.
Boss B., An Index based on Superimposed Coding for a Fuzzy Object Oriented Database System, Proc. NAFIPS'94, pp. 289–290, 1994.
Codd E.F., Extending the Database Relational Model to Capture More Meaning, ACM Transactions on Database Systems, 4, pp. 397–434, 1979.
Codd E.F., Missing Information (applicable and inapplicable) in relational databases, SIGMOD Record, 15, pp. 53–78, 1986.
Dubois D., Prade H., Possibility Theory: an Approach to Computerized Processing of Uncertainty, Plenum Press, New York, 1988.
Dubois D., Prade H., Testemale C., Weighted fuzzy pattern matching, Fuzzy Sets and Systems, 28, pp. 313–331, 1988.
Gottlob G., Zicari R., Closed World Databases Opened Through Null Values, Proc. 14th VLDB Conference, Los Angeles, USA, pp. 50–61, 1988.
Grahne G., Dependency satisfaction in databases with incomplete information. Proc. 10th VLDB Conference, Singapore, pp. 37–45, 1984.
Grahne G., The Problem of Incomplete Information in Relational Databases, PhD thesis, University of Helsinki, Finland, March 1989.
Grant J., Incomplete information in a relational database, Annales Societatis Mathematicae Polonae, Series IV: Fundamenta Informaticae III, 3, pp. 363–378, 1980.
Imielinski T., Incomplete information in logical databases, IEEE Transactions on Data Engineering, 12, pp. 29–40, 1989.
Imielinski T., Lipski W., Incomplete information in relational databases, Journal of the ACM, 31, pp. 761–791, 1984.
Lee S.K., An Extended Relational Database Model for Uncertain and Imprecise Information, Proc. 18th VLDB Conference, Vanvouver, Canada, pp. 211–220, 1992.
Libkin L., Wong L., Semantic representations and query languages for or-sets, Proc. 12th PODS, pp. 37–48, 1993.
Lipski W., On semantic issues connected with incomplete information databases, ACM Transactions on Database Systems, 4, pp. 262–296, 1979.
Lipski W., On databases with incomplete information, Journal of the ACM, 28, pp. 41–70, 1981.
Michalewicz Z., Groves L.J., Sets and uncertainty in relational databases, in B. Bouchon, L. Saitta and R.R. Yager eds., Uncertainty and Intelligent Systems, IPMU'88, LNCS 313, Springer Verlag, pp. 127–137, 1988.
Michalewicz Z., Yeo A., Sets in relational databases, Proc. of the Canadian Information Processing Society, pp. 237–245, 1987.
Prade H., Lipski's approach to incomplete information data bases restated and generalized in the setting of Zadeh's possibility theory, Information Systems, 9, pp. 27–42, 1984.
Prade H., Testemale C., Generalizing Database Relational Algebra for the Treatment of Incomplete or Uncertain Information and Vague Queries, Information Sciences, 34, pp. 115–143, 1984.
Prade H., Testemale C., Fuzzy relational databases: representational issues and reduction using similarity measures, Journal of the American Society for Information Science, 38, pp. 118–126, 1987.
Vassiliou Y., Null values in database management: a denotational approach, Proc. ACM-SIGMOD International Conference on Management of Data, Boston, USA, pp. 162–169, 1979.
Yang Q., Liu C., Wu J., Yu C., Dao S, Nakajima H., Efficient Processing of Nested Fuzzy SQL Queries, Proc. IEEE International Conference on Data Engineering, Taiwan, 1995.
Zadeh L.A., Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, pp. 3–28, 1978.
Zaniolo C., Database relations with null values, Journal of Computer and System Sciences, 28, pp. 142–166, 1984.
Zicari R., Databases and Incomplete Information, in Proc. of the Workshop on Uncertainty Management in Information Systems: From Needs to Solutions, A. Motro & P. Smets eds., Puerto de Andraitx, Mallorca, Spain, pp. 52–63, 1992.
Zimanyi E, Pirotte A., Imperfect knowledge in databases, Proc. of the Workshop on Uncertainty Management in Information Systems: From Needs to Solutions, P. Smets & A. Motro eds., Avalon, Santa Catalina, USA, pp. 136–186, 1993.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bosc, P., Pivert, O. (1996). On the handling of imperfect data in relational database systems from null values to possibility distributions. In: Raś, Z.W., Michalewicz, M. (eds) Foundations of Intelligent Systems. ISMIS 1996. Lecture Notes in Computer Science, vol 1079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61286-6_165
Download citation
DOI: https://doi.org/10.1007/3-540-61286-6_165
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61286-5
Online ISBN: 978-3-540-68440-4
eBook Packages: Springer Book Archive