Abstract
An extended relational data model that can deal with various kinds of imperfect information is shown under a modal logic approach. This gives a new direction to deal with imperfect information. In our extension various kinds of imperfect information can be handled simultaneously, although an extended relational model has been related with one kind of imperfect information so far. This is because our extended data model has a uniform expression and the same operations to various kinds of imperfect information. Moreover our model can support flexible queries as well as conventional queries. Thus, our approach gives an important basis to integrate different kinds of databases handling different sorts of imperfect information.
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Beaubouef, T., Petry, F. E., and Buckles, B. P. [1995] Extension of the Relational Databases and Its Algebra with Rough Set Techniques, Computational Intelligence, 11:2, 233–245.
Bell, D. A., Guan, J. W., and Lee, S. K. [1996] Generalized Union and Project Operations for Pooling Uncertain and Imprecise Information, Data & Knowledge Engineering, 18, 89–117.
Barbará, D., Garcia-Molina, H., and Porter, D. [1992] The Management of Probabilistic Data, IEEE Transactions on Knowledge and Data Engineering, 4:5, 487–502.
Dey, D. and Sarkar, S. [1996]A Probabilistic Model and Algebra, ACM Transactions on Database Systems, 21:3, 339–369.
Harmanec, D., Klir, G. J., and Resconi, G. [1994] On Modal Logic Interpretation of Dempster-Shafer Theory of Evidence, International Journal of Intelligent Systems, 9, 941–951.
Klir, G. and Harmanec, D. [1994] On Modal Logic Interpretation of Possibility Theory, International Journal of Uncertainty, Fuzziness and KnowledgeBased Systems, 2:2, 237–245.
Lee, S. K. [1992]Imprecise and Uncertain Information in Databases: An Evidential Approach. in Proceedings of the 8th International Conference on Data Engineering, IEEE 1992, pp. 614–621.
Nakata, M. [1996] Unacceptable Components in Fuzzy Relational Databases, International Journal of Intelligent Systems, 11:9, 633–647.
Pittarelli, M. [1994] An Algebra for Probabilistic Databases, IEEE Transactions on Knowledge and Data Engineering, 6:2, 293–303.
Prade, H. [1984] Lipski's Approach to Incomplete Information Data Bases Restated and Generalized in the Setting of Zadeh's Possibility Theory, Information Systems 9:1, 27–42.
Prade, H. and Testemale, C. [1984] Generalizing Database Relational Algebra for the Treatment of Incomplete or Uncertain Information and Vague Queries, Information Science, 34, 115–143.
Resconi, G., Klir, G. J., and Clair, U. S. [1992] Hierarchical Uncertainty Metatheory Based upon Modal Logic, International Journal of General Systems, 21, 23–50.
Resconi, G., Klir, G. J., Clair, U. S., and Harmanec, D. [1993] On the Integration of Uncertainty Theories, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1:1, 1–18.
Resconi, G., Klir, G. J., Harmanec, D., and Clair, U. S. [1996] Interpretations of Various Uncertainty Theories Using Models of Modal Logic: A Summary, Fuzzy Sets and Systems, 80, 7–14.
Umano, M. [1982] FREEDOM-O: A Fuzzy Database System, in Fuzzy Information and Decision Processes, M. M. Gupta and E. Sanchez, eds., North-Holland, Amsterdam, pp. 339–347.
Umano, M. [1983] Retrieval from Fuzzy Database by Fuzzy Relational Algebra, in Proc. IFAC Symposium, Fuzzy Information, Knowledge Representation and Decision Analysis, E. Sanchez, ed., (Marseille, July 19–21), Pergamon Press, pp. 1–6.
Zemankova, M. and Kandel, A. [1984] Fuzzy Relational Databases-A Key to Expert Systems, Verlag TÃœV Rheinland, Cologne, 1984.
Zimányi, E. [1997] Query Evaluation in Probabilistic Relational Databases, Theoretical Computer Science, 171, 179–219.
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© 1997 Springer-Verlag Berlin Heidelberg
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Nakata, M., Resconi, G., Murai, T. (1997). Handling imperfection in databases: A modal logic approach. In: Hameurlain, A., Tjoa, A.M. (eds) Database and Expert Systems Applications. DEXA 1997. Lecture Notes in Computer Science, vol 1308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022069
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DOI: https://doi.org/10.1007/BFb0022069
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