Abstract
Methods based on rough sets to data containing incomplete information are examined for whether a correctness criterion is satisfied or not. It is clarified that the methods proposed so far do not satisfy the correctness criterion. Therefore, we show a new formula that satisfies the correctness criterion in methods by valued tolerance relations.
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References
Abiteboul, S., Hull, R., Vianu, V.: Fundations of Databases. Addison-Wesley Publishing Company, Reading (1995)
Gediga, G., Düntsch, I.: Rough Approximation Quality Revusited. Artificial Intelligence 132, 219–234 (2001)
Grzymala-Busse, J.W.: On the Unknown Attribute Values in Learning from Examples. In: Raś, Z.W., Zemankova, M. (eds.) ISMIS 1991. LNCS, vol. 542, pp. 368–377. Springer, Heidelberg (1991)
Imielinski, T.: Incomplete Information in Logical Databases. Data Engineering 12, 93–104 (1989)
Imielinski, T., Lipski, W.: Incomplete Information in Relational Databases. Journal of the ACM 31(4), 761–791 (1984)
Kryszkiewicz, M.: Properties of Incomplete Information Systems in the framework of Rough Sets. In: Polkowski, L., Skowron, A. (eds.) Rough Set in Knowledge Discovery 1: Methodology and Applications, Studies in Fuzziness and Soft Computing 18, pp. 422–450. Physica, New York (1998)
Kryszkiewicz, M.: Rules in Incomplete Information Systems. Information Sciences 113, 271–292 (1999)
Kryszkiewicz, M., Rybiński, H.: Data Mining in Incomplete Information Systems from Rough Set Perspective. In: Polkowski, L., Tsumoto, S., Lin, T.Y. (eds.) Rough Set Methods and Applications, Studies in Fuzziness and Soft Computing 56, pp. 568–580. Physica, New York (2000)
Nakata, M., Sakai, H.: Rough-set-based Approaches to Data Containing Incomplete Information: Possibility-based Cases. In: Proceedings of the Fifth Congress of Logic Applied to Technology, IOS Press, Amsterdam (2005) (in press)
Parsons, S.: Current Approaches to Handling Imperfect Information in Data and Knowledge Bases. IEEE Transactions on Knowledge and Data Engineering 8(3), 353–372 (1996)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)
Sakai, H.: Some Issues on Nondeterministic Knowledge Bases with Incomplete Information. In: Polkowski, L., Skowron, A. (eds.) RSCTC 1998. LNCS (LNAI), vol. 1424, pp. 424–431. Springer, Heidelberg (1998)
Sakai, H.: An Algorithm for Finding Equivalence Relations from Table Nondeterministic Information. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC 1999. LNCS (LNAI), vol. 1711, pp. 64–72. Springer, Heidelberg (1999)
Slowiński, R., Stefanowski, J.: Rough Classification in Incomplete Information Systems. Mathematical and Computer Modelling 12(10/11), 1347–1357 (1989)
Stefanowski, J., Tsoukiàs, A.: On the Extension of Rough Sets under Incomplete Information. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC 1999. LNCS (LNAI), vol. 1711, pp. 73–81. Springer, Heidelberg (1999)
Stefanowski, J., Tsoukiàs, A.: Valued Tolerance and Decision Rules. In: Ziarko, W.P., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 212–219. Springer, Heidelberg (2001)
Stefanowski, J., Tsoukiàs, A.: Incomplete Information Tables and Rough Classification. Computational Intelligence 17(3), 545–566 (2001)
Zimányi, E., Pirotte, A.: Imperfect Information in Relational Databases. In: Motro, A., Smets, P. (eds.) Uncertainty Management in Information Systems: From Needs to Solutions, pp. 35–87. Kluwer Academic Publishers, Dordrecht (1997)
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Nakata, M., Sakai, H. (2005). Checking Whether or Not Rough-Set-Based Methods to Incomplete Data Satisfy a Correctness Criterion. In: Torra, V., Narukawa, Y., Miyamoto, S. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2005. Lecture Notes in Computer Science(), vol 3558. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11526018_23
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DOI: https://doi.org/10.1007/11526018_23
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