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A New Rough Sets Model Based on Database Systems

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Języki publikacji
EN
Abstrakty
EN
Rough sets theory was proposed by Pawlak in the early 1980?s and has been applied successfully in a lot of domains. One of the major limitations of the traditional rough sets model in the real applications is the inefficiency in the computation of core and reduct, because all the intensive computational operations are performed in flat files. In order to improve the efficiency of computing core attributes and reducts, many novel approaches have been developed, some of which attempt to integrate database technologies. In this paper, we propose a new rough sets model and redefine the core attributes and reducts based on relational algebra to take advantages of the very efficient set-oriented database operations. With this new model and our new definitions, we present two new algorithms to calculate core attributes and reducts for feature selections. Since relational algebra operations have been efficiently implemented in most widely-used database systems, the algorithms presented in this paper can be extensively applied to these database systems and adapted to a wide range of real-life applications with very large data sets. Compared with the traditional rough set models, our model is very efficient and scalable.
Wydawca
Rocznik
Strony
135--152
Opis fizyczny
Bibliogr. 21 poz., tab.
Twórcy
autor
  • College of Information Science, Drexel University, Philadelphia, PA 19104, USA
autor
  • Department of Computer Science, San Jose State University, San Jose, CA 94403. USA
autor
  • Department of Computer Science, California State University Dominguez Hills, Carson, CA 90747, USA
Bibliografia
  • [1] Bazan, J., Nguyen, H., Nguyen, S., Synak. P., Wróblewski, J.: Rough set algorithms in classification problems. In Polkowski. L., Lin. T. Y., Tsumoto, S. eds. Rough Set Methods and Applications: New Developments in Knowledge Discovery in Information Systems, Physica-Verlag. Heidelberg. Germany. 2000. 49-88
  • [2] Cercone N., Ziarko W., Hu X.: Rule discovery from databases: A Decision matrix approach. In Proc. IS-MIS’96, Zakopane, Poland, 1996. 653-662
  • [3] Fernandez-Baizan, A., Ruiz, E., Sanchez, J.: Integrating RDMS and Data Mining capabilities using rough sets. In Proc. I PM U'96. Granada, Spain. 1996
  • [4] Garcia-Molina, H., Ullman, J. D., Widom, J.: Database System Implementation. Prentice Hall, 2000.
  • [5] Hu, X., Cercone N., Han, J., Ziarko. W.: GRS: A Generalized Rough Sets Model in Data Mining. In Lin, T.Y., Yao, Y.Y., Zadeh. L. eds. Data Mining. Rough Sets and Granular Computing, Physica-Verlag, 2002, 447-460
  • [6] John. G., Kohavi, R., Pfleger.K.: Irrelevant features and the Subset Selection Problem. In Proc. ICML'94. 1994, 121-129
  • [7] Kira, K., Rendell, L.A.: The Feature Selection Problem: Traditional methods and a new algorithm. In Proc. ААА’92, MIT Press, 1992, 129-134
  • [8] Kumar A.: New techniques for data reduction in database systems for knowledge discovery applications. Journal of Intelligent Information Systems. 10(1) (1998) 31-48
  • [9] Lin T.Y., Cercone, N. eds.: Rough Sets and Data Mining: Analysis of Imprecise Data, Kluwer Academic Publishers, 1997
  • [10] Lin T.Y., Yao Y.Y. Zadeh L. eds.: Data Mining, Rough Sets and Granular Computing, Physica-Verlag, 2002
  • [11] Liu. H., Motoda., H. eds.: Feature Extraction Construction and Selection: A Data Mining Perspective, Kluwer Academic Publishers, 1998
  • [12] Modrzejewski, M.: Feature selection using rough sets theory. In Proc. ECML'93. 1993, 213-226
  • [13] Nguyen, H., Nguyen, S.: Some efficient algorithms for rough set methods. In Proc. IPMU'96, Granada, Spain, 1996, 1451-1456
  • [14] Pawlak, Z.: Rough sets. International Journal of Information and Computer Science. 11(5) (1982) 341-356
  • [15] Pawlak Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, 1992
  • [16] Polkowski, L., Skowron, A.: Rough mereology. In Proc. ISMIS'94. Charlotte, NC, 1994, 85-94
  • [17] Polkowski, L., Skowron, A.: Rough mereology: A new paradigm for approximate reasoning. J. of Approximate Reasoning 15(4) (1996) 333-356
  • [18] Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In Słowiński, R. ed. Intelligent Decision Support - Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, 1992, 331-362
  • [19] Skowron. A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27(2-3) (1996) 245-253
  • [20] Stepaniuk, J.: Generalized approximation spaces. In Proc. 3rd Intern. Workshop on Rough Sets and Soft Computing, San Jose State University, San Jose, California, 1994, 156-163
  • [21] Ziarko. W.: Variable Precision Rough Set Model. Journal of Computer and System Sciences. 46(1) (1993) 39-59
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0005-0007
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