Abstract
Reducts are applied to represent the knowledge without superfluous attributes in rough set. In this paper, a two-phase β-certain reducts generation is developed to preserve the original classification of each decision class in the table under the majority inclusion relation with a user defined admissible error β. The first phase finds the initial solutions of β-certain reducts. Initial solutions are passed to the second phase and β-certain reducts are found by generating certain reducts of the second pseudo decision when all sub categories based on these certain reducts in the non-β-positive region are totally rejected under the β criterion. No verification is needed when β-certain reducts are found.
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Bazan, J.G., et al.: Rough set algorithms in classification problems. In: Polkowski, L., Tsumoto, S., Lin, T.Y. (eds.) Rough Set Methods and Applications: New Developments in Knowledge Discovery in Information Systems, pp. 49–88. Physical-Verlag, Heidelberg (2000)
Beynon, M.: Reducts with the variable precision rough set model: A further investigation. European Journal of Operating Research 134, 592–605 (2001)
Beynon, M.: The introduction and utilization of (l, u)-graphs in the extended variable precision rough set model. International Journal of Intelligent System 18, 1035–1055 (2003)
Inuiguchi, M.: Attribute Reduction in Variable Precision Rough Set Model. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14(4), 461–479 (2006)
Komorowski, J., et al.: Rough sets: a tutorial. In: Pal, S.K., Skowron, A. (eds.) Rough Fuzzy Hybridization: A New Trend in Decision-Making, pp. 3–98. Springer, Heidelberg (1999)
Kryszkiewicz, M.: Maintenance of reducts in the variable precision rough set model. ICS Research Report, 31/94. Warsaw University of Technology (June1994)
Nguyen, S.H., Nguyen, H.S.: Some efficient algorithms for rough set methods. In: Proc. of Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 1451–1456 (1996)
Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht (1991)
Skowron, A., Rauszer, C.: The discernibility matrices and functions in information Systems. Fundamenta Informaticae 15(2), 331–362 (1991)
Wang, P.C.: Highly scalable rough set reducts generation. Journal of Information Science and Engineering 23(4) (2007)
Wang, P.C.: Monotonic reducts generation using fbHash in Rough Set. Submitted to Data and Knowledge Engineering.
Ziarko, W.: Variable precision rough set model. Journal of Computer and System Sciences 46(1), 39–59 (1993)
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Wang, PC., Chiou, HK. (2007). Two-Phase β-Certain Reducts Generation. In: Yao, J., Lingras, P., Wu, WZ., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds) Rough Sets and Knowledge Technology. RSKT 2007. Lecture Notes in Computer Science(), vol 4481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72458-2_48
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DOI: https://doi.org/10.1007/978-3-540-72458-2_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72457-5
Online ISBN: 978-3-540-72458-2
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