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Pai-Chou Wang
Department of International Business
Southern Taiwan University of Technology
Tainan, 710 Taiwan
Rough set theory is used to represent, analyze, and manipulate knowledge in information
or decision tables. To remove superfluous attributes without changing the original
knowledge, reduction is must in rough set. This paper introduces the pseudo decision
table to replace the original table and two algorithms, RGonCRS and SRGonCRS, based
on the current rules size, CRS, are presented to generate all reducts which ensure the
lower approximation for each instance in the table with a minimal number of attributes.
RGonCRS finds reducts by merging candidate attributes and SRGonCRS is a scalable
version of RGonCRS which generates reducts for very large tables. Propositions and
proofs are presented in this paper. Empirical tests are shown for RGonCRS using simulated
information tables and UCI benchmark datasets and a preliminary test is generated
for SRGonCRS. Results are compared to the well-known rough set software ¡V Rough Set
Exploration System (RSES).
Received February 14, 2006; revised May 19, 2006; accepted August 8, 2006.
Communicated by Tei-Wei Kuo.