Some algorithms related to consistent decision table

Quang Minh Hoang, Vu Duc Thi, Nguyen Ngoc San
Author affiliations

Authors

  • Quang Minh Hoang Institute of Information Technology
  • Vu Duc Thi
  • Nguyen Ngoc San

DOI:

https://doi.org/10.15625/1813-9663/33/2/9281

Keywords:

object reduct, attribute reduct, rough set theory, decision table, decision rules

Abstract

Rough set theory is useful mathematical tool developed to deal with vagueness and uncertainty. As an important concept of rough set theory, an attribute reduct is a subset of attributes that are jointly sufficient and individually necessary for preserving a particular property of the given information table. Rough set theory is also the most popular for generating decision rules from decision table. In this paper, we propose an algorithm finding object reduct of consistent decsion table. On the other hand, we also show an algorithm to find some attribute reducts and the correctness of our algorithms is proof-theoretically. These our algorithms have polynomial time complexity. Our finding object reduct helps other algorithms of finding attribute reducts become more effectively, especially as working with huge consistent decision table.

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References

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Pawlak, Z., Grzymala-Busse, J., Slowinski, R., and Ziarko, W. (1995). Rough sets. Communications of the ACM, 38(11), 88--95.

Skowron, A. and Rauszer, C. The discernibility matrices and functions in information systems. In Intelligent Decision Support, pages 331--362. Springer (1992)

Thi, V. D. The minimal keys and antikeys. Acta Cybernetica, 7(4), 361--371 (1986)

Thi, V. D. and Giang, N. L. A method to construct decision table from relation scheme. Cybernetics and Information Technologies, 11(3), 32--41 (2011)

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Published

29-12-2017

How to Cite

[1]
Q. M. Hoang, V. D. Thi, and N. N. San, “Some algorithms related to consistent decision table”, JCC, vol. 33, no. 2, p. 131–142, Dec. 2017.

Issue

Section

Computer Science

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