Searching for Reductive Attributes in Decision Tables

  • Long Giang Nguyen
  • Hung Son Nguyen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8988)


Most decision support systems based on rough set theory are related to the minimal reduct calculation problem, which is NP-hard. This paper investigates the problem of searching for the set of useful attributes that occur in at least one reduct. By complement, this problem is equivalent to searching for the set of redundant attributes, i.e. the attributes that do not occur in any reducts of the given decision table. We show that the considered problem is equivalent to a Sperner system for relational data base system and prove that it can be solved in polynomial time. On the base of these theoretical results, we also propose two different algorithms for elimination of redundant attributes in decision tables.


Rough sets Reducts Relational database Minimal keys Sperner system 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Institute of Information TechnologyVietnamese Academy of Science and TechnologyCau Giay DistrictVietnam
  2. 2.Institute of MathematicsThe University of WarsawWarsawPoland

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