Discretization Problem for Rough Sets Methods

  • Authors:
  • Hung Son Nguyen

  • Affiliations:
  • -

  • Venue:
  • RSCTC '98 Proceedings of the First International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 1998

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Abstract

We study the relationship between reduct problem in Rough Sets theory and the problem of real value attribute discretization. We consider the problem of searching for a minimal set of cuts on attribute domains that preserves discernibility of objects with respect to any chosen attributes subset of cardinality s (where s is a parameter given by a user). Such a discretization procedure assures that one can keep all reducts consisting of at least s attributes. We show that this optimization problem is NP-hard and it is interesting to find efficient heuristics for solving this problem.