Probabilistic Dependencies in Linear Hierarchies of Decision Tables

  • Authors:
  • Wojciech Ziarko

  • Affiliations:
  • Department of Computer Science, University of Regina, Regina, Canada S4S 0A2

  • Venue:
  • Transactions on Rough Sets IX
  • Year:
  • 2008

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Abstract

The article is a study of probabilistic dependencies between attribute-defined partitions of a universe in hierarchies of probabilistic decision tables. The dependencies are expressed through two measures: the probabilistic generalization of the Pawlak's measure of the dependency between attributes and the expected certainty gain measure introduced by the author. The expected certainty gain measure reflects the subtle grades of probabilistic dependence of events. Both dependency measures are developed and it is shown how they can be extended from flat decision tables to dependencies existing in hierarchical structures of decision tables.