The superiority of three-way decisions in probabilistic rough set models

  • Authors:
  • Yiyu Yao

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

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

Three-way decisions provide a means for trading off different types of classification error in order to obtain a minimum cost ternary classifier. This paper compares probabilistic three-way decisions, probabilistic two-way decisions, and qualitative three-way decisions of the standard rough set model. It is shown that, under certain conditions when considering the costs of different types of miss-classifications, probabilistic three-way decisions are superior to the other two.