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The superiority of three-way decisions in probabilistic rough set models. (English) Zbl 1211.68442
Summary: 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.

MSC:
68T37 Reasoning under uncertainty in the context of artificial intelligence
62H30 Classification and discrimination; cluster analysis (statistical aspects)
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