Rough approximation quality revisited
作者:
摘要
In rough set theory, the approximation quality γ is the traditional measure to evaluate the classification success of attributes in terms of a numerical evaluation of the dependency properties generated by these attributes. In this paper we re-interpret the classical γ in terms of a classic measure based on sets, the Marczewski–Steinhaus metric, and also in terms of “proportional reduction of errors” (PRE) measures. We also exhibit infinitely many possibilities to define γ-like statistics which are meaningful in situations different from the classical one, and provide tools to ascertain the statistical significance of the proposed measures, which are valid for any kind of sample.
论文关键词:Rough sets,Approximation quality,PRE measures,MZ metric,Empirical evaluation
论文评审过程:Received 21 December 2000, Revised 14 May 2001, Available online 6 September 2001.
论文官网地址:https://doi.org/10.1016/S0004-3702(01)00147-3