Selective Augmented Bayesian Network Classifiers Based on Rough Set Theory

The naive Bayes classifier is widely used in interactive appli- cations due to its computational efficiency, direct theoretical base, and competitive accuracy. However, its attribute independence assumption can result in sub-optimal accuracy. A number of techniques have explored simple relaxations of the attribute independence assumption in order to increase accuracy. TAN is a state-of-the-art extension of naive Bayes, that can express limited forms of inter-dependence among attributes. Rough sets theory provides tools for expressing inexact or partial depen- dencies within dataset. In this paper, we present a variant of TAN using rough sets theory and compare their tree classifier structures, which can be thought of as a selective restricted trees Bayesian classifier. It delivers lower error than both pre-existing TAN-based classifiers, with substan- tially less computation than is required by the SuperParent approach.