Characteristic Sets and Generalized Maximal Consistent Blocks in Mining Incomplete Data

Abstract

Mining incomplete data using approximations based on characteristic sets is a well-established technique. It is applicable to incomplete data sets with a few interpretations of missing attribute values, e.g., lost values and “do not care” conditions. Typically, probabilistic approximations are used in the process. On the other hand, maximal consistent blocks were introduced for incomplete data sets with only “do not care” conditions, using only lower and upper approximations. In this paper we introduce an extension of the maximal consistent blocks to incomplete data sets with any interpretation of missing attribute values and with probabilistic approximations. Additionally, we present results of experiments on mining incomplete data using both characteristic sets and maximal consistent blocks, using lost values and “do not care” conditions. We show that there is a small difference in quality of rule sets induced either way. However, characteristic sets can be computed in polynomial time while computing maximal consistent blocks is associated with exponential time complexity.