Minimizing Size of Decision Trees for Multi-label Decision Tables

Abstract—We used decision tree as a model to discover the knowledge from multi-label decision tables where each row has a set of decisions attached to it and our goal is to find out one arbitrary decision from the set of decisions attached to a row. The size of the decision tree can be small as well as very large. We study here different greedy as well as dynamic programming algorithms to minimize the size of the decision trees. When we compare the optimal result from dynamic programming algorithm, we found some greedy algorithms produce results which are close to the optimal result for the minimization of number of nodes (at most 18.92 % difference), number of nonterminal nodes (at most 20.76 % difference), and number of terminal nodes (at most 18.71 % difference). I