Algorithm for computing all the shortest reducts based on a new pruning strategy

In this paper, we introduce an algorithm for computing all the shortest reducts in a decision system. The proposed algorithm is based on determining the size of the shortest reducts using a small super-reduct and some new pruning methods. Once the size of the shortest reduct is determined, all other reducts of the same size are found applying the new pruning methods. The results of our experiments using several synthetic and real-world decision systems show that the proposed algorithm is, in most cases, faster than the state of the art algorithms for computing all the shortest reducts reported in the literature.