“…In recent years, some new attribute reduction algorithms are proposed. These methods are mainly based on information granularity [18], [19], the similarity degree [10], incremental mechanism [20], positive approximation [9], the dominance relation [12], [21], the graph theory [22], the Map Reduce [23], the information entropy theory [24], [25], [26], [27],the discernibility matrix [28], the uncertainty measure [29], the various intelligent optimization algorithm (such as genetic algorithm [30], particle swarm [31], ant colony [32], the binary bat algorithm [33], the artificial bee colony [34], [35]), and so on. Most of the algorithms are heuristic [8], [10], [18], [36], [37], [38], which is regarded as the best method to get the minimum reduction set [39].…”