“…A decision rule is an implication in which the premise and conclusion are concepts of conditional context and decision context respectively. The criteria of attribute reduction for formal decision contexts can be roughly categorized into two groups: to preserve a kind of consistency [15,27,28,29], and to preserve a specific kind of decision rules [30,31,32,33,34] of Fdcs. Qin et al [35] made a comparative research on attribute reduction of formal context and Fdc under the framework of local reduction.…”