关键词: 粗糙集, 决策最大分布二元关系, 属性约简, 可辨识矩阵

Abstract: In order to get the maximum distribution attribute reduction rapidly in inconsistent decision information systems, a new decision maximum distribution binary relation was defined after analyzing the existing methods. And the judgment theorems for judging maximum distribution consistent sets were obtained, from which we can provide a new maximum distribution attribute reduction algorithm in inconsistent decision information systems. Moreover, the characterization of core attributes, relative necessary attributes, unnecessary attributes were discussed based on decision maximum distribution binary relation. Finally, a case study illustrates the validity of the method.

Key words: rough set, decision maximum distribution binary relation, attribute reduction, discernable matrix