关键词: 属性约简, 关系决策系统, 分布约简, 分辨矩阵, 区间值

Abstract: Combining the discernibility matrix and the recently proposed fast algorithm, this paper studies the reduction algorithm for relational system and the distributed reduction algorithm for relational decision system. Research shows that the distributed reduction of the relational decision system is actually the reduction of the relation system when the decision attribute is self-reflexive. Additionally, interval-valued fuzzy ordered relational decision system is as a special case of the relational decision system, whose all reduction results can be obtained through the distributed reduction algorithm for relational decision system which simplifies the original reduction algorithm.

Key words: attribute reduction, relation decision system, distribution reduction, discernibility matrix, interval value