Abstract: Based on the notions of bijective soft set and bijective soft decision system proposed by Gong K and so on, this article puts forward the method based on discernibility matrix to find the reductions of bijective soft decision systems. Using some natures of the discernibility matrix, this paper applies the method of finding reductions in rough set theory to the bijective soft decision system, which not only simplifies the process of finding reductions, but also generalizes the method in rough set theory.

Key words: bijective soft set, bijective soft decision system, discernibility matrix, reduction

摘要： 在Gong K等人给出双射软集和双射软决策系统概念的基础上，提出基于差别矩阵的求双射软决策系统约简的方法。利用差别矩阵的一些性质，把粗糙集理论中的约简方法应用到双射软决策系统中，既简化了求约简的过程，又推广了粗糙集理论中的约简方法。

关键词: 双射软集, 双射软决策系统, 差别矩阵, 约简