中文摘要：

首先定义了不完备决策形式背景,在其不完备的子条件形式背景和子决策形式背景上,提出了双子集内涵概念的构建方法及概念格的生成算法,给出了不完备决策形式背景基于双子集内涵概念的属性协调集与属性约简的判定方法。

英文摘要：

We defined the incomplete decision formal context, and proposed the construction method of concept with double subset intension and the generation algorithm of concept lattice in incomplete sub-condition formal context and sub-decision formal context~ Further, the judgment theorems of consistent sets and attribute reduction based on the double subset intension concept were given in incomplete decision formal context.