提出了广义决策的不可分辨关系及其不可分辨类、联合决策相容矩阵等概念以及不完备决策系统中基于联合决策相容矩阵的约简和规则提取的快速矩阵算法。将条件属性相容矩阵和决策属性分配决策矩阵合并到一个矩阵中,大大减少了矩阵生成过程的比较次数,有效的提高了算法的效率。通过一个实例,说明了算法的执行过程;算法复杂度分析以及相应的对比实验,进一步说明了该方法的有效性。 This paper presents the concepts of indivisible relations of generalized decision-making and their classifications of insecure classes and the joint decision-making matrices, as well as the fast matrix algorithm of reduction and rule extraction based on the joint decision-making compatible matrix in the incomplete decision-making system. Combining the conditional attribute compatibility matrix and the decision attribute allocation decision matrix into one matrix greatly reduces the number of times of matrix generation and greatly improves the efficiency of the algorithm. An example is given to illustrate the execution of the algorithm. The analysis of the algorithm complexity and the corresponding comparison experiment further illustrate the effectiveness of the method.