在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。
A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.
本文证明了成对比较矩阵在相容性矩阵集合中的最佳逼近的存在性和不唯一性。
The existence of a best approximation of the pairwise comparison matrix from the set of consistent matrices is proved.
利用对数意义下的相容性指标提出了一种基于指数标度下判断矩阵的一致性调整方法，并通过算例表明该法是切实可行的。
A method is proposed for improving the consistency of inconsistent judgment matrix based on exponential scale, by the value of compatibility index of logarithm.
本文首先证明了成对比较矩阵在相容性矩阵集合中的最佳逼近的存在性和不唯一性。
The existence of a best approximation to the pairwise comparison matrix from the set of consistent matrices is proved.
本文讨论以矩阵为变量的线性方程组，给出相容性的充要条件。
This paper deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.
提出了一种适于相容和不相容两种形式信息系统差别矩阵的统一构造方法，证明了用该差别矩阵求核的正确性。
In this paper, a construction method of discernibility matrix for both consistent information systems and inconsistent information systems is presented.
判断矩阵的相容性检验及修正是AHP模型应用于群组决策排序的关键步骤。
Compatibility Improvement is a key step in AHP applied in group decision making.
在相容性概念的基础上，研究了加权几何平均组合判断矩阵的相容性以及相容性和一致性的关系。
Based on the concept of compatibility, the compatibility and relations between compatibility and consistency of weighted geometric average combination judgement matrix are studied.
在不完备信息系统基于差别矩阵的属性约简算法中，相容类和最大相容类中的对象具有不确定性。
In incomplete information system, objects of the tolerance class and maximal consistent block in the attribute reduction algorithm based on discernibility matrix are uncertain.
针对这一现状，提出了基于可能满意度的残缺矩阵相容性修正及排序新算法。
Owing to the shortcoming of existing methods, we put forward a new algorithm based on possibility-satisfiability degree.
判断矩阵的相容性检验及修正是AHP模型应用于群组决策排序的关键步骤。
With the extensive application of AHP in group decision making, some defects of it emerged.
判断矩阵的相容性检验及修正是AHP模型应用于群组决策排序的关键步骤。
With the extensive application of AHP in group decision making, some defects of it emerged.
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