中文摘要：

针对综合评判方法中常用的层次分析法。在分析常见逆序问题的基础上。提出层次分析法的递结算子的概念。给出满足严格保序性的5个基本条件．对常见递结算子（权重综合评判算子）的保序性进行研究，并证明加权乘积法是符合所有5种保序条件的算子，为综合评价方法中递结算子的合理选择提供了依据．

英文摘要：

For studying the inversed-order problem of the analytic hierarchy process （AHP） commonly used, the definition of a functional operator and five essential keep-order requirements are presented. Furthermore, keep-order characteristics of frequently used functional operators （weighted operators for synthesizing judgments） is researched. It is proved that weighted product technique is one that meets all five keep-order requirements. The research supplies references for the selection of functional operators in synthesizing judgments.