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中文摘要：
本文基于优势关系下的粗糙集理论，通过对原有排序模型的改进，提出新的排序模型，并分析优势矩阵和综合优势度满足的一些性质。在此基础上首次提出排序约简的概念，并根据保序性的强弱程度定义了4种不同级别的保序性约简，给出了一个基本的计算排序约简的算法流程，最后通过算例说明排序模型和约简理论的可行性。
英文摘要：
Based on the dominance relation rough sets theory,a new ranking model is proposed through improving the original ranking model ,and some properties that the dominance matrix and comprehensive dominance degree satisfied are analyzed. Then, the concept of rank reduction is firstly proposed in this paper, and four kinds of order-preserving reductions in different levels are defined according to the strength of the order-preserving degree ,then a basic algorithm is given for calculating ranking reduction. Finally,two examples are used to show the feasibility of the ranking model and ranking reduction theo-ry.
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