基于区间判断的AHP理论与应用研究

【作者】 李晓萍；

【导师】 程龙生；

【作者基本信息】 南京理工大学 ， 管理科学与工程， 2004， 硕士

【摘要】 层次分析法是一种定性与定量相结合的多准则决策方法，它的关键步骤在于构造判断矩阵以及从判断矩阵中求得被比较元素的排序权重。在不确定情况下，决策者倾向于用区间表达自己的偏好，将区间判断矩阵作为两两比较的判断矩阵。到目前为止，基于区间判断矩阵的排序算法已有二十多种，并且新的排序算法还在不断地提出。 本文总结了目前区间判断矩阵的排序算法，并将这些排序算法分为：近似算法和优化算法两大类进行研究。对算法的产生背景和基本思想进行了归纳，并从理论和应用方面对算法进行了比较研究。本文通过对区域和区域经济概念的研究，构建了区域经济发展水平的评价指标体系，并选定按区间特征根法计算排序的层次分析法，对江苏省13个地级市的经济发展水平进行了综合评价。更多还原

【Abstract】 The Analytic Hierarchy Process (AHP) is a multi-criteria decision-making method that combines qualitative analysis with quantitative analysis. Its key step is to establish judgment matrices and get priority vectors for objects to be compared from them. When a decision maker experiences uncertainty, he prefers to express each judgment with intervals of numerical value and express pairwise comparisons matrix with interval judgment matrix. Up to now, as to priority algorithms of interval judgment matrix, it has been developed twenty kinds. And many new algorithms are still brought forward continually.The paper sums up the existing priority methods of interval judgment matrix and classifies them into two categories: approximate algorithm and optimization algorithm. And the paper compares synthetically algorithms in theory and application. By investigating concepts of region and regional economy, the paper establishes the regional economy index system, and then uses AHP to compare economy of thirteen cities in Jiangsu province, IEM is adopted in computation of the priority of interval judgment matrices.更多还原