摘要
层次分析法是一种重要的多属性决策方法,如何判断矩阵的构造及其给出合理的排序方法是其研究的重要课题.在现有文献的基础上给出了改进的判断矩阵排序的优化方法.该方法在欧氏距离的意义下优于加权的线性规划方法和几何最小一乘规划方法,最后也探讨了改进的判断矩阵排序的优化方法的简化模型和实例.
Analytic hierarchy process is an important multi-attribute decision-making method. How to construct comparison matrix and give them a reasonable ranking method is also an important topic. Based on existing literature, an improved optimal priority method of comparison matrix is proposed. This method is superior both to a weighted linear programming method and to the geometric least absolute deviation method under the criterion of Euclidean distance. Finally a simplified model and an example are discussed in this paper.
出处
《合肥学院学报（自然科学版）》
2008年第4期18-22,共5页
Journal of Hefei University :Natural Sciences
基金
安徽省优秀青年科技基金资助项目(08040106835)
安徽省自然科学基金项目(070416245)
安徽省教育厅省级教学研究项目(2007jyxm177)资助
关键词
决策分析
层次分析法
判断矩阵
排序
线性规划
decision making
analytic hierarchy process
comparison judgment matrix
priority method
linear programming
