A fuzzy programming method for deriving priorities in the analytic hierarchy process
A fuzzy programming method for deriving priorities in the analytic hierarchy process
复制标题
DOI：
10.1057/palgrave.jors.2600899
复制
发表时间：
2000-03
影响因子：
3.6
通讯作者：
L. Mikhailov
中科院分区：
文献类型：
--
作者：
L. Mikhailov
从成对比较矩阵估计优先级是层次分析法 (AHP) 的主要组成部分。可以使用不同的技术从这些矩阵导出优先级向量，最常用的是特征向量法 (EVM) 和对数最小二乘法 (LLSM)。本文提出了一种新的模糊规划方法（FPM），该方法基于优先级排序过程的几何表示。该方法将优先级问题转化为模糊规划问题，可以作为标准线性规划轻松求解。将 FPM 与现有的主要优先级排序方法进行比较，以评估其性能。结果表明，它具有一些有吸引力的特性，可以用作已知优先级排序方法的替代方法，特别是当决策者的偏好严重不一致时。
The estimation of the priorities from pairwise comparison matrices is the major constituent of the Analytic Hierarchy Process (AHP). The priority vector can be derived from these matrices using different techniques, as the most commonly used are the Eigenvector Method (EVM) and the Logarithmic Least Squares Method (LLSM). In this paper a new Fuzzy Programming Method (FPM) is proposed, based on geometrical representation of the prioritisation process. This method transforms the prioritisation problem into a fuzzy programming problem that can easily be solved as a standard linear programme. The FPM is compared with the main existing prioritisation methods in order to evaluate its performance. It is shown that it possesses some attractive properties and could be used as an alternative to the known prioritisation methods, especially when the preferences of the decision-maker are strongly inconsistent.