On the extent analysis method for fuzzy AHP and its applications
On the extent analysis method for fuzzy AHP and its applications
复制标题
DOI：
10.1016/j.ejor.2007.01.050
复制
发表时间：
2008-04-16
影响因子：
6.4
通讯作者：
Hua, Zhongsheng
中科院分区：
文献类型：
--
作者：
Wang, Ying-Ming;Luo, Ying;Hua, Zhongsheng
在Chang的一篇论文中[D.Y.]Chang，模糊层次分析法在模糊层次分析法中的应用，European Journal of Operational Research 95(1996) 649-655]，提出了一种模糊层次分析法的度分析方法，从三角模糊比较矩阵中获得清晰的优先向量。研究发现，程度分析法不能从模糊比较矩阵中估计出真实权重，导致了文献中相当多的误用。本文通过实例说明，用程度分析法确定的优先级向量并不能代表决策准则或备选方案的相对重要性，并且在模糊层次分析法中误用程度分析法可能会导致错误的决策，导致决策准则和模糊比较矩阵等有用的决策信息没有得到考虑。我们展示这些问题是为了避免将来出现任何可能的错误应用。(C) 2007 Elsevier B.V.版权所有
In a paper by Chang [D.Y. Chang, Applications of the extent analysis method on fuzzy AHP, European Journal of Operational Research 95 (1996) 649-655], an extent analysis method on fuzzy AHP was proposed to obtain a crisp priority vector from a triangular fuzzy comparison matrix. It is found that the extent analysis method cannot estimate the true weights from a fuzzy comparison matrix and has led to quite a number of misapplications in the literature. In this paper, we show by examples that the priority vectors determined by the extent analysis method do not represent the relative importance of decision criteria or alternatives and that the misapplication of the extent analysis method to fuzzy AHP problems may lead to a wrong decision to be made and some useful decision information such as decision criteria and fuzzy comparison matrices not to be considered. We show these problems to avoid any possible misapplications in the future. (C) 2007 Elsevier B.V. All rights reserved.