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On the extent analysis method for fuzzy AHP and its applications

机译:模糊层次分析法的程度分析方法及其应用

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摘要

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.
机译:在Chang的论文[D.Y. Chang,模糊分析AHP的范围分析方法的应用,欧洲运筹学杂志95(1996)649-655],提出了一种模糊分析AHP的范围分析方法,以从三角模糊比较矩阵中获得清晰的优先级向量。发现范围分析方法不能从模糊比较矩阵估计真实权重,并且导致了文献中相当多的错误应用。在本文中,我们通过示例表明,由范围分析方法确定的优先级向量不代表决策标准或备选方案的相对重要性,并且将范围分析方法错误应用于模糊AHP问题可能会导致错误的决策。做出一些有用的决策信息,例如决策标准和模糊比较矩阵。我们展示了这些问题,以避免将来出现任何可能的误用。 (C)2007 Elsevier B.V.保留所有权利。

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