Acceptable consistency of aggregated comparison matrices in analytic hierarchy process
作者： Petra Grošelj , Lidija Zadnik Stirn
DOI: 10.1016/J.EJOR.2012.06.016
关键词: Special case 、 Analytic hierarchy process 、 Group decision-making 、 Weighted geometric mean 、 Consistency (statistics) 、 Judgement 、 Data mining 、 Mathematical optimization 、 Decision problem 、 Mathematics 、 Matrix (mathematics)
摘要: Abstract The analytic hierarchy process is a method for solving multiple criteria decision problems, as well group making. weighted geometric mean appropriate when aggregation of individual judgements used. This paper presents new proof which confirms the property that if comparison matrices all makers are acceptable consistency, then complex judgement matrix (WGMCJM) also consistency. was presented and first proved by Xu (2000) , but Lin et al. (2008) rejected proof. We discuss under what conditions WGMCJM consistency not For this case we determine sufficient condition to be provide numerical examples. special two with 3 × 3 find out some additional
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