A Critique on the Consistency Ratios of Some Selected Articles Regarding Fuzzy AHP and Sustainability

Consistency ratio (CR) is a very important indicator for achieving the reliability of an individual’s pairwise comparisons in Analytic Hierarchy Process (AHP). Although the applications of fuzzy AHP need this kind of CR results as well, only a few of studies include these results. The most accepted method to calculate CR for fuzzy pairwise comparison matrices (PCMs) is to transform fuzzy numbers to crisp versions and to proceed as in the ordinary CR calculations of AHP. Triangular fuzzy numbers (TFNs) are usually used to present linguistic terms of an individual’s pairwise comparisons. In this research, CRs of 242 PCMs presented with TFNs, found in 39 articles, have been calculated based on four widely used defuzzification methods. The aim of this research is to find out if the PCMs of some available articles regarding sustainability issues in literature are reliable. After CR calculations of those PCMs, it has been found that some of them are reliable while many others are not. After reviewing these findings, researchers in fuzzy AHP field are expected to give much attention to those CR issues and try to obtain PCMs that are more reliable