Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations

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• 作者：Wu-E Yang ; Chao-Qun Ma ; Zhi-Qiu Han ; Wen-Jun Chen
• 刊名：OR Spectrum
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：38
• 期：3
• 页码：769-787
• 全文大小：679 KB
• 刊物主题：Operations Research/Decision Theory; Calculus of Variations and Optimal Control; Optimization; Business/Management Science, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1436-6304
• 卷排序：38

文摘

Linguistic pairwise comparison matrices for decision-making need to be (strongly) order-consistent, which means the judgments should be (strongly) transitive. We introduce the equivalent conditions of (strong) transitivity by using route matrices and digraphs and develop an adjustment procedure to help decision makers correcting the inconsistency. The conclusion can extend to other ordinal-scaled or numerical comparison matrices as well.KeywordsDecision analysisVerbal decisionLinguistic modelingTransitivityAHP