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

Wu-E Yang (), Chao-Qun Ma, Zhi-Qiu Han () and Wen-Jun Chen
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Wu-E Yang: Hunan University
Chao-Qun Ma: Hunan University
Zhi-Qiu Han: Central South University
Wen-Jun Chen: Central South University of Forestry and Technology

OR Spectrum: Quantitative Approaches in Management, 2016, vol. 38, issue 3, No 10, 769-787

Abstract: Abstract 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.

Keywords: Decision analysis; Verbal decision; Linguistic modeling; Transitivity; AHP (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s00291-015-0417-8

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