Journal
OR SPECTRUM
Volume 38, Issue 3, Pages 769-787Publisher
SPRINGER
DOI: 10.1007/s00291-015-0417-8
Keywords
Decision analysis; Verbal decision; Linguistic modeling; Transitivity; AHP
Categories
Funding
- National Natural Science Foundation of China [71401185, 71431008]
- MOE (Ministry of Education in China) Project of Humanities and Social Sciences [13YJC630200]
- China Postdoctoral Science Foundation [2015T80869, 2014M552135]
- Hunan Provincial Natural Science Foundation of China [14JJ4050]
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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.
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