Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 49, Issue 3, Pages 567-581Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2017.1411988
Keywords
Decision-making; triangular fuzzy reciprocal preference relation; additive consistency; programming model
Categories
Funding
- National Natural Science Foundation of China [71571192, 71671188, 71501189]
- Innovation-Driven Planning Foundation of Central South University [2016CXS027]
- State Key Program of National Natural Science of China [71431006]
- Projects of Major International Cooperation NSFC [71210003]
- Hunan Province Foundation for Distinguished Young Scholars of China [2016JJ1024]
- China Postdoctoral Science Foundation [2016M602170]
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Triangular fuzzy reciprocal preference relations (TFRPRs) are powerful tools to denoting decision-makers' fuzzy judgments, which permit the decision-makers to apply triangular fuzzy ratio rather than real numbers to express their judgements. Consistency analysis is one of the most crucial issues in preference relations that can guarantee the reasonable ranking order. However, all previous consistency concepts cannot well address this type of preference relations. Based on the operational laws on triangular fuzzy numbers, this paper introduces an additive consistency concept for TFRPRs by using quasi TFRPRs, which can be seen as a natural extension of the crisp case. Using this consistency concept, models to judging the additive consistency of TFRPRs and to estimating missing values in complete TFRPRs are constructed. Then, an algorithm to decision-making with TFRPRs is developed. Finally, two numerical examples are offered to illustrate the application of the proposed procedure, and comparison analysis is performed.
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