Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 17, Issue 1, Pages 49-73Publisher
SPRINGER
DOI: 10.1007/s10700-016-9262-8
Keywords
Decision making; Triangular fuzzy reciprocal preference relation; Additive consistency; Goal programming model
Funding
- State Key Program of National Natural Science of China [71431006]
- Projects of Major International Cooperation NSFC [71210003]
- National Natural Science Foundation of China [71571192, 71501189, 71201089, 71271217, 51204100]
- Hunan Province Foundation for Distinguished Young Scholars of China [2016JJ1024]
- Postdoctoral Science Special Foundation of China [2015T80901]
- Innovation-Driven Planning Foundation of Central South University [2016CXS027]
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To express uncertain information in decision making, triangular fuzzy reciprocal preference relations (TFRPRs) might be adopted by decision makers. Considering consistency of this type of preference relations, this paper defines a new additive consistency concept, which can be seen as an extension of that for reciprocal preference relations. Then, a simple method to calculate the triangular fuzzy priority weight vector is introduced. When TFRPRs are inconsistent, a linear goal programming framework to derive the completely additive consistent TFRPRs is provided. Meanwhile, an improved linear goal programming model is constructed to estimate the missing values in an incomplete TFRPR that can address the situation where ignored objects exist. After that, an algorithm for decision making with TFRPRs is presented. Finally, numerical examples and comparison analysis are offered.
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