Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 16, Issue 4, Pages 429-447Publisher
SPRINGER
DOI: 10.1007/s10700-016-9254-8
Keywords
Preference relations; Self-confidence levels; Collective preference vector; Linear programming model
Funding
- NSF of China [71171160, 71571124]
- Sichuan University [skqy201606]
- FEDER funds [TIN2013-40658-P, TIN2016-75850-R]
- Andalusian Excellence Project [TIC-5991]
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Preference relations are very useful to express decision makers' preferences over alternatives in the process of group decision-making. However, the multiple self-confidence levels are not considered in existing preference relations. In this study, we define the preference relation with self-confidence by taking multiple self-confidence levels into consideration, and we call it the preference relation with self-confidence. Furthermore, we present a two-stage linear programming model for estimating the collective preference vector for the group decision-making based on heterogeneous preference relations with self-confidence. Finally, numerical examples are used to illustrate the two-stage linear programming model, and a comparative analysis is carried out to show how self-confidence levels influence on the group decision-making results.
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