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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This work was supported in part by NSF of China under Grants Nos. 71171160 and 71571124, the Grant (No. skqy201606) from Sichuan University, FEDER funds under Grants TIN2013-40658-P and TIN2016-75850-R, and the Andalusian Excellence Project Grant TIC-5991.
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Liu, W., Dong, Y., Chiclana, F. et al. Group decision-making based on heterogeneous preference relations with self-confidence. Fuzzy Optim Decis Making 16, 429–447 (2017). https://doi.org/10.1007/s10700-016-9254-8
- Preference relations
- Self-confidence levels
- Collective preference vector
- Linear programming model