Group decision-making based on heterogeneous preference relations with self-confidence



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.


Preference relations Self-confidence levels Collective preference vector Linear programming model 


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Wenqi Liu
    • 1
  • Yucheng Dong
    • 1
  • Francisco Chiclana
    • 2
  • Francisco Javier Cabrerizo
    • 3
  • Enrique Herrera-Viedma
    • 3
  1. 1.Business SchoolSichuan UniversityChengduChina
  2. 2.Faculty of TechnologyDe Montfort UniversityLeicesterUK
  3. 3.DECSAIUniversity of GranadaGranadaSpain

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