Fuzzy Optimization and Decision Making

, Volume 16, Issue 4, pp 429–447 | Cite as

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

  • Wenqi Liu
  • Yucheng Dong
  • Francisco Chiclana
  • Francisco Javier Cabrerizo
  • Enrique Herrera-Viedma


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 



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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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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