Preference-approval structures in group decision making: Axiomatic distance and aggregation

Yucheng Dong, Yao Li*, Ying He, Xia Chen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Preference-approval structure combines the preference information of both ranking and approval, which extends the ordinal preference model by incorporating two categories of choice alternatives, that is, acceptable (good) and unacceptable (bad), in the preference modeling process. In this study, we present some axioms that imply the existence of a unique distance function of preference-approval structures. Based on theoretical analysis and simulation experiments, we further study a preferences aggregation model in the group decision-making context based on the proposed axiomatic distance function. In this model, the group preference is defined as a preference-approval structure that minimizes the sum of its distances to all preference-approval structures of individuals in the group under consideration. Particularly, we show that the group preference defined by the axiomatic distance-based aggregation model has close relationships with the simple majority rule and Cook and Seiford's ranking.

Original languageEnglish
JournalDecision Analysis
Issue number4
Pages (from-to)273-295
Publication statusPublished - Dec 2021


  • Preference-approval structure, group decision making, axiomatic distance, consensus reaching
  • Aggregation
  • Axiomatic distance
  • Group decision making
  • Preference-approval structure


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