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Preference–Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation

Yucheng Dong (ycdong@scu.edu.cn), Yao Li (liyao@stu.scu.edu.cn), Ying He (yinghe@sam.sdu.dk) and Xia Chen (chenxia0713@scu.edu.cn)
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Yucheng Dong: Center for Network Big Data and Decision-Making, Business School, Sichuan University, Chengdu 610065, China
Yao Li: Center for Network Big Data and Decision-Making, Business School, Sichuan University, Chengdu 610065, China
Ying He: Department of Business and Management, University of Southern Denmark, Odense 5230, Denmark
Xia Chen: Center for Network Big Data and Decision-Making, Business School, Sichuan University, Chengdu 610065, China

Decision Analysis, 2021, vol. 18, issue 4, 273-295

Abstract: 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.

Keywords: preference-approval structure; group decision making; axiomatic distance; aggregation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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