Preference-Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation
Preference-Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation
复制标题
群体决策中的偏好-批准结构：公理距离和聚合
DOI：
10.1287/deca.2021.0430
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发表时间：
2021-09-27
影响因子：
1.9
通讯作者：
Chen, Xia
中科院分区：
文献类型：
--
作者：
Dong, Yucheng;Li, Yao;Chen, Xia
偏好-认可结构结合了排序和认可的偏好信息，扩展了顺序偏好模型，在偏好建模过程中加入了可接受（好）和不可接受（坏）两类选择方案。在这项研究中，我们提出了一些公理，这意味着存在一个独特的距离函数的偏好批准结构。在理论分析和仿真实验的基础上，进一步研究了一种基于公理距离函数的群决策偏好集结模型。在这个模型中，群体偏好被定义为一个偏好批准结构，最大限度地减少其距离的总和，在考虑中的群体中的所有个人的偏好批准结构。特别是，我们表明，基于公理距离的聚集模型定义的群体偏好与简单多数规则和库克和Seiford的排名有密切的关系。
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.