社会选择函数集结中的对影判别和性质  

The judgment and characteristic of the back projection of social choice function aggregation

作　　者：高晓波 卢美华[2] GAO Xiaobo;LU Meihua(College of Computer and Information Engineering,Jiangxi Agricultural University,Nanchang 330045,China;School of Science,Jiangxi University of Technology,Nanchang 330022,China)

机构地区：[1]江西农业大学计算机与信息工程学院,江西南昌330045 [2]江西科技学院理科部,江西南昌330022

出　　处：《南昌大学学报（理科版）》2021年第2期107-110,115,共5页Journal of Nanchang University(Natural Science)

基　　金：国家社科基金资助项目(17BJL025)。

摘　　要：考虑社会选择函数集结中的对影判别和性质。通过严格形式化刻画,给出了弱序偏好的强序化,强序化为分影偏好,给出了分影偏好定义,分析了其基本性质,并考虑广为关注的孔多塞循环,联系孔多塞循环和轮换,给出了一般意义上的分影的判别。论文形成了一个由定义、性质和判别诸定理组成的完整的框架,并具有框架的可拓展性。This paper considers the judgment and characteristic of the back projection of social choice function aggregation.Through a rigorous formal characterization,the strong ordering of the weak order preference is given,and the strong ordering is turned into the split preference.Also,the definition of the split preference is given,with its basic properties being analyzed.Furthermore,the Condorcet cycle,which is widely concerned,is considered.In connection with Condorcet’s cycle and rotation,the judgment of the division of shadows in the general sense is given.The paper builds a complete framework composed of definitions,properties and discriminant theorems,and has the scalability of the framework.

关 键 词：集结 对影 轮换和孔多塞循环 

分 类 号：O223[理学—运筹学与控制论]