多数满意偏好规则的充分必要条件

运筹学学报 ›› 2014, Vol. 18 ›› Issue (4): 78-84.

多数满意偏好规则的充分必要条件

胡毓达^1,*

1. 上海交通大学数学系，上海 200240

收稿日期:2014-03-10 出版日期:2014-12-15 发布日期:2014-12-15
通讯作者: 胡毓达 E-mail:huyuda@hotmail.com

Necessary and sufficient conditions for majority satisfaction preference rule

HU Yuda^1,*

1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

Received:2014-03-10 Online:2014-12-15 Published:2014-12-15

摘要/Abstract

摘要： 研究基于满意选择的群体决策的一个基本数学理论问题. 给出并证明了群体在方案集上的任一群体满意偏好映射是多数满意偏好规则的充分必要条件.

关键词: 群体决策, 满意指标, 偏好关系, 多数满意偏好规则, 充分必要条件

Abstract: This paper studies a basic mathematical theoretic problem of group decision making based on satisfaction choice. We prove that necessary and sufficient conditions for any group satisfaction preference mapping are majority satisfaction preference rule of the group on alternative set.

Key words: group decision making, satisfaction criterion, preference relation, majority satisfaction preference rule, necessary and sufficient conditions

中图分类号:

O221

胡毓达. 多数满意偏好规则的充分必要条件[J]. 运筹学学报, 2014, 18(4): 78-84.

HU Yuda. Necessary and sufficient conditions for majority satisfaction preference rule[J]. Operations Research Transactions, 2014, 18(4): 78-84.

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