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运筹学学报 ›› 2015, Vol. 19 ›› Issue (3): 8-17.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.002

• 运筹学 • 上一篇    下一篇

多数满意陪审团定理的极大和极小概率

秦志林1, 于丽英2,*   

  1. 1. 南通职业大学基础部, 江苏南通, 226007; 2. 上海大学管理学院, 上海, 200444
  • 收稿日期:2015-03-16 出版日期:2015-09-15 发布日期:2015-09-15
  • 通讯作者: 于丽英 yuliying@shu.edu.cn

Maximal and minimal probabilities of the majority satisfaction jury theorem

QIN Zhilin1, YU Liying2,*   

  1. 1.Basic Course Department of Nantong Vocational University, Nantong 226007, Jiangsu, China; 2.School of Management, Shanghai University, Shanghai 200444, China
  • Received:2015-03-16 Online:2015-09-15 Published:2015-09-15

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摘要：

证明了在群体中，当各个体正确判断方案满意性的概率越分散，由多数满意规则确定的相应群体正确判断方案满意性的概率将越大.根据这一结果得到：在所有的个体正确判断方案满意性的平均概率相同的情况下，由多数满意陪审团定理决定的群体正确判断方案满意性的极大概率和极小概率的表达式.

关键词: 群体决策, 满意指标, 多数满意规则, 多数满意陪审团定理

Abstract:

This paper proves that when the probabilities of individuals in the group correctly judging satisfaction of alternatives are more dispersed that corresponding to the group using the majority satisfactory rule will have a higher probability. According to this result, we get the expressions of maximal probability and minimal probability of the group determined by majority satisfaction jury theorem on average probability of all individuals correctly judging satisfaction of alternatives has same.

Key words: group decision making, satisfaction criterion, majority satisfactory rule, majority satisfaction jury theorem