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群体决策中k-偏差规则的排序法
引用本文:刘鹏,周轩伟,栗四海.群体决策中k-偏差规则的排序法[J].温州大学学报(自然科学版),2011,32(4).
作者姓名:刘鹏  周轩伟  栗四海
作者单位:温州大学数学与信息科学学院,浙江温州,325035
摘    要:提出了群体决策中的k-偏差规则,验证了其满足Arrow公理系中的四个公理并具备匿名性、中立性和非传递性等特征;为了排序,提出选择函数的概念,解决了不具备传递性的k-偏差规则的排序问题.

关 键 词:群体决策  Arrow公理  偏差规则  选择函数

Ordering Method of k- Deviation Rule in Group Decision Making
LIU Peng,ZHOU Xuanwei,LI Sihai.Ordering Method of k- Deviation Rule in Group Decision Making[J].Journal of Wenzhou University Natural Science,2011,32(4).
Authors:LIU Peng  ZHOU Xuanwei  LI Sihai
Affiliation:LIU Peng,ZHOU Xuanwei,LI Sihai(College of Mathematics and Information Science,Wenzhou University,Wenzhou,China 325035)
Abstract:The k-Deviation Rule in Group Decision Making was studied in this paper.And it had been proved that it satisfies four axioms of the Arrow axiom system and it contains features like anonymity,neutrality and non-transferability.The definition of choice function was presented to meet the need of ordering and so as to resolve the ordering problem of the k-Deviation Rule which has no transitivity.
Keywords:Group Decision Making  Arrow Axiom  Deviation Rule  Choice Function  
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