| 群体决策中弱Pareto扩展规则的充要条件 |
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| 引用本文： | 李志刚.群体决策中弱Pareto扩展规则的充要条件[J].科学技术与工程,2007,7(21):5729-5731. |
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| 作者姓名： | 李志刚 |
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| 作者单位： | 温州大学数学与信息科学学院,温州,325035 |
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| 摘 要： | 从弱Pareto扩展规则的定义出发,验证了弱Pareto扩展规则满足阿罗公理中除传递性以外的其他公理,并给出了弱Pareto扩展规则所满足的充要条件,指出拟独裁性、匿名性、中立性、Pareto原则和完全性是使一集体选择规则成为弱Pareto扩展规则的充要条件。
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| 关 键 词： | 群体决策 弱Pareto扩展规则 集体选择规则 |
| 文章编号： | 1671-1819（2007）21-5729-03 |
| 修稿时间： | 2007-07-16 |
Sufficient and Necessory Conditions of the Weak Pareto-extension Rule in Group Decision Making |
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| LI Zhi-gang.Sufficient and Necessory Conditions of the Weak Pareto-extension Rule in Group Decision Making[J].Science Technology and Engineering,2007,7(21):5729-5731. |
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| Authors: | LI Zhi-gang |
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| Institution: | School of Mathematics and Information Science, Wenzhou University, Wenzhou 325035 ,P. R. China |
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| Abstract: | It was proved that the weak Pareto-extension rule satisfied the other axioms of Arrow law besides of Transitivity axiom.Moreover,the sufficient and necessary conditions of the weak Pareto-extension rule were given.Quasi-negative responsiveness,anonymity,neutrality,pareto principle and completeness are sufficient and necessary conditions which made a collective choice rule the weak pareto-extension rule. |
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| Keywords: | group decision making weak Pareto-extension rule collective choice rule |
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