| 关于极大偏好断面约束的分析 |
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| 引用本文： | 罗云峰,肖人彬,朱明富,岳超源.关于极大偏好断面约束的分析[J].华中科技大学学报(自然科学版),1998(7). |
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| 作者姓名： | 罗云峰 肖人彬 朱明富 岳超源 |
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| 作者单位： | 华中理工大学系统工程研究所，华中理工大学ＣＡＤ中心，华中理工大学系统工程研究所 |
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| 摘 要： | 研究了使过半数规则产生的群体（社会）序具有传递性的偏好断面规模及其极大化问题，分析了基本约束集、次级约束集和Ｆｉｓｈｂｕｒｎ约束的基本特性及其偏好断面规模；仿Ｆｉｓｈｂｕｒｎ约束的构造方式，构造了扩展Ｆｉｓｈｂｕｒｎ约束，利用该约束可以确定极大偏好断面规模的下界值．
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| 关 键 词： | 偏好断面规模 约束集 位次限制 |
An Analysis of the Constraints on the Maximum Size of Preference Profile |
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| Luo Yunfeng,Assoc. Prof..An Analysis of the Constraints on the Maximum Size of Preference Profile[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(7). |
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| Authors: | Luo Yunfeng Assoc Prof |
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| Institution: | Luo Yunfeng Assoc. Prof.,Institute of Sys. Eng.,HUST,Wuhan 430074,China. Xiao Renbin Zhu Mingfu Yue Chaoyuan |
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| Abstract: | The size of preference profile with transitivity, i.e. the maximum number of admissible preference orderings by which the transitive social ordering is constructed through simple majority voting (SMV) is studied. Emphasis is laid on the analysis of three kinds of constraints (i.e. the basic constrains set, the second ones and Fishburn ones) on the maximum size of preference profile. By analyzing the structure of Fishburn constraints, the method to determine the lower maximum value is proposed. |
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| Keywords: | preference profile constraints set value restriction |
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