| 随机偏爱群体决策的随机Borda数法 |
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| 引用本文： | 周轩伟,洪振杰,李静.随机偏爱群体决策的随机Borda数法[J].运筹学学报,2004,8(4):54-60. |
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| 作者姓名： | 周轩伟 洪振杰 李静 |
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| 作者单位： | 1. 上海大学理学院数学系,上海,200436;温州大学数学与信息科学学院,温州,325027
2. 上海大学理学院数学系,上海,200436;温州师范学院,温州,325027 |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.70071026)
theScienceFoundationofWenzhouUniversity |
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| 摘 要： | 对于具随机偏爱信息的群体决策问题，本文引入供选方案的随机Borda数和供选方案集上的随机Borda数映射概念．在讨论了随机Borda数映射满足随机偏爱公理的基础上，给出一个对所有供选方案进行群体排序的方法．
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| 关 键 词： | Borda数 群体决策 信息 问题 随机 概念 排序 映射 公理 |
Stochastic Borda-Number Method for Group Decision Making with Stochastic Preference |
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| Abstract.Stochastic Borda-Number Method for Group Decision Making with Stochastic Preference[J].OR Transactions,2004,8(4):54-60. |
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| Authors: | Abstract |
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| Abstract: | This paper introduces the concepts of stochastic Borda-number for an alternative and stochastic Borda-number mapping on a set of alternatives for group decision making problem with stochastic preference information. After discussing the various fundamental properties of the stochastic Borda-number mapping and the corresponding stochastic preference axioms, a group sequencing method for all alternatives is constructed. |
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| Keywords: | OR group decision making incomplete information stochastic preference stochastic Borda-number stochastic Borda number mapping |
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