| 关于群体决策的偏比映射 |
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| 引用本文： | 胡毓达,于丽英.关于群体决策的偏比映射[J].系统科学与数学,2003,23(4):559-565. |
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| 作者姓名： | 胡毓达 于丽英 |
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| 作者单位： | 1. 温州大学数学与信息科学学院,温州,325027
2. 上海大学国际工商与管理学院,上海,200072 |
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| 基金项目： | 国家自然科学基金(No.70071026)资助课题 |
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| 摘 要： | 本文引进群体决策的决策个体和决策群体关于供选方案对的偏比度,以及偏比泛函概念.由此,定义了群体在供选方案集上的偏比映射,构造了相应的偏比公理系,并且建立了关于群体决策的偏比度分析的基本理论.最后,给出一个利用偏比映射进行群体排序的方法.特别是,文中表明,满足本文所提出的所有偏比公理的偏比映射是存在的.
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| 关 键 词： | 群体决策 偏比度 偏比泛函 偏比映射 偏比公理 |
| 修稿时间： | 2000年8月31日 |
ON PREFERENCE-RATIO MAPPING IN GROUP DECISION MAKING |
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| Yu Da HU.ON PREFERENCE-RATIO MAPPING IN GROUP DECISION MAKING[J].Journal of Systems Science and Mathematical Sciences,2003,23(4):559-565. |
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| Authors: | Yu Da HU |
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| Institution: | (1)School of Mathematics and Information Science, Wenzhou University, Wenzhou 325027,P.R.China;(2)School of Business and Management, Shanghai University, Shanghai 200072,P.R.China |
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| Abstract: | In this paper, the preference-ratio measure relative to a pair of alternatives and the preference-ratio functional are introduced, respectively, for an individual and a group in group decision making. Thus, the group preference-ratio mapping is defined, the corresponding preference-ratio axiom system is structured, and the fundamental theory on preference-ratio mapping is established in group decision making. Furthermore, a group sequencing method is proposed by means of preference-ratio mapping. Particularly, there does exist a group preference-ratio mapping that satisfies the preference-ratio axiom system stated in this paper. |
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| Keywords: | Group decision making preference-ratio measure preference-ratio functional preference-ratio mapping preference-ratio axiom |
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