| 基于群组满意度最大的区间偏好信息集结 |
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| 引用本文： | 冯向前,魏翠萍,李宗植,胡钢. 基于群组满意度最大的区间偏好信息集结[J]. 系统工程, 2006, 24(11): 42-45 |
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| 作者姓名： | 冯向前 魏翠萍 李宗植 胡钢 |
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| 作者单位： | 1. 南京航空航天大学,经济与管理学院,江苏,南京,210016
2. 曲阜师范大学,运筹与管理学院,山东,日照,276826 |
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| 摘 要： | 研究群决策中区间数判断矩阵偏好信息的集结问题。针对区间数互反判断矩阵和区间数互补判断矩阵，构造了个体满意度函数，并讨论了满意度与一致性以及群组满意度和群组共识之间的关系，最后还给出了基于群组满意度最大的相对熵最优化偏好集结模型以及应用算例。
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| 关 键 词： | 群决策 区间偏好信息 满意度 集结 |
| 文章编号： | 1001-4098（2006）11-0042-04 |
| 收稿时间： | 2006-06-29 |
| 修稿时间： | 2006-06-29 |
Aggregating of Interval Number Judgment Matrixes with Maximum Satisfaction |
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| FENG Xiang-qian,WEI Cui-ping,LI Zong-zhi,HU Gang. Aggregating of Interval Number Judgment Matrixes with Maximum Satisfaction[J]. Systems Engineering, 2006, 24(11): 42-45 |
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| Authors: | FENG Xiang-qian WEI Cui-ping LI Zong-zhi HU Gang |
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| Affiliation: | 1. College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016, China; 2. Institute of Operations Research,Qufu Normal University, Rizhao 276826,China |
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| Abstract: | The aggregation problem about the group preference information of interval number judgment matrices is studied.The function of degree of DM's satisfaction is constructed.The relevant propertied of it is discussed on.The assessment of the group priorities is formulated as a relative entropy optimal model,maximizing the group's overall satisfaction.Finally a numerical example is given to show the feasibility and effectiveness of the proposed approach. |
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| Keywords: | Group Decision-making Interval Preference Information Degree of Satisfaction Aggregation |
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