| 群决策中基于不同偏好信息的相对熵集成方法 |
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| 引用本文： | 陈华友,刘春林.群决策中基于不同偏好信息的相对熵集成方法[J].东南大学学报(自然科学版),2005,35(2):311-315. |
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| 作者姓名： | 陈华友 刘春林 |
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| 作者单位： | 1. 南京大学工程管理学院,南京,210093;安徽大学数学系,合肥,230039
2. 南京大学商学院,南京,210093 |
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| 基金项目： | 国家自然科学基金，中国博士后科学基金 |
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| 摘 要： | 研究了基于不同形式偏好信息的群决策问题.在群决策中专家根据个人的偏好,常常对决策方案集给出4种不同形式的偏好信息,包括直接反映决策方案优劣次序的序关系值和效用值,以及2个决策方案成对比较互反判断矩阵和模糊互补判断矩阵.首先给出了序关系值、互反判断矩阵和模糊互补判断矩阵3种偏好信息均转化为效用值形式的计算公式, 然后从相对熵的概念出发,提出了一种相对熵最优化的集成模型,给出了模型的解.最后进行了2个实例分析,结果表明所提出集成方法是有效的.
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| 关 键 词： | 群决策 相对熵 偏好信息 一致化 最优化模型 |
| 文章编号： | 1001-0505(2005)02-0311-05 |
Relative entropy aggregation method in group decision making based on different types of preference information |
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| Chen Huayou,Liu Chunlin.Relative entropy aggregation method in group decision making based on different types of preference information[J].Journal of Southeast University(Natural Science Edition),2005,35(2):311-315. |
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| Authors: | Chen Huayou Liu Chunlin |
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| Abstract: | The problem of group decision making based on different types of preference information is studied. Experts usually provide four forms of preference information to the set of alternatives by their personalities during group decision making, which includes preference ordering and utility value giving the orders of alternatives directly, reciprocal judgement matrix and fuzzy complementary judgement matrix obtained by pair comparison between two alternatives.First the computational formulas are given to uniform three types of preference information, i.e. preference ordering, reciprocal judgement matrix and fuzzy complementary judgement matrix, into the form of utility value. Then a relative entropy aggregation optimal model is proposed from the concept of relative entropy, and the solution of this model is also given. Finally two examples are analyzed to show the effectiveness of this model. |
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| Keywords: | group decision making relative entropy preference information uniformity optimal model |
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