| 多时段多元判断偏好的群决策方法研究 |
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| 引用本文： | 姚升保.多时段多元判断偏好的群决策方法研究[J].软科学,2009,23(4). |
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| 作者姓名： | 姚升保 |
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| 作者单位： | 中南财经政法大学工商管理学院,武汉430073 |
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| 摘 要： | 研究基于多个决策时段且具有互反判断矩阵和互补判断矩阵两类不同形式偏好信息的群决策问题。根据原始判断矩阵,建立了直接集结偏好信息的最优化模型;通过分析决策者给出的偏好信息,给出了确定决策者客观权重的方法,并将客观权重与主观权重相结合得到决策者的综合权重。由于无需事先将不同类型的偏好信息转化为同一形式,因此,所提出的多时段多元判断偏好信息的集结方法较为简单易行,而且可以避免形式转化过程中信息的丢失和扭曲。
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| 关 键 词： | 群决策 决策时段 互补判断矩阵 互反判断矩阵 |
Study on Group Decision-making Based on Multiple Stages and Multiple Judgment Preferences |
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| Abstract: | This paper proposes a new approach to solve the group decision-making problem with multiple stages, in which the preference information provided by decision makers can be represented in two different formats: reciprocal comparison matrix and complementary matrix. Based on the original preference information provided by decision makers, an optimal model is established to aggregate preferences. The objective weights of the decision makers are determined according to the judgment information. The synthetic weights are obtained by combining the objective weights and the subjective weights. The proposed approach is efficient and simple because it does not need to unify different formats of preferences or to aggregate individual preferences into a collective one. Therefore, it overcomes the shortcomings that lose or distort the original preference information in the process of unifying the formats. |
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| Keywords: | group decision-making decision stage reciprocal comparison matrix complementary matrix |
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