A consistency and consensus based decision support model for group decision making with multiplicative preference relations
A consistency and consensus based decision support model for group decision making with multiplicative preference relations
复制标题
基于一致性和共识的乘法偏好关系群体决策决策支持模型
DOI：
10.1016/j.dss.2011.11.022
复制
发表时间：
2012-02
影响因子：
7.5
通讯作者：
Xu, Jiuping1
中科院分区：
文献类型：
--
作者：
Wu, Zhibin1;Xu, Jiuping1
在具有乘性偏好关系（层次分析法中也称为成对比较矩阵）的群体决策中，为了得到有意义的可靠解，最好在决策过程中考虑个体一致性和群体一致性。本文提出了一种决策支持模型，以帮助群体的共识过程，同时保持可接受的个人一致性，为每个决策者。基于两个矩阵的Hadamard积，引入了个体一致性指标和群体一致性指标的概念。在所设计的支撑模型中提出了两种算法。第一个算法用于将不可接受的偏好关系转换为可接受的偏好关系。第二种算法的目的是帮助群体达到预定义的共识水平。我们的模型的主要特点是：（1）它是独立的优先级方法中使用的共识过程;（2）它确保每个个体的乘法偏好关系是可接受的一致性时，预定义的共识水平达到。最后，通过数值算例验证了模型的有效性.
In group decision making (GDM) with multiplicative preference relations (also known as pairwise comparison matrices in the Analytical Hierarchy Process), to come to a meaningful and reliable solution, it is preferable to consider individual consistency and group consensus in the decision process. This paper provides a decision support model to aid the group consensus process while keeping an acceptable individual consistency for each decision maker. The concept of an individual consistency index and a group consensus index is introduced based on the Hadamard product of two matrices. Two algorithms are presented in the designed support model. The first algorithm is utilized to convert an unacceptable preference relation to an acceptable one. The second algorithm is designed to assist the group in achieving a predefined consensus level. The main characteristics of our model are that: (1) it is independent of the prioritization method used in the consensus process; (2) it ensures that each individual multiplicative preference relation is of acceptable consistency when the predefined consensus level is achieved. Finally, some numerical examples are given to verify the effectiveness of our model.
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DOI：
10.1007/1-4020-2721-4_1
发表时间：
2011-04
期刊：
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影响因子：
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影响因子：
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作者：
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影响因子：
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影响因子：
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DOI：
10.1017/cbo9780511840371
发表时间：
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期刊：
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通讯作者：
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