Group consensus algorithms based on preference relations
Group consensus algorithms based on preference relations
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DOI：
10.1016/j.ins.2010.08.002
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Zeshui Xu;Xiaoqiang Cai
中科院分区：
文献类型：
--
作者：
Zeshui Xu;Xiaoqiang Cai
在许多群决策情况下，决策者对方案的偏好是以偏好关系（包括模糊偏好关系和乘性偏好关系）来表达的。偏好关系集结过程中的一个重要步骤是确定每个偏好关系的重要性权重。在本文中，我们开发了一些目标规划模型和二次规划模型的基础上最大化的群体共识的想法。我们的模型可以用来推导模糊偏好关系和乘性偏好关系的重要性权重。我们进一步开发迭代算法，以达到可接受的水平的共识，在群体决策的基础上，模糊偏好关系或乘性偏好关系。最后，我们包括一个说明性的例子。
In many group decision-making situations, decision makers’ preferences for alternatives are expressed in preference relations (including fuzzy preference relations and multiplicative preference relations). An important step in the process of aggregating preference relations, is to determine the importance weight of each preference relation. In this paper, we develop a number of goal programming models and quadratic programming models based on the idea of maximizing group consensus. Our models can be used to derive the importance weights of fuzzy preference relations and multiplicative preference relations. We further develop iterative algorithms for reaching acceptable levels of consensus in group decision making based on fuzzy preference relations or multiplicative preference relations. Finally, we include an illustrative example.