School of Information Engineering, Shenyang University of Technology, Shenyang, China.
Alumni Association, Shenyang Jianzhu University, Shenyang, China.
Comput Intell Neurosci. 2018 Oct 1;2018:4864517. doi: 10.1155/2018/4864517. eCollection 2018.
The interval multiple attribute decision-making problems are studied in this paper, where the preference information on attributes is expressed with preference orderings, linguistic terms, interval numbers, and inequality constraints among partial attribute weights. An approach is proposed to determine the attribute weights based on the preference information on attributes and the interval decision matrix. Firstly, preference orderings, linguistic terms, and interval numbers are normalized and aggregated into the group opinions, based on which an optimization model is set up to calculate the subjective attribute weights by including inequality constraints among partial attribute weights in the model. Then, based on the interval decision matrix, the entropy method is adopted to calculate the objective attribute weights, which is integrated with the subjective weights so that both the subjective preference information and the objective information in the decision matrix are reflected. Finally, an example is used to illustrate the proposed approach.
本文研究了区间多属性决策问题，其中属性的偏好信息用偏好序、语言术语、区间数和部分属性权重之间的不等式约束来表示。提出了一种基于属性偏好信息和区间决策矩阵确定属性权重的方法。首先，将偏好序、语言术语和区间数归一化并聚合为群体意见，在此基础上建立一个优化模型，通过在模型中包含部分属性权重之间的不等式约束来计算主观属性权重。然后，基于区间决策矩阵，采用熵法计算客观属性权重，将其与主观权重相结合，以反映决策矩阵中的主观偏好信息和客观信息。最后，通过一个实例说明了所提出的方法。
