arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.01569cs.AI
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基于区间数据和云模型的不确定性多准则群决策

Multicriteria Group Decision-Making Under Uncertainty Using Interval Data and Cloud Models

Hadi A. Khorshidi, Uwe Aickelin

摘要:

在这项研究中,我们提出了一个多准则群体决策(MCGDM)算法下的不确定性数据收集的时间间隔。所提出的MCGDM算法聚集的数据,确定最佳的权重标准和排名的替代品,没有进一步的输入。这些时间间隔使专家能够灵活地对照标准评估替代办法,并提供了获得最大信息的机会。我们还提出了一种新的方法来聚合专家的判断,使用云模型。我们引入了一个实验方法来检查聚合方法的有效性。之后,我们使用聚合方法的MCGDM问题。在这里,我们找到了最佳的权重为每个标准,提出了一个双层优化模型。然后,我们扩展了技术的偏好顺序的相似性,理想的解决方案(TOPSIS)的数据的基础上云模型的优先选择。因此,该算法可以从不同程度的不确定性的决策者获得信息,并检查没有更多的决策者的信息的替代品。通过对一个网络安全问题的实例分析,验证了MCGDM算法的可行性和有效性。通过灵敏度分析和与其他已有算法的比较,验证了所提出的MCGDM算法的鲁棒性和有效性。

英文摘要:

In this study, we propose a multicriteria group decision making (MCGDM) algorithm under uncertainty where data is collected as intervals. The proposed MCGDM algorithm aggregates the data, determines the optimal weights for criteria and ranks alternatives with no further input. The intervals give flexibility to experts in assessing alternatives against criteria and provide an opportunity to gain maximum information. We also propose a novel method to aggregate expert judgements using cloud models. We introduce an experimental approach to check the validity of the aggregation method. After that, we use the aggregation method for an MCGDM problem. Here, we find the optimal weights for each criterion by proposing a bilevel optimisation model. Then, we extend the technique for order of preference by similarity to ideal solution (TOPSIS) for data based on cloud models to prioritise alternatives. As a result, the algorithm can gain information from decision makers with different levels of uncertainty and examine alternatives with no more information from decision-makers. The proposed MCGDM algorithm is implemented on a case study of a cybersecurity problem to illustrate its feasibility and effectiveness. The results verify the robustness and validity of the proposed MCGDM using sensitivity analysis and comparison with other existing algorithms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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