Abstract

Addressing the multi-criteria group decision making problem with interval attribute values and attribute weights, this paper proposes a decision method based on attribute distribution information. The selection of green suppliers is taken as an example for decision analysis. First, in the case of group decision-making, the quantitative values of the evaluation attributes of green suppliers are imputed by decision-makers, and the relevant distributions are constructed for each attribute. Next, combined with the ranges of attribute values, the random interval values are used to describe the information represented by each attribute to overcome the loss caused by the aggregation of individual expert information into group information. We then propose the distributed interval weighted arithmetic average (DIWAA) operator and corresponding operation rules, which realizes the fusion of qualitative data and quantitative judgment. Thus, the proposed approach allows ensuring reasonable results of the multi-criteria analysis. We also construct a ranking method for alternatives based on distributed interval comprehensive scores. Finally, we verify the feasibility and effectiveness of the proposed method for the task of green supplier selection through numerical experiments.

摘要

针对区间属性值和属性权重的多准则群决策问题，提出一种基于属性分布信息的决策方法。以绿色供应商的选择为例进行决策分析。首先，在群体决策的情况下，绿色供应商评价属性的量化值由决策者估算，并为每个属性构建相关分布。其次，结合属性值的范围，利用随机区间值来描述每个属性所代表的信息，以克服个体专家信息聚合成组信息所带来的损失。然后我们提出了分布式区间加权算术平均（DIWAA）算子和相应的操作规则，实现了定性数据和定量判断的融合。因此，所提出的方法允许确保多标准分析的合理结果。我们还构建了一种基于分布区间综合得分的备选方案排名方法。最后，我们通过数值实验验证了所提方法对于绿色供应商选择任务的可行性和有效性。