基于优势概率的多属性群决策方法研究

Research on Multi-attribute Group Decision-making Method Based on Dominance Probability

已有多属性群决策方法大多需要进行矩阵归一化处理,才能得到相应的决策结果,但不同的归一化方法可能导致不同的决策结果。为了解决该问题,文章提出了基于优势概率的新决策方法并规避矩阵归一化。该方案通过定义并计算相对属性权重和属性优势概率,得到方案间的优势概率,从而实现方案的评价和排序。实例表明,新方法决策过程简洁、目标明确、效果良好,是一种较优的多属性群决策方法。

Most of the existing multi-attribute group decision-making methods need matrix normalization to obtain the corresponding decision results, but different normalization methods may lead to different decision results. In order to solve this problem, this paper proposes a new decision-making method based on advantage probability to avoid matrix normalization. By defining and calculating the relative attribute weight and attribute advantage probability, the paper obtains the dominant probability among schemes, so as to realize the evaluation and ranking of schemes. The example shows that the new method is a better multi-attribute group decision-making method with simple decision-making process, clear objective and good effect.