基于Vague集的多属性群决策专家权重的确定

针对方案属性值为Vague值的多属性群决策问题,提出了一种新的专家权重的确定方法.定义了Vague值的得分函数、贴近度、运算法则以及信息集成算子.根据专家评判的相似度矩阵,通过其最大模特征值所对应的特征向量客观地确定了专家的权重,进而提出了新的群决策方法.制造资源应用实例验证了方法的可行性和合理性.

Determination of Experts' Weights Based on Vague Set for Multi-Attribute Group Decision-Making

Aimed at the problem of multi-attribute group decision-making, in which the attribute values are represented by Vague values, a new method of determining the experts' weights is proposed. The method defines the score function, close degree, operation rules and information aggregation operators for Vague values. According to the matrix of similarity degrees for experts' judgment, the experts' weights are determined objectively by the eigenvector corresponding to the maximum module eigenvalue, and then a new group decision-making method is given. A practical example of manufacturing resource proves that the method is feasible and reasonable.