Abstract: There exist some difficulties if the traditional fuzzy set is used for fuzzy group decision making problem, and the Vague soft set is an important tool of processing uncertain information. For this reason, a weighted resemblance degree of the Vague soft set is defined and the Vague soft set is used to evaluate the alternatives. On this basis, the normal cloud model is used to calculate group consistency. Finally, the fuzzy group decision making method which based on the Vague soft set is used in supplier selection decision problem, and the data of the results indicate that the Vague soft set theory can greatly improve the scientificalness and effectiveness of fuzzy group decision making.

Key words: Vague soft set, fuzzy group decision making, normal cloud model, group consistency

摘要： 运用传统的模糊集进行模糊型群决策时存在一定的困难，而Vague软集是一种处理不确定信息的重要工具。为此，给出了一种加权的Vague软集间相似度定义，并运用Vague软集对备选方案进行评判；在此基础上运用正态云模型进行群体一致性评判，将基于Vague软集的模糊群决策方法应用于供应商选择问题中，结果表明，Vague软集能极大地提高模糊群决策的科学性和有效性。

关键词: Vague软集, 模糊群决策, 正态云, 群体一致性