在模糊集（fuzzy set）的基础上讨论了“双模糊集”Vague集的基本概念和运算形式，具体讨论了Vague聚类分析、Vague多准则决策、Vague图等问题及其在现代物流中的应用。最后给出根据正、负两方面效益选择运输方案的Vague集在物流中的应用实例。

This paper presents the basic concept of Vague sets and their operation based on fuzzy set theory. The Vague clustering method, Vague multi-criterion decision-making, Vague graphics and their applications in the contemporary logistic are discussed. At last an example of Vague sets in logistic alterative selection according to the positive and negative utility is presented.