Abstract: Fuzzy set, Rough set and vague set are all the extension of classical sets theory. They extend the application of set theory to vague and uncertain problem. The ideas of fuzzy set, rough set and vague set have been introduced, and the differences and relationship of them is discussed. Lastly, the development and application of the three theories are also proposed.

摘要： 模糊集、粗糙集和Vague集三种理论都是对经典集合理论的扩展，使得集合论的应用扩展到了含糊的、不确定性的问题领域。本文介绍了三种集合的基本思想，重点分析三种理论的区别和内在联系，同时对三种理论的发展及应用作了一些探讨性研究。