Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their applications. In many real world situations, some of the attribute values for an object may be in the set-valued form. In this paper, to handle this problem, we present a more general approach to the fuzzification of rough sets. Specially, we define a broad family of fuzzy rough sets. This paper presents a new development for the rough set theory by incorporating the classical rough set theory and the interval-valued fuzzy sets. The proposed methods are illustrated by an numerical example on the real case.

中文翻译：

---

模糊粗糙集模型和模糊粗糙化数据约简

粗糙集理论是分析信息系统的强大工具。引入模糊粗糙集作为粗糙集的模糊概括。本文回顾了对粗糙集理论，模糊粗糙集理论及其应用最重要的贡献。在许多现实世界中，对象的某些属性值可能采用设定值形式。在本文中，为了解决这个问题，我们提出了一种对粗糙集进行模糊化的更通用的方法。特别地，我们定义了一系列模糊粗糙集。通过结合经典的粗糙集理论和区间值模糊集，提出了粗糙集理论的新发展。实例通过数值实例说明了所提出的方法。