提出了一种新的基于区间直觉模糊关系和区间直觉模糊数的粗糙集模型。首先,介绍了区间直觉模糊集,区间直觉模糊关系和区间直觉模糊数等概念。然后,利用区间直觉模糊关系和区间直觉模糊数定义了一种新的粗糙集模型,并给出一些基本性质。最后将该模型应用于临床诊断系统中。实例验证了该粗糙集模型的有效性和实用性。
A kind of novel rough set model based on an interval-valued intuitionistic fuzzy relation and an interval-valued intuitionistic fuzzy number is presented. Firstly, the concepts of an interval-valued intuitionistic fuzzy set, an interval-valued intuitionistic fuzzy relation and an interval-valued intuitionistic fuzzy number are introduced. Secondly, by empolying an interval-valued intuitionistic fuzzy relation and an interval-valued intuitionistic fuzzy number, a new rough set model is defined and some basic properties of this model are examined. Finally, this newly proposed rough set model is applied to the clinical diagnose systems. A concrete example is proposed to illustrate the effectiveness and practicability of this rough set model.