一种新的粗糙集模型及其应用  

A Kind of Novel Rough Set Model and Its Application

作　　者：张植明[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《模糊系统与数学》2013年第3期176-181,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61073121);河北省自然科学基金资助项目(2010000318)

摘　　要：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.

关 键 词：粗糙集 区间直觉模糊集 区间直觉模糊关系 区间直觉模糊数 近似精度 粗糙度 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]