粗糙模糊集的粗糙性度量  

The roughness measure of rough-fuzzy sets

作　　者：李学文[1] 魏立力[1] 

机构地区：[1]宁夏大学数学与计算机科学学院,宁夏银川750021

出　　处：《贵州师范大学学报（自然科学版）》2007年第1期68-71,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：教育部科学技术研究重点项目(NO.206159);宁夏自然科学基金资助项目(NZ0516)

摘　　要：粗糙集理论和模糊集理论是处理不确定和不精确问题的两种数学工具,它们有很强的互补性,将这两种理论相互融合可以建立粗糙模糊集模型。本文在概率近似空间上研究了粗糙模糊集的粗糙性度量,定义了知识的粗糙度概念,并将它与模糊集的粗糙度相结合给出了粗糙模糊集粗糙性的一种新的度量,验证了该度量的一些性质。Rough set theory and fuzzy set theory are two complementary mathematical tools for dealing with imprecision and uncertainty. Rough -fuzzy sets model is established by them. In this paper, the roughness of rough - fuzzy＇ sets is studied and the roughness of knowledge is defined in probabilistic approximation space. A new measure of roughness of rough - fuzzy sets by integrating a measurement base on roughness of knowledge and roughness of fuzzy set is given. Some properties of the measurement are proved.

关 键 词：粗糙模糊集 知识的粗糙度 粗糙性度量 

分 类 号：O159[理学—数学]