基于模糊相容关系下的相容模糊粗糙集  

Compatibility fuzzy-rough sets based on fuzzy compatibility relation

作　　者：何亚群[1] 李继军[1] 胡寿松[2] 

机构地区：[1]徐州空军学院航材管理系,江苏徐州221000 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《系统工程学报》2006年第5期553-556,共4页Journal of Systems Engineering

基　　金：国家自然科学基金重点资助项目(60234010);航空科学基金资助项目(02E52025)

摘　　要：本文针对模糊信息系统,提出了一种基于模糊相容关系的相容模糊粗糙集。文中给出了模糊相容类的定义,相容模糊粗糙集的表达形式,相容模糊粗糙隶属函数的定义及性质,相容模糊粗糙集的属性约简及模糊性测量方法.最后通过一个例子来说明了这种相容模糊粗糙集.Considering the fuzzy information system, a compatibility fuzzy-rough sets based on fuzzy compatibility relation is proposed in this paper. The fuzzy compatibility classes are defined, the expression of compatibility fuzzy-rough, the definition and properties of compatibility fuzzy-rough membership functions are given, and compatibility fuzzy-rough attribute reduction and the method for measuring fuzziness are also given. Finally, an example is given to illustrate the compatibility fuzzy-rough sets.

关 键 词：粗糙集 模糊相容关系 相容模糊粗糙集 相容模糊熵 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]