粗糙集中不确定性测量的修正粗糙熵方法  

Modified rough entropy method for measuring uncertainty in rough sets

作　　者：何亚群[1] 胡寿松[2] 朱江[3] 

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 [3]徐州空军学院航空弹药系,江苏徐州221000

出　　处：《海军工程大学学报》2006年第4期26-29,56,共5页Journal of Naval University of 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：分析了引起粗糙集中不确定性的因素,对已有的测量不确定性的粗糙度与粗糙熵方法进行了比较,提出了一种修正的粗糙熵方法,证明了此粗糙熵的性质,并将基于等价关系的修正粗糙熵拓展到基于一般二元关系下的广义修正粗糙熵,同时给出了广义修正粗糙熵的定义及性质.通过分析和实例可以看出,所提出的修正粗糙熵方法可以用来更合理、更精确地测量粗糙集中的不确定性.The factors leading to uncertainty in rough sets were analyzed; the existing roughness and rough entropy methods for measuring uncertainty were compared; a modified rough entropy method was presented, and the properties of the rough entropy were proved. The modified rough entropy based on equivalence relation was extended to the generalized modified rough entropy based on general binary relation, and the definition and proportions of the generalized modified rough entropy were given. The analysis and real example show that the modified rough entropy method for measuring uncertainty in rough sets is more reasonable and more accurate than the classical methods.

关 键 词：粗糙集 不确定性 修正粗糙熵 广义修正粗糙熵 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]