新条件熵下协调不完备的信息系统属性约简  

Attribute reduction of consistent incomplete information systems based on new conditional entropy

作　　者：孙亚超 陈锦坤 金铭[1] SUN Yachao;CHEN Jinkun;JIN Ming(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China;Fujian Key Laboratory of Granular Computing and Applications,Minnan Normal University,Zhangzhou 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]闽南师范大学福建省粒计算及其应用重点实验室,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2023年第2期17-26,共10页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金项目(62076116);福建省自然科学基金项目(2020J01792,2021J02049).

摘　　要：针对不完备信息系统的属性约简方法较少考虑含有缺失对象集对决策类造成的影响问题,根据缺失对象集含有的对象不同,给出一种新的条件熵,用来更加精确地度量知识的不确定性.其次给出了在协调不完备信息系统下关于该新条件熵的相关定理,并构造了一种基于新条件熵的属性约简算法.最后,通过实例证明了该算法的可行性.Attribute reduction methods of incomplete information systems seldom consider the impact of missing object sets on decision classes.To solve this problem,a new conditional entropy is proposed according to the different objects in the missing object set,which is used to measure the uncertainty of knowledge more accurately.Secondly,the related theorems about the new conditional entropy in the coordination incomplete information system are given,and an attribute reduction algorithm based on the new conditional entropy is constructed.Finally,an example is given to prove the feasibility of the algorithm.

关 键 词：条件熵 属性约简 不完备信息系统 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]