随机多尺度序决策系统的最优尺度选择  

Optimal Scale Selection in Random Multi-scale Ordered Decision Systems

作　　者：方连花 林玉梅 吴伟志 FANG Lian-hua;LIN Yu-mei;WU Wei-zhi(General Education Center,Quanzhou University of Information Engineering,Quanzhou,Fujian 362000,China;School of Information Engineering,Zhejiang Ocean University,Zhoushan,Zhejiang 316022,China)

机构地区：[1]泉州信息工程学院通识教育中心,福建泉州362000 [2]浙江海洋大学信息工程学院,浙江舟山316022

出　　处：《计算机科学》2022年第6期172-179,共8页Computer Science

基　　金：国家自然科学基金(61976194,62076221);福建省中青年教师教育科研项目(JAT200799);福建省职业教育教学改革研究课题(GB2020036)。

摘　　要：针对由随机实验得到的多尺度序信息系统的知识获取问题,首先,引入随机多尺度序信息系统和基于优势-等价关系的随机多尺度序决策系统的概念;然后,在随机多尺度序信息系统中给出在不同尺度下基于优势关系的信息粒的表示、以及集合关于由条件属性集生成的优势关系的下近似与上近似的定义,并得到在不同尺度下信息粒、集合的下近似与上近似的变化关系;最后,分别在随机多尺度序信息系统和基于优势-等价关系的随机多尺度序决策系统中定义了几类最优尺度的概念,并用证据理论中的信任函数与似然函数刻画了最优尺度的数值特征。Aiming at the knowledge acquisition problem of multi-scale ordered information system obtained from random experiments,concepts of random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are first introduced.Information granules in random multi-scale ordered information systems as well as lower and upper approximations of sets with respect to dominance relations induced by conditional attribute set under different scales are then described.Their relationships are also clarified.Finally,concepts of several types of optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are defined.It is proved that belief and plausibility functions in the Dempster-Shafer theory of evidence can be used to characterize some optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems,respectively.

关 键 词：粗糙集 粒计算 多尺度序信息系统 信任函数 最优尺度 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]