多尺度集值信息系统及其最优尺度选择  

Multi-scale Set-valued Information System and Its Optimal Scale Selection

作　　者：陈艳[1] 胡军[1] 张清华[1] 王国胤[1] CHEN Yan;HU Jun;ZHANG Qinghua;WANG Guoyin(Chongqing Key Laboratory of Computational Intelligence,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学重庆计算智能重点实验室,重庆400065

出　　处：《山西大学学报（自然科学版）》2020年第4期765-775,共11页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61876201,61876027,61806031);重庆市人工智能技术创新重大主题专项项目(cstc2017rgzn-zdyfX0040);重庆市基础研究与前沿探索专项项目(cstc2017jcyjAX0406,cstc2017jcyjAX0325);重庆市教委科学技术研究计划项目(KJQN201800638)。

摘　　要：多尺度信息系统是一种特殊的信息系统,其属性的取值存在多个尺度。现有的研究只讨论了每个对象在一个属性的各个尺度上取一个值的信息系统。但是,在一些实际的数据集中,对象的属性值可能不限于单个值,而是多个值,即集值。为此,文章提出了多尺度集值信息系统的概念。然后,定义了多尺度集值信息系统中对象的相似关系,研究了不同尺度下的粗糙近似及其相关性质。在多尺度集值决策系统中,给出了广义决策、上近似分布、下近似分布和正域的定义,并提出了相应的最优尺度判定准则。最后,从一致性和不一致性的角度分析了不同准则下的最优尺度之间的关系。The multi-scale information system is often studied as a special information system.The existing researches only discuss the information system that each object only takes a single value at all scales of an attribute.However,in some real-world data sets,the attribute value of an object is not limited to a single-value,but may take multiple values,namely a set-value.We propose the concept of multi-scale set-valued information system.The rough approximation at different scales and its related properties can be obtained via the similarity relation between objects in a multi-scale set-valued information system.In addition,the definition of optimal scale is proposed based on the generalized decision,upper approximation distribution,lower approximation distribution,and positive region in a multi-scale set-valued decision system.The relationships among these optimal scales based on different criterions are further analyzed from the perspectives of consistency and inconsistency.

关 键 词：多尺度集值信息系统 粗糙近似 相似关系 最优尺度 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]