多尺度形式背景及其粗糙近似  

Rough approximation in multi-scale formal context

作　　者：陈东晓[1,2] 李进金 林荣德 陈应生[1] CHEN Dong-xiao;LI Jin-jin;LIN Rong-de;CHEN Ying-sheng(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,Fujian,China;Fujian Province University Key La-boratory of Computational Science,Huaqiao University,Quanzhou 362021,Fujian,China;School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,Fujian,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021 [2]华侨大学计算科学福建省高校重点实验室,福建泉州362021 [3]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《山东大学学报（理学版）》2020年第5期22-31,共10页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11871259,61379021,11701258)。

摘　　要：首先提出一种新的多尺度形式背景的概念。在该背景中,随着尺度的变化,每一个属性所拥有对象呈现单调性的变化。其次,引入形式背景的粗糙近似概念,并讨论在多尺度形式背景下,不同尺度下近似集的关系。最后,在多尺度形式背景和决策多尺度形式背景下,通过借助信任函数和似然函数,研究它们在不同尺度下的关系,给出上、下近似协调集的定义。Firstly, a kind of multi-scale formal context is proposed in this paper. In this context, with the change of scale, the objects owned by each attribute change monotonously. Furthermore, the concept of rough approximation in multi-scale formal context is introduced, and the relationship between approximation sets in different scales is discussed. Finally, the belief and plausibility functions from the evidence theory are employed to introduce the definitions of upper and lower approximate consistent sets in multi-scale formal context and multi-scale formal decision context.

关 键 词：多尺度形式背景 近似概念 证据理论 上、下近似 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]