多尺度集值决策信息系统  

Multi-scale set value decision information system

作　　者：陈应生[1,2] 李进金 林荣德[1,2] 陈东晓[1,2] 黄哲煌 CHEN Ying-sheng;LI Jin-jin;LIN Rong-de;CHEN Dong-xiao;HUANG Zhe-huang(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China;Fujian Province University Key Laboratory of Computational Science,Huaqiao University,Quanzhou 362021,China;School of Mathematics Sciences and Statistics,Minnan Normal University,Zhangzhou 363000,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：《控制与决策》2022年第2期455-463,共9页Control and Decision

基　　金：国家自然科学基金项目(11871259);福建省高校创新团队发展计划泉州市高层次人才团队项目(2017ZT012)。

摘　　要：集值信息系统中的对象的属性值多值化,可以实现对复杂信息更全面的刻画.在传统的集值信息系统中,每个属性只有一个尺度.但在具体应用中,人们往往需要在不同的尺度上处理和分析数据.为此,将多尺度信息系统的粒度转换函数引入集值信息系统中,建立多尺度集值信息系统的理论框架,并讨论该系统的不同尺度间信息粒、粗糙集的关系.在此基础上,建立多尺度集值决策信息系统的粒计算模型,并讨论该模型不同尺度间协调性的传递性质.最后,讨论了协调和不协调的多尺度集值决策信息系统的最优尺度选择方法.所提出的改进型多尺度决策信息系统的粒计算模型,在理论分析和实际应用中具有一定的价值.The set-valued information system allows the object to have attributes multi-valued to achieve a more comprehensive description of complex information.In traditional set-valued information systems,each attribute has only one scale.But in the specific application process,people often need to process and analyze the data at different scales.In this paper,the granularity transformation function of a multi-scale information system is introduced into the set-valued information system,and the theoretical framework of the multi-scale set-valued information system is established.The relationship of information grains and rough sets between different scales of the system is discussed.On this basis,a multi-scale set-valued decision information system model is established.The transfer properties of consistent between different scales of the model are discussed.Then,we discuss the optimal scale selection method for a consistent and inconsistent multi-scale set-valued decision information system.The improved granular computing model of multi-scale decision information system has certain value in theoretical analysis and practical application.

关 键 词：粒计算 粗糙集 集值决策信息系统 粒度转换函数 多尺度 最优尺度选择 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]