多维数据库和空间多维数据的数学模型与人工智能

Mathematical Model and Artificial Intelligence of Multidimensional Database and Spatial Multidimensional Data

多维数据模型是定义了数据仓库的度量和维度结构的数据模型,文中尝试在传统多维数据模型中引进空间距离,从而构造出了空间多维数据模型和空间立方体.简化的逻辑数学公式可以表示各种多维数据库及空间多维数据结构拓扑图,通过建立数学模型可进行计算求解.分析表明,从多维数据库及空间多维数据模型可生成多种新的数学模型,使得多维数据逻辑关系更简单实用、安全可信,并且适用于多种类型多维数据模型的应用环境.除此之外,在多维数据库及空间多维数据分析中将人工智能用于处理多维数据,可用于排错、优化和速度计算等用途.

Multidimensional data model is a data model that defines the measurement and dimension structure of data warehouse.This paper attempts to introduce spatial distance into the traditional multidimensional data model,so as to construct the spatial multidimensional data model and spatial cube.The simplified logical mathematical formula can represent all kinds of multi-dimensional database and spatial multi-dimensional data structure topology,and can be calculated and solved by establishing mathematical model.It is proved that many new mathematical models can be generated from multidimensional database and spatial multidimensional data model,which makes the logical relationship of multidimensional data more simple,practical,safe and reliable,and is suitable for the application environment of various types of multidimensional data model.In addition,artificial intelligence is used to process multidimensional data in multidimensional database and spatial multidimensional data analysis,which can be used for troubleshooting,optimization,speed calculation and other purposes.