基于层次纤维丛空间的流网络关联模型与算法研究——以首都核心区重要企业供销链关联的实证分析为例  

The Research of Correlation Model and Algorithm of Flow Network Based on fiber bundles of Sheaf Space——An Empirical Analysis of Main Supply and Sale Chain in Central Zone of Beijing

作　　者：白泉涌 沈体雁[2] 付广军[3] BAI Quan-yong;SHEN Ti-yan;FU Guang-jun(Beijing Information Technology Collge,Beijing 100018;Beijing University,Beijing 100871,China;State Taxation Administration,Beijing 100038,China)

机构地区：[1]北京信息职业技术学院,北京100018 [2]北京大学政府管理学院,北京100871 [3]国家税务总局,北京100038

出　　处：《中国软科学》2019年第S01期235-254,共20页China Soft Science

基　　金：北京市教委科技计划一般项目《层次流网络关联模型与算法研究》(KM201910857001),民建北京市委经济委员会、西城区委员会的重点课题.

摘　　要：为分析多层复杂网络流现象,规避传统平层模型分析的缺陷,本文扩展地利用现代数学的层化纤维丛空间、分次模、分次环与幺半群等,刻画出对应的抽象化内外部流网络结构体系.运用自然底空间投射的逆射,回归揭示像射隐藏的数据团内关系,刻画纤维丛的元数据关联.解构和标签了自然封装隐藏的数据及发现其流动路径,结合使用紧邻的垂直、贡献和依存三种基本流网络关系,协同粗糙模糊理论与大数据分析方法,运用网络流相关定理推导提出分析复杂层次流网络的关联模型与算法.利用中央核心区采集的重要供销货数据,给出相应层次流网络关联模型和强度分析方法并应用进行数据处理,同时对形成的层次供销货交易的流网络,"中心圆"梯次扩展的关联强度,做出具体的实证应用分析.应用验证了模型与算法的有效与实用性,为解决大数据分析中"深挖"隐性知识关系的难点,分析复杂层次流网络关系,提供了技术路径与方法.The aritlce was aPPlied the develoPing of modern mathematical fiber bundles of sheaf sPace,graded modules,and graded rings etc.Caused to be avoided some lacks of using traditional models on two dimension and analyzed the comPlex hierarchical flow network,it was corresPondingly constructed the abstract scheme of its flows network inside and outside.By means of deconstructed and labled the hidden data enclosed naturally,found their flowing Path,it was ProPosed the correlation model and algorithm for analyzing the comPlex hierarchical flow network by deducing the correlation theorems of network flows.Additionally these was aPPlied with three basic adjacent relationshiPs of vertical,contribution and dePendency on its data network flows,and it was Proceeding on the aPProach coexisted with rough-fuzzy set theory and big data analysis.Based on the suPPly and marketing data dealed with a certain tax bureau in Beijing,it was done by corresPonding these researching aPProach.However,on the hierarchical network flows of suPPly and marketing commercial business,and correlation degree of exPansion graded on the'center circle',it was given by a exPerimental analysis on detail.It done that verified the effectiveness and Practicability of the model and algorithm.It Provided for technology Path and aPProach for'deeP dig'knot of imPlicit knowledge relation,and analyzing relationshiPs on the comPlex hierarchical flow network.

关 键 词：层纤维丛空间 大数据分析 层次流网络 关联模型与算法 

分 类 号：F224[经济管理—国民经济]