文档介绍：交通网络可达性结构的矩阵分析摘要通过矩阵标准型的研究,把文献中交通网络最大路宽的讨论,从两点之间推广到整体结构上,为网络可达性的改善及其程度分析提供理论根据和实用方法。本文首先定义了诸可达概念及其等价刻画,通过布尔阵标准型及其传递闭包的讨论,揭示了网络极大局部可达集与矩阵标准型、传递闭包的关系,建立了网络局部可达的框架结构,并通过标准型为改善网络可达性提供方法。在完成了可达程度及其矩阵刻画的基础上,提出了极大强支的概念,由之建立了模糊阵的一种标准型,实现了对网络的最大可达程度分析。给出了极小强支的等价定义,讨论了模糊矩阵的标准型与极小强支关系,从而得到了模糊矩阵周期是极小强支周期的最小公倍数的定理。并讨论了极小强支的周期与圈空指数的关系。本文以航空交通网络为背景,着眼于可达性整体结构的分析和最大可达程度等问题,为网络分析和设计提供了实用的方法。给出的新的概念和工具丰富了模糊矩阵的理论,增加了模糊矩阵的内容。关键词:模糊矩阵交通网络可达分析标准型 Matrix Analysis of Reachability Structure work Abstract The discussiorl of the maximum road width inthe work iSextended from two vertices to the whole structure on the basis of the study ofthe matrix standard paper proddes theories and practical methods fortheimprovement of work reachability and itsdegree analysis. Inthepaper,the kinds ofreachability notions aredefmed and charactered firstly intheir the discussion ofthematrix standard form and itstransitiveclosure, therelationamong themaximum partial reachability sets,the standard form ofthematrix and itstransitive closure areposted and work partialreachability standard formprovides methods fortheimprovement work reachability. The reachability degree and itsmatrix character have been done,when themaximum ponent thebasisof themaximum ponent,the standard form inFuzzy Matrix isgiven,and themaximum reachabilitydegree analysis work isrealized. The equivalent definition of theminimal ponent isgiven,and itdiscusses the relation between the standard form and the minimal ponent inthe paper. Consequently,the theory isproved thattheperiodicity of afuzzy maaix istheleast conullon multiple ofperiodicity ofitsminimal ponenL Lastly,the paper studies the periodici哆of theminimal ponents and thecircularly dominating index. The paper hasthe work as eyes on the whole structure analysis and themaximum reachability degree,andproddes methods for workanalysis ncw given concepts and tools notonly extend thetheory offuzzy matrix,but