基于传递闭包的系统影响因素的结构分析方法  

Structural Analysis Method of System Influencing Factors Based on Transitive Closure

作　　者：殷剑宏[1] 金菊良[2,3] 吴开亚[4] 潘争伟[5] 

机构地区：[1]合肥工业大学计算机与信息学院,安徽合肥230009 [2]合肥工业大学土木与水利工程学院,安徽合肥230009 [3]合肥工业大学水资源与环境系统工程研究所,安徽合肥230009 [4]复旦大学公共管理与公共政策创新基地,上海200433 [5]安徽新华学院土木与环境工程学院,安徽合肥230088

出　　处：《水电能源科学》2013年第9期164-167,248,共5页Water Resources and Power

基　　金：水利部公益性行业科研专项经费基金资助项目(201301003);国家水体污染控制与治理科技重大专项基金资助项目(2009ZX07106-001);国家自然科学基金资助项目(71273081;71173047)

摘　　要：为将大系统中各要素间复杂、散乱的关系分解为清晰、系统的多级递阶的结构形式,基于传递闭包理论中的关系图和关系矩阵,提出一种基于传递闭包的复杂系统影响因素的结构分析方法,并介绍了实现该方法的步骤。与系统解释结构模型相比,该方法从理论上将可达矩阵改进为清晰简便的逻辑计算,给出了求骨架矩阵的理论基础和代数方法,计算更为简便、适用性更强,在复杂水资源系统评价与调控等方面具有广泛的应用前景。Aiming at the effective relationship decomposition from complicated messy relationship between various el- ements in large complex system to multilevel hierarchical structure, based on the transitive closure, and using the theory of relation graph and relation matrix, the structural analysis method of factors affecting system is given, and it elaborates on the theoretical basis of the method. The method is theoretically clear and simple logic calculation instead of the past exploratory computing accessibility matrix, seeking skeleton matrix theory foundation and logistic algebraic computation. The new method is very simple by comparing with interpretative structural modeling, and it has wide range of application to evaluate and regulate complex water resources system.

关 键 词：复杂系统 结构分析 影响因素识别 传递闭包 关系图 关系矩阵 

分 类 号：TV213.9[水利工程—水文学及水资源] P333[天文地球—水文科学]