摘要
具有社会关系结构的经济系统及通讯网络系统等许多现实的系统理论常常归结为赋点权的连通网络系统的研究．本文对节点加权的连通的网络系统引进了点权核与点权核度的概念，推广了［４］中核与核度的概念，研究了点权核与点权核度的基本理论，证明了点权核度的取值范围与点权核、点权核度的计算结构定理．同时还通过引入极大点权核的连通包等概念提出一种新的点权网络系统的层次分析法．
Many practical systems, such as the economical system with social relational structure and communication system, are usually described as the point weighted connected network system (PWCNS). The concepts, core and coritivity of PWCNS (PW-core and PW-coritivity) are defined in this paper. It generalizes the concepts of core and coritivity in nonweighted connected network system, which was developed in [4]. The basic theory of PW-coritivity is studied. The computation structure theorem of PW-core and PW-coritivity is proved. Using the definition of maximal PW-core connected envelope. a new method of hierarchy analysis PWCNS has been developed.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
1996年第6期58-63,共6页
Systems Engineering-Theory & Practice
基金
国家自然科学基金
