偏联系数的参数影响分析  

Parameter Influence Analysis of Partial Connection Number

作　　者：刘杨 张春英 LIU Yang;ZHANG Chunying(College of Science,North China University of Science and Technology,Tangshan Hebei 063210,China)

机构地区：[1]华北理工大学理学院,河北唐山063210

出　　处：《华北理工大学学报(自然科学版)》2025年第2期105-113,共9页Journal of North China University of Science and Technology:Natural Science Edition

基　　金：河北省教育厅科学研究项目(QN2024252):伪随机序列的泛化设计及其随机特性研究。

摘　　要：偏联系数作为一种新的数学工具在很多领域得到了广泛的应用,大部分系统态势分析问题均需根据实际情况选择不同的参数。参数不同对系统演变态势有极大影响,本文分别研究二元、三元及四元联系数构造的偏联系数中,各参数对系统态势演化的影响,分析系统态势对于不确定信息处理起到的重要作用。在不同集合的元素构成中,当元素出现不确定关系,不能确定元素之间为相同或是相反关系时,偏联系数能够从微观层次上对整体进行更加细致的微观刻画,以数的方式直观展示系统的演化程度。并且偏联系数中的参数运动对联系数系统产生的偏向,在层次边界的处理上细化了参数的作用,对系统的模糊性分析以及动态结构分析做了说明。As a new mathematical tool,partial connection number has been widely used in many fields,and most system situation analysis problems need to choose different parameters according to the actual situation.Different parameters have great influence on the evolution of the system.The influence of each parameter was studied on the evolution of the system situation in the partial connection numbers constructed by binary,ternary and quaternary connection numbers respectively,and the important role of the system situation was analyzed in dealing with uncertain information.In the composition of elements in different sets,when the elements are uncertain and it is impossible to determine whether the elements are the same or the opposite,the partial connection number can describe the whole in a more detailed micro-level and show the evolution degree of the system intuitively in a numerical way.Moreover,the deviation of the parameter movement in the partial connection number to the joint coefficient system refines the role of parameters in the handling of hierarchical boundaries,and explains the fuzzy analysis and dynamic structure analysis of the system.

关 键 词：集对分析 联系数 偏联系数 系统态势 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]