秩亏水准网中多种定权方法的精度分析  

Accuracy Analysis of Multiple Weight Determination Methods in Rank Deficient Leveling Network

作　　者：龚栎澎 杨久东 李韧 陈志江 GONG Li-peng;YANG Jiu-dong;LI Ren;CHEN Zhi-jiang(College of Mining Engineering,North China University of Science and Technology,Tangshan Hebei 063210,China)

机构地区：[1]华北理工大学矿业工程学院,河北唐山063210

出　　处：《华北理工大学学报（自然科学版）》2020年第4期1-5,共5页Journal of North China University of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金(41574072);华北理工大学校青年基金(Z201634)。

摘　　要：针对距离定权的传统定权方法在秩亏水准网中不能在复杂地形中满足实际工程测量的平差需要的问题,在秩亏水准网平差中利用熵权理论定权及变异系数赋权法对传统定权方法进行了综合与改进,通过在定权时充分考虑其它因素的影响,重新分配了距离公里数和高差观测值的信息所占的比重,使得定权结果更加合理。结果表明:利用客观定权法进行定权的平差结果比传统定权方法精度更高,熵权法的平差精度高于变异系数赋权法,并且计算简便,是一种值得推广的定权方法。In order to solve the problem that the traditional method of distance weighting can’t meet the adjustment needs of actual engineering survey in the complex terrain, the entropy weighting theory and the variation coefficient weighting method wereused to synthesize and improve the traditional method of distance weighting in the adjustment of RSD leveling network. In the process of weighting, the influence of other factors couldbe fully considered,and the distance kilometers and height couldbe redistributed.The proportion of the information of the difference observations madethe weighting result more reasonable. The results show that the adjustment results of the objective weight method are higher than those of the traditional weight method, and the adjustment accuracy of entropy weight method is higher than that of the variation coefficient weight method, and the calculation is simple, which is worth popularizing.

关 键 词：熵权理论定权法 变异系数赋权法 传统定权 秩亏水准网平差 精度分析 

分 类 号：P207.2[天文地球—测绘科学与技术]