数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
21期
45-51
,共7页
纪澍琴%李亚军%贺延国%金龙海
紀澍琴%李亞軍%賀延國%金龍海
기주금%리아군%하연국%금룡해
草坪质量%综合评价%投影寻踪%等级
草坪質量%綜閤評價%投影尋蹤%等級
초평질량%종합평개%투영심종%등급
turfquality%comprehensive evaluation%projection pursuit%grade
针对以往草坪质量评价方法存在人为权重赋值误差,以及简便计算等方面的不足的问题,提出了草坪坪用质量指标评定的投影寻踪等级评价模型.该方法可以依据标准样本自身的数据特性寻求最佳投影方向,通过最佳投影方向与评价指标的线性投影得到投影指标值,通过这一指标可以对样本进行统一评价和分类,并可利用最佳投影方向判断各评价指标对综合评价目标的贡献大小.排除人为权重干扰,对哈尔滨地区引种的冰草(Agropyron elongatum)坪用质量进行了综合判定.
針對以往草坪質量評價方法存在人為權重賦值誤差,以及簡便計算等方麵的不足的問題,提齣瞭草坪坪用質量指標評定的投影尋蹤等級評價模型.該方法可以依據標準樣本自身的數據特性尋求最佳投影方嚮,通過最佳投影方嚮與評價指標的線性投影得到投影指標值,通過這一指標可以對樣本進行統一評價和分類,併可利用最佳投影方嚮判斷各評價指標對綜閤評價目標的貢獻大小.排除人為權重榦擾,對哈爾濱地區引種的冰草(Agropyron elongatum)坪用質量進行瞭綜閤判定.
침대이왕초평질량평개방법존재인위권중부치오차,이급간편계산등방면적불족적문제,제출료초평평용질량지표평정적투영심종등급평개모형.해방법가이의거표준양본자신적수거특성심구최가투영방향,통과최가투영방향여평개지표적선성투영득도투영지표치,통과저일지표가이대양본진행통일평개화분류,병가이용최가투영방향판단각평개지표대종합평개목표적공헌대소.배제인위권중간우,대합이빈지구인충적빙초(Agropyron elongatum)평용질량진행료종합판정.
Projection pursuit grade evaluation model based on genetic algorithm, was used to avoid jamming of weight matrix and simplify the mathematic calculation in the other method of comprehensive evaluation system of turf quality. Projection pursuit can be used to project high dimensional data to low dimensional space and find the optimum projection vector of data in one-dimensional space, which is helpful to comprehensively evaluate the value and direction of every index in comprehensive evaluation. The projection index value was given by multiplying projection vector by grading standardization value of evaluation indices, which can synthesize the characteristics of turf samples. The method removed jamming of weight matrix, and was used to comprehensively evaluate the turf quality grade criterion of Agropyron Gaerm in Haerbin.