CAJ | 학술논문

针对区间数据点值化过程中所存在的＂代表性不足＂的缺陷,提出了基于正态分布的点值化方法并将之应用于区间主成分评价。通过与基于中心点值化的区间主成分法的比较,得到三个主要结论：第一,基于正态分布的点值化方法能将各样品的点值化结果导向指标均值,而非区间值的中心点;第二,基于正态分布的点值化结果增加了数据信息量;第三,基于正态分布点值化的区间主成分评价法提高了数据降维效果,具有更好的因子命名能力。应用结果表明,在考虑正态分布情况下,对区间数据的点值化处理方法具有较好的效果,基于正态分布点值化的方法可推广至基于区间数的评价和决策问题。
침대구간수거점치화과정중소존재적＂대표성불족＂적결함,제출료기우정태분포적점치화방법병장지응용우구간주성분평개。통과여기우중심점치화적구간주성분법적비교,득도삼개주요결론：제일,기우정태분포적점치화방법능장각양품적점치화결과도향지표균치,이비구간치적중심점;제이,기우정태분포적점치화결과증가료수거신식량;제삼,기우정태분포점치화적구간주성분평개법제고료수거강유효과,구유경호적인자명명능력。응용결과표명,재고필정태분포정황하,대구간수거적점치화처리방법구유교호적효과,기우정태분포점치화적방법가추엄지기우구간수적평개화결책문제。
Focusing on the defects of lacking in representation in the process of convert the interval-valued data into point-data,this paper proposes a new method based on normal distribution and applies it into interval-principal component analysis.There are three advantages compared with centers method of principal component analysis for interval-valued data.Firstly,the method of point estimation based on normal distribution can make the point estimation of cases to the mean of index,rather than the midpoint of interval-valued data.Secondly,the data’s point estimation based on normal distribution increases information quantity.Thirdly,interval principal component analysis based on the point estimation of normal distribution enhances the effect of data reduction,and has a better ability to name the factors.The result indicates that the new method can be extended to other methods of comprehensive evaluation or decision making based on interval-valued data.