运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
5期
155-159
,共5页
综合评价%欧式范数%IOWA算子%正态分布
綜閤評價%歐式範數%IOWA算子%正態分佈
종합평개%구식범수%IOWA산자%정태분포
comprehensive evaluation%euclidean norm%IOWA operator%normal distribution
针对综合评价信息不完整、分布不均匀以及现实中人们总是主观性地经常“向后看”这一问题,提出了基于区间数有序加权平均算子( IOWA算子)的欧式范数综合评价方法。本文首先介绍了IOWA算子的相关知识;然后依据IOWA算子的特点,运用正态分布确定其位置加权向量,并与欧式范数结合形成加权欧式范数;最后运用一个算例验证了方法的有效性,既能充分考虑评价信息的分布情况,又使得评价更加客观准确。
針對綜閤評價信息不完整、分佈不均勻以及現實中人們總是主觀性地經常“嚮後看”這一問題,提齣瞭基于區間數有序加權平均算子( IOWA算子)的歐式範數綜閤評價方法。本文首先介紹瞭IOWA算子的相關知識;然後依據IOWA算子的特點,運用正態分佈確定其位置加權嚮量,併與歐式範數結閤形成加權歐式範數;最後運用一箇算例驗證瞭方法的有效性,既能充分攷慮評價信息的分佈情況,又使得評價更加客觀準確。
침대종합평개신식불완정、분포불균균이급현실중인문총시주관성지경상“향후간”저일문제,제출료기우구간수유서가권평균산자( IOWA산자)적구식범수종합평개방법。본문수선개소료IOWA산자적상관지식;연후의거IOWA산자적특점,운용정태분포학정기위치가권향량,병여구식범수결합형성가권구식범수;최후운용일개산례험증료방법적유효성,기능충분고필평개신식적분포정황,우사득평개경가객관준학。
Considering that the information is incomplete and unevenly distributed in comprehensive evaluation , and people often subjectively “look back” in reality , a comprehensive evaluation method of Euclidean norm based on the interval number ordered weighted averaging operator ( IOWA operator ) is proposed.Firstly, the paper introduces the related knowledge about IOWA operator .Then, based on the characteristics of the IOWA operator, it employs the normal distribution to determine the position weight vector , and combines the weight vector with Euclidean norm to form weighted Euclidean norm effectively .Finally, the paper gives an example to verify the effectiveness of the method proposed , which considers the distribution of evaluation information fully and makes the evaluation more objective and accurate .