摘要
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。
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 .
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2014年第5期155-159,共5页
Operations Research and Management Science
基金
国家自然科学基金资助项目(71361021
71001048)
国家社会科学基金(11BGL063
12FJL002)
江西省社会科学"十二五规划"项目(13GL38)
江西省教育厅科技项目(GJJ12129)
关键词
综合评价
欧式范数
IOWA算子
正态分布
comprehensive evaluation
euclidean norm
IOWA operator
normal distribution
