| 基于IOWA算子的欧式范数综合评价方法 |
| |
| 引用本文： | 张发明,闻琴.基于IOWA算子的欧式范数综合评价方法[J].运筹与管理,2014,23(5):155-159. |
| |
| 作者姓名： | 张发明 闻琴 |
| |
| 作者单位： | 南昌大学 经济与管理学院,江西 南昌 330031 |
| |
| 基金项目： | 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) |
| |
| 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。
|
| 关 键 词： | 综合评价 欧式范数 IOWA算子 正态分布 |
| 收稿时间： | 2013-09-17 |
A Comprehensive Evaluation Method of Euclidean Norm Based on OWA Operator |
| |
| ZHANG Fa-ming,WEN Qin.A Comprehensive Evaluation Method of Euclidean Norm Based on OWA Operator[J].Operations Research and Management Science,2014,23(5):155-159. |
| |
| Authors: | ZHANG Fa-ming WEN Qin |
| |
| Institution: | School of Economics ＆ Management, Nanchang University, Nanchang 330031, China |
| |
| Abstract: | 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. |
| |
| Keywords: | comprehensive evaluation euclidean norm IOWA operator normal distribution |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《运筹与管理》浏览原始摘要信息 |
| 点击此处可从《运筹与管理》下载免费的PDF全文 |
|
