| 基于DEA的加权灰色关联分析方法 |
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| 引用本文： | 杨印生,谢鹏扬,李洪伟.基于DEA的加权灰色关联分析方法[J].吉林大学学报(工学版),2003,33(1):98-101. |
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| 作者姓名： | 杨印生 谢鹏扬 李洪伟 |
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| 作者单位： | 吉林大学,生物与农业工程学院,吉林,长春,130025 |
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| 基金项目： | 国家自然科学基金资助项目(70171018),教育部优秀青年教师基金资助计划项目,吉林省自然科学基金资助项目(20000529) |
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| 摘 要： | 提出了一种基于数据包络分析(DataEnvelopmentAnalysis,简记DEA)的新的加权灰色关联分析方法。该方法综合了DEA和灰色关联分析两种方法的优势,以灰色关联分析为中心模型,以DEA模型为辅助模型,通过DEA模型来确定每一个子因素各点关联系数的权重向量,从而计算出相对最优的关联度,实现对各因素客观的优先排序。基于DEA方法的加权灰色关联分析方法既克服了确定权重时的主观性,又通过"非均一"赋权达到了优先序评价的"最优性",从而实现了分析结果的"公正性"。最后通过绿色产品的评价实例说明了方法的有效性。
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| 关 键 词： | 数据包络分析 灰色系统 关联分析 加权 |
| 文章编号： | 1671-5497(2003)01-0098-04 |
Weighted Gray Correlational Analysis Method Based on DEA |
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| Abstract: | A new method called weighted gray correlational analysis method based on DEA (Data Envelopment Analysis) is presented.It integrates favorable aspects of both DEA and gray correlational analysis,and takes gray correlational analysis as a central model and DEA as auxiliary model.DEA determines the weight vector of correlation coefficients for each sub factor to calculate the relatively optimal correlation degrees and then realizes the priority order of each sub factor by them.The weighted gray correlational analysis method based on DEA not only overcomes the subjectivity when the weight vector is determined,but also gets the optimality of the prior order evaluation by non uniform weight.By this way,its fairity of the analyzing result is shown.Finally,an example of green products assessment is given to prove its validity. |
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| Keywords: | data envelopment analysis gray system correlational analysis weighted |
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