| 基于对称交互熵的多属性决策排序法 |
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| 引用本文： | 卢国祥,李冰清.基于对称交互熵的多属性决策排序法[J].数学杂志,2016,36(6):1253-1260. |
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| 作者姓名： | 卢国祥 李冰清 |
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| 作者单位： | 中南财经政法大学统计与数学学院, 湖北 武汉 430073;南开大学金融学院, 天津 300071;南开大学经济学院, 天津 300071,南开大学金融学院, 天津 300071 |
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| 基金项目： | 国家自然科学基金项目(71001107;71171119);博士后基金资助项目(2015M571255);中央高校基本科研业务费专项资金项目(2722013JC082). |
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| 摘 要： | 本义研究了多属性决策的排序问题.利用信息熵理论提出了对称交互熵概念,定义了一种新的与理想方案的贴近度,由此给出了基于对称交互熵的排序方法.最后通过算例将新方法与传统的TOPSIS法、夹角度量法和正交投影法作对比,获得了新方法能够更加精确地判断方案优劣的结果.
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| 关 键 词： | 多属性决策 对称交互熵 TOPSIS法 相对贴近度 |
| 收稿时间： | 2015/4/15 0:00:00 |
| 修稿时间： | 2015/12/23 0:00:00 |
EVALUATION METHOD BASED ON SYMMETRIC CROSS ENTROPY FOR MULTIPLE ATTRIBUTE DECISION MAKING |
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| LU Guo-xiang and LI Bing-qing.EVALUATION METHOD BASED ON SYMMETRIC CROSS ENTROPY FOR MULTIPLE ATTRIBUTE DECISION MAKING[J].Journal of Mathematics,2016,36(6):1253-1260. |
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| Authors: | LU Guo-xiang and LI Bing-qing |
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| Institution: | School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China;School of Finance, Nankai University, Tianjin 300071, China;School of Economics, Nankai University, Tianjin 300071, China and School of Finance, Nankai University, Tianjin 300071, China |
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| Abstract: | The evaluation problem for multiple attribute decision making is studied in this paper. By using the symmetric cross entropy which comes from the information entropy theory, a new relative closeness to the ideal solutions is defined. Therefore, a new evaluation method based on symmetric cross entropy for multiple attribute decision making is developed. Finally, the new method is compared with traditional TOPSIS method, angle measure evaluation method and vertical projection method using merical examples and it can obtain more precise results. |
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| Keywords: | multiple attribute decision making symmetric cross entropy TOPSIS method relative closeness |
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