|
|
论文:2013,Vol:31,Issue(2):255-258 |
|
|
引用本文： |
|
|
张彦峰. 基于灰色关联分析的相对熵集结模型[J]. 西北工业大学 |
|
|
Zhang Yanfeng. An Effective REM Assembly Based on the Grey Correlation Analysis[J]. Northwestern polytechnical university |
|
|
|
|
|
|
|
| 基于灰色关联分析的相对熵集结模型 |
|
| 张彦峰 |
|
| 西北工业大学 机电学院, 陕西 西安 710072 |
| 摘要: |
| 针对传统的相对熵集结模型在赋权方面存在的缺陷,提出了一种基于灰色关联分析的REM。首先应用数值代数中的幂法得到理想的评分向量,再应用灰色关联分析计算理想评分向量与各个专家的评分向量之间的关联度,以此作为专家权重系数,最后将专家权重应用于相对熵集结模型中,来集结专家群组的一致性。通过对嵌入式计算机的性能评价结果表明该方法是有效的,而且可靠性得到很大的提高。 |
| 关键词:
权重
相对熵集结模型
灰色系统理论
灰色关联分析理论
|
|
| An Effective REM Assembly Based on the Grey Correlation Analysis |
|
| Zhang Yanfeng |
|
| School of Mechatronics,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| In view of the irrationality of traditional REM assembly in assigning weights,which can result in wrongevaluation results in a group decision-making, we present the REM assembly based on the grey correlation analysis,which we believe is effective. Firstly,we constructed the ideal score vector by the power method,and the weightsof each decision-maker are calculated by the grey correlation degree between the decision results of each individualand the ideal score vector. Finally,we apply weights to relative entropy assembly model to assemble group consis-tency. A numerical example is given in section 2 of the full paper; the simulation results and their analysis showpreliminarily the effectiveness of this algorithm. |
| Key words:
algorithms
computer simulation
decision making
efficiency
embedded systems
entropy;grey cor-relation analysis
relative entropy
weight
|
|
| 收稿日期: 2012-06-02
修回日期:
|
| DOI: |
| 基金项目: 国家自然科学基金(60573101)资助 |
| 通讯作者:
Email： |
| 作者简介: 张彦峰(1968-),西北工业大学博士研究生,主要从事决策支持系统、知识系统及管理信息系统工程的研究。
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] 宋 捷, 党耀国, 花增木. 基于灰色聚类的群决策方法研究. 控制与决策, 2010, 25(10): 1594-1597Song Jie,Dang Yaoguo,Hua Zengmu. Study on Group Decision-Making Method Based on Grey Cluster Model. Control and De-cision, 2010, 25(10): 1594-1597 (in Chinese)
[2] 徐玖平, 吴 巍. 多属性决策理论与方法. 北京: 清华大学出版社, 2006Xu Jiuping,Wu Wei. Multiple Attribute Decision Making Theory and Methods. Beijing: Tsinghua University Press,2006 (in Chinese)
[3] 万 俊, 邢焕革, 张晓晖. 基于熵理论的多属性群决策专家权重的调整算法. 控制与决策, 2010, 25(6): 907-910Wan Jun,Xing Huange,Zhang Xiaohui. Algorithm of Adjusting Weights of Decision-Makers in Multi-Attribute Group Decision-Making Based on Entropy Theory. Control and Decision, 2010, 25(6): 907-910 (in Chinese)
[4] 马永红, 周荣喜, 李振光. 基于离差最大化的决策者权重的确定方法. 北京工业大学学报, 2007, 34(2): 177-180Ma Yonghong,Zhou Rongxi,Li Zhenguang. The Method of Determining the Weights of Decision-Makers Based on the Maximi-zing Deviation. Journal of Beijing University of Chemical Technology (Natural Science Edition),2007,34(2): 177-180 (inChinese)
[5] 刘政业, 徐德鹏, 姜元春. 多属性群决策中权重自适应调整的方法. 系统工程与电子技术, 2007, 29(1): 45-48Liu Zhengye, Xu Depeng, Jiang Yuanchun. Method of Adaptive Adjustment Weights in Multi-Attribute Group Decision-Making.Systems Engineering and Electronics, 2007, 29(1): 45-48 (in Chinese)
[6] 邱菀华. 管理决策与应用熵学. 北京:机械工业出版社, 2001Qiu Wanhua. Management Decision-Making and Application of Entropy. Beijing: Machinery Industry Press, 2001 (in Chinese)
[7] 邱菀华, 刘北上, 侯琳琳. 基于熵可靠性的相对熵集结模型. 系统工程, 2008, 26(5): 80-84Qiu Wanhua,Liu Beishang,Hou Linlin. REM Assembly Based on the Reliability of Entropy. Systems Engineering,2008, 26(5): 80-84 (in Chinese)
[8] 刘思峰, 党耀国, 方志耕. 灰色系统理论及其应用. 北京: 科学出版社, 2010Liu Sifeng,Dang Yaoguo,Fang Zhigeng. Grey System Theory and Its Application. Beijing: Science Press, 2010 (in Chinese)
[9] 邓聚龙. 灰理论基础. 武汉: 华中科技大学出版社, 2002Deng Julong. Grey Theoretical Basis. Wuhan: Huazhong University of Science and Technology Press, 2002 (in Chinese)
[10] 李杨庆, 王能超, 易大义. 数值分析. 北京: 清华大学出版社, 2001Li Yangqin,Wang Nengchao,Yi Dayi. Numerical Analysis. Beijing: Tsinghua University Press, 2001 (in Chinese) |
|
|
|
|
|
|
|
