| 区间灰数的灰色变权与定权聚类模型 |
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| 引用本文： | 周伟杰,党耀国,熊萍萍,刘红生.区间灰数的灰色变权与定权聚类模型[J].系统工程理论与实践,2013,33(10):2590-2595. |
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| 作者姓名： | 周伟杰 党耀国 熊萍萍 刘红生 |
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| 作者单位： | 1. 南京航空航天大学 经济与管理学院, 南京 210016;2. 南京信息工程大学 数理学院, 南京 210044 |
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| 基金项目： | 国家自然科学基金面上项目(71071077); 国家自然科学基金(70902026); 南京航空航天大学博士学位论文创新创优基金(BCXJ10-13);全国教育科学规划教育部重点课题(DFA090215) |
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| 摘 要： | 针对观测值为区间灰数的灰色聚类问题, 通过构建区间灰数集上的积分均值函数, 将实数域上单一观测值的白化权函数推广到观测值为区间灰数的情形, 并给出了上限、适中、下限测度白化权函数的区间灰数形式, 进而建立了区间灰数的灰色变权、定权聚类模型, 并开发了该模型的人机交互式界面软件. 最后将该模型应用于高校教师工作绩效评估, 说明了该方法的有效性和实用性.
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| 关 键 词： | 区间灰数 积分均值函数 灰色变权、定权聚类 |
| 收稿时间： | 2011-08-02 |
Grey clustering model for interval grey number with variable and fixed weights |
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| ZHOU Wei-jie,DANG Yao-guo,XIONG Ping-ping,LIU Hong-sheng.Grey clustering model for interval grey number with variable and fixed weights[J].Systems Engineering —Theory & Practice,2013,33(10):2590-2595. |
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| Authors: | ZHOU Wei-jie DANG Yao-guo XIONG Ping-ping LIU Hong-sheng |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China |
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| Abstract: | Traditional grey clustering models were based on real numbers, but not for grey number. In order to solve the problem, by building interval mean function on interval grey number set, the whitenization weight function on real number field was extended to interval grey number, and upper limit, moderate, lower limit measure of whitenization weight functions were given by the form of interval grey number. Then, we establish the grey clustering model for interval grey number with variable and fixed weights, and develop the man-machine interactive interface software of this model. Finally, the model is applied to evaluate job performance of university teachers, indicating that the method is effective and practical. |
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| Keywords: | interval grey number integral mean function grey clustering with variable and fixed weights |
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