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| 由某些函数构造的状态变权 | |
| 引用本文： | 侯海军,谷云东,王加银.由某些函数构造的状态变权[J].模糊系统与数学,2005,19(4):119-124. |
| 作者姓名： | 侯海军 谷云东 王加银 |
| 作者单位： | 1. 北京师范大学,数学学院,北京,100875;商丘师范学院,数学系,河南,商丘,476000 2. 北京师范大学,数学学院,北京,100875;北京师范大学,管理学院,北京,100875 3. 北京师范大学,数学学院,北京,100875 |
| 基金项目： | 国家自然科学基金资助项目（60174023）;教育部博士点基金资助项目（20020027013）;教育部科学技术重点资助项目（03184）;973国家重大基础研究计划资助项目（2002CB312200） |
| 摘 要： | 研究状态变权的构造问题，给出一种由多元函数和已知状态变权构造新状态变权和三种由多元函数直接构造状态变权的方法。特别地，证明了文5]由状态均值构造状态变权的方法都可看作是函数构造状态变权的特例，并进一步给出一种基于几何均值的状态变权构造方法。 |
| 关 键 词： | 变权综合 状态变权构造 多元函数 |
| 文章编号： | 1001-7402（2005）04-0119-06 |
| 收稿时间： | 2004-07-14 |
| 修稿时间： | 2004年7月14日 |
State Variable Weight Vectors Construction Based on Functions |
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| HOU Hai-jun,GU Yun-dong,WANG Jia-yin.State Variable Weight Vectors Construction Based on Functions[J].Fuzzy Systems and Mathematics,2005,19(4):119-124. | |
| Authors: | HOU Hai-jun GU Yun-dong WANG Jia-yin |
| Institution: | 1. School of Mathematical science, Beijing Normal University, Beijing 100875,China 2. Department of Mathematics,Shangqiu Normal College,Shangqiu 476000,China; 3. School of Management, Beijing Normal University,Beijing 100875,China |
| Abstract: | The state variable weight construction based on function of many variables and known state variable weight vectors as well as three kinds of direct construction methods by using different kinds of function of many variables are provided. Specially, it is proved that the state variable weight construction method based on the mean value of state vector is a special case of state variable weight construction through function. At last, the state variable weight construction based on geometric mean value is introduced. |
| Keywords: | Multi-factor Synthesis Decision-making State Variable Weights Construction Functionof Many Variables |
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