| 状态变权的一些性质与某些构造问题 |
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| 引用本文： | 侯海军,谷云东,王加银.状态变权的一些性质与某些构造问题[J].北京师范大学学报(自然科学版),2005,41(4):334-338. |
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| 作者姓名： | 侯海军 谷云东 王加银 |
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| 作者单位： | 北京师范大学数学科学学院,100875 北京;商丘师范学院数学系,476000,河南,商丘;北京师范大学管理学院,100875,北京;北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目，教育部科学技术基金，国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | 给出状态变权简化的等价条件,讨论状态变权的性质,给出若干由已知状态变权构造新状态变权的方法,证明了所有m维状态变权构成的集合关于加法、Hardarmard乘积、取大、取小运算都构成半群,并从等效性的角度讨论了新状态变权与原来状态变权的关系.
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| 关 键 词： | 变权综合 状态变权 半群 状态变权的等效性分析 |
| 收稿时间： | 2004-12-15 |
| 修稿时间： | 2004年12月15日 |
SOME PROPERTIES AND SOME CONSTRUCTION PROBLEMS OF STATE VARIABLE WEIGHT VECTORS |
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| Hou Haijun,Gu Yundong,Wang Jiayin.SOME PROPERTIES AND SOME CONSTRUCTION PROBLEMS OF STATE VARIABLE WEIGHT VECTORS[J].Journal of Beijing Normal University(Natural Science),2005,41(4):334-338. |
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| Authors: | Hou Haijun Gu Yundong Wang Jiayin |
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| Institution: | 1 College of Mathematical Sciences, Beijing Normal University, 100875, Beijing,China 2 Department of Mathematics,Shangqiu Normal College,476000,Shangqiu,Henan,China; 3 School of Management, Beijing Normal University, 100875, Beijing, China |
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| Abstract: | Some conditions and some properties of state variable weights are discussed. It is proved that the set of state variable weight is semi-group on addition, maximum, minimum and the Hadarmard product respectively. Some methods of constructing new state variable weights are given based on the results. The equivalence of constructed state variable weights and the original state variable weights are studied. |
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| Keywords: | Multi-factor synthesis decision-making state variable weights semi-group the equivalence of state variable weights |
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