| 状态变权向量的性质与构造 |
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| 引用本文： | 李德清,李洪兴. 状态变权向量的性质与构造[J]. 北京师范大学学报(自然科学版), 2002, 38(4): 455-461. DOI: 10.3321/j.issn:0476-0301.2002.04.006 |
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| 作者姓名： | 李德清 李洪兴 |
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| 作者单位： | 北京师范大学数学系,100875,北京 |
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| 基金项目： | 国家自然科学基金;69974006,60174013; |
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| 摘 要： | 首先讨论了状态变权向量的基本性质;然后,指出在满足一定的条件下基于这些性质可以由已知的状态变权向量构作新的状态变权向量.给出了状态变权向量等效性的定义,并指出该等效性是一个等价关系.最后给出利用状态向量的均值直接构造状态变权向量的方法,从而得到了一类新的状态变权向量.
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| 关 键 词： | 变权综合 状态变权向量 均衡函数 决策与模糊决策 |
| 修稿时间： | 2002-03-22 |
THE PROPERTIES AND CONSTRUCTION OF STATE VARIABLE WEIGHT VECTORS |
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| Li Deqing Li Hongxing. THE PROPERTIES AND CONSTRUCTION OF STATE VARIABLE WEIGHT VECTORS[J]. Journal of Beijing Normal University(Natural Science), 2002, 38(4): 455-461. DOI: 10.3321/j.issn:0476-0301.2002.04.006 |
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| Authors: | Li Deqing Li Hongxing |
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| Abstract: | Some properties on variable weight vectors are discussed in detail. A new kind of state variable weight vectors can be constructed by means of the properties under some conditions. The definition of an equal effect between state variable weight vectors is given. It is pointed out that the equal effect is an equivalent relation. A method for constructing state variable weight vectors by using the average of given state variable weight vectors is given and a new kind of state variable weight vectors is gained. |
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| Keywords: | variable weight vectors state variable weight vectors balance functions decision and fuzzy decision making |
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