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变权决策中确定状态变权向量的理想点法
引用本文:张丽娅,李德清.变权决策中确定状态变权向量的理想点法[J].数学的实践与认识,2009,39(6).
作者姓名:张丽娅  李德清
作者单位:1. 甘肃联合大学经管学院,甘肃,兰州,730000
2. 军械工程学院基础部,河北,石家庄,050003
摘    要:利用因素状态向量构造正理想状态向量X+和负理想状态向量X-,然后由这两个理想状态向量分别构造两个极不均衡的状态向量RX+-和RX-+;根据状态变权向量对RX+-和RX-+的调权效果以及OWA算子中的主观偏好参数A-C(W)建立一个确定状态变权向量参数的数学模型,为解决变权综合过程中如何选用合适的状态变权向量提供了一个可操作性的方法.最后,通过一个实例对该方法的应用进行了分析、验证.

关 键 词:变权综合:状态变权向量  理想状态向量  态度因子

An Ideal Point Approach of Determining State Variable Weights Vector in Decision Making
ZHANG Li-ya,LI De-qing.An Ideal Point Approach of Determining State Variable Weights Vector in Decision Making[J].Mathematics in Practice and Theory,2009,39(6).
Authors:ZHANG Li-ya  LI De-qing
Abstract:By applying factor state vectors,positive ideal state vector X+ and negative ideal state vector X-are constructed.Using these two ideal state vectors,two extremely unbalanced state vectors,RX+-and RX-+, are constructed.Based on the effect of the state variable weights vector to RX+-and RX-+,as well as the attitude character A-C(W),a model to determinate the parameter of a kind state variable weights vector is established.Namely,a manipulable approach to select appropriate state variable weights vector in decision making is proposed.Finally,an example is given to illustrate the application of this approach.
Keywords:variable weights synthesis  state variable weights vector  ideal state vector  attitude character
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