基于几何均值的惩罚型状态变权向量的构造及应用  

The Structure of Penalized State Variable Weight Vector and Its Application Based on the Geometric Mean

作　　者：王红[1] 李月秋[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2015年第15期203-208,共6页Mathematics in Practice and Theory

基　　金：齐齐哈尔大学教育科学研究重点项目(2012121)

摘　　要：依据惩罚型状态变权向量的定义和对各因素间的均衡性要求,构造了含有几何平均值的惩罚型状态变权向量.给出了各因素的几何平均值相等和几何平均值不相等两种情况的构造方法,对多因素的变权综合提供了有效的理论支持.最后,用一个实例验证了该方法的可行性和有效性.The method of penalized state variable weight vector consisting of geometric mean in terms of the definition of penalized state variable weight vector and among equilibrium of the various factors is studied in this paper. The penalized state variable weight vectors of equal geometric mean and unequal geometric mean are given. This method provides effective theoretical support on the variable weight synthesis of multiple factors. Finally, the feasibility and effectiveness is verified by the numerical example.

关 键 词：变权综合 状态变权向量 几何平均值 

分 类 号：O183.1[理学—数学] O225[理学—基础数学]