基于σ-λ律非可加测度的移动加权平均方法  

The weighted moving averages based on a non-additive measure with σ-λ rules

作　　者：巩增泰[1] 雷文婧[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2016年第5期686-691,共6页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11461062;61262022)

摘　　要：借助事先给定的权重向量,利用非可加测度σ-λ律,在假设已有时间点的结果或数据相互联系的基础上(包括数据相互独立和可列可加的情形),将移动加权平均的计算转化为基于非可加测度的Choquet积分,通过所建立的Choquet积分卷积公式,提出和研究了基于σ-λ律非可加测度的移动加权平均原理,讨论了其计算方法和算法实现.The connection of the existing results （or data） of the time points was considered, the weighted mov- ing averaging methods based on a non-additive measure with σ-λrules were proposed and investigated by means of the given weight vector and the σ-λ rules of a non-additive measure. The calculation of the weighted moving averages based on a non-additive measure with σ-λ. rules could be transformed into a Choquet integra- tion in a discrete case by using the techniques given in this article. Included here were the cases that the data is independent of each other and the measure is infinitely additive. The calculus methods and algorithms were put forward and studied by means of the convolution formula of Choquet integral.

关 键 词：模糊测度 CHOQUET积分 移动平均 

分 类 号：O175.8[理学—数学]