基于非可加测度的OWA算子递归集成及其集成器设计  

Recursive aggregation of OWA operators based on non-additive measures and its integrator design

作　　者：巩增泰 李慧婷 GONG Zengtai;LI Huiting(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, Chin)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《陕西师范大学学报（自然科学版）》2018年第3期48-54,共7页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(11461062;61763044)

摘　　要：借助非可加测度的σ-λ律,在假设权重向量相互联系的基础上(包含了相互独立和可列可加的情形),提出和研究基于σ-λ律非可加测度的OWA(有序加权平均)算子的递归集成原理,讨论其计算方法及相关性质,并对递归集成器进行设计。Considering of the connection of the weight vector, the recursive aggregation of OWA operators based on a non-additive measure with σ-λ, rules is proposed and investigated by means of the σ-λ rules of a non-additive measure. Especially, it includes the cases that the weight vector is independent of each other and measure is infinitely additive. Finally, the calculus methods and properties are put forward and also an integrator is designed.

关 键 词：OWA算子 模糊测度 递归集成 

分 类 号：O174.12[理学—数学]