Fuzzy数收敛性的一个注记  

A Note on Convergence of Fuzzy Numbers

作　　者：孙刘平[1] 

机构地区：[1]常州纺织服装职业技术学院数学教研室,江苏常州213164

出　　处：《荆楚理工学院学报》2009年第11期43-45,共3页Journal of Jingchu University of Technology

摘　　要：文章利用截集,讨论了Fuzzy数序列的水平Fuzzy收敛性与点式弱收敛性的关系。证明了Fuzzy数序列的水平Fuzzy收敛性蕴涵点式弱收敛性,但反之不真。In this paper, by using cut sets, the relationship between levelwise Fuzzy convergence of sequences of Fuzzy numbers and pointwise weak convergence of sequences of Fuzzy numbers is discussed. It is proved that levelwise Fuzzy convergence of sequences of Fuzzy numbers implies pointwise weak convergence of sequences of Fuzzy numbers,but the converse is not true.

关 键 词：α截集 FUZZY数 弱收敛 

分 类 号：O144[理学—数学]