下方图度量下的非紧模糊数空间(英文)  

On Noncompact Fuzzy Number Space with Endogragh Metric

作　　者：范丽红[1] 樊太和[2] 

机构地区：[1]南京师范大学数学与计算机科学学院,江苏南京210097 [2]浙江理工大学数学系,浙江杭州310018

出　　处：《模糊系统与数学》2005年第4期109-114,共6页Fuzzy Systems and Mathematics

基　　金：NNSFC(10271056)

摘　　要：证明了非紧模糊数空间E～在下方图度量下关于模糊数的序是可逼近的.本文给出的证明方法是构造性的,从而说明了模糊数值积分如M-积分和G-积分等是可计算的.最后给出了E～中关于下方图度量的一些分析性质.In this paper it is proved that the endogragh metric is approximative with respect to orders on noncompact fuzzy number space E^-. It is also shown that the endograph metric approach on orders on E^- is constructive, this shows that noncompact fuzzy-number-valued integrals such as M-integral and G-integral are computable. Finally some analytic properties with respect to the endograph metric on E^- are given.

关 键 词：非紧模糊数空间 逼近性 下方图度量 

分 类 号：O159[理学—数学]