东华大学学报（英文版）
東華大學學報（英文版）
동화대학학보（영문판）
JOURNAL OF DONG HUA UNIVERSITY(ENGLISH EDITION)
2004年
2期
83-87
,共5页
Noncompact fuzzy number%Metric%Completeness%Separability%Analysis
The theory of metric spaces of fuzzy numbers has been established and found very convenient in many research fields on fuzzy analysis such as fuzzy integrals and differentials, fuzzy differential equations, fuzzy random variables and fuzzy stochastic processes etc.. But, a large part of this theory heavily depends on the condition that fuzzy number has to have compact support set and so fails to analyze and apply noncompact fuzzy numbers. The purpose of this paper is to introduce three classes of metrics on noncompact fuzzy number space and to discuss their basic properties, completeness and separability in detail.
