东华大学学报（英文版）2004，Vol.21Issue(2)：83-87,5.
Metrics on Noncompact Fuzzy Number Space (E^)n
Metrics on Noncompact Fuzzy Number Space (E^)n
摘要
Abstract
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.关键词
Noncompact fuzzy number/Metric/Completeness/Separability/AnalysisKey words
Noncompact fuzzy number/Metric/Completeness/Separability/Analysis分类
轻工纺织引用本文复制引用
冯玉瑚..Metrics on Noncompact Fuzzy Number Space (E^)n[J].东华大学学报（英文版）,2004,21(2):83-87,5.基金项目
This paper is partially supported by the National Natural Science Foundation of China, No.60374022 （）
