东华大学学报（英文版）2002，Vol.19Issue(4)：29-32,4.
Convergence of Fuzzy Set Sequences
Convergence of Fuzzy Set Sequences
FENG Yu-hu1
作者信息
- 1. Department of Applied Mathematics, Dong Hua University, Shanghai, 200051
- 折叠
摘要
Abstract
There are more than one mode of convergence with respect to the fuzzy set sequences. In this paper,common six modes of convergence and their relationships are discussed. These six modes are convergence in uniform metric D, convergence in separable metric Dp or D*p, 1 ≤ p ＜∞, convergence in level set, strong convergence in level set and weak convergence. Suitable counterexamples are given. The necessary and sufficient conditions of convergence in uniform metric D are described. Some comme nts on the convergence of LRfuzzy number sequences are represented.关键词
Fuzzy set/Hausdorff metric/convergence relationship/LR-fuzzy numberKey words
Fuzzy set/Hausdorff metric/convergence relationship/LR-fuzzy number分类
轻工纺织引用本文复制引用
FENG Yu-hu..Convergence of Fuzzy Set Sequences[J].东华大学学报（英文版）,2002,19(4):29-32,4.
