The Skorokhod topology on space of fuzzy numbers

被引：32
作者：
Joo, SY
Kim, YK [1 ]
机构：
[1] Dongshin Univ, Dept Math, Naju 520714, Chonnam, South Korea
[2] Kangweon Natl Univ, Dept Stat, Chunchon 200701, Kangweon, South Korea
来源：
FUZZY SETS AND SYSTEMS | 2000年 / 111卷 / 03期
关键词：
fuzzy numbers; Skorokhod topology;
D O I：
10.1016/S0165-0114(98)00185-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Ln this paper, we introduce the Skorokhod metric on the space F(R) of fuzzy numbers and prove that F(R) is separable and complete. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：497 / 501
页数：5
相关论文
共 7 条
[1]  
Billingsley P, 1968, CONVERGE PROBAB MEAS
[2]  
Congxin W., 1992, FUZZY SETS SYSTEMS, V45, P189
[3]   LAWS OF LARGE NUMBERS FOR D[0,1] [J].
DAFFER, PZ ;
TAYLOR, RL .
ANNALS OF PROBABILITY, 1979, 7 (01) :85-95
[4]  
Jacod J., 2003, LIMIT THEOREMS STOCH
[5]   Integrals of fuzzy-number-valued functions [J].
Kim, YK ;
Ghil, BM .
FUZZY SETS AND SYSTEMS, 1997, 86 (02) :213-222
[6]   LIMIT-THEOREMS FOR FUZZY RANDOM-VARIABLES [J].
KLEMENT, EP ;
PURI, ML ;
RALESCU, DA .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 407 (1832) :171-182
[7]  
Skorokhod A, 1956, Th. Probab. Appl., V1, P261, DOI DOI 10.1137/1101022
1