ERGODIC-THEOREMS FOR RANDOM COMPACT-SETS AND FUZZY VARIABLES IN BANACH-SPACES

被引：14

作者：

BAN, J

机构：

[1] Department of Probability and Statistics, Comenius University, 842 15 Bratislava, Mlynská dolina

来源：

FUZZY SETS AND SYSTEMS | 1991年 / 44卷 / 01期

关键词：

PROBABILITY THEORY AND STATISTICS; ERGODIC THEOREM; FUZZY-VALUED RANDOM VARIABLE; RANDOM SET;

D O I：

10.1016/0165-0114(91)90034-N

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The individual ergodic theorem is proved in two cases; first for compact set-valued random variable in a Banach space X of type p, p > 1; second for a random variable having values in the family of all fuzzy subsets of X. The set representation of fuzzy subsets is used. Three types of convergence of fuzzy random variables are considered.

引用

页码：71 / 82

页数：12

共 22 条

[1]

ARROW KJ, 1971, GENERAL COMPETITIVE

[2] INTEGRALS OF SET-VALUED FUNCTIONS [J].