THE THEORY OF FUZZY STOCHASTIC-PROCESSES

被引:80
|
作者
WANG, GY
ZHANG, Y
机构
[1] HEBEI COAL MIN & CIVIL ENGN INST,HANDAN 056038,PEOPLES R CHINA
[2] HARBIN ARCHITECTURAL & CIVIL ENGN INST,HARBIN 150006,PEOPLES R CHINA
基金
美国国家科学基金会;
关键词
FUZZY RANDOM FUNCTION; FUZZY STOCHASTIC PROCESS; FUZZY SAMPLE FUNCTION; SEPARABILITY; MEASURABILITY; CONTINUITY;
D O I
10.1016/0165-0114(92)90189-B
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we deal with the general theory of fuzzy stochastic processes. We give the suitable definitions of fuzzy random function, fuzzy stochastic process and their fall-shadow distribution functions. The concepts of separability and measurability of a fuzzy random function are introduced and some properties of these new concepts are derived. We investigate the continuity of fuzzy sample function of a fuzzy stochastic process.
引用
收藏
页码:161 / 178
页数:18
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