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

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 51卷 / 02期

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

页码：161 / 178

页数：18

共 23 条

[1] AN APPLICATION OF A FUZZY RANDOM VARIABLE TO VULNERABILITY MODELING [J].