Gaussian fuzzy random variables

被引：27

作者：

Feng, YH ^{[1
]}

机构：

[1] China Text Univ, Dept Basic Sci, Shanghai 200051, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2000年 / 111卷 / 03期

关键词：

Gaussian fuzzy random variable; covariance operator; characteristic functional; linear transformation; independence;

D O I：

10.1016/S0165-0114(98)00033-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we define the concepts of a Gaussian fuzzy random variable and a Gaussian fuzzy random vector and discuss their properties. The covariance operator, the characteristic functional and the linear transformation of a Gaussian fuzzy random variable are investigated. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：325 / 330

页数：6

共 8 条

[1] METRIC-SPACES OF FUZZY-SETS [J].

DIAMOND, P ;

KLOEDEN, P .

FUZZY SETS AND SYSTEMS, 1990, 35 (02) :241-249

[2] Convergence theorems for fuzzy random variables and fuzzy martingales [J].

Feng, YH .

FUZZY SETS AND SYSTEMS, 1999, 103 (03) :435-441

[3]

FRECHET M, 1951, ANN I H POINCARE, V12, P215

[4] ON EMBEDDING PROBLEMS OF FUZZY NUMBER SPACE .5. [J].

MING, M .

FUZZY SETS AND SYSTEMS, 1993, 55 (03) :313-318

[5] NOTE ON EXTENSION PRINCIPLE FOR FUZZY SETS [J].

NGUYEN, HT .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (02) :369-380

[6] THE CONCEPT OF NORMALITY FOR FUZZY RANDOM-VARIABLES [J].

PURI, ML ;

RALESCU, DA .

ANNALS OF PROBABILITY, 1985, 13 (04) :1373-1379

[7]

Rockafellar R., 1972, CONVEX ANAL

[8]

Rudin W., 1973, FUNCTIONAL ANAL

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