On the formalization of fuzzy random variables

被引：57
|
作者：
Colubi, A [1 ]
Dominguez-Menchero, JS
López-Díaz, M
Ralescu, DA
机构：
[1] Univ Oviedo, Dept Estadist IO & DM, E-33071 Oviedo, Spain
[2] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA
来源：
INFORMATION SCIENCES | 2001年 / 133卷 / 1-2期
关键词：
D O I：
10.1016/S0020-0255(01)00073-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we develop a discussion on the mathematical formalization of the concept of fuzzy random variable. This discussion is mainly focused on finding an adequate notion of measurability to be coherent with the notions on the space these random elements take values. (C) 2001 Published by Elsevier Science Inc.
引用
收藏
页码：3 / 6
页数：4
相关论文
共 50 条
  • [31] On fuzzy random variables and statistical maps
    Bugajski, S
    Hellwig, KE
    Stulpe, W
    REPORTS ON MATHEMATICAL PHYSICS, 1998, 41 (01) : 1 - 11
  • [32] Stochastic orderings of fuzzy random variables
    Piriyakumar, J. Earnest Lazarus
    Renganathan, N.
    International Journal of Information and Management Sciences, 2001, 12 (04): : 29 - 40
  • [33] An Autoregressive Model with Fuzzy Random Variables
    Wang, Dabuxilatu
    SOFT METHODS FOR HANDLING VARIABILITY AND IMPRECISION, 2008, 48 : 401 - 408
  • [34] Stochastic Orders for Fuzzy Random Variables
    Montes, Ignacio
    Miranda, Enrique
    Montes, Susana
    STRENGTHENING LINKS BETWEEN DATA ANALYSIS AND SOFT COMPUTING, 2015, 315 : 21 - 28
  • [35] Constructive definitions of fuzzy random variables
    LopezDiaz, M
    Gil, MA
    STATISTICS & PROBABILITY LETTERS, 1997, 36 (02) : 135 - 143
  • [36] Introduction to ANOVA with fuzzy random variables
    Montenegro, M
    González-Rodríguez, G
    Gil, MA
    Colubi, A
    Casals, MR
    SOFT METHODOLOGY AND RANDOM INFORMATION SYSTEMS, 2004, : 487 - 494
  • [37] Sums of independent fuzzy random variables
    Feng, YH
    FUZZY SETS AND SYSTEMS, 2001, 123 (01) : 11 - 18
  • [38] Independent fuzzy random variables and their application
    Hwang, CM
    Yao, JS
    FUZZY SETS AND SYSTEMS, 1996, 82 (03) : 335 - 350
  • [39] Modeling fuzzy random variables.
    Shapiro, Arnold F.
    INSURANCE MATHEMATICS & ECONOMICS, 2006, 39 (03): : 401 - 401
  • [40] A unified approach to fuzzy random variables
    Krätschmer, V
    FUZZY SETS AND SYSTEMS, 2001, 123 (01) : 1 - 9
12345