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
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
  • [21] Some fuzzy stochastic orderings for fuzzy random variables
    R. Zarei
    M. Amini
    A. H. Rezaei Roknabadi
    M. G. Akbari
    Fuzzy Optimization and Decision Making, 2012, 11 : 209 - 225
  • [22] Convergence theorems for fuzzy random variables and fuzzy martingales
    Feng, YH
    FUZZY SETS AND SYSTEMS, 1999, 103 (03) : 435 - 441
  • [23] On Convergence in Distribution of Fuzzy Random Variables
    Alonso De la Fuente, Miriam
    Teran, Pedro
    BUILDING BRIDGES BETWEEN SOFT AND STATISTICAL METHODOLOGIES FOR DATA SCIENCE, 2023, 1433 : 9 - 15
  • [24] Location and scale fuzzy random variables
    Hesamian, Gholamreza
    Akbari, Mohamad Ghasem
    Zendehdel, Javad
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (02) : 229 - 241
  • [25] Variance decomposition of fuzzy random variables
    Wuensche, Andreas
    Naether, Wolfgang
    SOFT METHODS FOR INTEGRATED UNCERTAINTY MODELLING, 2006, : 37 - +
  • [26] CONVEX FUZZY RANDOM-VARIABLES
    STEIN, WE
    TALATI, K
    FUZZY SETS AND SYSTEMS, 1981, 6 (03) : 271 - 283
  • [27] The independence of fuzzy variables with applications to fuzzy random optimization
    Liu, Yian-Kui
    Gao, Jinwu
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (02) : 1 - 20
  • [28] Some fuzzy stochastic orderings for fuzzy random variables
    Zarei, R.
    Amini, M.
    Roknabadi, A. H. Rezaei
    Akbari, M. G.
    FUZZY OPTIMIZATION AND DECISION MAKING, 2012, 11 (02) : 209 - 225
  • [29] Simplicial depths for fuzzy random variables
    Gonzalez-De La Fuente, Luis
    Nieto-Reyes, Alicia
    Teran, Pedro
    FUZZY SETS AND SYSTEMS, 2023, 471
  • [30] On the conditional variance of fuzzy random variables
    Naether, Wolfgang
    Wuensche, Andreas
    METRIKA, 2007, 65 (01) : 109 - 122