A convergence of fuzzy random variables

被引：0
|
作者：
Hong, DH [1 ]
机构：
[1] Catholic Univ Daegu, Sch Mech & Automat Engn, Kyungbuk 712702, South Korea
来源：
KYBERNETIKA | 2003年 / 39卷 / 03期
关键词：
fuzzy number; fuzzy random variable; strong law of large numbers;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al, which gives generalization of a strong law of large numbers for sums of stationary and ergodic processes to the case of fuzzy random variables. We also generalize the recent result of Kim, which is a strong law of large numbers for sums of levelwise independent and levelwise identically distributed fuzzy random variables.
引用
收藏
页码：275 / 280
页数：6
相关论文
共 50 条
  • [1] 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
  • [2] Convergence theorems for fuzzy random variables and fuzzy martingales
    Feng, YH
    FUZZY SETS AND SYSTEMS, 1999, 103 (03) : 435 - 441
  • [3] Weak convergence and tightness for fuzzy random variables
    Joo, SY
    Kim, YK
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (06): : 793 - 809
  • [4] The convergence theorems for sequence of fuzzy random variables
    Chen, Yan-Ju
    PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2007, : 1327 - 1331
  • [5] Convergence criteria and convergence relations for sequences of fuzzy random variables
    Liu, YK
    Gao, JW
    FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PT 1, PROCEEDINGS, 2005, 3613 : 321 - 331
  • [6] New results on convergence in distribution of fuzzy random variables
    de la Fuente, Miriam Alonso
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2024, 166
  • [7] Some results on convergence and distributions of fuzzy random variables
    de la Fuente, Miriam Alonso
    Teran, Pedro
    FUZZY SETS AND SYSTEMS, 2022, 435 : 149 - 163
  • [8] Some inequalities of random fuzzy variables with application to moment convergence
    Zhu, YG
    Liu, BD
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (5-6) : 719 - 727
  • [9] Convergence Analysis of Swarm Intelligence Based on Fuzzy Random Variables
    Feng Jiqiang
    Xu Chen
    Zhang Weiqiang
    2014 TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2014, : 35 - 38
  • [10] MAXIMAL INEQUALITIES AND SOME CONVERGENCE THEOREMS FOR FUZZY RANDOM VARIABLES
    Ahmadzade, Hamed
    Amini, Mohammad
    Taheri, Seyed Mahmoud
    Bozorgnia, Abolghasem
    KYBERNETIKA, 2016, 52 (02) : 307 - 328
12345