A LAW OF LARGE NUMBERS FOR FUZZY NUMBERS

被引:32
|
作者
FULLER, R
机构
[1] Department of Operations Research, Computer Center, L. Eötvös University, H-1502 Budapest 112
关键词
POSSIBILITY; PROBABILITY; NECESSITY; FUZZY NUMBER; TRIANGULAR NORM; LAW OF LARGE NUMBERS; SEQUENCE OF FUZZY NUMBERS; CONVERGENCE THEOREM;
D O I
10.1016/0165-0114(92)90147-V
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study the problem: xi-1, xi-2,... are fuzzy numbers with modal values M1, M2,..., then what is the strongest t-norm for which for any epsilon > 0 where m(n) = (M1 +...+ M(n))/n, the arithmetic mean (xi-1 + ... + xi(n))/n is defined via sup-t-norm convolution and Nes denotes necessity.
引用
收藏
页码:299 / 303
页数:5
相关论文
共 50 条
  • [41] On laws of large numbers for L-R fuzzy variables
    Wang, Shu-Ming
    Watada, Junzo
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 3750 - 3755
  • [42] Weak law of large numbers for i.i.d. fuzzy random variables
    Hong, Duc Hun
    Kim, Kyung Tae
    KYBERNETIKA, 2007, 43 (01) : 87 - 96
  • [43] Law of Large Numbers for Random Dynamical Systems
    Katarzyna Horbacz
    Maciej Ślȩczka
    Journal of Statistical Physics, 2016, 162 : 671 - 684
  • [44] A Law of Large Numbers Under the Nonlinear Expectation
    Miao ZHANG
    Zeng-jing CHEN
    ActaMathematicaeApplicataeSinica, 2015, 31 (04) : 953 - 962
  • [45] Strong Law of Large Numbers for branching diffusions
    Englaender, Janos
    Harris, Simon C.
    Kyprianou, Andreas E.
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2010, 46 (01): : 279 - 298
  • [46] On the law of large numbers for discrete Fourier transform
    Zhang, Na
    STATISTICS & PROBABILITY LETTERS, 2017, 120 : 101 - 107
  • [47] A note on the absurd law of large numbers in economics
    Berti, Patrizia
    Gori, Michele
    Rigo, Pietro
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 98 - 101
  • [48] Global observables for RW: Law of large numbers
    Dolgopyat, Dmitry
    Lenci, Marco
    Nandori, Peter
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 57 (01): : 94 - 115
  • [49] A Law of Large Numbers Under the Nonlinear Expectation
    Zhang, Miao
    Chen, Zeng-jing
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (04): : 953 - 962
  • [50] Law of large numbers for the possibilistic mean value
    Teran, Pedro
    FUZZY SETS AND SYSTEMS, 2014, 245 : 116 - 124