Kolmogorov's strong law of large numbers for fuzzy random variables

DOI10.1016/S0165-0114(99)00140-2zbMath0981.60031OpenAlexW1965190457MaRDI QIDQ5939651

Yun Kyong Kim, Sang Yeol Joo

Publication date: 4 November 2001

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(99)00140-2

zbMATH Keywords

strong law of large numbersfuzzy random variableslevel-wise consideration

Mathematics Subject Classification ID

Fuzzy real analysis (26E50) Limit theorems in probability theory (60F99)

Related Items (6)

Unnamed Item ⋮ Weak laws of large numbers for fuzzy random variables ⋮ Some laws of large numbers for arrays of random upper semicontinuous functions ⋮ Negative association and negative dependence for random upper semicontinuous functions, with applications ⋮ Sufficiency, Completeness, and Unbiasedness Based on Fuzzy Sample Space ⋮ Some inequalities and limit theorems for fuzzy random variables adopted with \(\alpha \)-values of fuzzy numbers

Cites Work

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• Elementary fuzzy calculus
• A strong law of large numbers for fuzzy random variables
• The strong law of large numbers for fuzzy random variables
• A strong law of large numbers for fuzzy random sets
• Embedding problem of fuzzy number space. II
• A strong law of large numbers for random compact sets
• Laws of large numbers for D(0,1)
• Integrals of fuzzy-number-valued functions
• A law of large numbers for random sets
• Marcinkiewicz-type law of large numbers for fuzzy random variables
• Limit theorems for fuzzy random variables

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