Strong laws of large numbers for independent fuzzy set-valued random variables

DOI10.1016/j.fss.2003.06.011zbMath1104.60307OpenAlexW1970561045MaRDI QIDQ853428

Yukio Ogura, Shou-mei Li

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2003.06.011

zbMATH Keywords

extended Hausdorff metric

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems in probability theory (60F99)

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Cites Work

• Limit theorems and applications of set-valued and fuzzy set-valued random variables
• The strong law of large numbers for fuzzy random variables
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy random variables - II. Algorithms and examples for the discrete case
• A strong law of large numbers for fuzzy random sets
• A strong law of large numbers for random compact sets
• Integrals, conditional expectations, and martingales of multivalued functions
• A generalized strong law of large numbers
• On strong laws of large numbers for random upper semicontinuous functions
• Convergence of set-valued and fuzzy-valued martingales
• Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense
• Central limit theorems for generalized set-valued random variables
• Strong law of large numbers for Banach space valued random sets
• A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric \(\mathbf {H}_{\infty}\)
• Integrals of set-valued functions
• Convergence of weighted sums of random sets
• Limit theorems for fuzzy random variables
• A Strong Limit Theorem for Random Sets
• Fuzzy sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item