The law of large numbers for fuzzy numbers with unbounded supports

DOI10.1016/S0165-0114(98)00188-2zbMath0986.26013OpenAlexW1983997485MaRDI QIDQ1590614

Dug Hun Hong, Paul I. Ro

Publication date: 11 June 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(98)00188-2

zbMATH Keywords

law of large numbersfuzzy numbersArchimedean t-norms

Mathematics Subject Classification ID

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

Related Items (12)

Fuzzy random renewal reward process and its applications ⋮ Renewal process with \(T\)-related fuzzy inter-arrival times and fuzzy rewards ⋮ On Generalization of Nguyen’s Theorem: A Short Survey of Recent Developments ⋮ Unnamed Item ⋮ Fuzzy random renewal process with queueing applications ⋮ Some properties of T-independent fuzzy variables ⋮ Blackwell's theorem for \(T\)-related fuzzy variables ⋮ FUZZY ARITHMETIC BASED ON BOUNDARY WEAK T-NORMS ⋮ Parameter estimations of mutually \(T\)-related fuzzy variables ⋮ Equivalent conditions for laws of large numbers for \(T\)-related L-R fuzzy numbers ⋮ Unnamed Item ⋮ Series of fuzzy sets

Cites Work

• Unnamed Item
• A law of large numbers for fuzzy numbers in a Banach space
• The law of large numbers for fuzzy variables under a general triangular norm extension principle
• The law of large numbers for fuzzy processes and the estimation problem
• A law of large numbers for fuzzy numbers
• Fuzzy sets as a basis for a theory of possibility
• Characterisation of Archimedean \(t\)-norms and a law of large numbers
• A convergence theorem for arrays of L-R fuzzy numbers
• Another Proof that Convex Functions are Locally Lipschitz
• Additions of interactive fuzzy numbers
• A note on the law of large numbers for fuzzy numbers

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