Some theoretical results of learning theory based on random sets in set‐valued probability space

DOI10.1108/03684920910944867zbMath1197.93166OpenAlexW2012849415MaRDI QIDQ4932925

Witold Pedrycz, Jiqiang Chen, Lifang Zheng, Ming-Hu Ha

Publication date: 7 October 2010

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920910944867

zbMATH Keywords

set theoryrisk minimizationstatistical learningcybernetics

Mathematics Subject Classification ID

Stochastic learning and adaptive control (93E35) Stochastic systems in control theory (general) (93E03)

Related Items (1)

SUPPORT VECTOR MACHINE BASED ON RANDOM SET SAMPLES

Cites Work

• Strong laws of large numbers for independent fuzzy set-valued random variables
• Set-valued measure and fuzzy set-valued measure
• Radon-Nikodym theorems for set-valued measures
• Regularity properties of constrained set-valued mappings
• On compactness of set-valued measures. I.
• Statistical learning theory for location fingerprinting in wireless LANs
• On compactness of set-valued measures. II
• Integrals of set-valued functions
• On the Convergence in Distribution of Measurable Multifunctions (Random Sets) Normal Integrands, Stochastic Processes and Stochastic Infima
• Edgeworth-Allocations in an Exchange Economy with Many Traders
• Convergence and representation theorems for set valued random processes
• Regularization and statistical learning theory for data analysis.

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