SEQUENCES OF RANDOM FUZZY SETS

DOI10.1080/03081079108945009zbMath0746.60036OpenAlexW2040531691MaRDI QIDQ3986724

Ján Bán

Publication date: 27 June 1992

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081079108945009

zbMATH Keywords

law of large numbersergodic theoremmartingale convergence theoremRadon-Nikodym theoremrandom fuzzy setsfuzzy set-valued random variables

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Theory of fuzzy sets, etc. (03E72) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Fuzzy probability (60A86)

Cites Work

• Radon-Nikodým theorem and conditional expectation of fuzzy-valued measures and variables
• An individual ergodic theorem for fuzzy random variables
• The strong law of large numbers for fuzzy random variables
• A central limit theorem for fuzzy random variables
• Statistics with vague data
• Fuzzy random variables - I. Definitions and theorems
• Convex fuzzy random variables
• Radon-Nikodym theorems for set-valued measures
• Fuzzy variables
• Integrals of set-valued functions
• Fuzzy random variables

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