Ergodic theorems for random compact sets and fuzzy variables in Banach spaces

DOI10.1016/0165-0114(91)90034-NzbMath0746.60007OpenAlexW2013775534MaRDI QIDQ1182022

Ján Bán

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0165-0114(91)90034-n

zbMATH Keywords

individual ergodic theoremrepresentation of fuzzy sets

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Theory of fuzzy sets, etc. (03E72) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Fuzzy probability (60A86)

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Ulam stability of two fuzzy number-valued functional equations, On the Ulam stability of fuzzy differential equations, Random fuzzy number integrals in Banach spaces, Multidimensional and multivalued ergodic theorems for measure-preserving transformations, On the extension of the fuzzy number measures in Banach spaces. I: Representation of the fuzzy number measures, An embedding theorem for fuzzy numbers on Banach spaces and its applications, Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions, Limit theorems for sums of random fuzzy sets, Unnamed Item, Convex hull of a fuzzy set and triangular norms, Approximating integrably bounded fuzzy random variables in terms of the ``generalized Hausdorff metric, A note on Ulam stability of some fuzzy number-valued functional equations, On the convergence and representation of random fuzzy number integrals

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