On Strong Laws of Large Numbers for Random Upper Semicontinuous Functions

A short proof of the strong law of large numbers for random upper semicontinuous functions (fuzzy random variables) with compact support is given. This approach allows us to deduce many results on convergence of fuzzy random variables from the relevant results on random sets that appear as their lev...

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Veröffentlicht in:	Journal of mathematical analysis and applications 1999-07, Vol.235 (1), p.349-355
1. Verfasser:	Molchanov, Ilya S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematical logic, foundations, set theory Mathematics Real functions Sciences and techniques of general use Set theory
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A short proof of the strong law of large numbers for random upper semicontinuous functions (fuzzy random variables) with compact support is given. This approach allows us to deduce many results on convergence of fuzzy random variables from the relevant results on random sets that appear as their level sets.
ISSN:	0022-247X 1096-0813
DOI:	10.1006/jmaa.1999.6403