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Proske, Frank; Puri, Madan L.

doi:10.1023/a:1014823228848

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2009

2023

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Cited by 24 publications

(1 citation statement)

References 16 publications

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“…Among others, several variants of strong law of large numbers (SLLN) for independent fuzzy random variables were built on the basis of SLLN for independent random sets. A rich variety of SLLN for fuzzy random variables can be found in the literature, e.g., Colub et al [3,4], Feng [5], Fu and Zhang [6], Inoue [7], Klement et al [8], Li and Ogura [9], Molchanov [10], Proske and Puri [11].…”

Section: Introductionmentioning

confidence: 99%

Weak laws of large numbers for weighted sums of Banach space valued fuzzy random variables

Kim¹

2013

International Journal of Fuzzy Logic and Intelligent Systems

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In this paper, we present some results on weak laws of large numbers for weighted sums of fuzzy random variables taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in a separable real Banach space. First, we give weak laws of large numbers for weighted sums of strong-compactly uniformly integrable fuzzy random variables. Then, we consider the case that the weighted averages of expectations of fuzzy random variables converge. Finally, weak laws of large numbers for weighted sums of strongly tight or identically distributed fuzzy random variables are obtained as corollaries.

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