Measurability criteria for fuzzy random vectors |
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| Authors: | Xueqin Feng Yian-Kui Liu |
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| Institution: | (1) College of Economics, Hebei University, Baoding, 071002, Hebei, China;(2) College of Mathematics and Computer Science, Hebei University, Baoding, 071002, Hebei, China |
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| Abstract: | Fuzzy random vector is a measurable map from a probability space to a collection of fuzzy vectors. Our aim in this paper is
to discuss the measurability criteria for fuzzy random vectors, and show that under mild assumption, the measurability criteria
for upper semicontinuous fuzzy random vectors can be expressed in several different but equivalent formulations. Finally,
applying the obtained results, we resolve an open problem about the relationship between fuzzy random vectors and fuzzy random
variables. |
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| Keywords: | Fuzzy vector Fuzzy random vector Measurability criteria |
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