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Boswell, Steven B.; Taylor, Malcolm S.

A central limit theorem for fuzzy random variables. (English) Zbl 0629.60006

Fuzzy Sets Syst. 24, 331-344 (1987).
Another central limit theorem for fuzzy random variables! One first recalls the theory of fuzzy random variables as initiated by H. Kwakernaak [Inf. Sci. 15, 1-29 (1978; Zbl 0438.60004)] - there are many other such theories - and then by using a concept of distance between fuzzy random variables, which is a generalization of the Kolmogorov metric, one arrives at this central limit theorem. The technique used is that of convergence of generating moment functions.
Reviewer: G.Jumarie

Cited in 1 Review
Cited in 16 Documents

MSC:

60A99 Foundations of probability theory
60F05 Central limit and other weak theorems

Keywords:

central limit theorem for fuzzy random variables; Kolmogorov metric; convergence of generating moment functions

Citations:

Zbl 0438.60004
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Full Text: DOI

References:

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