On the convergence of uncertain sequences. (English) Zbl 1165.28310

You, Cuilian

Math. Comput. Modelling 49, No. 3-4, 482-487 (2009).

Summary: Uncertain variables are measurable functions from uncertainty spaces to the set of real numbers. In this paper, a new kind of convergence, convergence uniformly almost surely (convergence uniformly a.s.), is presented. Then, relations between convergence uniformly almost surely and convergence almost surely (convergence a.s.), convergence in measure, convergence in mean, and convergence in distribution are discussed.

MSC:

28E10	Fuzzy measure theory
40A05	Convergence and divergence of series and sequences

Keywords:

uncertain measure; uncertain variable; expected value; convergence

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