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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020455
Forthcoming Article

A Metric on Uncertain Variables

Tingqing Ye
Nanjing University of Science and Technology
Yuanguo Zhu
Nanjing University of Science and Technology

ABSTRACT

Metric is a vital concept on a space. In this paper, a new metric is proposed to study the space consisting of uncertain variables. Then, some formulas of calculating the metric in some cases are presented. Finally, the convergence of uncertain sequences in metric is defined and the relationships among convergence in metric, convergence in measure, convergence in mean, convergence in distribution and uniform convergence almost surely are studied.