A METRIC ON UNCERTAIN VARIABLES

Tingqing  Ye; Yuanguo Zhu

doi:10.1615/Int.J.UncertaintyQuantification.2018020455

International Journal for Uncertainty Quantification

Главный редактор: Habib N. Najm (open in a new tab)

Ассоциированный редакторs: Dongbin Xiu (open in a new tab) Tao Zhou (open in a new tab)

Редактор-основатель: Nicholas Zabaras (open in a new tab)

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ISSN Печать: 2152-5080

ISSN Онлайн: 2152-5099

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A METRIC ON UNCERTAIN VARIABLES

Том 8, Выпуск 3, 2018, pp. 251-266

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020455

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Tingqing Ye
School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Yuanguo Zhu
School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Краткое описание

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.

Ключевые слова: metric, uncertain variable, uncertain sequence, convergence

ЦИТИРОВАНО В

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LU QINYUN, ZHU YUANGUO, LI BO, FINITE-TIME STABILITY IN MEAN FOR NABLA UNCERTAIN FRACTIONAL ORDER LINEAR DIFFERENCE SYSTEMS, Fractals, 29, 04, 2021. Crossref
Li Bo, Shu Yadong, The skewness for uncertain random variable and application to portfolio selection problem, Journal of Industrial & Management Optimization, 18, 1, 2022. Crossref
Shu Yadong, Jin Ting, Stability in measure and asymptotic stability of uncertain nonlinear switched systems with a practical application, International Journal of Control, 2022. Crossref

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