Statistical Convergence of Complex Uncertain Sequences

Binod Chandra Tripathy () and Pankaj Kumar Nath ()
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Binod Chandra Tripathy: Department of Mathematics, Tripura University, Suryamaninagar, Agartala 799022 Tripura, India
Pankaj Kumar Nath: #x2020;Department of Applied Science (Mathematics), Institute of Science and Technology, Gauhati University, Guwahati 781014, Assam, India

New Mathematics and Natural Computation (NMNC), 2017, vol. 13, issue 03, 359-374

Abstract: Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely (a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) In addition, decomposition theorems and relationships among them are discussed.

Keywords: Uncertainty theory; complex uncertain variable; statistical convergence (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S1793005717500090

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