$\mathcal{I}$-statistical convergence of complex uncertain sequences in measure

Amit Halder   ; Shyamal Debnath

Ural mathematical journal, Tome 10 (2024) no. 2, pp. 69-80

Résumé

The main aim of this paper is to present and explore some of properties of the concept of $\mathcal{I}$-statistical convergence in measure of complex uncertain sequences. Furthermore, we introduce the concept of $\mathcal{I}$-statistical Cauchy sequence in measure and study the relationships between different types of convergencies. We observe that, in complex uncertain space, every $\mathcal{I}$-statistically convergent sequence in measure is $\mathcal{I}$-statistically Cauchy sequence in measure, but the converse is not necessarily true.

Détail

Keywords: $\mathcal{I}$-convergence, $\mathcal{I}$-statistical convergence, Uncertainty theory, Complex uncertain variable

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