ABSTRACT The purpose of this paper is to introduce the new concept of weighted statistical convergence and strong weighted summability of order β for sequences of fuzzy numbers involving the ideas of difference operators and two sequences , of positive numbers, and establish the relationship between these notions. Finally, as an application, we apply our notion of weighted -statistical of order β with a view to proving fuzzy Korovkin-type approximation theorem and provide an interesting example to illustrate our approximation result.

中文翻译：

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通过模糊数序列的差分算子加权统计收敛并应用于模糊逼近定理

摘要 本文的目的是引入模糊数序列的加权统计收敛性和β阶强加权可和性的新概念，涉及差分算子和两个正数序列的思想，并建立这些概念之间的关系。最后，作为一个应用，我们应用我们的 β 阶加权统计概念来证明模糊 Korovkin 型近似定理，并提供一个有趣的例子来说明我们的近似结果。