In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce the concept of lacunary ideal convergence of double sequences in fuzzy normed spaces, and the relation between lacunary convergence and lacunary ideal convergence is investigated for double sequences in fuzzy normed spaces. Finally, in fuzzy normed spaces, we give the concept of limit point and cluster point for double sequences, and the theorems related to these concepts are given.

中文翻译：

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在\（\ mathcal {I} _ {{\ theta} _ {2}} \）上-模糊赋范空间中的收敛

在这项研究中，首先，在模糊赋范空间中引入了双序列的收敛性，并在模糊赋范空间中给出了关于双序列的收敛性的基本定义和定理。然后，介绍了模糊赋范空间中双序列的理想理想收敛的概念，并研究了模糊赋范空间中双序列的理想收敛。最后，在模糊赋范空间中，给出了双序列的极限点和聚类点的概念，并给出了与这些概念有关的定理。