模糊度量空间中统计收敛的等价刻画

Equivalent Characterizations of Statistical Convergence in Fuzzy Metric Spaces

统计收敛在模糊度量空间中已得到应用,但模糊度量空间中的统计完备与完备的关系尚不明确。鉴于此,本文探讨了完备的模糊度量空间中序列的统计收敛的等价刻画,导出了统计完备与完备的等价性。研究结果完善了模糊度量空间中序列的统计收敛的相关性质。

Statistical convergence has been applied in fuzzy metric spaces, but the relationship between statistical completeness and completeness in fuzzy metric spaces is unclear. In view of this, the equivalent characterization of statistical convergence of sequences in complete fuzzy metric spaces was given and the equivalence between statistical completeness and completeness was deduced in this paper. These results improve the properties of statistical convergence of sequences in fuzzy metric spaces.