由紧算子定义的直觉模糊i收敛差分序列空间

IF 0.5 Q3 MATHEMATICS
Esra Kamber
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引用次数: 0

摘要

本文引入并研究了紧算子所使用的直觉模糊$I$ -收敛差分序列空间${I}^{(\mu,\upsilon)}(T,\Delta)$和${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$。我们还在这些空间中引入了一个新的概念,叫做封闭球。利用这些概念,我们建立了一个新的拓扑空间,并利用紧算子研究了直觉模糊$I$ -收敛差分序列空间${I}^{(\mu,\upsilon)}(T,\Delta)$和${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$中的一些拓扑性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR
In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces  ${I}^{(\mu,\upsilon)}(T,\Delta)$ and  ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces  ${I}^{(\mu,\upsilon)}(T,\Delta)$ and  ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator.
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