INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR

Esra Kamber

DOI Number
https://doi.org/10.22190/FUMI200810033K
First page
485
Last page
494

Abstract


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.


Keywords

intuitionistic fuzzy space, compact operator, topological space

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DOI: https://doi.org/10.22190/FUMI200810033K

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