On deferred I-statistical rough convergence of difference sequences in intuitionistic fuzzy normed spaces

被引:1
|
作者
Khan, Vakeel A. [1 ]
Rahaman, S. K. Ashadul [1 ]
Hazarika, Bipan [2 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
[2] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India
关键词
Intuitionistic fuzzy normed space; difference sequences; deferred statistical convergence; I-convergence; deferred I-statistical convergence; rough convergence;
D O I
10.2298/FIL2418333K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this research article, using the concepts of deferred density and the notion of the ideal I, we extend the idea of rough convergence by introducing the notion of deferred I-statistical rough convergence via difference operators in the framework of intuitionistic fuzzy normed spaces. We define a set of limits of this convergence and prove that the limit set is convex and closed with respect to the intuitionistic fuzzy norm. Furthermore, we develop the concept of deferred I-statistical triangle jr-cluster point of a sequence in intuitionistic fuzzy normed spaces and investigate the relations between the set of these cluster points and the limit set of the aforementioned convergence.
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页码:6333 / 6354
页数:22
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