On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces

被引：130

作者：

Mursaleen, M. ^{[1
]}

Mohiuddine, S. A. ^{[1
]}

Edely, Osama H. H.

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 02期

关键词：

t-norm; t-conorm; Intuitionistic fuzzy normed space; I-convergence; I-Cauchy;

D O I：

10.1016/j.camwa.2009.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by Mursaleen and Mohiuddine [Statistical convergence of double sequences in intuitionistic fuzzy normed spaces, Chaos, Solitons Fractals, 41 (2009) pp. 2414-2421]. We know that ideal convergence is more general than statistical convergence for single or double sequences. This has motivated us to study the ideal convergence of double sequences in a more general setting. That is, in this paper, we study the concept of ideal convergence and ideal Cauchy for double sequences in intuitionistic fuzzy normed spaces. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：603 / 611

页数：9

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