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Zbl 1189.40003
Mursaleen, M.; Mohiuddine, S.A.; Edely, Osama H.H.
On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces. (English)
[J] Comput. Math. Appl. 59, No. 2, 603-611 (2010). ISSN 0898-1221

Summary: Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by the first two authors [Chaos Solitons Fractals 41 2414--2421 (2009; Zbl 1198.40007)]. 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.

MSC 2000:: *40B05 Multiple sequences and series
26E60 Means
40A05 Convergence of series and sequences

Keywords: $t$-norm; $t$-conorm; intuitionistic fuzzy normed space; $I$-convergence; $I$-Cauchy

Citations: Zbl 1198.40007

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