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Mursaleen, M.; Mohiuddine, S. A.; Edely, Osama H. H.

On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces. (English) Zbl 1189.40003

Comput. Math. Appl. 59, No. 2, 603-611 (2010).
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.

Cited in 63 Documents

MSC:

40B05 Multiple sequences and series
26E60 Means
40A05 Convergence and divergence 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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\textit{M. Mursaleen} et al., Comput. Math. Appl. 59, No. 2, 603--611 (2010; Zbl 1189.40003)
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