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On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces. (English) Zbl 1189.40003
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:
 40B05 Multiple sequences and series (should also be assigned at least one other classification number in this section) 26E60 Means 40A05 Convergence and divergence of series and sequences
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