Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 2, Pages 603-611Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.11.002
Keywords
t-norm; t-conorm; Intuitionistic fuzzy normed space; I-convergence; I-Cauchy
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Funding
- Department of Science and Technology, New Delhi [SR/S4/MS:505/07]
- Department of Atomic Energy, Government of India [40/10/2008-RD II/892]
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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.
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