Statistical convergence in intuitionistic fuzzy n-normed linear spaces

Mausumi Sen () and Pradip Debnath ()
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Mausumi Sen: National Institute of Technology Silchar
Pradip Debnath: National Institute of Technology Silchar

Fuzzy Information and Engineering, 2011, vol. 3, issue 3, 259-273

Abstract: Abstract The aim in our article is to introduce the notion of statistical convergence and statistically Cauchy sequences in intuitionistic fuzzy n-normed linear spaces. The paper shows that some properties of statistical convergence of real sequences also hold for sequences in this space. Characterization for statistically convergent and statistically Cauchy sequences is also given. Further, the concept of statistical limit points and statistical cluster points are introduced and their relation with limit points of sequences have been investigated.

Keywords: Statistical convergence; Statistically Cauchy sequence; Intuitionistic fuzzy n-normed linear space; Statistical limit point; Statistical cluster point (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0082-9

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