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Statistical convergence in intuitionistic fuzzy n-normed linear spaces

Author

Listed:
  • Mausumi Sen

    (National Institute of Technology Silchar)

  • Pradip Debnath

    (National Institute of Technology Silchar)

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.

Suggested Citation

  • Mausumi Sen & Pradip Debnath, 2011. "Statistical convergence in intuitionistic fuzzy n-normed linear spaces," Fuzzy Information and Engineering, Springer, vol. 3(3), pages 259-273, September.
    • Handle: RePEc:spr:fuzinf:v:3:y:2011:i:3:d:10.1007_s12543-011-0082-9
    DOI: 10.1007/s12543-011-0082-9
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    References listed on IDEAS

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    1. Karakus, S. & Demirci, K. & Duman, O., 2008. "Statistical convergence on intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 763-769.
    2. S. Karakus & K. Demırcı, 2007. "Statistical Convergence of Double Sequences on Probabilistic Normed Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-11, June.
    3. Mursaleen, M. & Danish Lohani, Q.M., 2009. "Intuitionistic fuzzy 2-normed space and some related concepts," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 224-234.
    Full references (including those not matched with items on IDEAS)

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