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Statistical convergence on intuitionistic fuzzy normed spaces

Author

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  • Karakus, S.
  • Demirci, K.
  • Duman, O.

Abstract

Saadati and Park [Saadati R, Park JH, Chaos, Solitons & Fractals 2006;27:331–44] has recently introduced the notion of intuitionistic fuzzy normed space. In this paper, we study the concept of statistical convergence on intuitionistic fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence on intuitionistic fuzzy normed spaces.

Suggested Citation

  • Karakus, S. & Demirci, K. & Duman, O., 2008. "Statistical convergence on intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 763-769.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:763-769
    DOI: 10.1016/j.chaos.2006.05.046
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    References listed on IDEAS

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    1. Alimohammady, M. & Roohi, M., 2006. "Compactness in fuzzy minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 906-912.
    2. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
    3. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
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    Cited by:

    1. Mohiuddine, S.A. & Danish Lohani, Q.M., 2009. "On generalized statistical convergence in intuitionistic fuzzy normed space," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1731-1737.
    2. Di Maio, G. & Djurčić, D. & Kočinac, Lj.D.R. & Žižović, M.R., 2009. "Statistical convergence, selection principles and asymptotic analysis," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2815-2821.
    3. Mursaleen, M. & Mohiuddine, S.A., 2009. "Statistical convergence of double sequences in intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2414-2421.
    4. 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.

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