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Statistical convergence on intuitionistic fuzzy normed spaces

2006; Elsevier BV; Volume: 35; Issue: 4 Linguagem: Inglês

10.1016/j.chaos.2006.05.046

1873-2887

Sevda Karakuş, Kami̇l Demi̇rci̇, Oktay Duman,

Fuzzy and Soft Set Theory

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.