- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 1
- Ideal convergence in 2-fuzzy 2-normed spaces
Ideal convergence in 2-fuzzy 2-normed spaces
Authors : Mohammad H. M. Rashid, Ljubiv{s}a D. R. Kov{c}inac
Pages : 149-162
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Publication Date : 2017-02-01
Article Type : Research
Abstract :In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$ -Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions. Further, we define $\mathcal{I}$ -limit and $\mathcal{I}$ -cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.Keywords : 2-fuzzy 2-norm, ideal convergence, ideal Cauchy sequence