Ideal convergence in 2-fuzzy 2-normed spaces

Authors : Mohammad H.m. RASHİD, Ljubiv{s}a D.r. KOV{C}İNAC

Pages : 149-162

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Publication Date : 2017-02-01

Article Type : Research Paper

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