Ideal convergence in 2-fuzzy 2-normed spaces

Year 2017, Volume: 46 Issue: 1, 149 - 162, 01.02.2017

Mohammad H.m. Rashid , Ljubi\v{s}a D.r. Ko\v{c}inac

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

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