Ideal convergence in 2-fuzzy 2-normed spaces

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.