A new type of difference I-convergent sequence in IFnNS

Abstract

In this paper, we introduce the notion of a generalized difference I-convergent (i.e.?m-I-convergent) and difference I-Cauchy (i.e.?m-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also, we study the concepts of a generalized difference I+-convergent (i.e.?m-I+-convergent) sequence in intuitionistic fuzzy n-normed spaces and show the relation between them.

Ideal convergence in modified IFNS and $ \mathcal{L} $-fuzzy normed space

“…Mursaleen et al [26,27] introduced the ideas of statistically and ideally convergent double sequences in intuitionistic fuzzy normed space, and Hazarika et al [14] defined generalized ideal convergence in the same space. Hazarika [17] formulated a new variant of ideal convergence with respect to random 2−norm and Khan et al [22] further studied this variant of ideal convergence in the settings of intuitionistic fuzzy n−norm. Esi and Hazarika [9] presented a study on λ-ideal convergent sequence with respect to intuitionistic fuzzy 2−norm.…”