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

Abstract

This paper aims to present the concept of I & I * convergence and sp-I convergence along with the I Cauchy criterion in L-fuzzy normed space (in short L-FNS). Characterizations of these notions in L-FNS have been shown in the paper. This paper also presents how these notions are related to each other in L-FNS. We have also given certain important counter-examples to establish the relationships between them. In addition, we introduce the L-fuzzy limit points and L-fuzzy cluster points of a sequence in L-FNS.