Generalized ideal convergence in intuitionistic fuzzy normed linear spaces

An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [19], Kostyrko et al. introduced the concept of ideal convergence as a sequence (xk) of real numbers is said to be I-convergent to a real number l, if for each ε > 0 the set {k ∈ N : |xk− l| ≥ ε} belongs to I. The aim of this paper is to introduce and study the notion of λ-ideal convergence in intuitionistic fuzzy normed spaces as a variant of the notion of ideal convergence. Also Iλ−limit points and Iλ-cluster points have been defined and the relation between them has been established. Furthermore, Cauchy and Iλ-Cauchy sequences are introduced and studied.