On (λ, μ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces

Abstract

In this paper, we define (λ, μ)- statistical convergence and (λ, μ)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where λ = (λn) and μ = (μm) be two non-decreasing sequences of positive real numbers such that each tending to ∞ and λn+1 ≤ λn + 1, λ1 = 1; μm+1 ≤ μm + 1, μ1 = 1. We display example that shows our method of convergence is more general for double sequences in intuitionistic fuzzy normed spaces.