Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

Abstract

Fibonacci difference matrix was defined by Kara in his paper (Kara in J. Inequal. Appl. 2013:38 2013). Recently, Khan et al. (Adv. Differ. Equ. 2018:199, 2018) using the Fibonacci difference matrix F̂ and ideal convergence defined the notion of c0I(Fˆ), cI(Fˆ) and l∞I(Fˆ). In this paper, we give the ideal convergence of Fibonacci difference sequence space in intuitionistic fuzzy normed space with respect to fuzzy norm (μ, ν). Moreover, we investigate some basic properties of the said spaces such as linearity, hausdorffness.