Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

Abstract

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) $c_{0}^{I}(\hat{F})$, cI(Fˆ) $c^{I}(\hat{F})$ and l∞I(Fˆ) $l_{\infty }^{I}(\hat{F})$. 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) $(\mu ,\nu )$. Moreover, we investigate some basic properties of the said spaces such as linearity, hausdorffness.

Keywords

• Difference sequence space
• Fibonacci numbers
• Fibonacci difference matrix
• Intuitionistic fuzzy normed space
• I-convergence