Khan, Vakeel A.Kara, Emrah EvrenAltaf, HennaKhan, NazneenAhmad, Mobeen2020-04-302020-04-3020191029-242Xhttps://doi.org/10.1186/s13660-019-2152-1https://hdl.handle.net/20.500.12684/3412Khan, Anish/0000-0002-3806-5956WOS: 000476514600001Fibonacci 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 (F) over cap and ideal convergence defined the notion of c(0)(I)((F) over cap), c(I)((F) over cap) and l(infinity)(I) ((F) over cap). In this paper, we give the ideal convergence of Fibonacci difference sequence space in intuitionistic fuzzy normed space with respect to fuzzy norm (mu, nu). Moreover, we investigate some basic properties of the said spaces such as linearity, hausdorffness.en10.1186/s13660-019-2152-1info:eu-repo/semantics/openAccessDifference sequence spaceFibonacci numbersFibonacci difference matrixIntuitionistic fuzzy normed spaceI-convergenceArticleWOS:000476514600001Q2Q1