Abstract
In this paper, we determine some stability results concerning the cubic functional equation
kf(x + ky) + f(kx - y) = k(k(2) + 1)/2[f(x + y) + f(x - y)] + (k(4) - 1)f(y),
where k >= 2 is a fixed integer, in the setting of intuitionistic fuzzy normed spaces (IFNS). Further we study the intuitionistic fuzzy continuity through the existence of a certain solution of a fuzzy stability problem for approximately cubic functional equation.