  In the present work, the notion of Super Fractal Interpolation Function
(SFIF) is introduced for finer simulation of the objects of the nature or
outcomes of scientific experiments that reveal one or more structures embedded
in to another. In the construction of SFIF, an IFS is chosen from a pool of
several IFS at each level of iteration leading to implementation of the desired
randomness and variability in fractal interpolation of the given data. Further,
an expository description of our investigations on the integral, the smoothness
and determination of conditions for existence of derivatives of a SFIF is given
in the present work.
