  We develop a new definition of fractals which can be considered as an
abstraction of the fractals determined through self-similarity. The definition
is formulated through imposing conditions which are governed the relation
between the subsets of a metric space to build a porous self-similar structure.
Examples are provided to confirm that the definition is satisfied by large
class of self-similar fractals. The new concepts create new frontiers for
fractals and chaos investigations.
